%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 12:25:46 EDT 2023

% Result   : Theorem 47.74s 47.02s
% Output   : Proof 47.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWW210+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 22:02:21 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 47.74/47.02  
% 47.74/47.02  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 47.74/47.02  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 47.74/47.02  %-----------------------------------------------------
% 47.74/47.02  ncf(matrix, plain, [(12197 ^ _559966) ^ [] : [v_thesis____], !, (7645 ^ _128844) ^ [_390578, _390580] : [class_RealVector_Oreal__normed__algebra(_390578), -(c_Groups_Otimes__class_Otimes(_390578, _390580, c_Groups_Ozero__class_Ozero(_390578)) = c_Groups_Ozero__class_Ozero(_390578))], (4004 ^ _128844) ^ [_259274, _259276, _259278] : [-(c_RealVector_Onorm__class_Onorm(_259274, c_Rings_Oinverse__class_Odivide(_259274, _259276, _259278)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_259274, _259276), c_RealVector_Onorm__class_Onorm(_259274, _259278))), class_Fields_Ofield__inverse__zero(_259274), class_RealVector_Oreal__normed__field(_259274)], (4064 ^ _128844) ^ [_261488, _261490] : [class_RealVector_Oreal__normed__vector(_261488), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_261488, _261490)))], (7105 ^ _128844) ^ [_368999, _369001] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _368999), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369001, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _368999, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))], (1595 ^ _128844) ^ [_181482, _181484] : [class_Groups_Oordered__ab__group__add__abs(_181482), c_Orderings_Oord__class_Oless(_181482, c_Groups_Ozero__class_Ozero(_181482), _181484), -(c_Groups_Oabs__class_Oabs(_181482, _181484) = _181484)], (12077 ^ _128844) ^ [] : [-(class_Int_Oring__char__0(tc_RealDef_Oreal))], (9357 ^ _128844) ^ [_447482, _447484, _447486, _447488, _447490] : [class_Rings_Olinordered__semiring__strict(_447482), c_Orderings_Oord__class_Oless__eq(_447482, _447484, _447486), c_Orderings_Oord__class_Oless(_447482, _447488, _447490), c_Orderings_Oord__class_Oless(_447482, c_Groups_Ozero__class_Ozero(_447482), _447484), c_Orderings_Oord__class_Oless__eq(_447482, c_Groups_Ozero__class_Ozero(_447482), _447488), -(c_Orderings_Oord__class_Oless(_447482, c_Groups_Otimes__class_Otimes(_447482, _447484, _447488), c_Groups_Otimes__class_Otimes(_447482, _447486, _447490)))], (9227 ^ _128844) ^ [_443300, _443302] : [-(c_Rings_Oinverse__class_Oinverse(_443300, c_Int_Onumber__class_Onumber__of(_443300, _443302)) = c_Rings_Oinverse__class_Odivide(_443300, c_Groups_Oone__class_Oone(_443300), c_Int_Onumber__class_Onumber__of(_443300, _443302))), class_Int_Onumber(_443300), class_Rings_Odivision__ring(_443300)], (5072 ^ _128844) ^ [_297696, _297698, _297700] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _297696, _297698), _297700), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _297696, _297700))], (5144 ^ _128844) ^ [_300557, _300559, _300561] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _300557, _300559), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _300561, _300557), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _300561, _300559)))], (7103 ^ _128844) ^ [_368890, _368892] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _368890, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _368892, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))], (11413 ^ _128844) ^ [_518189] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _518189, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _518189)], (10537 ^ _128844) ^ [_487100, _487102, _487104, _487106] : [class_Fields_Olinordered__field__inverse__zero(_487100), c_Orderings_Oord__class_Oless__eq(_487100, _487102, _487104), c_Orderings_Oord__class_Oless__eq(_487100, _487106, c_Groups_Ozero__class_Ozero(_487100)), c_Orderings_Oord__class_Oless(_487100, c_Groups_Ozero__class_Ozero(_487100), c_Groups_Otimes__class_Otimes(_487100, _487102, _487104)), -(c_Orderings_Oord__class_Oless__eq(_487100, c_Rings_Oinverse__class_Odivide(_487100, _487106, _487102), c_Rings_Oinverse__class_Odivide(_487100, _487106, _487104)))], (12147 ^ _128844) ^ [] : [-(class_Groups_Omonoid__mult(tc_Complex_Ocomplex))], (6463 ^ _128844) ^ [_347236, _347238, _347240, _347242] : [class_Rings_Olinordered__semidom(_347236), c_Orderings_Oord__class_Oless(_347236, c_Power_Opower__class_Opower(_347236, _347238, _347240), c_Power_Opower__class_Opower(_347236, _347242, _347240)), c_Orderings_Oord__class_Oless__eq(_347236, c_Groups_Ozero__class_Ozero(_347236), _347242), -(c_Orderings_Oord__class_Oless(_347236, _347238, _347242))], (4878 ^ _128844) ^ [_290429, _290431, _290433] : [class_Rings_Olinordered__idom(_290429), -(_290431 = _290433), -(c_Orderings_Oord__class_Oless(_290429, _290431, _290433)), -(c_Orderings_Oord__class_Oless(_290429, _290433, _290431))], (11527 ^ _128844) ^ [_521896, _521898, _521900] : [class_Groups_Oordered__ab__group__add(_521896), 11530 ^ _128844 : [(11537 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_521896, _521900, c_Groups_Ouminus__class_Ouminus(_521896, _521898)), -(c_Orderings_Oord__class_Oless__eq(_521896, _521898, c_Groups_Ouminus__class_Ouminus(_521896, _521900)))], (11531 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_521896, _521898, c_Groups_Ouminus__class_Ouminus(_521896, _521900)), -(c_Orderings_Oord__class_Oless__eq(_521896, _521900, c_Groups_Ouminus__class_Ouminus(_521896, _521898)))]]], (9555 ^ _128844) ^ [_454019, _454021, _454023, _454025, _454027, _454029] : [class_Rings_Oordered__ring(_454019), 9558 ^ _128844 : [(9565 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_454019, _454025, c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, c_Groups_Ominus__class_Ominus(_454019, _454027, _454021), _454023), _454029)), -(c_Orderings_Oord__class_Oless__eq(_454019, c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, _454021, _454023), _454025), c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, _454027, _454023), _454029)))], (9559 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_454019, c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, _454021, _454023), _454025), c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, _454027, _454023), _454029)), -(c_Orderings_Oord__class_Oless__eq(_454019, _454025, c_Groups_Oplus__class_Oplus(_454019, c_Groups_Otimes__class_Otimes(_454019, c_Groups_Ominus__class_Ominus(_454019, _454027, _454021), _454023), _454029)))]]], (11633 ^ _128844) ^ [_525305, _525307, _525309] : [class_Groups_Oab__group__add(_525305), -(c_Groups_Ouminus__class_Ouminus(_525305, c_Groups_Ominus__class_Ominus(_525305, _525307, _525309)) = c_Groups_Ominus__class_Ominus(_525305, _525309, _525307))], (11793 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint))], (5884 ^ _128844) ^ [_327884, _327886] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _327884, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _327886, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _327884, _327886)), -(_327884 = _327886)], (4356 ^ _128844) ^ [_272453, _272455, _272457, _272459] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_272453), 4359 ^ _128844 : [(4366 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_272453, _272457, _272459), -(c_Orderings_Oord__class_Oless__eq(_272453, c_Groups_Oplus__class_Oplus(_272453, _272455, _272457), c_Groups_Oplus__class_Oplus(_272453, _272455, _272459)))], (4360 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_272453, c_Groups_Oplus__class_Oplus(_272453, _272455, _272457), c_Groups_Oplus__class_Oplus(_272453, _272455, _272459)), -(c_Orderings_Oord__class_Oless__eq(_272453, _272457, _272459))]]], (3042 ^ _128844) ^ [_227638, _227640] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227638), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227640)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _227638, _227640))], (12137 ^ _128844) ^ [] : [-(class_RealVector_Oreal__field(tc_Complex_Ocomplex))], (7221 ^ _128844) ^ [_374072, _374074, _374076, _374078, _374080] : [class_Rings_Ocomm__semiring__1(_374072), -(c_Groups_Otimes__class_Otimes(_374072, c_Groups_Otimes__class_Otimes(_374072, _374074, _374076), c_Groups_Otimes__class_Otimes(_374072, _374078, _374080)) = c_Groups_Otimes__class_Otimes(_374072, c_Groups_Otimes__class_Otimes(_374072, _374074, _374078), c_Groups_Otimes__class_Otimes(_374072, _374076, _374080)))], (798 ^ _128844) ^ [_153530, _153532, _153534, _153536, _153538, _153540] : [-(c_Power_Opower__class_Opower(_153540, _153536, _153532) = c_Power_Opower__class_Opower(_153538, _153534, _153530)), _153540 = _153538, _153536 = _153534, _153532 = _153530], (3868 ^ _128844) ^ [_254673] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254673, _254673))], (3128 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (11235 ^ _128844) ^ [_510918, _510920, _510922] : [c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510918, _510920) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510922, _510920), -(_510918 = _510922), -(_510920 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5559 ^ _128844) ^ [_316164] : [class_Int_Onumber__ring(_316164), -(c_Groups_Oone__class_Oone(_316164) = c_Int_Onumber__class_Onumber__of(_316164, c_Int_OBit1(c_Int_OPls)))], (3912 ^ _128844) ^ [_256169, _256171] : [3913 ^ _128844 : [(3916 ^ _128844) ^ [] : [_256169 = _256171], (3914 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _256169, _256171)]], -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _256169, _256171))], (12065 ^ _128844) ^ [] : [-(class_Groups_Omonoid__add(tc_RealDef_Oreal))], (12053 ^ _128844) ^ [] : [-(class_Groups_Oab__group__add(tc_RealDef_Oreal))], (9743 ^ _128844) ^ [_460578, _460580, _460582, _460584] : [class_Fields_Olinordered__field(_460578), c_Orderings_Oord__class_Oless(_460578, c_Groups_Ozero__class_Ozero(_460578), _460580), 9750 ^ _128844 : [(9757 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_460578, _460582, c_Groups_Otimes__class_Otimes(_460578, _460584, _460580)), -(c_Orderings_Oord__class_Oless(_460578, c_Rings_Oinverse__class_Odivide(_460578, _460582, _460580), _460584))], (9751 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_460578, c_Rings_Oinverse__class_Odivide(_460578, _460582, _460580), _460584), -(c_Orderings_Oord__class_Oless(_460578, _460582, c_Groups_Otimes__class_Otimes(_460578, _460584, _460580)))]]], (2960 ^ _128844) ^ [_224814] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _224814, _224814))], (2760 ^ _128844) ^ [_218253, _218255] : [c_Int_OBit0(_218253) = c_Int_OBit1(_218255)], (7669 ^ _128844) ^ [_391478, _391480] : [class_Rings_Odivision__ring__inverse__zero(_391478), 7672 ^ _128844 : [(7679 ^ _128844) ^ [] : [_391480 = c_Groups_Ozero__class_Ozero(_391478), -(c_Rings_Oinverse__class_Oinverse(_391478, _391480) = c_Groups_Ozero__class_Ozero(_391478))], (7673 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Oinverse(_391478, _391480) = c_Groups_Ozero__class_Ozero(_391478), -(_391480 = c_Groups_Ozero__class_Ozero(_391478))]]], (3432 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_s(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), v_r))], (3048 ^ _128844) ^ [_227816, _227818] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _227816, _227818), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227816), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227818)))], (11717 ^ _128844) ^ [_528303, _528305] : [class_Int_Onumber__ring(_528303), -(c_Groups_Ouminus__class_Ouminus(_528303, c_Int_Onumber__class_Onumber__of(_528303, _528305)) = c_Int_Onumber__class_Onumber__of(_528303, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _528305)))], (5317 ^ _128844) ^ [_307320, _307322] : [class_Rings_Olinordered__semidom(_307320), -(c_Orderings_Oord__class_Oless(_307320, _307322, c_Groups_Oplus__class_Oplus(_307320, _307322, c_Groups_Oone__class_Oone(_307320))))], (11991 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal))], (11377 ^ _128844) ^ [_516920, _516922, _516924] : [class_RealVector_Oreal__normed__algebra(_516920), -(c_Groups_Otimes__class_Otimes(_516920, c_Groups_Ouminus__class_Ouminus(_516920, _516922), _516924) = c_Groups_Ouminus__class_Ouminus(_516920, c_Groups_Otimes__class_Otimes(_516920, _516922, _516924)))], (1711 ^ _128844) ^ [_184984, _184986] : [-(c_Rings_Oinverse__class_Odivide(_184984, _184986, c_Int_Onumber__class_Onumber__of(_184984, c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_184984)), class_Fields_Ofield__inverse__zero(_184984), class_Int_Onumber__ring(_184984)], (10681 ^ _128844) ^ [_491688, _491690, _491692, _491694] : [class_Fields_Olinordered__field__inverse__zero(_491688), class_Int_Onumber(_491688), 10688 ^ _128844 : [(10689 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, c_Rings_Oinverse__class_Odivide(_491688, _491690, _491692), c_Int_Onumber__class_Onumber__of(_491688, _491694)), 10692 ^ _128844 : [(10699 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), _491692)), 10702 ^ _128844 : [(10709 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_491688, _491692, c_Groups_Ozero__class_Ozero(_491688))), -(c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), c_Int_Onumber__class_Onumber__of(_491688, _491694)))], (10703 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, _491692, c_Groups_Ozero__class_Ozero(_491688)), -(c_Orderings_Oord__class_Oless(_491688, c_Groups_Otimes__class_Otimes(_491688, c_Int_Onumber__class_Onumber__of(_491688, _491694), _491692), _491690))]]], (10693 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), _491692), -(c_Orderings_Oord__class_Oless(_491688, _491690, c_Groups_Otimes__class_Otimes(_491688, c_Int_Onumber__class_Onumber__of(_491688, _491694), _491692)))]]], (10715 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_491688, c_Rings_Oinverse__class_Odivide(_491688, _491690, _491692), c_Int_Onumber__class_Onumber__of(_491688, _491694))), 10718 ^ _128844 : [(10721 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, _491690, c_Groups_Otimes__class_Otimes(_491688, c_Int_Onumber__class_Onumber__of(_491688, _491694), _491692))], (10719 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), _491692))]], 10722 ^ _128844 : [(10725 ^ _128844) ^ [] : [10726 ^ _128844 : [(10729 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, c_Groups_Otimes__class_Otimes(_491688, c_Int_Onumber__class_Onumber__of(_491688, _491694), _491692), _491690)], (10727 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_491688, _491692, c_Groups_Ozero__class_Ozero(_491688)))]], 10730 ^ _128844 : [(10733 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), c_Int_Onumber__class_Onumber__of(_491688, _491694))], (10731 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, _491692, c_Groups_Ozero__class_Ozero(_491688))]]], (10723 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_491688, c_Groups_Ozero__class_Ozero(_491688), _491692)]]]]], (11979 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal))], (3416 ^ _128844) ^ [_239527, _239529, _239531, _239533] : [class_Fields_Olinordered__field(_239527), c_Orderings_Oord__class_Oless(_239527, _239529, _239531), c_Orderings_Oord__class_Oless(_239527, c_Groups_Ozero__class_Ozero(_239527), _239533), -(c_Orderings_Oord__class_Oless(_239527, c_Rings_Oinverse__class_Odivide(_239527, _239529, _239533), c_Rings_Oinverse__class_Odivide(_239527, _239531, _239533)))], (7179 ^ _128844) ^ [_372048, _372050, _372052] : [class_Rings_Ocomm__semiring__1(_372048), -(c_Groups_Otimes__class_Otimes(_372048, _372050, _372052) = c_Groups_Otimes__class_Otimes(_372048, _372052, _372050))], (11875 ^ _128844) ^ [] : [-(class_Rings_Oring__1(tc_Int_Oint))], (9763 ^ _128844) ^ [_461229, _461231, _461233, _461235] : [class_Fields_Olinordered__field(_461229), c_Orderings_Oord__class_Oless(_461229, c_Groups_Ozero__class_Ozero(_461229), _461231), c_Orderings_Oord__class_Oless(_461229, _461233, c_Groups_Otimes__class_Otimes(_461229, _461235, _461231)), -(c_Orderings_Oord__class_Oless(_461229, c_Rings_Oinverse__class_Odivide(_461229, _461233, _461231), _461235))], (9937 ^ _128844) ^ [_467342, _467344, _467346] : [class_Rings_Oordered__ring__abs(_467342), -(c_Groups_Oabs__class_Oabs(_467342, c_Groups_Otimes__class_Otimes(_467342, _467344, _467346)) = c_Groups_Otimes__class_Otimes(_467342, c_Groups_Oabs__class_Oabs(_467342, _467344), c_Groups_Oabs__class_Oabs(_467342, _467346))), 9944 ^ _128844 : [(9947 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_467342, _467344, c_Groups_Ozero__class_Ozero(_467342))], (9945 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_467342, c_Groups_Ozero__class_Ozero(_467342), _467344)]], 9948 ^ _128844 : [(9951 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_467342, _467346, c_Groups_Ozero__class_Ozero(_467342))], (9949 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_467342, c_Groups_Ozero__class_Ozero(_467342), _467346)]]], (3570 ^ _128844) ^ [_244641, _244643] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _244641, _244643), _244643 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (11957 ^ _128844) ^ [] : [-(class_Int_Onumber(tc_Nat_Onat))], (11321 ^ _128844) ^ [_514638, _514640, _514642] : [class_Rings_Oring(_514638), -(c_Groups_Otimes__class_Otimes(_514638, c_Groups_Ouminus__class_Ouminus(_514638, _514640), c_Groups_Ouminus__class_Ouminus(_514638, _514642)) = c_Groups_Otimes__class_Otimes(_514638, _514640, _514642))], (11913 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semidom(tc_Nat_Onat))], (5455 ^ _128844) ^ [_312238, _312240] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312238, _312240), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312238, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312240, _312238)) = _312240)], (3536 ^ _128844) ^ [_243475, _243477] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243477, _243475), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _243475, _243477)))], (5371 ^ _128844) ^ [_309053, _309055] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_309053), c_Int_OBit0(_309055)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _309053, _309055)))], (6001 ^ _128844) ^ [_331828, _331830] : [6002 ^ _128844 : [(6003 ^ _128844) ^ [_331903] : [_331830 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _331828, _331903)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _331828, _331830))], (11359 ^ _128844) ^ [_516046, _516048] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _516046, _516048) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _516048, _516046))], (5098 ^ _128844) ^ [_298674, _298676, _298678] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _298674, _298676), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _298674, _298678), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _298676, _298678)))], (1101 ^ _128844) ^ [_164723, _164725] : [class_Orderings_Opreorder(_164723), -(c_Orderings_Oord__class_Oless__eq(_164723, _164725, _164725))], (4892 ^ _128844) ^ [_290965, _290967, _290969, _290971, _290973, _290975, _290977, _290979, _290981, _290983, _290985] : [hAPP(_290965, hAPP(_290967, _290969)) = hAPP(_290971, hAPP(_290973, _290975)), -(hAPP(c_Fun_Ocomp(_290977, _290979, _290981, _290965, _290967), _290969) = hAPP(c_Fun_Ocomp(_290983, _290979, _290985, _290971, _290973), _290975))], (11977 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal))], (12171 ^ _128844) ^ [] : [-(class_Groups_Ozero(tc_Complex_Ocomplex))], (214 ^ _128844) ^ [_135346, _135348] : [-(class_Rings_Olinordered__semidom(_135346)), _135348 = _135346, class_Rings_Olinordered__semidom(_135348)], (3544 ^ _128844) ^ [_243748] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _243748, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _243748)], (6955 ^ _128844) ^ [_363234] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(_363234)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _363234))], (8183 ^ _128844) ^ [_408136, _408138, _408140, _408142] : [class_Rings_Oordered__ring(_408136), c_Orderings_Oord__class_Oless__eq(_408136, _408138, _408140), c_Orderings_Oord__class_Oless__eq(_408136, _408142, c_Groups_Ozero__class_Ozero(_408136)), -(c_Orderings_Oord__class_Oless__eq(_408136, c_Groups_Otimes__class_Otimes(_408136, _408140, _408142), c_Groups_Otimes__class_Otimes(_408136, _408138, _408142)))], (5693 ^ _128844) ^ [_320893] : [class_Int_Onumber__ring(_320893), -(c_Groups_Oplus__class_Oplus(_320893, c_Groups_Oone__class_Oone(_320893), c_Groups_Oone__class_Oone(_320893)) = c_Int_Onumber__class_Onumber__of(_320893, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))], (1537 ^ _128844) ^ [_179580] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _179580, c_Int_OPls), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_179580), c_Int_OPls))], (1385 ^ _128844) ^ [_174393, _174395] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_174393), c_Int_OBit1(_174395)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _174393, _174395))], (12119 ^ _128844) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex))], (3640 ^ _128844) ^ [_247039] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Complex_ORe(_247039), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _247039)))], (4082 ^ _128844) ^ [_262152] : [c_SEQ_Osubseq(_262152), 4085 ^ _128844 : [(4086 ^ _128844) ^ [_262310, _262312] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _262312, _262310), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_262152, _262312), hAPP(_262152, _262310)))]]], (11909 ^ _128844) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Nat_Onat))], (3114 ^ _128844) ^ [_229980] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_229980), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _229980, c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (12083 ^ _128844) ^ [] : [-(class_Orderings_Oord(tc_RealDef_Oreal))], (11761 ^ _128844) ^ [_530105, _530107] : [class_Orderings_Opreorder(_530105), -(class_Orderings_Opreorder(tc_fun(_530107, _530105)))], (4674 ^ _128844) ^ [_283297, _283299] : [class_Groups_Olinordered__ab__group__add(_283297), 4677 ^ _128844 : [(4684 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_283297, _283299, c_Groups_Ozero__class_Ozero(_283297)), -(c_Orderings_Oord__class_Oless(_283297, c_Groups_Oplus__class_Oplus(_283297, _283299, _283299), c_Groups_Ozero__class_Ozero(_283297)))], (4678 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_283297, c_Groups_Oplus__class_Oplus(_283297, _283299, _283299), c_Groups_Ozero__class_Ozero(_283297)), -(c_Orderings_Oord__class_Oless(_283297, _283299, c_Groups_Ozero__class_Ozero(_283297)))]]], (6231 ^ _128844) ^ [_339305, _339307, _339309, _339311] : [class_Fields_Ofield(_339305), -(_339307 = c_Groups_Ozero__class_Ozero(_339305)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _339309, _339311), -(c_Power_Opower__class_Opower(_339305, _339307, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _339311, _339309)) = c_Rings_Oinverse__class_Odivide(_339305, c_Power_Opower__class_Opower(_339305, _339307, _339311), c_Power_Opower__class_Opower(_339305, _339307, _339309)))], (7773 ^ _128844) ^ [_394972, _394974, _394976] : [class_Rings_Olinordered__idom(_394972), -(c_Groups_Oabs__class_Oabs(_394972, c_Groups_Otimes__class_Otimes(_394972, _394974, _394976)) = c_Groups_Otimes__class_Otimes(_394972, c_Groups_Oabs__class_Oabs(_394972, _394974), c_Groups_Oabs__class_Oabs(_394972, _394976)))], (4014 ^ _128844) ^ [_259612, _259614, _259616] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _259612, _259614), _259616) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _259612, _259616), _259614))], (5026 ^ _128844) ^ [_295986] : [class_Rings_Ozero__neq__one(_295986), c_Groups_Oone__class_Oone(_295986) = c_Groups_Ozero__class_Ozero(_295986)], (3486 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (9671 ^ _128844) ^ [_458295, _458297, _458299, _458301] : [class_Fields_Olinordered__field__inverse__zero(_458295), 9674 ^ _128844 : [(9675 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, c_Rings_Oinverse__class_Odivide(_458295, _458297, _458299), _458301), 9678 ^ _128844 : [(9685 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458299)), 9688 ^ _128844 : [(9695 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_458295, _458299, c_Groups_Ozero__class_Ozero(_458295))), -(c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458301))], (9689 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, _458299, c_Groups_Ozero__class_Ozero(_458295)), -(c_Orderings_Oord__class_Oless(_458295, c_Groups_Otimes__class_Otimes(_458295, _458301, _458299), _458297))]]], (9679 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458299), -(c_Orderings_Oord__class_Oless(_458295, _458297, c_Groups_Otimes__class_Otimes(_458295, _458301, _458299)))]]], (9701 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_458295, c_Rings_Oinverse__class_Odivide(_458295, _458297, _458299), _458301)), 9704 ^ _128844 : [(9707 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, _458297, c_Groups_Otimes__class_Otimes(_458295, _458301, _458299))], (9705 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458299))]], 9708 ^ _128844 : [(9711 ^ _128844) ^ [] : [9712 ^ _128844 : [(9715 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, c_Groups_Otimes__class_Otimes(_458295, _458301, _458299), _458297)], (9713 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_458295, _458299, c_Groups_Ozero__class_Ozero(_458295)))]], 9716 ^ _128844 : [(9719 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458301)], (9717 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, _458299, c_Groups_Ozero__class_Ozero(_458295))]]], (9709 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_458295, c_Groups_Ozero__class_Ozero(_458295), _458299)]]]]], (11897 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_Nat_Onat))], (5066 ^ _128844) ^ [_297379] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _297379, c_Int_OPls) = _297379)], (7577 ^ _128844) ^ [_388348, _388350] : [class_Rings_Omult__zero(_388348), -(c_Groups_Otimes__class_Otimes(_388348, _388350, c_Groups_Ozero__class_Ozero(_388348)) = c_Groups_Ozero__class_Ozero(_388348))], (10821 ^ _128844) ^ [_496332, _496334, _496336, _496338, _496340, _496342] : [class_Rings_Olinordered__semiring__1__strict(_496332), c_Orderings_Oord__class_Oless(_496332, _496334, _496336), c_Orderings_Oord__class_Oless(_496332, _496338, _496336), c_Orderings_Oord__class_Oless__eq(_496332, c_Groups_Ozero__class_Ozero(_496332), _496340), c_Orderings_Oord__class_Oless__eq(_496332, c_Groups_Ozero__class_Ozero(_496332), _496342), c_Groups_Oplus__class_Oplus(_496332, _496340, _496342) = c_Groups_Oone__class_Oone(_496332), -(c_Orderings_Oord__class_Oless(_496332, c_Groups_Oplus__class_Oplus(_496332, c_Groups_Otimes__class_Otimes(_496332, _496340, _496334), c_Groups_Otimes__class_Otimes(_496332, _496342, _496338)), _496336))], (3920 ^ _128844) ^ [_256488, _256490] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _256488, _256490), 3923 ^ _128844 : [(3926 ^ _128844) ^ [] : [_256488 = _256490], (3924 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _256488, _256490))]]], (1691 ^ _128844) ^ [_184416, _184418] : [class_Int_Onumber__ring(_184416), class_Rings_Olinordered__idom(_184416), 1698 ^ _128844 : [(1705 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _184418), -(c_Orderings_Oord__class_Oless(_184416, c_Groups_Ozero__class_Ozero(_184416), c_Int_Onumber__class_Onumber__of(_184416, _184418)))], (1699 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_184416, c_Groups_Ozero__class_Ozero(_184416), c_Int_Onumber__class_Onumber__of(_184416, _184418)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _184418))]]], (8147 ^ _128844) ^ [_406976, _406978, _406980, _406982, _406984] : [class_Rings_Oordered__semiring(_406976), c_Orderings_Oord__class_Oless__eq(_406976, _406978, _406980), c_Orderings_Oord__class_Oless__eq(_406976, _406982, _406984), c_Orderings_Oord__class_Oless__eq(_406976, c_Groups_Ozero__class_Ozero(_406976), _406978), c_Orderings_Oord__class_Oless__eq(_406976, c_Groups_Ozero__class_Ozero(_406976), _406982), -(c_Orderings_Oord__class_Oless__eq(_406976, c_Groups_Otimes__class_Otimes(_406976, _406978, _406982), c_Groups_Otimes__class_Otimes(_406976, _406980, _406984)))], (6855 ^ _128844) ^ [_359968] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _359968, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_359968), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (7379 ^ _128844) ^ [_380700, _380702, _380704, _380706] : [class_RealVector_Oreal__normed__algebra(_380700), -(c_Groups_Otimes__class_Otimes(_380700, c_Groups_Ominus__class_Ominus(_380700, _380702, _380704), _380706) = c_Groups_Ominus__class_Ominus(_380700, c_Groups_Otimes__class_Otimes(_380700, _380702, _380706), c_Groups_Otimes__class_Otimes(_380700, _380704, _380706)))], (4442 ^ _128844) ^ [_275501, _275503, _275505, _275507] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_275501), 4445 ^ _128844 : [(4452 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_275501, _275505, _275507), -(c_Orderings_Oord__class_Oless(_275501, c_Groups_Oplus__class_Oplus(_275501, _275503, _275505), c_Groups_Oplus__class_Oplus(_275501, _275503, _275507)))], (4446 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_275501, c_Groups_Oplus__class_Oplus(_275501, _275503, _275505), c_Groups_Oplus__class_Oplus(_275501, _275503, _275507)), -(c_Orderings_Oord__class_Oless(_275501, _275505, _275507))]]], (1391 ^ _128844) ^ [_174567, _174569] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _174567, _174569), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_174567), c_Int_OBit1(_174569)))], (11999 ^ _128844) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal))], (564 ^ _128844) ^ [_145671, _145673] : [-(class_Groups_Omonoid__add(_145671)), _145673 = _145671, class_Groups_Omonoid__add(_145673)], (8439 ^ _128844) ^ [_416376, _416378, _416380, _416382] : [class_Rings_Olinordered__semiring__strict(_416376), c_Orderings_Oord__class_Oless(_416376, _416378, _416380), c_Orderings_Oord__class_Oless(_416376, c_Groups_Ozero__class_Ozero(_416376), _416382), -(c_Orderings_Oord__class_Oless(_416376, c_Groups_Otimes__class_Otimes(_416376, _416378, _416382), c_Groups_Otimes__class_Otimes(_416376, _416380, _416382)))], (7849 ^ _128844) ^ [_397559, _397561, _397563] : [class_Rings_Odivision__ring(_397559), c_Groups_Otimes__class_Otimes(_397559, _397561, _397563) = c_Groups_Oone__class_Oone(_397559), -(c_Rings_Oinverse__class_Oinverse(_397559, _397561) = _397563)], (7355 ^ _128844) ^ [_379548, _379550, _379552, _379554] : [class_RealVector_Oreal__normed__algebra(_379548), -(c_Groups_Otimes__class_Otimes(_379548, c_Groups_Oplus__class_Oplus(_379548, _379550, _379552), _379554) = c_Groups_Oplus__class_Oplus(_379548, c_Groups_Otimes__class_Otimes(_379548, _379550, _379554), c_Groups_Otimes__class_Otimes(_379548, _379552, _379554)))], (9069 ^ _128844) ^ [_438165] : [_438165 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _438165, _438165))], (6867 ^ _128844) ^ [_360366] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _360366), c_NthRoot_Osqrt(_360366) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_360366 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (9271 ^ _128844) ^ [_444699, _444701, _444703, _444705] : [class_Rings_Olinordered__ring__strict(_444699), c_Orderings_Oord__class_Oless(_444699, _444701, c_Groups_Ozero__class_Ozero(_444699)), 9278 ^ _128844 : [(9285 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_444699, _444705, _444703), -(c_Orderings_Oord__class_Oless__eq(_444699, c_Groups_Otimes__class_Otimes(_444699, _444701, _444703), c_Groups_Otimes__class_Otimes(_444699, _444701, _444705)))], (9279 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_444699, c_Groups_Otimes__class_Otimes(_444699, _444701, _444703), c_Groups_Otimes__class_Otimes(_444699, _444701, _444705)), -(c_Orderings_Oord__class_Oless__eq(_444699, _444705, _444703))]]], (10555 ^ _128844) ^ [_487665, _487667, _487669] : [class_Rings_Olinordered__semidom(_487665), c_Orderings_Oord__class_Oless(_487665, c_Groups_Ozero__class_Ozero(_487665), _487667), c_Orderings_Oord__class_Oless(_487665, _487667, c_Groups_Oone__class_Oone(_487665)), -(c_Orderings_Oord__class_Oless(_487665, c_Groups_Otimes__class_Otimes(_487665, _487667, c_Power_Opower__class_Opower(_487665, _487667, _487669)), c_Power_Opower__class_Opower(_487665, _487667, _487669)))], (6049 ^ _128844) ^ [_333447, _333449] : [class_Rings_Olinordered__idom(_333447), -(c_Groups_Oabs__class_Oabs(_333447, c_Power_Opower__class_Opower(_333447, _333449, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(_333447, _333449, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (2338 ^ _128844) ^ [_205003, _205005, _205007, _205009] : [class_Orderings_Oorder(_205003), c_Orderings_Oord__class_Oless__eq(_205003, _205005, _205007), c_Orderings_Oord__class_Oless(_205003, _205009, _205005), -(c_Orderings_Oord__class_Oless(_205003, _205009, _205007))], (5878 ^ _128844) ^ [] : [-(c_Complex_OIm(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (4246 ^ _128844) ^ [_268629, _268631] : [class_Groups_Omonoid__add(_268629), -(c_Groups_Oplus__class_Oplus(_268629, c_Groups_Ozero__class_Ozero(_268629), _268631) = _268631)], (4286 ^ _128844) ^ [_269991, _269993] : [class_Groups_Olinordered__ab__group__add(_269991), 4289 ^ _128844 : [(4296 ^ _128844) ^ [] : [_269993 = c_Groups_Ozero__class_Ozero(_269991), -(c_Groups_Oplus__class_Oplus(_269991, _269993, _269993) = c_Groups_Ozero__class_Ozero(_269991))], (4290 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_269991, _269993, _269993) = c_Groups_Ozero__class_Ozero(_269991), -(_269993 = c_Groups_Ozero__class_Ozero(_269991))]]], (10195 ^ _128844) ^ [_476144, _476146, _476148] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _476144), 10198 ^ _128844 : [(10205 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _476146, _476148), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476146, _476144), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476148, _476144)))], (10199 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476146, _476144), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476148, _476144)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _476146, _476148))]]], (5876 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (11893 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat))], (2768 ^ _128844) ^ [_218541] : [_218541 = c_Int_OPls, -(c_Int_OBit0(_218541) = c_Int_OPls)], (3836 ^ _128844) ^ [_253643, _253645] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253643, _253645), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253645, _253643), -(_253643 = _253645)], (10499 ^ _128844) ^ [_485870, _485872, _485874, _485876] : [class_Fields_Olinordered__field(_485870), c_Orderings_Oord__class_Oless(_485870, _485872, c_Groups_Ozero__class_Ozero(_485870)), 10506 ^ _128844 : [(10513 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_485870, c_Groups_Otimes__class_Otimes(_485870, _485876, _485872), _485874), -(c_Orderings_Oord__class_Oless__eq(_485870, c_Rings_Oinverse__class_Odivide(_485870, _485874, _485872), _485876))], (10507 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_485870, c_Rings_Oinverse__class_Odivide(_485870, _485874, _485872), _485876), -(c_Orderings_Oord__class_Oless__eq(_485870, c_Groups_Otimes__class_Otimes(_485870, _485876, _485872), _485874))]]], (11861 ^ _128844) ^ [] : [-(class_Groups_Ogroup__add(tc_Int_Oint))], (2120 ^ _128844) ^ [_198191, _198193, _198195] : [class_Orderings_Olinorder(_198191), -(_198193 = _198195), -(c_Orderings_Oord__class_Oless(_198191, _198193, _198195)), -(c_Orderings_Oord__class_Oless(_198191, _198195, _198193))], (3818 ^ _128844) ^ [_253093, _253095] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _253093, _253095), 3821 ^ _128844 : [(3824 ^ _128844) ^ [] : [_253093 = _253095], (3822 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253093, _253095))]]], (8845 ^ _128844) ^ [_430603, _430605, _430607, _430609] : [class_Fields_Ofield__inverse__zero(_430603), -(_430605 = c_Groups_Ozero__class_Ozero(_430603)), -(c_Rings_Oinverse__class_Odivide(_430603, c_Groups_Otimes__class_Otimes(_430603, _430605, _430607), c_Groups_Otimes__class_Otimes(_430603, _430605, _430609)) = c_Rings_Oinverse__class_Odivide(_430603, _430607, _430609))], (2060 ^ _128844) ^ [_196241, _196243, _196245] : [class_Orderings_Opreorder(_196241), c_Orderings_Oord__class_Oless(_196241, _196243, _196245), c_Orderings_Oord__class_Oless(_196241, _196245, _196243)], (8031 ^ _128844) ^ [_403181, _403183] : [class_Fields_Olinordered__field__inverse__zero(_403181), 8034 ^ _128844 : [(8041 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_403181, c_Groups_Ozero__class_Ozero(_403181), _403183), -(c_Orderings_Oord__class_Oless(_403181, c_Groups_Ozero__class_Ozero(_403181), c_Rings_Oinverse__class_Oinverse(_403181, _403183)))], (8035 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_403181, c_Groups_Ozero__class_Ozero(_403181), c_Rings_Oinverse__class_Oinverse(_403181, _403183)), -(c_Orderings_Oord__class_Oless(_403181, c_Groups_Ozero__class_Ozero(_403181), _403183))]]], (12133 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex))], (1247 ^ _128844) ^ [_169766, _169768] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_169766), c_Int_OBit0(_169768)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _169766, _169768))], (1421 ^ _128844) ^ [_175693, _175695] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _175693, _175695), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_175693), c_Int_OBit0(_175695)))], (7045 ^ _128844) ^ [_366652] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _366652), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _366652, c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), _366652))], (11783 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint))], (1549 ^ _128844) ^ [_179973] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _179973), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_179973)))], (910 ^ _128844) ^ [_157576, _157578, _157580, _157582] : [-(c_Groups_Oabs__class_Oabs(_157582, _157578) = c_Groups_Oabs__class_Oabs(_157580, _157576)), _157582 = _157580, _157578 = _157576], (11961 ^ _128844) ^ [] : [-(class_Orderings_Opreorder(tc_HOL_Obool))], (5673 ^ _128844) ^ [_320339, _320341] : [class_Int_Onumber__ring(_320339), class_Rings_Olinordered__idom(_320339), 5680 ^ _128844 : [(5687 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _320341, c_Int_OBit1(c_Int_OPls)), -(c_Orderings_Oord__class_Oless__eq(_320339, c_Int_Onumber__class_Onumber__of(_320339, _320341), c_Groups_Oone__class_Oone(_320339)))], (5681 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_320339, c_Int_Onumber__class_Onumber__of(_320339, _320341), c_Groups_Oone__class_Oone(_320339)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _320341, c_Int_OBit1(c_Int_OPls)))]]], (5870 ^ _128844) ^ [_327362] : [_327362 = c_Groups_Ozero__class_Ozero(tc_Int_Oint), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _327362), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (444 ^ _128844) ^ [_142131, _142133] : [-(class_Groups_Oab__semigroup__mult(_142131)), _142133 = _142131, class_Groups_Oab__semigroup__mult(_142133)], (6919 ^ _128844) ^ [_362055] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_362055), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _362055, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (11371 ^ _128844) ^ [_516664, _516666, _516668] : [class_RealVector_Oreal__normed__algebra(_516664), -(c_Groups_Otimes__class_Otimes(_516664, _516666, c_Groups_Ouminus__class_Ouminus(_516664, _516668)) = c_Groups_Ouminus__class_Ouminus(_516664, c_Groups_Otimes__class_Otimes(_516664, _516666, _516668)))], (4834 ^ _128844) ^ [_288611, _288613, _288615] : [class_Groups_Oordered__comm__monoid__add(_288611), c_Orderings_Oord__class_Oless(_288611, c_Groups_Ozero__class_Ozero(_288611), _288613), c_Orderings_Oord__class_Oless__eq(_288611, c_Groups_Ozero__class_Ozero(_288611), _288615), -(c_Orderings_Oord__class_Oless(_288611, c_Groups_Ozero__class_Ozero(_288611), c_Groups_Oplus__class_Oplus(_288611, _288613, _288615)))], (3182 ^ _128844) ^ [_232087, _232089] : [3183 ^ _128844 : [(3186 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _232087, c_Int_OPls)], (3184 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _232087, _232089)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _232087), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _232089)))], (12019 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring(tc_RealDef_Oreal))], (10625 ^ _128844) ^ [_489923, _489925, _489927, _489929] : [class_Fields_Olinordered__field__inverse__zero(_489923), class_Int_Onumber(_489923), 10632 ^ _128844 : [(10633 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), c_Rings_Oinverse__class_Odivide(_489923, _489927, _489929)), 10636 ^ _128844 : [(10643 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_489923, c_Groups_Ozero__class_Ozero(_489923), _489929)), 10646 ^ _128844 : [(10653 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_489923, _489929, c_Groups_Ozero__class_Ozero(_489923))), -(c_Orderings_Oord__class_Oless(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), c_Groups_Ozero__class_Ozero(_489923)))], (10647 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, _489929, c_Groups_Ozero__class_Ozero(_489923)), -(c_Orderings_Oord__class_Oless(_489923, _489927, c_Groups_Otimes__class_Otimes(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), _489929)))]]], (10637 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, c_Groups_Ozero__class_Ozero(_489923), _489929), -(c_Orderings_Oord__class_Oless(_489923, c_Groups_Otimes__class_Otimes(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), _489929), _489927))]]], (10659 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), c_Rings_Oinverse__class_Odivide(_489923, _489927, _489929))), 10662 ^ _128844 : [(10665 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, c_Groups_Otimes__class_Otimes(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), _489929), _489927)], (10663 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_489923, c_Groups_Ozero__class_Ozero(_489923), _489929))]], 10666 ^ _128844 : [(10669 ^ _128844) ^ [] : [10670 ^ _128844 : [(10673 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, _489927, c_Groups_Otimes__class_Otimes(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), _489929))], (10671 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_489923, _489929, c_Groups_Ozero__class_Ozero(_489923)))]], 10674 ^ _128844 : [(10677 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, c_Int_Onumber__class_Onumber__of(_489923, _489925), c_Groups_Ozero__class_Ozero(_489923))], (10675 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, _489929, c_Groups_Ozero__class_Ozero(_489923))]]], (10667 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_489923, c_Groups_Ozero__class_Ozero(_489923), _489929)]]]]], (12095 ^ _128844) ^ [] : [-(class_Rings_Oidom(tc_RealDef_Oreal))], (11919 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Nat_Onat))], (12047 ^ _128844) ^ [] : [-(class_RealVector_Oreal__field(tc_RealDef_Oreal))], (5533 ^ _128844) ^ [_315228, _315230, _315232] : [class_Fields_Olinordered__field(_315228), c_Orderings_Oord__class_Oless(_315228, _315230, _315232), -(c_Orderings_Oord__class_Oless(_315228, _315230, c_Rings_Oinverse__class_Odivide(_315228, c_Groups_Oplus__class_Oplus(_315228, _315230, _315232), c_Groups_Oplus__class_Oplus(_315228, c_Groups_Oone__class_Oone(_315228), c_Groups_Oone__class_Oone(_315228)))))], (7229 ^ _128844) ^ [_374454, _374456] : [class_Rings_Ocomm__semiring__1(_374454), -(c_Groups_Otimes__class_Otimes(_374454, c_Groups_Ozero__class_Ozero(_374454), _374456) = c_Groups_Ozero__class_Ozero(_374454))], (4944 ^ _128844) ^ [_293019] : [-(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _293019, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _293019, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = _293019)], (1797 ^ _128844) ^ [_187776, _187778, _187780, _187782] : [class_Orderings_Oorder(_187776), c_Orderings_Oord__class_Oless__eq(_187776, _187778, _187780), _187778 = _187782, -(c_Orderings_Oord__class_Oless__eq(_187776, _187782, _187780))], (12023 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semidom(tc_RealDef_Oreal))], (9831 ^ _128844) ^ [_463467, _463469, _463471, _463473] : [class_Fields_Olinordered__field(_463467), c_Orderings_Oord__class_Oless(_463467, _463469, _463471), c_Orderings_Oord__class_Oless(_463467, c_Groups_Ozero__class_Ozero(_463467), _463473), c_Orderings_Oord__class_Oless(_463467, c_Groups_Ozero__class_Ozero(_463467), c_Groups_Otimes__class_Otimes(_463467, _463471, _463469)), -(c_Orderings_Oord__class_Oless(_463467, c_Rings_Oinverse__class_Odivide(_463467, _463473, _463471), c_Rings_Oinverse__class_Odivide(_463467, _463473, _463469)))], (3086 ^ _128844) ^ [_229084] : [c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _229084), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _229084, c_Int_OPls))], (2588 ^ _128844) ^ [_212689, _212691, _212693] : [class_Orderings_Oorder(_212689), 2591 ^ _128844 : [(2600 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_212689, _212691, _212693)), c_Orderings_Oord__class_Oless__eq(_212689, _212691, _212693), -(_212691 = _212693)], (2592 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_212689, _212691, _212693), 2595 ^ _128844 : [(2598 ^ _128844) ^ [] : [_212691 = _212693], (2596 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_212689, _212691, _212693))]]]]], (11983 ^ _128844) ^ [] : [-(class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal))], (6883 ^ _128844) ^ [_360840] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _360840), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_360840)))], (3962 ^ _128844) ^ [_257958, _257960, _257962] : [class_RealVector_Oreal__normed__field(_257958), -(_257960 = c_Groups_Ozero__class_Ozero(_257958)), -(c_RealVector_Onorm__class_Onorm(_257958, c_Rings_Oinverse__class_Odivide(_257958, _257962, _257960)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_257958, _257962), c_RealVector_Onorm__class_Onorm(_257958, _257960)))], (11849 ^ _128844) ^ [] : [-(class_Orderings_Opreorder(tc_Int_Oint))], (4346 ^ _128844) ^ [_272088, _272090, _272092, _272094] : [class_Groups_Oordered__ab__semigroup__add(_272088), c_Orderings_Oord__class_Oless__eq(_272088, _272090, _272092), -(c_Orderings_Oord__class_Oless__eq(_272088, c_Groups_Oplus__class_Oplus(_272088, _272090, _272094), c_Groups_Oplus__class_Oplus(_272088, _272092, _272094)))], (6757 ^ _128844) ^ [] : [-(c_NthRoot_Osqrt(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (4752 ^ _128844) ^ [_285871, _285873] : [class_Int_Onumber__ring(_285871), -(c_Groups_Oplus__class_Oplus(_285871, _285873, c_Int_Onumber__class_Onumber__of(_285871, c_Int_OPls)) = _285873)], (3446 ^ _128844) ^ [_240529, _240531] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _240529, _240531)), 3449 ^ _128844 : [(3456 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _240529)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240531, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (3450 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240529, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _240531))]]], (474 ^ _128844) ^ [_143016, _143018] : [-(class_Rings_Ono__zero__divisors(_143016)), _143018 = _143016, class_Rings_Ono__zero__divisors(_143018)], (12101 ^ _128844) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex))], (7953 ^ _128844) ^ [_400797, _400799, _400801] : [class_Fields_Olinordered__field(_400797), c_Orderings_Oord__class_Oless(_400797, _400799, _400801), c_Orderings_Oord__class_Oless(_400797, _400801, c_Groups_Ozero__class_Ozero(_400797)), -(c_Orderings_Oord__class_Oless(_400797, c_Rings_Oinverse__class_Oinverse(_400797, _400801), c_Rings_Oinverse__class_Oinverse(_400797, _400799)))], (6985 ^ _128844) ^ [_364444, _364446, _364448, _364450] : [class_Rings_Ocomm__semiring__1(_364444), -(c_Groups_Oplus__class_Oplus(_364444, c_Groups_Oplus__class_Oplus(_364444, _364446, _364448), _364450) = c_Groups_Oplus__class_Oplus(_364444, _364446, c_Groups_Oplus__class_Oplus(_364444, _364448, _364450)))], (5565 ^ _128844) ^ [_316362] : [class_Int_Onumber__ring(_316362), -(c_Int_Onumber__class_Onumber__of(_316362, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_316362))], (6877 ^ _128844) ^ [_360676] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_360676)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _360676))], (5864 ^ _128844) ^ [_327198] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _327198), c_Groups_Oone__class_Oone(tc_Int_Oint)), -(_327198 = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (6193 ^ _128844) ^ [_338123] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _338123), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _338123, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (7263 ^ _128844) ^ [_375726, _375728, _375730, _375732] : [class_Rings_Ocomm__semiring__1(_375726), -(c_Groups_Oplus__class_Oplus(_375726, c_Groups_Otimes__class_Otimes(_375726, _375728, _375730), c_Groups_Otimes__class_Otimes(_375726, _375732, _375730)) = c_Groups_Otimes__class_Otimes(_375726, c_Groups_Oplus__class_Oplus(_375726, _375728, _375732), _375730))], (5056 ^ _128844) ^ [_296969] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _296969, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _296969)], (1555 ^ _128844) ^ [_180158] : [-(c_Complex_ORe(c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, _180158)) = c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, _180158))], (7121 ^ _128844) ^ [_369735, _369737, _369739, _369741] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369735, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369737, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369739, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369741, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))))], (11831 ^ _128844) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Int_Oint))], (6261 ^ _128844) ^ [_340325, _340327] : [class_Groups_Omonoid__mult(_340325), -(c_Power_Opower__class_Opower(_340325, c_Groups_Oone__class_Oone(_340325), _340327) = c_Groups_Oone__class_Oone(_340325))], (9103 ^ _128844) ^ [_439534, _439536, _439538] : [class_Fields_Olinordered__field(_439534), c_Orderings_Oord__class_Oless__eq(_439534, _439536, _439538), c_Orderings_Oord__class_Oless(_439534, c_Groups_Ozero__class_Ozero(_439534), _439536), -(c_Orderings_Oord__class_Oless__eq(_439534, c_Rings_Oinverse__class_Oinverse(_439534, _439538), c_Rings_Oinverse__class_Oinverse(_439534, _439536)))], (2774 ^ _128844) ^ [_218766] : [c_Int_OPls = c_Int_OBit0(_218766), -(c_Int_OPls = _218766)], (3642 ^ _128844) ^ [_247123] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Complex_ORe(_247123)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _247123)))], (7797 ^ _128844) ^ [_395880, _395882] : [class_Groups_Ocomm__monoid__mult(_395880), -(c_Groups_Otimes__class_Otimes(_395880, _395882, c_Groups_Oone__class_Oone(_395880)) = _395882)], (11839 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Int_Oint))], (1155 ^ _128844) ^ [_166424] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _166424, c_Int_OPls) = _166424)], (3020 ^ _128844) ^ [_226869, _226871] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _226869, _226871)), -(_226869 = _226871), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _226871, _226869))], (7695 ^ _128844) ^ [_392272, _392274] : [class_Rings_Odivision__ring(_392272), -(_392274 = c_Groups_Ozero__class_Ozero(_392272)), -(c_Rings_Oinverse__class_Oinverse(_392272, c_Rings_Oinverse__class_Oinverse(_392272, _392274)) = _392274)], (9095 ^ _128844) ^ [_439136] : [-(c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _439136, _439136)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _439136))], (6439 ^ _128844) ^ [_346339, _346341, _346343] : [class_Fields_Ofield__inverse__zero(_346339), -(c_Rings_Oinverse__class_Odivide(_346339, c_Groups_Oone__class_Oone(_346339), c_Power_Opower__class_Opower(_346339, _346341, _346343)) = c_Power_Opower__class_Opower(_346339, c_Rings_Oinverse__class_Odivide(_346339, c_Groups_Oone__class_Oone(_346339), _346341), _346343))], (8125 ^ _128844) ^ [_406270, _406272, _406274, _406276, _406278] : [class_Rings_Oordered__semiring(_406270), c_Orderings_Oord__class_Oless__eq(_406270, _406272, _406274), c_Orderings_Oord__class_Oless__eq(_406270, _406276, _406278), c_Orderings_Oord__class_Oless__eq(_406270, c_Groups_Ozero__class_Ozero(_406270), _406274), c_Orderings_Oord__class_Oless__eq(_406270, c_Groups_Ozero__class_Ozero(_406270), _406276), -(c_Orderings_Oord__class_Oless__eq(_406270, c_Groups_Otimes__class_Otimes(_406270, _406272, _406276), c_Groups_Otimes__class_Otimes(_406270, _406274, _406278)))], (5461 ^ _128844) ^ [_312480, _312482, _312484] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312480, _312482), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312484, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312482, _312480)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312484, _312482), _312480))], (5088 ^ _128844) ^ [_298319, _298321, _298323, _298325] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _298319, _298321), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _298323, _298325), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _298319, _298323), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _298321, _298325)))], (1397 ^ _128844) ^ [_174776, _174778] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_174776), c_Int_OBit1(_174778)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _174776, _174778)))], (3520 ^ _128844) ^ [_242899, _242901] : [3521 ^ _128844 : [(3524 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242901, _242899)], (3522 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242899, _242901)]], _242899 = _242901], (7803 ^ _128844) ^ [_396100, _396102] : [class_Fields_Ofield__inverse__zero(_396100), 7806 ^ _128844 : [(7813 ^ _128844) ^ [] : [_396102 = c_Groups_Oone__class_Oone(_396100), -(c_Rings_Oinverse__class_Oinverse(_396100, _396102) = c_Groups_Oone__class_Oone(_396100))], (7807 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Oinverse(_396100, _396102) = c_Groups_Oone__class_Oone(_396100), -(_396102 = c_Groups_Oone__class_Oone(_396100))]]], (3278 ^ _128844) ^ [_235225, _235227, _235229, _235231] : [class_Fields_Olinordered__field__inverse__zero(_235225), c_Orderings_Oord__class_Oless__eq(_235225, _235227, _235229), c_Orderings_Oord__class_Oless__eq(_235225, _235231, c_Groups_Ozero__class_Ozero(_235225)), -(c_Orderings_Oord__class_Oless__eq(_235225, c_Rings_Oinverse__class_Odivide(_235225, _235229, _235231), c_Rings_Oinverse__class_Odivide(_235225, _235227, _235231)))], (1197 ^ _128844) ^ [_168005, _168007] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_168005), c_Int_OBit0(_168007)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _168005, _168007))], (1491 ^ _128844) ^ [_178049, _178051, _178053] : [class_Groups_Oordered__ab__group__add(_178049), 1494 ^ _128844 : [(1501 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_178049, c_Groups_Ominus__class_Ominus(_178049, _178051, _178053), c_Groups_Ozero__class_Ozero(_178049)), -(c_Orderings_Oord__class_Oless(_178049, _178051, _178053))], (1495 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_178049, _178051, _178053), -(c_Orderings_Oord__class_Oless(_178049, c_Groups_Ominus__class_Ominus(_178049, _178051, _178053), c_Groups_Ozero__class_Ozero(_178049)))]]], (7485 ^ _128844) ^ [_384745, _384747, _384749] : [class_Rings_Odivision__ring__inverse__zero(_384745), 7488 ^ _128844 : [(7495 ^ _128844) ^ [] : [_384747 = _384749, -(c_Rings_Oinverse__class_Oinverse(_384745, _384747) = c_Rings_Oinverse__class_Oinverse(_384745, _384749))], (7489 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Oinverse(_384745, _384747) = c_Rings_Oinverse__class_Oinverse(_384745, _384749), -(_384747 = _384749)]]], (4322 ^ _128844) ^ [_271245, _271247, _271249, _271251, _271253] : [class_Groups_Oordered__ab__semigroup__add(_271245), c_Orderings_Oord__class_Oless__eq(_271245, _271247, _271249), c_Orderings_Oord__class_Oless__eq(_271245, _271251, _271253), -(c_Orderings_Oord__class_Oless__eq(_271245, c_Groups_Oplus__class_Oplus(_271245, _271247, _271251), c_Groups_Oplus__class_Oplus(_271245, _271249, _271253)))], (6295 ^ _128844) ^ [_341514, _341516] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _341514, _341516)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _341514)), -(_341516 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (12075 ^ _128844) ^ [] : [-(class_Orderings_Oorder(tc_RealDef_Oreal))], (6551 ^ _128844) ^ [_350124, _350126, _350128, _350130] : [class_Rings_Olinordered__semidom(_350124), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _350126, _350128), c_Orderings_Oord__class_Oless__eq(_350124, c_Groups_Oone__class_Oone(_350124), _350130), -(c_Orderings_Oord__class_Oless__eq(_350124, c_Power_Opower__class_Opower(_350124, _350130, _350126), c_Power_Opower__class_Opower(_350124, _350130, _350128)))], (940 ^ _128844) ^ [_158641, _158643] : [_158643 = _158641, -(v_s(_158643) = v_s(_158641))], (84 ^ _128844) ^ [_131511, _131513] : [-(class_Fields_Olinordered__field__inverse__zero(_131511)), _131513 = _131511, class_Fields_Olinordered__field__inverse__zero(_131513)], (9181 ^ _128844) ^ [_441916, _441918] : [class_Fields_Olinordered__field__inverse__zero(_441916), 9184 ^ _128844 : [(9193 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_441916, c_Groups_Oone__class_Oone(_441916), c_Rings_Oinverse__class_Oinverse(_441916, _441918))), c_Orderings_Oord__class_Oless(_441916, c_Groups_Ozero__class_Ozero(_441916), _441918), c_Orderings_Oord__class_Oless(_441916, _441918, c_Groups_Oone__class_Oone(_441916))], (9185 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_441916, c_Groups_Oone__class_Oone(_441916), c_Rings_Oinverse__class_Oinverse(_441916, _441918)), 9188 ^ _128844 : [(9191 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_441916, _441918, c_Groups_Oone__class_Oone(_441916)))], (9189 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_441916, c_Groups_Ozero__class_Ozero(_441916), _441918))]]]]], (3546 ^ _128844) ^ [_243830] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _243830, _243830) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3484 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))))], (6037 ^ _128844) ^ [_332999] : [class_Rings_Osemiring__1(_332999), -(c_Power_Opower__class_Opower(_332999, c_Groups_Oone__class_Oone(_332999), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_332999))], (3676 ^ _128844) ^ [_248319, _248321, _248323] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _248319, _248321), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _248323, _248319), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248319, _248323), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248321, _248323)))], (9015 ^ _128844) ^ [_436253, _436255, _436257, _436259] : [class_Groups_Omonoid__mult(_436253), -(c_Power_Opower__class_Opower(_436253, _436255, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _436257, _436259)) = c_Groups_Otimes__class_Otimes(_436253, c_Power_Opower__class_Opower(_436253, _436255, _436257), c_Power_Opower__class_Opower(_436253, _436255, _436259)))], (6277 ^ _128844) ^ [_340923, _340925] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _340923, _340925)), -(_340925 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _340923))], (1297 ^ _128844) ^ [_171396, _171398] : [class_Groups_Ogroup__add(_171396), -(c_Groups_Ominus__class_Ominus(_171396, _171398, c_Groups_Ozero__class_Ozero(_171396)) = _171398)], (11095 ^ _128844) ^ [_505179, _505181, _505183] : [class_Power_Opower(_505179), 11098 ^ _128844 : [(11105 ^ _128844) ^ [] : [-(_505181 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Power_Opower__class_Opower(_505179, _505183, _505181) = c_Groups_Otimes__class_Otimes(_505179, _505183, c_Power_Opower__class_Opower(_505179, _505183, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _505181, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))], (11099 ^ _128844) ^ [] : [_505181 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Power_Opower__class_Opower(_505179, _505183, _505181) = c_Groups_Oone__class_Oone(_505179))]]], (5216 ^ _128844) ^ [_303406, _303408, _303410] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303408, _303410), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303406, _303408), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303406, _303410)))], (4758 ^ _128844) ^ [_286107, _286109, _286111] : [class_Groups_Oordered__ab__group__add__abs(_286107), -(c_Orderings_Oord__class_Oless__eq(_286107, c_Groups_Oabs__class_Oabs(_286107, c_Groups_Oplus__class_Oplus(_286107, _286109, _286111)), c_Groups_Oplus__class_Oplus(_286107, c_Groups_Oabs__class_Oabs(_286107, _286109), c_Groups_Oabs__class_Oabs(_286107, _286111))))], (5425 ^ _128844) ^ [_311017, _311019, _311021] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311017, _311021), _311019), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _311017, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _311019, _311021)))], (3190 ^ _128844) ^ [_232407, _232409, _232411] : [class_Fields_Olinordered__field__inverse__zero(_232407), -(c_Groups_Oabs__class_Oabs(_232407, c_Rings_Oinverse__class_Odivide(_232407, _232409, _232411)) = c_Rings_Oinverse__class_Odivide(_232407, c_Groups_Oabs__class_Oabs(_232407, _232409), c_Groups_Oabs__class_Oabs(_232407, _232411)))], (194 ^ _128844) ^ [_134756, _134758] : [-(class_Groups_Oordered__ab__group__add(_134756)), _134758 = _134756, class_Groups_Oordered__ab__group__add(_134758)], (584 ^ _128844) ^ [_146261, _146263] : [-(class_Rings_Osemiring__0(_146261)), _146263 = _146261, class_Rings_Osemiring__0(_146263)], (8211 ^ _128844) ^ [_409072, _409074, _409076, _409078] : [class_Rings_Oordered__semiring(_409072), c_Orderings_Oord__class_Oless__eq(_409072, _409074, _409076), c_Orderings_Oord__class_Oless__eq(_409072, c_Groups_Ozero__class_Ozero(_409072), _409078), -(c_Orderings_Oord__class_Oless__eq(_409072, c_Groups_Otimes__class_Otimes(_409072, _409078, _409074), c_Groups_Otimes__class_Otimes(_409072, _409078, _409076)))], (3132 ^ _128844) ^ [_230531] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_230531), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _230531, c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (12033 ^ _128844) ^ [] : [-(class_Rings_Oordered__semiring(tc_RealDef_Oreal))], (5699 ^ _128844) ^ [_321117, _321119] : [class_Int_Onumber__ring(_321117), class_Rings_Olinordered__idom(_321117), 5706 ^ _128844 : [(5713 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _321119), -(c_Orderings_Oord__class_Oless(_321117, c_Groups_Oone__class_Oone(_321117), c_Int_Onumber__class_Onumber__of(_321117, _321119)))], (5707 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_321117, c_Groups_Oone__class_Oone(_321117), c_Int_Onumber__class_Onumber__of(_321117, _321119)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _321119))]]], (2534 ^ _128844) ^ [_211040, _211042, _211044] : [class_Orderings_Olinorder(_211040), -(c_Orderings_Oord__class_Oless(_211040, _211042, _211044)), -(c_Orderings_Oord__class_Oless__eq(_211040, _211044, _211042))], (2008 ^ _128844) ^ [_194591, _194593, _194595, _194597] : [class_Orderings_Oord(_194591), c_Orderings_Oord__class_Oless(_194591, _194593, _194595), _194595 = _194597, -(c_Orderings_Oord__class_Oless(_194591, _194593, _194597))], (4154 ^ _128844) ^ [_265038, _265040, _265042, _265044] : [class_Groups_Ocancel__semigroup__add(_265038), c_Groups_Oplus__class_Oplus(_265038, _265040, _265042) = c_Groups_Oplus__class_Oplus(_265038, _265040, _265044), -(_265042 = _265044)], (1409 ^ _128844) ^ [_175276] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _175276, c_Int_OPls), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_175276), c_Int_OPls))], (3882 ^ _128844) ^ [_255204, _255206] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _255204, _255206), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _255204, _255206) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3810 ^ _128844) ^ [_252774, _252776] : [3811 ^ _128844 : [(3814 ^ _128844) ^ [] : [_252774 = _252776], (3812 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _252774, _252776)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _252774, _252776))], (3130 ^ _128844) ^ [] : [-(c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls))], (5633 ^ _128844) ^ [_318881, _318883] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _318881), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _318881, _318883)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _318883))))], (12143 ^ _128844) ^ [] : [-(class_Groups_Oab__group__add(tc_Complex_Ocomplex))], (4746 ^ _128844) ^ [_285649, _285651] : [class_Int_Onumber__ring(_285649), -(c_Groups_Oplus__class_Oplus(_285649, c_Int_Onumber__class_Onumber__of(_285649, c_Int_OPls), _285651) = _285651)], (10847 ^ _128844) ^ [_497171, _497173, _497175, _497177] : [class_Fields_Olinordered__field__inverse__zero(_497171), class_Int_Onumber(_497171), 10854 ^ _128844 : [(10855 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_497171, _497173, c_Rings_Oinverse__class_Odivide(_497171, _497175, c_Int_Onumber__class_Onumber__of(_497171, _497177))), 10858 ^ _128844 : [(10865 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_497171, c_Groups_Ozero__class_Ozero(_497171), c_Int_Onumber__class_Onumber__of(_497171, _497177))), 10868 ^ _128844 : [(10875 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_497171, c_Int_Onumber__class_Onumber__of(_497171, _497177), c_Groups_Ozero__class_Ozero(_497171))), -(c_Orderings_Oord__class_Oless__eq(_497171, _497173, c_Groups_Ozero__class_Ozero(_497171)))], (10869 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_497171, c_Int_Onumber__class_Onumber__of(_497171, _497177), c_Groups_Ozero__class_Ozero(_497171)), -(c_Orderings_Oord__class_Oless__eq(_497171, _497175, c_Groups_Otimes__class_Otimes(_497171, _497173, c_Int_Onumber__class_Onumber__of(_497171, _497177))))]]], (10859 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_497171, c_Groups_Ozero__class_Ozero(_497171), c_Int_Onumber__class_Onumber__of(_497171, _497177)), -(c_Orderings_Oord__class_Oless__eq(_497171, c_Groups_Otimes__class_Otimes(_497171, _497173, c_Int_Onumber__class_Onumber__of(_497171, _497177)), _497175))]]], (10881 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_497171, _497173, c_Rings_Oinverse__class_Odivide(_497171, _497175, c_Int_Onumber__class_Onumber__of(_497171, _497177)))), 10884 ^ _128844 : [(10887 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_497171, c_Groups_Otimes__class_Otimes(_497171, _497173, c_Int_Onumber__class_Onumber__of(_497171, _497177)), _497175)], (10885 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_497171, c_Groups_Ozero__class_Ozero(_497171), c_Int_Onumber__class_Onumber__of(_497171, _497177)))]], 10888 ^ _128844 : [(10891 ^ _128844) ^ [] : [10892 ^ _128844 : [(10895 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_497171, _497175, c_Groups_Otimes__class_Otimes(_497171, _497173, c_Int_Onumber__class_Onumber__of(_497171, _497177)))], (10893 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_497171, c_Int_Onumber__class_Onumber__of(_497171, _497177), c_Groups_Ozero__class_Ozero(_497171)))]], 10896 ^ _128844 : [(10899 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_497171, _497173, c_Groups_Ozero__class_Ozero(_497171))], (10897 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_497171, c_Int_Onumber__class_Onumber__of(_497171, _497177), c_Groups_Ozero__class_Ozero(_497171))]]], (10889 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_497171, c_Groups_Ozero__class_Ozero(_497171), c_Int_Onumber__class_Onumber__of(_497171, _497177))]]]]], (8933 ^ _128844) ^ [_433515, _433517, _433519, _433521] : [class_Rings_Odivision__ring(_433515), -(_433517 = c_Groups_Ozero__class_Ozero(_433515)), c_Groups_Otimes__class_Otimes(_433515, _433519, _433517) = _433521, -(_433519 = c_Rings_Oinverse__class_Odivide(_433515, _433521, _433517))], (3988 ^ _128844) ^ [_258784, _258786] : [class_RealVector_Oreal__normed__vector(_258784), 3991 ^ _128844 : [(3998 ^ _128844) ^ [] : [_258786 = c_Groups_Ozero__class_Ozero(_258784), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_258784, _258786), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (3992 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_258784, _258786), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(_258786 = c_Groups_Ozero__class_Ozero(_258784))]]], (11663 ^ _128844) ^ [_526579, _526581, _526583] : [class_Groups_Ogroup__add(_526579), 11666 ^ _128844 : [(11673 ^ _128844) ^ [] : [_526581 = _526583, -(c_Groups_Ouminus__class_Ouminus(_526579, _526581) = c_Groups_Ouminus__class_Ouminus(_526579, _526583))], (11667 ^ _128844) ^ [] : [c_Groups_Ouminus__class_Ouminus(_526579, _526581) = c_Groups_Ouminus__class_Ouminus(_526579, _526583), -(_526581 = _526583)]]], (1367 ^ _128844) ^ [_173713, _173715] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _173713, _173715), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_173713), c_Int_OBit0(_173715)))], (3476 ^ _128844) ^ [_241417] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _241417)), 3479 ^ _128844 : [(3482 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_241417))))], (3480 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_241417))))]]], (4792 ^ _128844) ^ [_287265, _287267, _287269, _287271] : [class_Groups_Oordered__comm__monoid__add(_287265), c_Orderings_Oord__class_Oless__eq(_287265, c_Groups_Ozero__class_Ozero(_287265), _287267), c_Orderings_Oord__class_Oless(_287265, _287269, _287271), -(c_Orderings_Oord__class_Oless(_287265, _287269, c_Groups_Oplus__class_Oplus(_287265, _287267, _287271)))], (11971 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal))], (6313 ^ _128844) ^ [_342104, _342106, _342108, _342110] : [class_Fields_Ofield__inverse__zero(_342104), -(c_Power_Opower__class_Opower(_342104, c_Rings_Oinverse__class_Odivide(_342104, _342106, _342108), _342110) = c_Rings_Oinverse__class_Odivide(_342104, c_Power_Opower__class_Opower(_342104, _342106, _342110), c_Power_Opower__class_Opower(_342104, _342108, _342110)))], (9513 ^ _128844) ^ [_452648, _452650, _452652] : [class_Rings_Olinordered__ring(_452648), c_Orderings_Oord__class_Oless(_452648, c_Groups_Oplus__class_Oplus(_452648, c_Groups_Otimes__class_Otimes(_452648, _452650, _452650), c_Groups_Otimes__class_Otimes(_452648, _452652, _452652)), c_Groups_Ozero__class_Ozero(_452648))], (6831 ^ _128844) ^ [_359176, _359178] : [_359176 = _359178, -(c_NthRoot_Osqrt(_359176) = c_NthRoot_Osqrt(_359178))], (11933 ^ _128844) ^ [] : [-(class_Orderings_Opreorder(tc_Nat_Onat))], (5964 ^ _128844) ^ [_330488, _330490] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _330488, _330490), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _330488, c_Groups_Oone__class_Oone(tc_Int_Oint)), _330490))], (11963 ^ _128844) ^ [] : [-(class_Orderings_Oorder(tc_HOL_Obool))], (11253 ^ _128844) ^ [_511477] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OPls, _511477) = c_Int_OPls)], (8049 ^ _128844) ^ [_403732, _403734, _403736] : [class_Rings_Odivision__ring(_403732), -(_403734 = c_Groups_Ozero__class_Ozero(_403732)), -(c_Rings_Oinverse__class_Oinverse(_403732, c_Power_Opower__class_Opower(_403732, _403734, _403736)) = c_Power_Opower__class_Opower(_403732, c_Rings_Oinverse__class_Oinverse(_403732, _403734), _403736))], (11785 ^ _128844) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint))], (3080 ^ _128844) ^ [_228855] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228855, c_Int_OPls), -(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _228855) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (7439 ^ _128844) ^ [_383118, _383120] : [class_RealVector_Oreal__normed__div__algebra(_383118), -(_383120 = c_Groups_Ozero__class_Ozero(_383118)), -(c_RealVector_Onorm__class_Onorm(_383118, c_Rings_Oinverse__class_Oinverse(_383118, _383120)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_383118, _383120)))], (2050 ^ _128844) ^ [_195915, _195917, _195919] : [class_Orderings_Oorder(_195915), c_Orderings_Oord__class_Oless(_195915, _195917, _195919), c_Orderings_Oord__class_Oless(_195915, _195919, _195917)], (5804 ^ _128844) ^ [_324720, _324722, _324724] : [class_Rings_Olinordered__idom(_324720), -(c_Orderings_Oord__class_Oless__eq(_324720, c_Groups_Ozero__class_Ozero(_324720), c_Groups_Oplus__class_Oplus(_324720, c_Power_Opower__class_Opower(_324720, _324722, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_324720, _324724, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))], (8343 ^ _128844) ^ [_413231, _413233, _413235] : [class_Rings_Olinordered__ring__strict(_413231), 8346 ^ _128844 : [(8361 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), c_Groups_Otimes__class_Otimes(_413231, _413233, _413235))), 8362 ^ _128844 : [(8369 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_413231, _413233, c_Groups_Ozero__class_Ozero(_413231)), c_Orderings_Oord__class_Oless__eq(_413231, _413235, c_Groups_Ozero__class_Ozero(_413231))], (8363 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), _413233), c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), _413235)]]], (8347 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), c_Groups_Otimes__class_Otimes(_413231, _413233, _413235)), 8352 ^ _128844 : [(8355 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), _413235))], (8353 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_413231, c_Groups_Ozero__class_Ozero(_413231), _413233))]], 8356 ^ _128844 : [(8359 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_413231, _413235, c_Groups_Ozero__class_Ozero(_413231)))], (8357 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_413231, _413233, c_Groups_Ozero__class_Ozero(_413231)))]]]]], (6565 ^ _128844) ^ [_350578, _350580, _350582] : [class_Power_Opower(_350578), class_Rings_Omult__zero(_350578), class_Rings_Ono__zero__divisors(_350578), class_Rings_Ozero__neq__one(_350578), 6580 ^ _128844 : [(6589 ^ _128844) ^ [] : [-(c_Power_Opower__class_Opower(_350578, _350580, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _350582)) = c_Groups_Ozero__class_Ozero(_350578)), _350580 = c_Groups_Ozero__class_Ozero(_350578), -(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _350582) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (6581 ^ _128844) ^ [] : [c_Power_Opower__class_Opower(_350578, _350580, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _350582)) = c_Groups_Ozero__class_Ozero(_350578), 6584 ^ _128844 : [(6587 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _350582) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (6585 ^ _128844) ^ [] : [-(_350580 = c_Groups_Ozero__class_Ozero(_350578))]]]]], (3582 ^ _128844) ^ [_245067, _245069] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245067, _245069), _245067 = _245069], (5182 ^ _128844) ^ [_302100, _302102, _302104, _302106] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302100, _302102), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302104, _302106), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302100, _302104), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302102, _302106)))], (6817 ^ _128844) ^ [_358645, _358647] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _358645, _358647), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_358645), c_NthRoot_Osqrt(_358647)))], (11817 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring(tc_Int_Oint))], (3736 ^ _128844) ^ [_250257, _250259, _250261] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _250257, _250259), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _250257, _250261), 3743 ^ _128844 : [(3750 ^ _128844) ^ [] : [_250259 = _250261, -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250259, _250257) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250261, _250257))], (3744 ^ _128844) ^ [] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250259, _250257) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250261, _250257), -(_250259 = _250261)]]], (7337 ^ _128844) ^ [_378684, _378686, _378688, _378690] : [class_Rings_Ocomm__semiring(_378684), -(c_Groups_Otimes__class_Otimes(_378684, c_Groups_Oplus__class_Oplus(_378684, _378686, _378688), _378690) = c_Groups_Oplus__class_Oplus(_378684, c_Groups_Otimes__class_Otimes(_378684, _378686, _378690), c_Groups_Otimes__class_Otimes(_378684, _378688, _378690)))], (12013 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal))], (6433 ^ _128844) ^ [_346105, _346107] : [class_Power_Opower(_346105), -(c_Power_Opower__class_Opower(_346105, _346107, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_346105))], (4486 ^ _128844) ^ [_277085, _277087, _277089, _277091] : [class_RealVector_Oreal__normed__field(_277085), -(c_Rings_Oinverse__class_Odivide(_277085, c_Groups_Oplus__class_Oplus(_277085, _277087, _277089), _277091) = c_Groups_Oplus__class_Oplus(_277085, c_Rings_Oinverse__class_Odivide(_277085, _277087, _277091), c_Rings_Oinverse__class_Odivide(_277085, _277089, _277091)))], (5222 ^ _128844) ^ [_303673, _303675] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303673, _303675), -(_303675 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303673, 5225 ^ [_303673, _303675]))], (10051 ^ _128844) ^ [_471083, _471085, _471087, _471089] : [class_Fields_Ofield__inverse__zero(_471083), class_Int_Onumber(_471083), 10058 ^ _128844 : [(10059 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_471083, _471085, _471087) = c_Int_Onumber__class_Onumber__of(_471083, _471089), 10062 ^ _128844 : [(10069 ^ _128844) ^ [] : [_471087 = c_Groups_Ozero__class_Ozero(_471083), -(c_Int_Onumber__class_Onumber__of(_471083, _471089) = c_Groups_Ozero__class_Ozero(_471083))], (10063 ^ _128844) ^ [] : [-(_471087 = c_Groups_Ozero__class_Ozero(_471083)), -(_471085 = c_Groups_Otimes__class_Otimes(_471083, c_Int_Onumber__class_Onumber__of(_471083, _471089), _471087))]]], (10075 ^ _128844) ^ [] : [-(c_Rings_Oinverse__class_Odivide(_471083, _471085, _471087) = c_Int_Onumber__class_Onumber__of(_471083, _471089)), 10078 ^ _128844 : [(10081 ^ _128844) ^ [] : [_471085 = c_Groups_Otimes__class_Otimes(_471083, c_Int_Onumber__class_Onumber__of(_471083, _471089), _471087)], (10079 ^ _128844) ^ [] : [_471087 = c_Groups_Ozero__class_Ozero(_471083)]], 10082 ^ _128844 : [(10085 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_471083, _471089) = c_Groups_Ozero__class_Ozero(_471083)], (10083 ^ _128844) ^ [] : [-(_471087 = c_Groups_Ozero__class_Ozero(_471083))]]]]], (5431 ^ _128844) ^ [_311269, _311271, _311273] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _311269, _311271), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _311273, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _311271, _311269)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311273, _311269), _311271))], (3862 ^ _128844) ^ [_254487, _254489] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254487, _254489)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254489, _254487))], (5070 ^ _128844) ^ [_297559, _297561] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_297559), c_Int_OBit0(_297561)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _297559, _297561)))], (714 ^ _128844) ^ [_150096, _150098] : [-(class_Groups_Oone(_150096)), _150098 = _150096, class_Groups_Oone(_150098)], (4312 ^ _128844) ^ [_270866, _270868, _270870, _270872] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_270866), c_Orderings_Oord__class_Oless__eq(_270866, c_Groups_Oplus__class_Oplus(_270866, _270868, _270870), c_Groups_Oplus__class_Oplus(_270866, _270872, _270870)), -(c_Orderings_Oord__class_Oless__eq(_270866, _270868, _270872))], (6901 ^ _128844) ^ [_361433] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _361433), c_NthRoot_Osqrt(_361433) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)], (7819 ^ _128844) ^ [_396579, _396581] : [class_Fields_Ofield(_396579), -(_396581 = c_Groups_Ozero__class_Ozero(_396579)), -(c_Groups_Otimes__class_Otimes(_396579, c_Rings_Oinverse__class_Oinverse(_396579, _396581), _396581) = c_Groups_Oone__class_Oone(_396579))], (7619 ^ _128844) ^ [_389709, _389711, _389713] : [class_Rings_Ono__zero__divisors(_389709), c_Groups_Otimes__class_Otimes(_389709, _389711, _389713) = c_Groups_Ozero__class_Ozero(_389709), -(_389711 = c_Groups_Ozero__class_Ozero(_389709)), -(_389713 = c_Groups_Ozero__class_Ozero(_389709))], (12125 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex))], (2636 ^ _128844) ^ [_214171, _214173, _214175] : [class_Orderings_Olinorder(_214171), 2639 ^ _128844 : [(2646 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_214171, _214175, _214173), c_Orderings_Oord__class_Oless(_214171, _214173, _214175)], (2640 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_214171, _214173, _214175)), -(c_Orderings_Oord__class_Oless__eq(_214171, _214175, _214173))]]], (7765 ^ _128844) ^ [_394611] : [-(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _394611) = _394611)], (2168 ^ _128844) ^ [_199626, _199628, _199630] : [class_Orderings_Olinorder(_199626), 2171 ^ _128844 : [(2172 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_199626, _199628, _199630)), -(c_Orderings_Oord__class_Oless(_199626, _199630, _199628)), -(_199628 = _199630)], (2182 ^ _128844) ^ [] : [2183 ^ _128844 : [(2186 ^ _128844) ^ [] : [_199628 = _199630], (2184 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_199626, _199630, _199628)]], c_Orderings_Oord__class_Oless(_199626, _199628, _199630)]]], (1956 ^ _128844) ^ [_192909, _192911, _192913] : [class_Orderings_Opreorder(_192909), c_Orderings_Oord__class_Oless(_192909, _192911, _192913), c_Orderings_Oord__class_Oless(_192909, _192913, _192911)], (760 ^ _128844) ^ [_152131, _152133, _152135, _152137, _152139, _152141, _152143, _152145, _152147, _152149] : [-(c_Fun_Ocomp(_152149, _152145, _152141, _152137, _152133) = c_Fun_Ocomp(_152147, _152143, _152139, _152135, _152131)), _152149 = _152147, _152145 = _152143, _152141 = _152139, _152137 = _152135, _152133 = _152131], (11391 ^ _128844) ^ [_517442] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _517442, c_Groups_Oone__class_Oone(tc_Int_Oint)) = _517442)], (4252 ^ _128844) ^ [_268849, _268851] : [class_Groups_Ocomm__monoid__add(_268849), -(c_Groups_Oplus__class_Oplus(_268849, c_Groups_Ozero__class_Ozero(_268849), _268851) = _268851)], (12067 ^ _128844) ^ [] : [-(class_Rings_Osemiring__1(tc_RealDef_Oreal))], (7343 ^ _128844) ^ [_378972, _378974, _378976, _378978] : [class_RealVector_Oreal__normed__algebra(_378972), -(c_Groups_Otimes__class_Otimes(_378972, _378974, c_Groups_Oplus__class_Oplus(_378972, _378976, _378978)) = c_Groups_Oplus__class_Oplus(_378972, c_Groups_Otimes__class_Otimes(_378972, _378974, _378976), c_Groups_Otimes__class_Otimes(_378972, _378974, _378978)))], (11187 ^ _128844) ^ [_509022, _509024, _509026] : [-(c_Power_Opower__class_Opower(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _509022, _509024), _509026) = c_Power_Opower__class_Opower(tc_Int_Oint, _509022, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509024, _509026)))], (2762 ^ _128844) ^ [_218381] : [c_Int_OBit0(_218381) = c_Int_OPls, -(_218381 = c_Int_OPls)], (9421 ^ _128844) ^ [_449578, _449580, _449582, _449584] : [class_Rings_Olinordered__semiring__strict(_449578), c_Orderings_Oord__class_Oless(_449578, c_Groups_Otimes__class_Otimes(_449578, _449580, _449582), c_Groups_Otimes__class_Otimes(_449578, _449580, _449584)), c_Orderings_Oord__class_Oless__eq(_449578, c_Groups_Ozero__class_Ozero(_449578), _449580), -(c_Orderings_Oord__class_Oless(_449578, _449582, _449584))], (7373 ^ _128844) ^ [_380412, _380414, _380416, _380418] : [class_RealVector_Oreal__normed__algebra(_380412), -(c_Groups_Otimes__class_Otimes(_380412, _380414, c_Groups_Ominus__class_Ominus(_380412, _380416, _380418)) = c_Groups_Ominus__class_Ominus(_380412, c_Groups_Otimes__class_Otimes(_380412, _380414, _380416), c_Groups_Otimes__class_Otimes(_380412, _380414, _380418)))], (5038 ^ _128844) ^ [_296444, _296446] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _296444, _296446) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), 5041 ^ _128844 : [(5044 ^ _128844) ^ [] : [-(_296446 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5042 ^ _128844) ^ [] : [-(_296444 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))]]], (174 ^ _128844) ^ [_134166, _134168] : [-(class_Rings_Oordered__comm__semiring(_134166)), _134168 = _134166, class_Rings_Oordered__comm__semiring(_134168)], (4848 ^ _128844) ^ [_289037, _289039] : [class_Int_Onumber__ring(_289037), -(c_Int_Onumber__class_Onumber__of(_289037, c_Int_OBit0(_289039)) = c_Groups_Oplus__class_Oplus(_289037, c_Groups_Oplus__class_Oplus(_289037, c_Groups_Ozero__class_Ozero(_289037), c_Int_Onumber__class_Onumber__of(_289037, _289039)), c_Int_Onumber__class_Onumber__of(_289037, _289039)))], (11859 ^ _128844) ^ [] : [-(class_Rings_Osemiring__0(tc_Int_Oint))], (6779 ^ _128844) ^ [_357384, _357386] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_357384), c_NthRoot_Osqrt(_357386)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _357384, _357386))], (20 ^ _128844) ^ [_129592, _129594] : [-(c_SEQ_Osubseq(_129592)), _129594 = _129592, c_SEQ_Osubseq(_129594)], (294 ^ _128844) ^ [_137706, _137708] : [-(class_Orderings_Olinorder(_137706)), _137708 = _137706, class_Orderings_Olinorder(_137708)], (3462 ^ _128844) ^ [_240964, _240966] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _240964, _240966))), 3465 ^ _128844 : [(3468 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _240966)], (3466 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240964, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))]], 3469 ^ _128844 : [(3472 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240966, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (3470 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _240964)]]], (4030 ^ _128844) ^ [_260349, _260351, _260353] : [class_RealVector_Oreal__normed__vector(_260349), -(c_RealVector_Onorm__class_Onorm(_260349, c_Groups_Ominus__class_Ominus(_260349, _260351, _260353)) = c_RealVector_Onorm__class_Onorm(_260349, c_Groups_Ominus__class_Ominus(_260349, _260353, _260351)))], (5810 ^ _128844) ^ [_325007, _325009, _325011] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325007, _325009) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325011, _325009), -(_325007 = _325011)], (3110 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5970 ^ _128844) ^ [_330741, _330743] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _330741, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _330743, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _330741, _330743))], (7143 ^ _128844) ^ [_370502, _370504] : [class_Rings_Ocomm__semiring__1(_370502), -(c_Groups_Otimes__class_Otimes(_370502, _370504, c_Groups_Oone__class_Oone(_370502)) = _370504)], (11835 ^ _128844) ^ [] : [-(class_Rings_Olinordered__ring(tc_Int_Oint))], (3498 ^ _128844) ^ [_242241] : [-(_242241 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _242241))], (8047 ^ _128844) ^ [] : [c_Complex_Oii = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)], (1041 ^ _128844) ^ [_162336] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _162336), 1045 ^ _128844 : [(1046 ^ _128844) ^ [_162566] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1044 ^ [_162336], _162566), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(v_s(hAPP(v_f____, hAPP(v_ga____, _162566)))), v_y____)), _162336))]]], (11601 ^ _128844) ^ [_524281, _524283, _524285] : [class_Groups_Oordered__ab__group__add(_524281), 11604 ^ _128844 : [(11611 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_524281, c_Groups_Ouminus__class_Ouminus(_524281, _524285), _524283), -(c_Orderings_Oord__class_Oless(_524281, c_Groups_Ouminus__class_Ouminus(_524281, _524283), _524285))], (11605 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_524281, c_Groups_Ouminus__class_Ouminus(_524281, _524283), _524285), -(c_Orderings_Oord__class_Oless(_524281, c_Groups_Ouminus__class_Ouminus(_524281, _524285), _524283))]]], (7197 ^ _128844) ^ [_372866, _372868, _372870, _372872] : [class_Rings_Ocomm__semiring__1(_372866), -(c_Groups_Otimes__class_Otimes(_372866, c_Groups_Otimes__class_Otimes(_372866, _372868, _372870), _372872) = c_Groups_Otimes__class_Otimes(_372866, _372868, c_Groups_Otimes__class_Otimes(_372866, _372870, _372872)))], (1177 ^ _128844) ^ [_167273, _167275] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _167273, _167275), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_167273), c_Int_OBit1(_167275)))], (5305 ^ _128844) ^ [_306909] : [class_Rings_Olinordered__semidom(_306909), -(c_Orderings_Oord__class_Oless(_306909, c_Groups_Ozero__class_Ozero(_306909), c_Groups_Oone__class_Oone(_306909)))], (4144 ^ _128844) ^ [_264677, _264679, _264681, _264683] : [class_Groups_Ocancel__ab__semigroup__add(_264677), c_Groups_Oplus__class_Oplus(_264677, _264679, _264681) = c_Groups_Oplus__class_Oplus(_264677, _264679, _264683), -(_264681 = _264683)], (5982 ^ _128844) ^ [_331168, _331170] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _331168, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _331170, c_Groups_Oone__class_Oone(tc_Int_Oint))), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _331168, _331170))], (10161 ^ _128844) ^ [_474844, _474846, _474848, _474850, _474852, _474854] : [class_RealVector_Oreal__field(_474844), -(c_Rings_Oinverse__class_Odivide(_474844, c_Groups_Ominus__class_Ominus(_474844, c_Groups_Otimes__class_Otimes(_474844, _474846, _474848), c_Groups_Otimes__class_Otimes(_474844, _474850, _474852)), _474854) = c_Groups_Oplus__class_Oplus(_474844, c_Groups_Otimes__class_Otimes(_474844, _474846, c_Rings_Oinverse__class_Odivide(_474844, c_Groups_Ominus__class_Ominus(_474844, _474848, _474852), _474854)), c_Groups_Otimes__class_Otimes(_474844, c_Rings_Oinverse__class_Odivide(_474844, c_Groups_Ominus__class_Ominus(_474844, _474846, _474850), _474854), _474852)))], (274 ^ _128844) ^ [_137116, _137118] : [-(class_Rings_Oordered__ring(_137116)), _137118 = _137116, class_Rings_Oordered__ring(_137118)], (6287 ^ _128844) ^ [_341187, _341189] : [6288 ^ _128844 : [(6291 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _341187)], (6289 ^ _128844) ^ [] : [_341189 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _341187, _341189)))], (124 ^ _128844) ^ [_132691, _132693] : [-(class_Groups_Oordered__ab__group__add__abs(_132691)), _132693 = _132691, class_Groups_Oordered__ab__group__add__abs(_132693)], (1451 ^ _128844) ^ [_176752] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_176752)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _176752))], (3888 ^ _128844) ^ [_255439] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _255439, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(_255439 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (7663 ^ _128844) ^ [_391262] : [class_Rings_Odivision__ring__inverse__zero(_391262), -(c_Rings_Oinverse__class_Oinverse(_391262, c_Groups_Ozero__class_Ozero(_391262)) = c_Groups_Ozero__class_Ozero(_391262))], (5846 ^ _128844) ^ [_326512, _326514, _326516] : [class_RealVector_Oreal__normed__div__algebra(_326512), -(c_RealVector_Onorm__class_Onorm(_326512, c_Power_Opower__class_Opower(_326512, _326514, _326516)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_326512, _326514), _326516))], (8169 ^ _128844) ^ [_407668, _407670, _407672, _407674] : [class_Rings_Oordered__ring(_407668), c_Orderings_Oord__class_Oless__eq(_407668, _407670, _407672), c_Orderings_Oord__class_Oless__eq(_407668, _407674, c_Groups_Ozero__class_Ozero(_407668)), -(c_Orderings_Oord__class_Oless__eq(_407668, c_Groups_Otimes__class_Otimes(_407668, _407674, _407672), c_Groups_Otimes__class_Otimes(_407668, _407674, _407670)))], (5267 ^ _128844) ^ [_305600, _305602, _305604] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305600, _305602), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305604, _305602)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _305600, _305604))], (7227 ^ _128844) ^ [_374331, _374333] : [-(c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _374331, _374333)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_NthRoot_Osqrt(_374331), c_NthRoot_Osqrt(_374333)))], (7543 ^ _128844) ^ [_386856, _386858, _386860] : [class_Int_Onumber__ring(_386856), -(c_Int_Onumber__class_Onumber__of(_386856, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _386858, _386860)) = c_Groups_Otimes__class_Otimes(_386856, c_Int_Onumber__class_Onumber__of(_386856, _386858), c_Int_Onumber__class_Onumber__of(_386856, _386860)))], (11163 ^ _128844) ^ [_507959] : [-(c_Complex_OIm(c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, _507959)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Complex_OIm(_507959)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_ORe(_507959), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_OIm(_507959), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))], (12049 ^ _128844) ^ [] : [-(class_Rings_Odivision__ring(tc_RealDef_Oreal))], (3900 ^ _128844) ^ [_255776] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _255776))], (6765 ^ _128844) ^ [_356817] : [_356817 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal), -(c_NthRoot_Osqrt(_356817) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (12089 ^ _128844) ^ [] : [-(class_Power_Opower(tc_RealDef_Oreal))], (11559 ^ _128844) ^ [_522920, _522922, _522924] : [class_Groups_Oordered__ab__group__add(_522920), 11562 ^ _128844 : [(11569 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_522920, _522924, _522922), -(c_Orderings_Oord__class_Oless__eq(_522920, c_Groups_Ouminus__class_Ouminus(_522920, _522922), c_Groups_Ouminus__class_Ouminus(_522920, _522924)))], (11563 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_522920, c_Groups_Ouminus__class_Ouminus(_522920, _522922), c_Groups_Ouminus__class_Ouminus(_522920, _522924)), -(c_Orderings_Oord__class_Oless__eq(_522920, _522924, _522922))]]], (1019 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (3126 ^ _128844) ^ [] : [-(c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (1883 ^ _128844) ^ [_190523, _190525, _190527] : [class_Orderings_Opreorder(_190523), _190525 = _190527, -(c_Orderings_Oord__class_Oless__eq(_190523, _190525, _190527))], (8005 ^ _128844) ^ [_402381, _402383] : [class_Fields_Olinordered__field(_402381), c_Orderings_Oord__class_Oless(_402381, c_Groups_Ozero__class_Ozero(_402381), _402383), -(c_Orderings_Oord__class_Oless(_402381, c_Groups_Ozero__class_Ozero(_402381), c_Rings_Oinverse__class_Oinverse(_402381, _402383)))], (1479 ^ _128844) ^ [_177657] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_177657)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _177657))], (11953 ^ _128844) ^ [] : [-(class_Power_Opower(tc_Nat_Onat))], (7839 ^ _128844) ^ [_397223, _397225] : [class_Rings_Odivision__ring(_397223), -(_397225 = c_Groups_Ozero__class_Ozero(_397223)), -(c_Groups_Otimes__class_Otimes(_397223, c_Rings_Oinverse__class_Oinverse(_397223, _397225), _397225) = c_Groups_Oone__class_Oone(_397223))], (8739 ^ _128844) ^ [_426215, _426217, _426219, _426221, _426223] : [class_RealVector_Oreal__normed__algebra(_426215), -(c_Groups_Ominus__class_Ominus(_426215, c_Groups_Otimes__class_Otimes(_426215, _426217, _426219), c_Groups_Otimes__class_Otimes(_426215, _426221, _426223)) = c_Groups_Oplus__class_Oplus(_426215, c_Groups_Oplus__class_Oplus(_426215, c_Groups_Otimes__class_Otimes(_426215, c_Groups_Ominus__class_Ominus(_426215, _426217, _426221), c_Groups_Ominus__class_Ominus(_426215, _426219, _426223)), c_Groups_Otimes__class_Otimes(_426215, c_Groups_Ominus__class_Ominus(_426215, _426217, _426221), _426223)), c_Groups_Otimes__class_Otimes(_426215, _426221, c_Groups_Ominus__class_Ominus(_426215, _426219, _426223))))], (12105 ^ _128844) ^ [] : [-(class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex))], (12181 ^ _128844) ^ [] : [12183 ^ _128844 : [(12186 ^ _128844) ^ [_541505] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(v_s(hAPP(v_f____, 12182 ^ [_541505]))), v_x____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (12184 ^ _128844) ^ [_541456] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _541456, 12182 ^ [_541456]))]], 12190 ^ _128844 : [(12193 ^ _128844) ^ [_541748] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(v_s(hAPP(v_f____, hAPP(v_ga____, 12189 ^ [_541748])))), v_y____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (12191 ^ _128844) ^ [_541699] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _541699, 12189 ^ [_541699]))]], -(v_thesis____)], (5353 ^ _128844) ^ [_308464, _308466] : [class_Rings_Odivision__ring__inverse__zero(_308464), 5356 ^ _128844 : [(5363 ^ _128844) ^ [] : [-(_308466 = c_Groups_Ozero__class_Ozero(_308464)), -(c_Rings_Oinverse__class_Odivide(_308464, _308466, _308466) = c_Groups_Oone__class_Oone(_308464))], (5357 ^ _128844) ^ [] : [_308466 = c_Groups_Ozero__class_Ozero(_308464), -(c_Rings_Oinverse__class_Odivide(_308464, _308466, _308466) = c_Groups_Ozero__class_Ozero(_308464))]]], (7715 ^ _128844) ^ [_392913, _392915, _392917] : [class_Rings_Odivision__ring(_392913), c_Rings_Oinverse__class_Oinverse(_392913, _392915) = c_Rings_Oinverse__class_Oinverse(_392913, _392917), -(_392915 = c_Groups_Ozero__class_Ozero(_392913)), -(_392917 = c_Groups_Ozero__class_Ozero(_392913)), -(_392915 = _392917)], (4806 ^ _128844) ^ [_287725, _287727, _287729, _287731] : [class_Groups_Oordered__comm__monoid__add(_287725), c_Orderings_Oord__class_Oless(_287725, c_Groups_Ozero__class_Ozero(_287725), _287727), c_Orderings_Oord__class_Oless__eq(_287725, _287729, _287731), -(c_Orderings_Oord__class_Oless(_287725, _287729, c_Groups_Oplus__class_Oplus(_287725, _287727, _287731)))], (8309 ^ _128844) ^ [_412194, _412196, _412198] : [class_Rings_Olinordered__ring__strict(_412194), 8312 ^ _128844 : [(8327 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Otimes__class_Otimes(_412194, _412196, _412198), c_Groups_Ozero__class_Ozero(_412194))), 8328 ^ _128844 : [(8335 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_412194, _412196, c_Groups_Ozero__class_Ozero(_412194)), c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Ozero__class_Ozero(_412194), _412198)], (8329 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Ozero__class_Ozero(_412194), _412196), c_Orderings_Oord__class_Oless__eq(_412194, _412198, c_Groups_Ozero__class_Ozero(_412194))]]], (8313 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Otimes__class_Otimes(_412194, _412196, _412198), c_Groups_Ozero__class_Ozero(_412194)), 8318 ^ _128844 : [(8321 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_412194, _412198, c_Groups_Ozero__class_Ozero(_412194)))], (8319 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Ozero__class_Ozero(_412194), _412196))]], 8322 ^ _128844 : [(8325 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_412194, c_Groups_Ozero__class_Ozero(_412194), _412198))], (8323 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_412194, _412196, c_Groups_Ozero__class_Ozero(_412194)))]]]]], (4998 ^ _128844) ^ [_294978, _294980, _294982] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _294978, _294980), _294982) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _294978, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _294980, _294982)))], (11917 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Nat_Onat))], (5517 ^ _128844) ^ [_314538, _314540, _314542] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _314538, _314540), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _314540, _314542), _314538) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _314540, _314538), _314542))], (12059 ^ _128844) ^ [] : [-(class_Orderings_Opreorder(tc_RealDef_Oreal))], (7185 ^ _128844) ^ [_372306, _372308, _372310, _372312] : [class_Rings_Ocomm__semiring__1(_372306), -(c_Groups_Otimes__class_Otimes(_372306, _372308, c_Groups_Otimes__class_Otimes(_372306, _372310, _372312)) = c_Groups_Otimes__class_Otimes(_372306, _372310, c_Groups_Otimes__class_Otimes(_372306, _372308, _372312)))], (11151 ^ _128844) ^ [_507257, _507259] : [-(c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _507257, _507259), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507257, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507259, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _507257), _507259)))], (2154 ^ _128844) ^ [_199206, _199208, _199210] : [class_Orderings_Olinorder(_199206), -(c_Orderings_Oord__class_Oless(_199206, _199208, _199210)), -(_199208 = _199210), -(c_Orderings_Oord__class_Oless(_199206, _199210, _199208))], (8267 ^ _128844) ^ [_410874, _410876, _410878] : [class_Rings_Oordered__cancel__semiring(_410874), c_Orderings_Oord__class_Oless__eq(_410874, c_Groups_Ozero__class_Ozero(_410874), _410876), c_Orderings_Oord__class_Oless__eq(_410874, _410878, c_Groups_Ozero__class_Ozero(_410874)), -(c_Orderings_Oord__class_Oless__eq(_410874, c_Groups_Otimes__class_Otimes(_410874, _410878, _410876), c_Groups_Ozero__class_Ozero(_410874)))], (11181 ^ _128844) ^ [_508771, _508773, _508775, _508777] : [class_Rings_Ocomm__semiring__1(_508771), -(c_Power_Opower__class_Opower(_508771, c_Power_Opower__class_Opower(_508771, _508773, _508775), _508777) = c_Power_Opower__class_Opower(_508771, _508773, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _508775, _508777)))], (3510 ^ _128844) ^ [_242640, _242642] : [-(_242640 = _242642), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242640, _242642)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242642, _242640))], (11995 ^ _128844) ^ [] : [-(class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal))], (4196 ^ _128844) ^ [_266483, _266485, _266487, _266489] : [class_Groups_Oab__semigroup__add(_266483), -(c_Groups_Oplus__class_Oplus(_266483, c_Groups_Oplus__class_Oplus(_266483, _266485, _266487), _266489) = c_Groups_Oplus__class_Oplus(_266483, _266485, c_Groups_Oplus__class_Oplus(_266483, _266487, _266489)))], (8481 ^ _128844) ^ [_417724, _417726, _417728, _417730] : [class_Rings_Olinordered__ring__strict(_417724), c_Orderings_Oord__class_Oless(_417724, _417726, c_Groups_Ozero__class_Ozero(_417724)), 8488 ^ _128844 : [(8495 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_417724, _417730, _417728), -(c_Orderings_Oord__class_Oless(_417724, c_Groups_Otimes__class_Otimes(_417724, _417726, _417728), c_Groups_Otimes__class_Otimes(_417724, _417726, _417730)))], (8489 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_417724, c_Groups_Otimes__class_Otimes(_417724, _417726, _417728), c_Groups_Otimes__class_Otimes(_417724, _417726, _417730)), -(c_Orderings_Oord__class_Oless(_417724, _417730, _417728))]]], (11989 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal))], (574 ^ _128844) ^ [_145966, _145968] : [-(class_Rings_Osemiring__1(_145966)), _145968 = _145966, class_Rings_Osemiring__1(_145968)], (324 ^ _128844) ^ [_138591, _138593] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_138591)), _138593 = _138591, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_138593)], (5882 ^ _128844) ^ [_327740] : [c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _327740), _327740) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)], (8281 ^ _128844) ^ [_411314, _411316, _411318] : [class_Rings_Oordered__cancel__semiring(_411314), c_Orderings_Oord__class_Oless__eq(_411314, c_Groups_Ozero__class_Ozero(_411314), _411316), c_Orderings_Oord__class_Oless__eq(_411314, _411318, c_Groups_Ozero__class_Ozero(_411314)), -(c_Orderings_Oord__class_Oless__eq(_411314, c_Groups_Otimes__class_Otimes(_411314, _411316, _411318), c_Groups_Ozero__class_Ozero(_411314)))], (6799 ^ _128844) ^ [_358010] : [_358010 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(c_NthRoot_Osqrt(_358010) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (2292 ^ _128844) ^ [_203531, _203533] : [_203531 = _203533, -(c_Int_OBit0(_203531) = c_Int_OBit0(_203533))], (5527 ^ _128844) ^ [_314990] : [class_Rings_Olinordered__semidom(_314990), -(c_Orderings_Oord__class_Oless(_314990, c_Groups_Ozero__class_Ozero(_314990), c_Groups_Oplus__class_Oplus(_314990, c_Groups_Oone__class_Oone(_314990), c_Groups_Oone__class_Oone(_314990))))], (9203 ^ _128844) ^ [_442568, _442570] : [class_Fields_Olinordered__field(_442568), c_Orderings_Oord__class_Oless(_442568, c_Groups_Ozero__class_Ozero(_442568), _442570), c_Orderings_Oord__class_Oless(_442568, _442570, c_Groups_Oone__class_Oone(_442568)), -(c_Orderings_Oord__class_Oless(_442568, c_Groups_Oone__class_Oone(_442568), c_Rings_Oinverse__class_Oinverse(_442568, _442570)))], (4524 ^ _128844) ^ [_278665, _278667] : [class_Groups_Olinordered__ab__group__add(_278665), 4527 ^ _128844 : [(4534 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_278665, c_Groups_Ozero__class_Ozero(_278665), _278667), -(c_Orderings_Oord__class_Oless__eq(_278665, c_Groups_Ozero__class_Ozero(_278665), c_Groups_Oplus__class_Oplus(_278665, _278667, _278667)))], (4528 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_278665, c_Groups_Ozero__class_Ozero(_278665), c_Groups_Oplus__class_Oplus(_278665, _278667, _278667)), -(c_Orderings_Oord__class_Oless__eq(_278665, c_Groups_Ozero__class_Ozero(_278665), _278667))]]], (384 ^ _128844) ^ [_140361, _140363] : [-(class_Rings_Oring__1__no__zero__divisors(_140361)), _140363 = _140361, class_Rings_Oring__1__no__zero__divisors(_140363)], (3548 ^ _128844) ^ [_243941, _243943] : [-(_243941 = _243943), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243941, _243943)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243943, _243941))], (1319 ^ _128844) ^ [_172081] : [class_Groups_Oordered__ab__group__add__abs(_172081), -(c_Groups_Oabs__class_Oabs(_172081, c_Groups_Ozero__class_Ozero(_172081)) = c_Groups_Ozero__class_Ozero(_172081))], (2524 ^ _128844) ^ [_210712, _210714, _210716] : [class_Orderings_Olinorder(_210712), -(c_Orderings_Oord__class_Oless__eq(_210712, _210714, _210716)), -(c_Orderings_Oord__class_Oless(_210712, _210716, _210714))], (11389 ^ _128844) ^ [] : [-(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (6497 ^ _128844) ^ [_348275, _348277, _348279] : [class_Rings_Olinordered__idom(_348275), -(c_Orderings_Oord__class_Oless__eq(_348275, c_Groups_Ozero__class_Ozero(_348275), c_Power_Opower__class_Opower(_348275, c_Groups_Oabs__class_Oabs(_348275, _348277), _348279)))], (7111 ^ _128844) ^ [_369351, _369353, _369355] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _369351), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _369353, c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _369355), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _369353, c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369351, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369355, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _369353))], (9249 ^ _128844) ^ [] : [-(c_Complex_OIm(c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (4854 ^ _128844) ^ [_289329, _289331, _289333, _289335, _289337] : [class_Groups_Oordered__ab__group__add__abs(_289329), -(c_Orderings_Oord__class_Oless__eq(_289329, c_Groups_Oabs__class_Oabs(_289329, c_Groups_Ominus__class_Ominus(_289329, c_Groups_Oplus__class_Oplus(_289329, _289331, _289333), c_Groups_Oplus__class_Oplus(_289329, _289335, _289337))), c_Groups_Oplus__class_Oplus(_289329, c_Groups_Oabs__class_Oabs(_289329, c_Groups_Ominus__class_Ominus(_289329, _289331, _289335)), c_Groups_Oabs__class_Oabs(_289329, c_Groups_Ominus__class_Ominus(_289329, _289333, _289337)))))], (12141 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Complex_Ocomplex))], (5543 ^ _128844) ^ [_315585, _315587, _315589] : [class_Fields_Olinordered__field(_315585), c_Orderings_Oord__class_Oless(_315585, _315587, _315589), -(c_Orderings_Oord__class_Oless(_315585, c_Rings_Oinverse__class_Odivide(_315585, c_Groups_Oplus__class_Oplus(_315585, _315587, _315589), c_Groups_Oplus__class_Oplus(_315585, c_Groups_Oone__class_Oone(_315585), c_Groups_Oone__class_Oone(_315585))), _315589))], (1839 ^ _128844) ^ [_189114, _189116, _189118, _189120] : [class_Orderings_Oord(_189114), _189116 = _189118, c_Orderings_Oord__class_Oless__eq(_189114, _189118, _189120), -(c_Orderings_Oord__class_Oless__eq(_189114, _189116, _189120))], (6791 ^ _128844) ^ [] : [-(c_NthRoot_Osqrt(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (54 ^ _128844) ^ [_130626, _130628] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(_130626)), _130628 = _130626, class_Groups_Oordered__cancel__ab__semigroup__add(_130628)], (184 ^ _128844) ^ [_134461, _134463] : [-(class_Rings_Olinordered__semiring__1(_134461)), _134463 = _134461, class_Rings_Olinordered__semiring__1(_134463)], (5924 ^ _128844) ^ [] : [-(c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)))], (3826 ^ _128844) ^ [_253335, _253337] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _253335, _253337)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253335, _253337), -(_253335 = _253337)], (4820 ^ _128844) ^ [_288171, _288173, _288175] : [class_Groups_Oordered__comm__monoid__add(_288171), c_Orderings_Oord__class_Oless__eq(_288171, c_Groups_Ozero__class_Ozero(_288171), _288173), c_Orderings_Oord__class_Oless(_288171, c_Groups_Ozero__class_Ozero(_288171), _288175), -(c_Orderings_Oord__class_Oless(_288171, c_Groups_Ozero__class_Ozero(_288171), c_Groups_Oplus__class_Oplus(_288171, _288173, _288175)))], (2366 ^ _128844) ^ [_205899, _205901, _205903, _205905] : [class_Orderings_Oorder(_205899), c_Orderings_Oord__class_Oless(_205899, _205901, _205903), c_Orderings_Oord__class_Oless__eq(_205899, _205905, _205901), -(c_Orderings_Oord__class_Oless(_205899, _205905, _205903))], (11895 ^ _128844) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat))], (1783 ^ _128844) ^ [_187344, _187346, _187348] : [class_Orderings_Oorder(_187344), c_Orderings_Oord__class_Oless__eq(_187344, _187346, _187348), c_Orderings_Oord__class_Oless__eq(_187344, _187348, _187346), -(_187346 = _187348)], (4492 ^ _128844) ^ [_277359, _277361, _277363] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _277359, _277361), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _277363, _277359), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _277363, _277361)))], (1031 ^ _128844) ^ [_162041, _162043] : [-(c_Rings_Oinverse__class_Odivide(_162041, _162043, c_Int_Onumber__class_Onumber__of(_162041, c_Int_OBit1(c_Int_OPls))) = _162043), class_Fields_Ofield(_162041), class_Int_Onumber__ring(_162041)], (6423 ^ _128844) ^ [_345741, _345743, _345745, _345747] : [class_Fields_Ofield(_345741), -(_345743 = c_Groups_Ozero__class_Ozero(_345741)), -(c_Power_Opower__class_Opower(_345741, c_Rings_Oinverse__class_Odivide(_345741, _345745, _345743), _345747) = c_Rings_Oinverse__class_Odivide(_345741, c_Power_Opower__class_Opower(_345741, _345745, _345747), c_Power_Opower__class_Opower(_345741, _345743, _345747)))], (4938 ^ _128844) ^ [_292719, _292721] : [-(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _292719, _292721), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _292721) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _292719, _292721), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (8105 ^ _128844) ^ [_405621, _405623, _405625] : [class_Rings_Oordered__ring(_405621), -(c_Orderings_Oord__class_Oless__eq(_405621, c_Groups_Ozero__class_Ozero(_405621), c_Groups_Otimes__class_Otimes(_405621, _405623, _405625))), 8110 ^ _128844 : [(8117 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405621, _405623, c_Groups_Ozero__class_Ozero(_405621)), c_Orderings_Oord__class_Oless__eq(_405621, _405625, c_Groups_Ozero__class_Ozero(_405621))], (8111 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405621, c_Groups_Ozero__class_Ozero(_405621), _405623), c_Orderings_Oord__class_Oless__eq(_405621, c_Groups_Ozero__class_Ozero(_405621), _405625)]]], (11993 ^ _128844) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal))], (11847 ^ _128844) ^ [] : [-(class_Rings_Oordered__ring(tc_Int_Oint))], (304 ^ _128844) ^ [_138001, _138003] : [-(class_Orderings_Oorder(_138001)), _138003 = _138001, class_Orderings_Oorder(_138003)], (8855 ^ _128844) ^ [_430987, _430989, _430991, _430993] : [class_Fields_Ofield__inverse__zero(_430987), -(_430989 = c_Groups_Ozero__class_Ozero(_430987)), -(c_Rings_Oinverse__class_Odivide(_430987, c_Groups_Otimes__class_Otimes(_430987, _430991, _430989), c_Groups_Otimes__class_Otimes(_430987, _430993, _430989)) = c_Rings_Oinverse__class_Odivide(_430987, _430991, _430993))], (7549 ^ _128844) ^ [_387089, _387091] : [-(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _387089, _387091) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _387091, _387089))], (2238 ^ _128844) ^ [_201756, _201758, _201760] : [class_Int_Onumber(_201756), 2241 ^ _128844 : [(2248 ^ _128844) ^ [] : [_201760 = c_Int_Onumber__class_Onumber__of(_201756, _201758), -(c_Int_Onumber__class_Onumber__of(_201756, _201758) = _201760)], (2242 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_201756, _201758) = _201760, -(_201760 = c_Int_Onumber__class_Onumber__of(_201756, _201758))]]], (9537 ^ _128844) ^ [_453442, _453444, _453446] : [class_Rings_Olinordered__idom(_453442), c_Orderings_Oord__class_Oless__eq(_453442, c_Groups_Ozero__class_Ozero(_453442), _453444), c_Orderings_Oord__class_Oless__eq(_453442, c_Groups_Ozero__class_Ozero(_453442), _453446), c_Orderings_Oord__class_Oless__eq(_453442, _453446, c_Groups_Oone__class_Oone(_453442)), -(c_Orderings_Oord__class_Oless__eq(_453442, c_Groups_Otimes__class_Otimes(_453442, _453446, _453444), _453444))], (11293 ^ _128844) ^ [_513363, _513365, _513367] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _513363, _513365), _513367) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _513363, _513367), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _513365, _513367)))], (5235 ^ _128844) ^ [_304135, _304137] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304135, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _304135, _304137)))], (5449 ^ _128844) ^ [_312002, _312004, _312006] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312002, _312004), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312006, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312004, _312006), _312002)))], (9491 ^ _128844) ^ [_451935, _451937, _451939] : [class_Rings_Olinordered__ring__strict(_451935), 9494 ^ _128844 : [(9495 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_451935, c_Groups_Ozero__class_Ozero(_451935), c_Groups_Oplus__class_Oplus(_451935, c_Groups_Otimes__class_Otimes(_451935, _451937, _451937), c_Groups_Otimes__class_Otimes(_451935, _451939, _451939))), _451937 = c_Groups_Ozero__class_Ozero(_451935), _451939 = c_Groups_Ozero__class_Ozero(_451935)], (9505 ^ _128844) ^ [] : [9506 ^ _128844 : [(9509 ^ _128844) ^ [] : [-(_451939 = c_Groups_Ozero__class_Ozero(_451935))], (9507 ^ _128844) ^ [] : [-(_451937 = c_Groups_Ozero__class_Ozero(_451935))]], -(c_Orderings_Oord__class_Oless(_451935, c_Groups_Ozero__class_Ozero(_451935), c_Groups_Oplus__class_Oplus(_451935, c_Groups_Otimes__class_Otimes(_451935, _451937, _451937), c_Groups_Otimes__class_Otimes(_451935, _451939, _451939))))]]], (2974 ^ _128844) ^ [_225340, _225342] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _225340, _225342), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _225340, _225342))], (956 ^ _128844) ^ [_159274, _159276, _159278, _159280, _159282, _159284] : [-(c_Rings_Oinverse__class_Odivide(_159284, _159280, _159276) = c_Rings_Oinverse__class_Odivide(_159282, _159278, _159274)), _159284 = _159282, _159280 = _159278, _159276 = _159274], (3894 ^ _128844) ^ [_255597] : [_255597 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _255597, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))], (4866 ^ _128844) ^ [_289901, _289903, _289905] : [class_RealVector_Oreal__normed__vector(_289901), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_289901, c_Groups_Ominus__class_Ominus(_289901, _289903, _289905)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_289901, _289903), c_RealVector_Onorm__class_Onorm(_289901, _289905))))], (7925 ^ _128844) ^ [_399950, _399952, _399954] : [class_Fields_Olinordered__field(_399950), c_Orderings_Oord__class_Oless(_399950, c_Rings_Oinverse__class_Oinverse(_399950, _399952), c_Rings_Oinverse__class_Oinverse(_399950, _399954)), c_Orderings_Oord__class_Oless(_399950, c_Groups_Ozero__class_Ozero(_399950), _399952), -(c_Orderings_Oord__class_Oless(_399950, _399954, _399952))], (7057 ^ _128844) ^ [_367267, _367269] : [c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367267, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367269, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = _367267, -(_367269 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (11791 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint))], (6811 ^ _128844) ^ [_358471, _358473] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_358471), c_NthRoot_Osqrt(_358473)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _358471, _358473))], (374 ^ _128844) ^ [_140066, _140068] : [-(class_Groups_Ocancel__ab__semigroup__add(_140066)), _140068 = _140066, class_Groups_Ocancel__ab__semigroup__add(_140068)], (654 ^ _128844) ^ [_148326, _148328] : [-(class_Fields_Ofield(_148326)), _148328 = _148326, class_Fields_Ofield(_148328)], (7685 ^ _128844) ^ [_391957, _391959] : [class_Rings_Odivision__ring(_391957), -(_391959 = c_Groups_Ozero__class_Ozero(_391957)), c_Rings_Oinverse__class_Oinverse(_391957, _391959) = c_Groups_Ozero__class_Ozero(_391957)], (10307 ^ _128844) ^ [_479717, _479719, _479721, _479723] : [class_Fields_Olinordered__field__inverse__zero(_479717), 10310 ^ _128844 : [(10311 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_479717, _479719, c_Rings_Oinverse__class_Odivide(_479717, _479721, _479723)), 10314 ^ _128844 : [(10321 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_479717, c_Groups_Ozero__class_Ozero(_479717), _479723)), 10324 ^ _128844 : [(10331 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_479717, _479723, c_Groups_Ozero__class_Ozero(_479717))), -(c_Orderings_Oord__class_Oless__eq(_479717, _479719, c_Groups_Ozero__class_Ozero(_479717)))], (10325 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_479717, _479723, c_Groups_Ozero__class_Ozero(_479717)), -(c_Orderings_Oord__class_Oless__eq(_479717, _479721, c_Groups_Otimes__class_Otimes(_479717, _479719, _479723)))]]], (10315 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_479717, c_Groups_Ozero__class_Ozero(_479717), _479723), -(c_Orderings_Oord__class_Oless__eq(_479717, c_Groups_Otimes__class_Otimes(_479717, _479719, _479723), _479721))]]], (10337 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_479717, _479719, c_Rings_Oinverse__class_Odivide(_479717, _479721, _479723))), 10340 ^ _128844 : [(10343 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_479717, c_Groups_Otimes__class_Otimes(_479717, _479719, _479723), _479721)], (10341 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_479717, c_Groups_Ozero__class_Ozero(_479717), _479723))]], 10344 ^ _128844 : [(10347 ^ _128844) ^ [] : [10348 ^ _128844 : [(10351 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_479717, _479721, c_Groups_Otimes__class_Otimes(_479717, _479719, _479723))], (10349 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_479717, _479723, c_Groups_Ozero__class_Ozero(_479717)))]], 10352 ^ _128844 : [(10355 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_479717, _479719, c_Groups_Ozero__class_Ozero(_479717))], (10353 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_479717, _479723, c_Groups_Ozero__class_Ozero(_479717))]]], (10345 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_479717, c_Groups_Ozero__class_Ozero(_479717), _479723)]]]]], (11441 ^ _128844) ^ [] : [-(c_Transcendental_Oarctan(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (5651 ^ _128844) ^ [_319656] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _319656))))], (1235 ^ _128844) ^ [_169339, _169341] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_169339), c_Int_OBit0(_169341)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _169339, _169341))], (5952 ^ _128844) ^ [_330063, _330065] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _330063, _330065), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _330063, c_Groups_Oone__class_Oone(tc_Int_Oint)), _330065))], (8225 ^ _128844) ^ [_409540, _409542, _409544, _409546] : [class_Rings_Oordered__semiring(_409540), c_Orderings_Oord__class_Oless__eq(_409540, _409542, _409544), c_Orderings_Oord__class_Oless__eq(_409540, c_Groups_Ozero__class_Ozero(_409540), _409546), -(c_Orderings_Oord__class_Oless__eq(_409540, c_Groups_Otimes__class_Otimes(_409540, _409542, _409546), c_Groups_Otimes__class_Otimes(_409540, _409544, _409546)))], (1215 ^ _128844) ^ [_168606, _168608] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _168606, _168608), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_168606), c_Int_OBit1(_168608)))], (12063 ^ _128844) ^ [] : [-(class_Groups_Omonoid__mult(tc_RealDef_Oreal))], (8865 ^ _128844) ^ [_431371, _431373, _431375, _431377] : [class_Fields_Ofield__inverse__zero(_431371), 8868 ^ _128844 : [(8869 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_431371, _431373, _431375) = _431377, 8872 ^ _128844 : [(8879 ^ _128844) ^ [] : [_431375 = c_Groups_Ozero__class_Ozero(_431371), -(_431377 = c_Groups_Ozero__class_Ozero(_431371))], (8873 ^ _128844) ^ [] : [-(_431375 = c_Groups_Ozero__class_Ozero(_431371)), -(_431373 = c_Groups_Otimes__class_Otimes(_431371, _431377, _431375))]]], (8885 ^ _128844) ^ [] : [-(c_Rings_Oinverse__class_Odivide(_431371, _431373, _431375) = _431377), 8888 ^ _128844 : [(8891 ^ _128844) ^ [] : [_431373 = c_Groups_Otimes__class_Otimes(_431371, _431377, _431375)], (8889 ^ _128844) ^ [] : [_431375 = c_Groups_Ozero__class_Ozero(_431371)]], 8892 ^ _128844 : [(8895 ^ _128844) ^ [] : [_431377 = c_Groups_Ozero__class_Ozero(_431371)], (8893 ^ _128844) ^ [] : [-(_431375 = c_Groups_Ozero__class_Ozero(_431371))]]]]], (7009 ^ _128844) ^ [_365422] : [-(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal, _365422, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _365422))], (12179 ^ _128844) ^ [] : [-(class_Groups_Oone(tc_Complex_Ocomplex))], (8591 ^ _128844) ^ [_421226, _421228, _421230, _421232] : [class_Rings_Olinordered__ring__strict(_421226), 8594 ^ _128844 : [(8609 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_421226, c_Groups_Otimes__class_Otimes(_421226, _421228, _421230), c_Groups_Otimes__class_Otimes(_421226, _421228, _421232))), 8610 ^ _128844 : [(8617 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_421226, _421228, c_Groups_Ozero__class_Ozero(_421226)), c_Orderings_Oord__class_Oless(_421226, _421232, _421230)], (8611 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_421226, c_Groups_Ozero__class_Ozero(_421226), _421228), c_Orderings_Oord__class_Oless(_421226, _421230, _421232)]]], (8595 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_421226, c_Groups_Otimes__class_Otimes(_421226, _421228, _421230), c_Groups_Otimes__class_Otimes(_421226, _421228, _421232)), 8600 ^ _128844 : [(8603 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_421226, _421230, _421232))], (8601 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_421226, c_Groups_Ozero__class_Ozero(_421226), _421228))]], 8604 ^ _128844 : [(8607 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_421226, _421232, _421230))], (8605 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_421226, _421228, c_Groups_Ozero__class_Ozero(_421226)))]]]]], (1135 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_r))], (8515 ^ _128844) ^ [_418801, _418803, _418805] : [class_Rings_Olinordered__semiring__strict(_418801), c_Orderings_Oord__class_Oless(_418801, c_Groups_Ozero__class_Ozero(_418801), c_Groups_Otimes__class_Otimes(_418801, _418803, _418805)), c_Orderings_Oord__class_Oless(_418801, c_Groups_Ozero__class_Ozero(_418801), _418803), -(c_Orderings_Oord__class_Oless(_418801, c_Groups_Ozero__class_Ozero(_418801), _418805))], (3794 ^ _128844) ^ [_252275, _252277] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _252275, _252277), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _252275, _252277))], (5251 ^ _128844) ^ [_304817, _304819] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _304817), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _304819)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _304817, _304819)))], (434 ^ _128844) ^ [_141836, _141838] : [-(class_Fields_Ofield__inverse__zero(_141836)), _141838 = _141836, class_Fields_Ofield__inverse__zero(_141838)], (1629 ^ _128844) ^ [_182589, _182591] : [-(c_Complex_OIm(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _182589, _182591)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(_182589), c_Complex_OIm(_182591)))], (11259 ^ _128844) ^ [_511748] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _511748, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511748, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511748, _511748))))], (3388 ^ _128844) ^ [_238633, _238635, _238637] : [class_Fields_Olinordered__field(_238633), c_Orderings_Oord__class_Oless(_238633, _238635, c_Groups_Ozero__class_Ozero(_238633)), c_Orderings_Oord__class_Oless(_238633, c_Groups_Ozero__class_Ozero(_238633), _238637), -(c_Orderings_Oord__class_Oless(_238633, c_Rings_Oinverse__class_Odivide(_238633, _238635, _238637), c_Groups_Ozero__class_Ozero(_238633)))], (11779 ^ _128844) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint))], (5928 ^ _128844) ^ [_329276] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _329276), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _329276))], (3542 ^ _128844) ^ [_243669] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243669, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (11795 ^ _128844) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_Int_Oint))], (4946 ^ _128844) ^ [_293166, _293168, _293170, _293172] : [class_Rings_Olinordered__idom(_293166), 4949 ^ _128844 : [(4958 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_293166, c_Groups_Oabs__class_Oabs(_293166, c_Groups_Ominus__class_Ominus(_293166, _293168, _293170)), _293172)), c_Orderings_Oord__class_Oless(_293166, c_Groups_Ominus__class_Ominus(_293166, _293170, _293172), _293168), c_Orderings_Oord__class_Oless(_293166, _293168, c_Groups_Oplus__class_Oplus(_293166, _293170, _293172))], (4950 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_293166, c_Groups_Oabs__class_Oabs(_293166, c_Groups_Ominus__class_Ominus(_293166, _293168, _293170)), _293172), 4953 ^ _128844 : [(4956 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_293166, _293168, c_Groups_Oplus__class_Oplus(_293166, _293170, _293172)))], (4954 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_293166, c_Groups_Ominus__class_Ominus(_293166, _293170, _293172), _293168))]]]]], (11273 ^ _128844) ^ [_512392, _512394, _512396, _512398] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _512392, _512394), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _512396, _512398), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _512392, _512396), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _512394, _512398)))], (5922 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (7081 ^ _128844) ^ [_368197, _368199, _368201] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_368197), 7084 ^ _128844 : [(7091 ^ _128844) ^ [] : [_368201 = c_Groups_Ozero__class_Ozero(_368197), -(_368199 = c_Groups_Oplus__class_Oplus(_368197, _368199, _368201))], (7085 ^ _128844) ^ [] : [_368199 = c_Groups_Oplus__class_Oplus(_368197, _368199, _368201), -(_368201 = c_Groups_Ozero__class_Ozero(_368197))]]], (7435 ^ _128844) ^ [_382863, _382865] : [-(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382863, _382865), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382863, _382863)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _382865, _382863))], (888 ^ _128844) ^ [_156753, _156755] : [_156755 = _156753, -(c_NthRoot_Osqrt(_156755) = c_NthRoot_Osqrt(_156753))], (1427 ^ _128844) ^ [_175946, _175948] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_175946), c_Int_OBit0(_175948)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _175946, _175948))], (5776 ^ _128844) ^ [_323748, _323750, _323752] : [class_Rings_Olinordered__idom(_323748), c_Orderings_Oord__class_Oless(_323748, c_Groups_Oplus__class_Oplus(_323748, c_Power_Opower__class_Opower(_323748, _323750, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_323748, _323752, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_323748))], (11357 ^ _128844) ^ [_515934, _515936, _515938] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _515934, _515936), _515938) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _515934, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _515936, _515938)))], (2476 ^ _128844) ^ [_209281, _209283, _209285] : [class_Orderings_Oorder(_209281), -(_209283 = _209285), c_Orderings_Oord__class_Oless__eq(_209281, _209285, _209283), -(c_Orderings_Oord__class_Oless(_209281, _209285, _209283))], (9407 ^ _128844) ^ [_449110, _449112, _449114, _449116] : [class_Rings_Olinordered__semiring(_449110), c_Orderings_Oord__class_Oless(_449110, c_Groups_Otimes__class_Otimes(_449110, _449112, _449114), c_Groups_Otimes__class_Otimes(_449110, _449112, _449116)), c_Orderings_Oord__class_Oless__eq(_449110, c_Groups_Ozero__class_Ozero(_449110), _449112), -(c_Orderings_Oord__class_Oless(_449110, _449114, _449116))], (1361 ^ _128844) ^ [_173539, _173541] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_173539), c_Int_OBit0(_173541)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _173539, _173541))], (8197 ^ _128844) ^ [_408604, _408606, _408608, _408610] : [class_Rings_Oordered__comm__semiring(_408604), c_Orderings_Oord__class_Oless__eq(_408604, _408606, _408608), c_Orderings_Oord__class_Oless__eq(_408604, c_Groups_Ozero__class_Ozero(_408604), _408610), -(c_Orderings_Oord__class_Oless__eq(_408604, c_Groups_Otimes__class_Otimes(_408604, _408610, _408606), c_Groups_Otimes__class_Otimes(_408604, _408610, _408608)))], (11695 ^ _128844) ^ [_527591, _527593, _527595] : [class_Groups_Ogroup__add(_527591), 11698 ^ _128844 : [(11705 ^ _128844) ^ [] : [_527595 = c_Groups_Ouminus__class_Ouminus(_527591, _527593), -(_527593 = c_Groups_Ouminus__class_Ouminus(_527591, _527595))], (11699 ^ _128844) ^ [] : [_527593 = c_Groups_Ouminus__class_Ouminus(_527591, _527595), -(_527595 = c_Groups_Ouminus__class_Ouminus(_527591, _527593))]]], (8411 ^ _128844) ^ [_415440, _415442, _415444, _415446] : [class_Rings_Olinordered__comm__semiring__strict(_415440), c_Orderings_Oord__class_Oless(_415440, _415442, _415444), c_Orderings_Oord__class_Oless(_415440, c_Groups_Ozero__class_Ozero(_415440), _415446), -(c_Orderings_Oord__class_Oless(_415440, c_Groups_Otimes__class_Otimes(_415440, _415446, _415442), c_Groups_Otimes__class_Otimes(_415440, _415446, _415444)))], (5739 ^ _128844) ^ [_322295, _322297, _322299, _322301, _322303] : [class_Groups_Oab__group__add(_322295), -(c_Groups_Ominus__class_Ominus(_322295, c_Groups_Oplus__class_Oplus(_322295, _322297, _322299), c_Groups_Oplus__class_Oplus(_322295, _322301, _322303)) = c_Groups_Oplus__class_Oplus(_322295, c_Groups_Ominus__class_Ominus(_322295, _322297, _322301), c_Groups_Ominus__class_Ominus(_322295, _322299, _322303)))], (9001 ^ _128844) ^ [_435751, _435753, _435755, _435757, _435759] : [class_Rings_Olinordered__idom(_435751), c_Orderings_Oord__class_Oless(_435751, c_Groups_Oabs__class_Oabs(_435751, _435753), _435755), c_Orderings_Oord__class_Oless(_435751, c_Groups_Oabs__class_Oabs(_435751, _435757), _435759), -(c_Orderings_Oord__class_Oless(_435751, c_Groups_Otimes__class_Otimes(_435751, c_Groups_Oabs__class_Oabs(_435751, _435753), c_Groups_Oabs__class_Oabs(_435751, _435757)), c_Groups_Otimes__class_Otimes(_435751, _435755, _435759)))], (4422 ^ _128844) ^ [_274771, _274773, _274775, _274777] : [class_Groups_Oordered__cancel__ab__semigroup__add(_274771), c_Orderings_Oord__class_Oless(_274771, _274773, _274775), -(c_Orderings_Oord__class_Oless(_274771, c_Groups_Oplus__class_Oplus(_274771, _274777, _274773), c_Groups_Oplus__class_Oplus(_274771, _274777, _274775)))], (11257 ^ _128844) ^ [_511665] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _511665, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511665, _511665)))], (12109 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex))], (2380 ^ _128844) ^ [_206347, _206349, _206351, _206353] : [class_Orderings_Opreorder(_206347), c_Orderings_Oord__class_Oless(_206347, _206349, _206351), c_Orderings_Oord__class_Oless__eq(_206347, _206351, _206353), -(c_Orderings_Oord__class_Oless(_206347, _206349, _206353))], (12003 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal))], (10137 ^ _128844) ^ [_473876, _473878, _473880, _473882] : [class_Fields_Ofield(_473876), -(_473878 = c_Groups_Ozero__class_Ozero(_473876)), -(c_Groups_Ominus__class_Ominus(_473876, c_Rings_Oinverse__class_Odivide(_473876, _473880, _473878), _473882) = c_Rings_Oinverse__class_Odivide(_473876, c_Groups_Ominus__class_Ominus(_473876, _473880, c_Groups_Otimes__class_Otimes(_473876, _473878, _473882)), _473878))], (5413 ^ _128844) ^ [_310555, _310557] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _310555, _310557)), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _310557, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _310555, _310557)) = _310555)], (4992 ^ _128844) ^ [_294767] : [class_RealVector_Oreal__normed__algebra__1(_294767), -(c_RealVector_Onorm__class_Onorm(_294767, c_Groups_Oone__class_Oone(_294767)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (2422 ^ _128844) ^ [_207623, _207625, _207627] : [class_Orderings_Oorder(_207623), c_Orderings_Oord__class_Oless__eq(_207623, _207625, _207627), -(c_Orderings_Oord__class_Oless(_207623, _207625, _207627)), -(_207625 = _207627)], (5914 ^ _128844) ^ [_328797, _328799] : [5915 ^ _128844 : [(5918 ^ _128844) ^ [] : [_328799 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (5916 ^ _128844) ^ [] : [-(_328797 = c_Groups_Ozero__class_Ozero(tc_Int_Oint))]], -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _328797), _328799)))], (8811 ^ _128844) ^ [_429390, _429392, _429394, _429396] : [-(c_Groups_Otimes__class_Otimes(_429390, c_Groups_Ominus__class_Ominus(_429390, _429392, _429394), c_Int_Onumber__class_Onumber__of(_429390, _429396)) = c_Groups_Ominus__class_Ominus(_429390, c_Groups_Otimes__class_Otimes(_429390, _429392, c_Int_Onumber__class_Onumber__of(_429390, _429396)), c_Groups_Otimes__class_Otimes(_429390, _429394, c_Int_Onumber__class_Onumber__of(_429390, _429396)))), class_Int_Onumber(_429390), class_Rings_Oring(_429390)], (792 ^ _128844) ^ [_153256, _153258] : [_153258 = _153256, -(c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_153258) = c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_153256))], (3646 ^ _128844) ^ [_247326, _247328] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247326, _247328), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247328, _247326), -(_247326 = _247328)], (4764 ^ _128844) ^ [_286371, _286373, _286375] : [class_Groups_Oordered__comm__monoid__add(_286371), c_Orderings_Oord__class_Oless__eq(_286371, _286373, c_Groups_Ozero__class_Ozero(_286371)), c_Orderings_Oord__class_Oless(_286371, _286375, c_Groups_Ozero__class_Ozero(_286371)), -(c_Orderings_Oord__class_Oless(_286371, c_Groups_Oplus__class_Oplus(_286371, _286373, _286375), c_Groups_Ozero__class_Ozero(_286371)))], (7075 ^ _128844) ^ [_367963, _367965] : [class_Rings_Ocomm__semiring__1(_367963), -(c_Groups_Oplus__class_Oplus(_367963, _367965, c_Groups_Ozero__class_Ozero(_367963)) = _367965)], (11155 ^ _128844) ^ [_507600, _507602, _507604] : [class_Int_Onumber__ring(_507600), -(c_Power_Opower__class_Opower(_507600, c_Groups_Ominus__class_Ominus(_507600, _507602, _507604), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ominus__class_Ominus(_507600, c_Groups_Oplus__class_Oplus(_507600, c_Power_Opower__class_Opower(_507600, _507602, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_507600, _507604, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_507600, c_Groups_Otimes__class_Otimes(_507600, c_Int_Onumber__class_Onumber__of(_507600, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _507602), _507604)))], (8625 ^ _128844) ^ [_422305, _422307, _422309, _422311] : [class_Rings_Olinordered__ring__strict(_422305), 8628 ^ _128844 : [(8643 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_422305, c_Groups_Otimes__class_Otimes(_422305, _422307, _422309), c_Groups_Otimes__class_Otimes(_422305, _422311, _422309))), 8644 ^ _128844 : [(8651 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_422305, _422309, c_Groups_Ozero__class_Ozero(_422305)), c_Orderings_Oord__class_Oless(_422305, _422311, _422307)], (8645 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_422305, c_Groups_Ozero__class_Ozero(_422305), _422309), c_Orderings_Oord__class_Oless(_422305, _422307, _422311)]]], (8629 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_422305, c_Groups_Otimes__class_Otimes(_422305, _422307, _422309), c_Groups_Otimes__class_Otimes(_422305, _422311, _422309)), 8634 ^ _128844 : [(8637 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_422305, _422307, _422311))], (8635 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_422305, c_Groups_Ozero__class_Ozero(_422305), _422309))]], 8638 ^ _128844 : [(8641 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_422305, _422311, _422307))], (8639 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_422305, _422309, c_Groups_Ozero__class_Ozero(_422305)))]]]]], (4926 ^ _128844) ^ [_292286, _292288] : [class_Rings_Odivision__ring__inverse__zero(_292286), -(c_Rings_Oinverse__class_Odivide(_292286, _292288, c_Groups_Ozero__class_Ozero(_292286)) = c_Groups_Ozero__class_Ozero(_292286))], (11973 ^ _128844) ^ [] : [-(class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal))], (3706 ^ _128844) ^ [_249281, _249283, _249285] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249281, _249283), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249281, _249285), 3713 ^ _128844 : [(3720 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249283, _249285), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249283, _249281), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249285, _249281)))], (3714 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249283, _249281), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249285, _249281)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249283, _249285))]]], (1159 ^ _128844) ^ [_166672, _166674] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_166672), c_Int_OBit1(_166674)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _166672, _166674))], (7733 ^ _128844) ^ [_393418] : [class_Fields_Ofield__inverse__zero(_393418), -(c_Rings_Oinverse__class_Oinverse(_393418, c_Groups_Ozero__class_Ozero(_393418)) = c_Groups_Ozero__class_Ozero(_393418))], (3492 ^ _128844) ^ [_241959] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _241959, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (2712 ^ _128844) ^ [_216576, _216578, _216580, _216582, _216584] : [class_Groups_Oordered__ab__group__add(_216576), c_Groups_Ominus__class_Ominus(_216576, _216578, _216580) = c_Groups_Ominus__class_Ominus(_216576, _216582, _216584), 2719 ^ _128844 : [(2726 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_216576, _216582, _216584), -(c_Orderings_Oord__class_Oless(_216576, _216578, _216580))], (2720 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_216576, _216578, _216580), -(c_Orderings_Oord__class_Oless(_216576, _216582, _216584))]]], (7583 ^ _128844) ^ [_388586, _388588, _388590] : [class_Rings_Oring__no__zero__divisors(_388586), 7586 ^ _128844 : [(7587 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_388586, _388588, _388590) = c_Groups_Ozero__class_Ozero(_388586), -(_388588 = c_Groups_Ozero__class_Ozero(_388586)), -(_388590 = c_Groups_Ozero__class_Ozero(_388586))], (7597 ^ _128844) ^ [] : [7598 ^ _128844 : [(7601 ^ _128844) ^ [] : [_388590 = c_Groups_Ozero__class_Ozero(_388586)], (7599 ^ _128844) ^ [] : [_388588 = c_Groups_Ozero__class_Ozero(_388586)]], -(c_Groups_Otimes__class_Otimes(_388586, _388588, _388590) = c_Groups_Ozero__class_Ozero(_388586))]]], (5391 ^ _128844) ^ [_309771, _309773] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _309771), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _309773), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _309771, _309773)))], (1259 ^ _128844) ^ [_170178, _170180, _170182] : [class_Groups_Ogroup__add(_170178), 1262 ^ _128844 : [(1269 ^ _128844) ^ [] : [_170180 = _170182, -(c_Groups_Ominus__class_Ominus(_170178, _170180, _170182) = c_Groups_Ozero__class_Ozero(_170178))], (1263 ^ _128844) ^ [] : [c_Groups_Ominus__class_Ominus(_170178, _170180, _170182) = c_Groups_Ozero__class_Ozero(_170178), -(_170180 = _170182)]]], (11423 ^ _128844) ^ [_518574, _518576] : [-(c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _518574, _518576)), _518574 = c_Groups_Oone__class_Oone(tc_Nat_Onat), _518576 = c_Groups_Oone__class_Oone(tc_Nat_Onat)], (11767 ^ _128844) ^ [_530317, _530319] : [class_Orderings_Oorder(_530317), -(class_Orderings_Oorder(tc_fun(_530319, _530317)))], (1183 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls)], (2080 ^ _128844) ^ [_196891, _196893, _196895] : [class_Orderings_Oorder(_196891), c_Orderings_Oord__class_Oless(_196891, _196893, _196895), _196893 = _196895], (10569 ^ _128844) ^ [_488131, _488133, _488135, _488137] : [class_Fields_Olinordered__field__inverse__zero(_488131), class_Int_Onumber(_488131), 10576 ^ _128844 : [(10577 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, _488133, c_Rings_Oinverse__class_Odivide(_488131, _488135, c_Int_Onumber__class_Onumber__of(_488131, _488137))), 10580 ^ _128844 : [(10587 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_488131, c_Groups_Ozero__class_Ozero(_488131), c_Int_Onumber__class_Onumber__of(_488131, _488137))), 10590 ^ _128844 : [(10597 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_488131, c_Int_Onumber__class_Onumber__of(_488131, _488137), c_Groups_Ozero__class_Ozero(_488131))), -(c_Orderings_Oord__class_Oless(_488131, _488133, c_Groups_Ozero__class_Ozero(_488131)))], (10591 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, c_Int_Onumber__class_Onumber__of(_488131, _488137), c_Groups_Ozero__class_Ozero(_488131)), -(c_Orderings_Oord__class_Oless(_488131, _488135, c_Groups_Otimes__class_Otimes(_488131, _488133, c_Int_Onumber__class_Onumber__of(_488131, _488137))))]]], (10581 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, c_Groups_Ozero__class_Ozero(_488131), c_Int_Onumber__class_Onumber__of(_488131, _488137)), -(c_Orderings_Oord__class_Oless(_488131, c_Groups_Otimes__class_Otimes(_488131, _488133, c_Int_Onumber__class_Onumber__of(_488131, _488137)), _488135))]]], (10603 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_488131, _488133, c_Rings_Oinverse__class_Odivide(_488131, _488135, c_Int_Onumber__class_Onumber__of(_488131, _488137)))), 10606 ^ _128844 : [(10609 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, c_Groups_Otimes__class_Otimes(_488131, _488133, c_Int_Onumber__class_Onumber__of(_488131, _488137)), _488135)], (10607 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_488131, c_Groups_Ozero__class_Ozero(_488131), c_Int_Onumber__class_Onumber__of(_488131, _488137)))]], 10610 ^ _128844 : [(10613 ^ _128844) ^ [] : [10614 ^ _128844 : [(10617 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, _488135, c_Groups_Otimes__class_Otimes(_488131, _488133, c_Int_Onumber__class_Onumber__of(_488131, _488137)))], (10615 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_488131, c_Int_Onumber__class_Onumber__of(_488131, _488137), c_Groups_Ozero__class_Ozero(_488131)))]], 10618 ^ _128844 : [(10621 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, _488133, c_Groups_Ozero__class_Ozero(_488131))], (10619 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, c_Int_Onumber__class_Onumber__of(_488131, _488137), c_Groups_Ozero__class_Ozero(_488131))]]], (10611 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_488131, c_Groups_Ozero__class_Ozero(_488131), c_Int_Onumber__class_Onumber__of(_488131, _488137))]]]]], (6171 ^ _128844) ^ [_337442, _337444, _337446] : [class_Rings_Olinordered__idom(_337442), 6174 ^ _128844 : [(6183 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_337442, c_Groups_Oplus__class_Oplus(_337442, c_Power_Opower__class_Opower(_337442, _337444, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_337442, _337446, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_337442))), _337444 = c_Groups_Ozero__class_Ozero(_337442), _337446 = c_Groups_Ozero__class_Ozero(_337442)], (6175 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_337442, c_Groups_Oplus__class_Oplus(_337442, c_Power_Opower__class_Opower(_337442, _337444, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_337442, _337446, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_337442)), 6178 ^ _128844 : [(6181 ^ _128844) ^ [] : [-(_337446 = c_Groups_Ozero__class_Ozero(_337442))], (6179 ^ _128844) ^ [] : [-(_337444 = c_Groups_Ozero__class_Ozero(_337442))]]]]], (11797 ^ _128844) ^ [] : [-(class_Groups_Olinordered__ab__group__add(tc_Int_Oint))], (8745 ^ _128844) ^ [_426593, _426595, _426597, _426599, _426601, _426603] : [class_Rings_Oring(_426593), 8748 ^ _128844 : [(8755 ^ _128844) ^ [] : [_426599 = c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, c_Groups_Ominus__class_Ominus(_426593, _426601, _426595), _426597), _426603), -(c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, _426595, _426597), _426599) = c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, _426601, _426597), _426603))], (8749 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, _426595, _426597), _426599) = c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, _426601, _426597), _426603), -(_426599 = c_Groups_Oplus__class_Oplus(_426593, c_Groups_Otimes__class_Otimes(_426593, c_Groups_Ominus__class_Ominus(_426593, _426601, _426595), _426597), _426603))]]], (1966 ^ _128844) ^ [_193249, _193251, _193253, _193255] : [class_Orderings_Oorder(_193249), c_Orderings_Oord__class_Oless(_193249, _193251, _193253), c_Orderings_Oord__class_Oless(_193249, _193255, _193251), -(c_Orderings_Oord__class_Oless(_193249, _193255, _193253))], (264 ^ _128844) ^ [_136821, _136823] : [-(class_Rings_Olinordered__idom(_136821)), _136823 = _136821, class_Rings_Olinordered__idom(_136823)], (5110 ^ _128844) ^ [_299166, _299168, _299170] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299166, _299168), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299166, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299168, _299170)))], (9571 ^ _128844) ^ [_454687, _454689, _454691, _454693, _454695, _454697] : [class_Rings_Oordered__ring(_454687), 9574 ^ _128844 : [(9581 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_454687, c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, c_Groups_Ominus__class_Ominus(_454687, _454689, _454695), _454691), _454693), _454697), -(c_Orderings_Oord__class_Oless__eq(_454687, c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, _454689, _454691), _454693), c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, _454695, _454691), _454697)))], (9575 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_454687, c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, _454689, _454691), _454693), c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, _454695, _454691), _454697)), -(c_Orderings_Oord__class_Oless__eq(_454687, c_Groups_Oplus__class_Oplus(_454687, c_Groups_Otimes__class_Otimes(_454687, c_Groups_Ominus__class_Ominus(_454687, _454689, _454695), _454691), _454693), _454697))]]], (5046 ^ _128844) ^ [_296689, _296691] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _296689, _296691) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _296689 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _296691 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (634 ^ _128844) ^ [_147736, _147738] : [-(class_Rings_Osemiring(_147736)), _147738 = _147736, class_Rings_Osemiring(_147738)], (7981 ^ _128844) ^ [_401655, _401657] : [class_Fields_Olinordered__field(_401655), c_Orderings_Oord__class_Oless(_401655, _401657, c_Groups_Ozero__class_Ozero(_401655)), -(c_Orderings_Oord__class_Oless(_401655, c_Rings_Oinverse__class_Oinverse(_401655, _401657), c_Groups_Ozero__class_Ozero(_401655)))], (12161 ^ _128844) ^ [] : [-(class_Int_Onumber__ring(tc_Complex_Ocomplex))], (104 ^ _128844) ^ [_132101, _132103] : [-(class_Rings_Olinordered__semiring__strict(_132101)), _132103 = _132101, class_Rings_Olinordered__semiring__strict(_132103)], (2832 ^ _128844) ^ [_220722, _220724, _220726, _220728, _220730] : [class_Fields_Olinordered__field(_220722), c_Orderings_Oord__class_Oless__eq(_220722, c_Groups_Ozero__class_Ozero(_220722), _220724), c_Orderings_Oord__class_Oless__eq(_220722, _220724, _220726), c_Orderings_Oord__class_Oless(_220722, c_Groups_Ozero__class_Ozero(_220722), _220728), c_Orderings_Oord__class_Oless__eq(_220722, _220728, _220730), -(c_Orderings_Oord__class_Oless__eq(_220722, c_Rings_Oinverse__class_Odivide(_220722, _220724, _220730), c_Rings_Oinverse__class_Odivide(_220722, _220726, _220728)))], (3148 ^ _128844) ^ [_231044, _231046] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231044), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231046)), 3151 ^ _128844 : [(3152 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _231044, _231046), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _231046))], (3158 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _231044, _231046))]]], (2672 ^ _128844) ^ [_215300, _215302, _215304, _215306, _215308] : [class_Groups_Oordered__ab__group__add(_215300), c_Groups_Ominus__class_Ominus(_215300, _215302, _215304) = c_Groups_Ominus__class_Ominus(_215300, _215306, _215308), 2679 ^ _128844 : [(2686 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_215300, _215306, _215308), -(c_Orderings_Oord__class_Oless__eq(_215300, _215302, _215304))], (2680 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_215300, _215302, _215304), -(c_Orderings_Oord__class_Oless__eq(_215300, _215306, _215308))]]], (9811 ^ _128844) ^ [_462816, _462818, _462820, _462822] : [class_Fields_Olinordered__field(_462816), c_Orderings_Oord__class_Oless(_462816, _462818, c_Groups_Ozero__class_Ozero(_462816)), 9818 ^ _128844 : [(9825 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_462816, c_Groups_Otimes__class_Otimes(_462816, _462822, _462818), _462820), -(c_Orderings_Oord__class_Oless(_462816, c_Rings_Oinverse__class_Odivide(_462816, _462820, _462818), _462822))], (9819 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_462816, c_Rings_Oinverse__class_Odivide(_462816, _462820, _462818), _462822), -(c_Orderings_Oord__class_Oless(_462816, c_Groups_Otimes__class_Otimes(_462816, _462822, _462818), _462820))]]], (2286 ^ _128844) ^ [_203361, _203363] : [c_Int_OBit0(_203361) = c_Int_OBit0(_203363), -(_203361 = _203363)], (6991 ^ _128844) ^ [_364724, _364726, _364728, _364730] : [class_Rings_Ocomm__semiring__1(_364724), -(c_Groups_Oplus__class_Oplus(_364724, c_Groups_Oplus__class_Oplus(_364724, _364726, _364728), _364730) = c_Groups_Oplus__class_Oplus(_364724, c_Groups_Oplus__class_Oplus(_364724, _364726, _364730), _364728))], (4076 ^ _128844) ^ [_261921, _261923] : [c_SEQ_Osubseq(_261921), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _261923, hAPP(_261921, _261923)))], (3594 ^ _128844) ^ [_245536, _245538, _245540] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245536, _245538), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245536, _245540), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _245540, _245538), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _245540, _245536)))], (6967 ^ _128844) ^ [_363626, _363628, _363630] : [class_Rings_Ocomm__semiring__1(_363626), -(c_Groups_Oplus__class_Oplus(_363626, _363628, _363630) = c_Groups_Oplus__class_Oplus(_363626, _363630, _363628))], (5411 ^ _128844) ^ [_310438, _310440] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _310438, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _310438, _310440)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5237 ^ _128844) ^ [_304234, _304236] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304234, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _304236, _304234)))], (2352 ^ _128844) ^ [_205451, _205453, _205455, _205457] : [class_Orderings_Opreorder(_205451), c_Orderings_Oord__class_Oless__eq(_205451, _205453, _205455), c_Orderings_Oord__class_Oless(_205451, _205455, _205457), -(c_Orderings_Oord__class_Oless(_205451, _205453, _205457))], (6009 ^ _128844) ^ [_332111] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _332111), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _332111)))], (8467 ^ _128844) ^ [_417270, _417272, _417274] : [class_Rings_Olinordered__semiring__strict(_417270), c_Orderings_Oord__class_Oless(_417270, _417272, c_Groups_Ozero__class_Ozero(_417270)), c_Orderings_Oord__class_Oless(_417270, c_Groups_Ozero__class_Ozero(_417270), _417274), -(c_Orderings_Oord__class_Oless(_417270, c_Groups_Otimes__class_Otimes(_417270, _417272, _417274), c_Groups_Ozero__class_Ozero(_417270)))], (11841 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Int_Oint))], (5483 ^ _128844) ^ [_313252, _313254] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _313252, _313254), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _313254, _313252), _313252) = _313254)], (11015 ^ _128844) ^ [_502493, _502495, _502497, _502499] : [class_Fields_Olinordered__field__inverse__zero(_502493), class_Int_Onumber(_502493), 11022 ^ _128844 : [(11023 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_502493, c_Rings_Oinverse__class_Odivide(_502493, _502495, c_Int_Onumber__class_Onumber__of(_502493, _502497)), _502499), 11026 ^ _128844 : [(11033 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_502493, c_Groups_Ozero__class_Ozero(_502493), c_Int_Onumber__class_Onumber__of(_502493, _502497))), 11036 ^ _128844 : [(11043 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_502493, c_Int_Onumber__class_Onumber__of(_502493, _502497), c_Groups_Ozero__class_Ozero(_502493))), -(c_Orderings_Oord__class_Oless__eq(_502493, c_Groups_Ozero__class_Ozero(_502493), _502499))], (11037 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_502493, c_Int_Onumber__class_Onumber__of(_502493, _502497), c_Groups_Ozero__class_Ozero(_502493)), -(c_Orderings_Oord__class_Oless__eq(_502493, c_Groups_Otimes__class_Otimes(_502493, _502499, c_Int_Onumber__class_Onumber__of(_502493, _502497)), _502495))]]], (11027 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_502493, c_Groups_Ozero__class_Ozero(_502493), c_Int_Onumber__class_Onumber__of(_502493, _502497)), -(c_Orderings_Oord__class_Oless__eq(_502493, _502495, c_Groups_Otimes__class_Otimes(_502493, _502499, c_Int_Onumber__class_Onumber__of(_502493, _502497))))]]], (11049 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_502493, c_Rings_Oinverse__class_Odivide(_502493, _502495, c_Int_Onumber__class_Onumber__of(_502493, _502497)), _502499)), 11052 ^ _128844 : [(11055 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_502493, _502495, c_Groups_Otimes__class_Otimes(_502493, _502499, c_Int_Onumber__class_Onumber__of(_502493, _502497)))], (11053 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_502493, c_Groups_Ozero__class_Ozero(_502493), c_Int_Onumber__class_Onumber__of(_502493, _502497)))]], 11056 ^ _128844 : [(11059 ^ _128844) ^ [] : [11060 ^ _128844 : [(11063 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_502493, c_Groups_Otimes__class_Otimes(_502493, _502499, c_Int_Onumber__class_Onumber__of(_502493, _502497)), _502495)], (11061 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_502493, c_Int_Onumber__class_Onumber__of(_502493, _502497), c_Groups_Ozero__class_Ozero(_502493)))]], 11064 ^ _128844 : [(11067 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_502493, c_Groups_Ozero__class_Ozero(_502493), _502499)], (11065 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_502493, c_Int_Onumber__class_Onumber__of(_502493, _502497), c_Groups_Ozero__class_Ozero(_502493))]]], (11057 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_502493, c_Groups_Ozero__class_Ozero(_502493), c_Int_Onumber__class_Onumber__of(_502493, _502497))]]]]], (5239 ^ _128844) ^ [_304362, _304364, _304366] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304362, _304364), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304362, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _304366, _304364)))], (6537 ^ _128844) ^ [_349656, _349658, _349660, _349662] : [class_Rings_Olinordered__semidom(_349656), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _349658, _349660), c_Orderings_Oord__class_Oless(_349656, c_Groups_Oone__class_Oone(_349656), _349662), -(c_Orderings_Oord__class_Oless(_349656, c_Power_Opower__class_Opower(_349656, _349662, _349658), c_Power_Opower__class_Opower(_349656, _349662, _349660)))], (2408 ^ _128844) ^ [_207202, _207204, _207206] : [class_Orderings_Oorder(_207202), c_Orderings_Oord__class_Oless__eq(_207202, _207204, _207206), -(_207204 = _207206), -(c_Orderings_Oord__class_Oless(_207202, _207204, _207206))], (484 ^ _128844) ^ [_143311, _143313] : [-(class_Groups_Ocomm__monoid__add(_143311)), _143313 = _143311, class_Groups_Ocomm__monoid__add(_143313)], (7109 ^ _128844) ^ [_369209] : [-(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _369209) = c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_ORe(_369209), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_OIm(_369209), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))], (11289 ^ _128844) ^ [_513103, _513105, _513107] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _513103, _513105), _513107) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _513103, _513107), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _513105, _513107)))], (878 ^ _128844) ^ [_156422, _156424, _156426, _156428] : [-(c_Groups_Ouminus__class_Ouminus(_156428, _156424) = c_Groups_Ouminus__class_Ouminus(_156426, _156422)), _156428 = _156426, _156424 = _156422], (7895 ^ _128844) ^ [_399015, _399017] : [class_Fields_Olinordered__field__inverse__zero(_399015), 7898 ^ _128844 : [(7905 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_399015, c_Groups_Ozero__class_Ozero(_399015), _399017), -(c_Orderings_Oord__class_Oless__eq(_399015, c_Groups_Ozero__class_Ozero(_399015), c_Rings_Oinverse__class_Oinverse(_399015, _399017)))], (7899 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_399015, c_Groups_Ozero__class_Ozero(_399015), c_Rings_Oinverse__class_Oinverse(_399015, _399017)), -(c_Orderings_Oord__class_Oless__eq(_399015, c_Groups_Ozero__class_Ozero(_399015), _399017))]]], (10245 ^ _128844) ^ [_477760, _477762] : [class_Fields_Olinordered__field__inverse__zero(_477760), 10248 ^ _128844 : [(10249 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_477760, c_Rings_Oinverse__class_Oinverse(_477760, _477762), c_Groups_Oone__class_Oone(_477760)), -(c_Orderings_Oord__class_Oless__eq(_477760, _477762, c_Groups_Ozero__class_Ozero(_477760))), -(c_Orderings_Oord__class_Oless(_477760, c_Groups_Oone__class_Oone(_477760), _477762))], (10259 ^ _128844) ^ [] : [10260 ^ _128844 : [(10263 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_477760, c_Groups_Oone__class_Oone(_477760), _477762)], (10261 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_477760, _477762, c_Groups_Ozero__class_Ozero(_477760))]], -(c_Orderings_Oord__class_Oless(_477760, c_Rings_Oinverse__class_Oinverse(_477760, _477762), c_Groups_Oone__class_Oone(_477760)))]]], (1275 ^ _128844) ^ [_170684, _170686, _170688] : [class_Groups_Oab__group__add(_170684), 1278 ^ _128844 : [(1285 ^ _128844) ^ [] : [c_Groups_Ominus__class_Ominus(_170684, _170686, _170688) = c_Groups_Ozero__class_Ozero(_170684), -(_170686 = _170688)], (1279 ^ _128844) ^ [] : [_170686 = _170688, -(c_Groups_Ominus__class_Ominus(_170684, _170686, _170688) = c_Groups_Ozero__class_Ozero(_170684))]]], (2738 ^ _128844) ^ [_217481, _217483, _217485] : [class_Groups_Oordered__ab__group__add__abs(_217481), c_Orderings_Oord__class_Oless__eq(_217481, c_Groups_Oabs__class_Oabs(_217481, _217483), _217485), -(c_Orderings_Oord__class_Oless__eq(_217481, _217483, _217485))], (11433 ^ _128844) ^ [_518854] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _518854) = _518854)], (12099 ^ _128844) ^ [] : [-(class_Groups_Oone(tc_RealDef_Oreal))], (2898 ^ _128844) ^ [_222812, _222814, _222816] : [class_Fields_Olinordered__field(_222812), c_Orderings_Oord__class_Oless__eq(_222812, c_Groups_Ozero__class_Ozero(_222812), _222814), c_Orderings_Oord__class_Oless(_222812, _222816, c_Groups_Ozero__class_Ozero(_222812)), -(c_Orderings_Oord__class_Oless__eq(_222812, c_Rings_Oinverse__class_Odivide(_222812, _222814, _222816), c_Groups_Ozero__class_Ozero(_222812)))], (2436 ^ _128844) ^ [_208042, _208044, _208046] : [class_Orderings_Olinorder(_208042), c_Orderings_Oord__class_Oless__eq(_208042, _208044, _208046), 2443 ^ _128844 : [(2450 ^ _128844) ^ [] : [_208044 = _208046, c_Orderings_Oord__class_Oless(_208042, _208044, _208046)], (2444 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_208042, _208044, _208046)), -(_208044 = _208046)]]], (11825 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Int_Oint))], (12149 ^ _128844) ^ [] : [-(class_Groups_Omonoid__add(tc_Complex_Ocomplex))], (3666 ^ _128844) ^ [_247958, _247960] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247958, _247960)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247960, _247958))], (4110 ^ _128844) ^ [_263275, _263277] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _263275, _263277)), -(c_Nat__Transfer_Otsub(_263277, _263275) = c_Groups_Ozero__class_Ozero(tc_Int_Oint))], (864 ^ _128844) ^ [_155934, _155936, _155938, _155940, _155942, _155944] : [-(c_Groups_Oplus__class_Oplus(_155944, _155940, _155936) = c_Groups_Oplus__class_Oplus(_155942, _155938, _155934)), _155944 = _155942, _155940 = _155938, _155936 = _155934], (1052 ^ _128844) ^ [_162845, _162847, _162849] : [class_Groups_Oordered__ab__group__add__abs(_162845), -(c_Orderings_Oord__class_Oless__eq(_162845, c_Groups_Oabs__class_Oabs(_162845, c_Groups_Ominus__class_Ominus(_162845, c_Groups_Oabs__class_Oabs(_162845, _162847), c_Groups_Oabs__class_Oabs(_162845, _162849))), c_Groups_Oabs__class_Oabs(_162845, c_Groups_Ominus__class_Ominus(_162845, _162847, _162849))))], (11899 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat))], (10173 ^ _128844) ^ [_475386, _475388] : [class_Int_Onumber__ring(_475386), -(c_Groups_Otimes__class_Otimes(_475386, c_Int_Onumber__class_Onumber__of(_475386, c_Int_OBit1(c_Int_OPls)), _475388) = _475388)], (11645 ^ _128844) ^ [_525811, _525813, _525815] : [class_Fields_Ofield__inverse__zero(_525811), -(c_Groups_Ouminus__class_Ouminus(_525811, c_Rings_Oinverse__class_Odivide(_525811, _525813, _525815)) = c_Rings_Oinverse__class_Odivide(_525811, _525813, c_Groups_Ouminus__class_Ouminus(_525811, _525815)))], (2318 ^ _128844) ^ [_204389, _204391] : [class_Fields_Olinordered__field__inverse__zero(_204389), class_Int_Onumber__ring(_204389), 2325 ^ _128844 : [(2332 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_204389, c_Groups_Ozero__class_Ozero(_204389), _204391), -(c_Orderings_Oord__class_Oless(_204389, c_Groups_Ozero__class_Ozero(_204389), c_Rings_Oinverse__class_Odivide(_204389, _204391, c_Int_Onumber__class_Onumber__of(_204389, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (2326 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_204389, c_Groups_Ozero__class_Ozero(_204389), c_Rings_Oinverse__class_Odivide(_204389, _204391, c_Int_Onumber__class_Onumber__of(_204389, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), -(c_Orderings_Oord__class_Oless(_204389, c_Groups_Ozero__class_Ozero(_204389), _204391))]]], (6007 ^ _128844) ^ [] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))], (2 ^ _128844) ^ [_128968] : [-(_128968 = _128968)], (12177 ^ _128844) ^ [] : [-(class_Int_Onumber(tc_Complex_Ocomplex))], (5862 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)))], (4214 ^ _128844) ^ [_267287, _267289, _267291, _267293] : [class_Int_Onumber__ring(_267287), -(c_Groups_Oplus__class_Oplus(_267287, c_Int_Onumber__class_Onumber__of(_267287, _267289), c_Groups_Oplus__class_Oplus(_267287, c_Int_Onumber__class_Onumber__of(_267287, _267291), _267293)) = c_Groups_Oplus__class_Oplus(_267287, c_Int_Onumber__class_Onumber__of(_267287, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _267289, _267291)), _267293))], (9917 ^ _128844) ^ [_466609, _466611, _466613, _466615] : [class_Fields_Ofield__inverse__zero(_466609), -(_466611 = c_Groups_Ozero__class_Ozero(_466609)), -(c_Groups_Oplus__class_Oplus(_466609, _466613, c_Rings_Oinverse__class_Odivide(_466609, _466615, _466611)) = c_Rings_Oinverse__class_Odivide(_466609, c_Groups_Oplus__class_Oplus(_466609, _466615, c_Groups_Otimes__class_Otimes(_466609, _466613, _466611)), _466611))], (4336 ^ _128844) ^ [_271723, _271725, _271727, _271729] : [class_Groups_Oordered__ab__semigroup__add(_271723), c_Orderings_Oord__class_Oless__eq(_271723, _271725, _271727), -(c_Orderings_Oord__class_Oless__eq(_271723, c_Groups_Oplus__class_Oplus(_271723, _271729, _271725), c_Groups_Oplus__class_Oplus(_271723, _271729, _271727)))], (11209 ^ _128844) ^ [_509950, _509952] : [11210 ^ _128844 : [(11213 ^ _128844) ^ [] : [_509952 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (11211 ^ _128844) ^ [] : [_509950 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509950, _509952) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (2818 ^ _128844) ^ [_220254, _220256, _220258] : [class_Fields_Olinordered__field(_220254), c_Orderings_Oord__class_Oless__eq(_220254, _220256, c_Groups_Ozero__class_Ozero(_220254)), c_Orderings_Oord__class_Oless(_220254, c_Groups_Ozero__class_Ozero(_220254), _220258), -(c_Orderings_Oord__class_Oless__eq(_220254, c_Rings_Oinverse__class_Odivide(_220254, _220256, _220258), c_Groups_Ozero__class_Ozero(_220254)))], (1445 ^ _128844) ^ [_176523] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _176523, c_Int_OPls), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_176523), c_Int_OPls))], (11975 ^ _128844) ^ [] : [-(class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal))], (12139 ^ _128844) ^ [] : [-(class_Rings_Odivision__ring(tc_Complex_Ocomplex))], (8059 ^ _128844) ^ [] : [c_Complex_Oii = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)], (6895 ^ _128844) ^ [_361233] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _361233, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_361233), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (3196 ^ _128844) ^ [_232669, _232671, _232673] : [class_Fields_Olinordered__field__inverse__zero(_232669), 3199 ^ _128844 : [(3214 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), c_Rings_Oinverse__class_Odivide(_232669, _232671, _232673))), 3215 ^ _128844 : [(3222 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_232669, _232671, c_Groups_Ozero__class_Ozero(_232669)), c_Orderings_Oord__class_Oless__eq(_232669, _232673, c_Groups_Ozero__class_Ozero(_232669))], (3216 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), _232671), c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), _232673)]]], (3200 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), c_Rings_Oinverse__class_Odivide(_232669, _232671, _232673)), 3205 ^ _128844 : [(3208 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), _232673))], (3206 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_232669, c_Groups_Ozero__class_Ozero(_232669), _232671))]], 3209 ^ _128844 : [(3212 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_232669, _232673, c_Groups_Ozero__class_Ozero(_232669)))], (3210 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_232669, _232671, c_Groups_Ozero__class_Ozero(_232669)))]]]]], (224 ^ _128844) ^ [_135641, _135643] : [-(class_Fields_Olinordered__field(_135641)), _135643 = _135641, class_Fields_Olinordered__field(_135643)], (2394 ^ _128844) ^ [_206781, _206783, _206785] : [class_Orderings_Oorder(_206781), c_Orderings_Oord__class_Oless__eq(_206781, _206783, _206785), -(_206785 = _206783), -(c_Orderings_Oord__class_Oless(_206781, _206783, _206785))], (11255 ^ _128844) ^ [_511573, _511575] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit0(_511573), _511575) = c_Int_OBit0(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _511573, _511575)))], (1399 ^ _128844) ^ [_174884, _174886] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit1(_174884), c_Int_OBit0(_174886)) = c_Int_OBit1(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _174884, _174886)))], (848 ^ _128844) ^ [_155301, _155303] : [_155303 = _155301, -(c_Groups_Ozero__class_Ozero(_155303) = c_Groups_Ozero__class_Ozero(_155301))], (1137 ^ _128844) ^ [_165871] : [-(c_Complex_OIm(c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, _165871)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (782 ^ _128844) ^ [_152925, _152927, _152929, _152931] : [-(c_Nat__Transfer_Otsub(_152931, _152927) = c_Nat__Transfer_Otsub(_152929, _152925)), _152931 = _152929, _152927 = _152925], (12039 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal))], (11947 ^ _128844) ^ [] : [-(class_Orderings_Oorder(tc_Nat_Onat))], (6825 ^ _128844) ^ [_359006, _359008] : [c_NthRoot_Osqrt(_359006) = c_NthRoot_Osqrt(_359008), -(_359006 = _359008)], (9587 ^ _128844) ^ [_455355, _455357, _455359, _455361, _455363, _455365] : [class_Rings_Oordered__ring(_455355), 9590 ^ _128844 : [(9597 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_455355, c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, c_Groups_Ominus__class_Ominus(_455355, _455357, _455363), _455359), _455361), _455365), -(c_Orderings_Oord__class_Oless(_455355, c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, _455357, _455359), _455361), c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, _455363, _455359), _455365)))], (9591 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_455355, c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, _455357, _455359), _455361), c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, _455363, _455359), _455365)), -(c_Orderings_Oord__class_Oless(_455355, c_Groups_Oplus__class_Oplus(_455355, c_Groups_Otimes__class_Otimes(_455355, c_Groups_Ominus__class_Ominus(_455355, _455357, _455363), _455359), _455361), _455365))]]], (12157 ^ _128844) ^ [] : [-(class_Rings_Omult__zero(tc_Complex_Ocomplex))], (742 ^ _128844) ^ [_151036, _151038, _151040, _151042, _151044, _151046] : [-(c_Orderings_Oord__class_Oless(_151044, _151040, _151036)), c_Orderings_Oord__class_Oless(_151046, _151042, _151038), _151046 = _151044, _151042 = _151040, _151038 = _151036], (11575 ^ _128844) ^ [_523432, _523434, _523436] : [class_Groups_Oordered__ab__group__add(_523432), c_Orderings_Oord__class_Oless__eq(_523432, _523434, _523436), -(c_Orderings_Oord__class_Oless__eq(_523432, c_Groups_Ouminus__class_Ouminus(_523432, _523436), c_Groups_Ouminus__class_Ouminus(_523432, _523434)))], (4408 ^ _128844) ^ [_274293, _274295, _274297, _274299, _274301] : [class_Groups_Oordered__cancel__ab__semigroup__add(_274293), c_Orderings_Oord__class_Oless(_274293, _274295, _274297), c_Orderings_Oord__class_Oless(_274293, _274299, _274301), -(c_Orderings_Oord__class_Oless(_274293, c_Groups_Oplus__class_Oplus(_274293, _274295, _274299), c_Groups_Oplus__class_Oplus(_274293, _274297, _274301)))], (5078 ^ _128844) ^ [_297952, _297954, _297956, _297958] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _297952, _297954), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _297956, _297954) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _297952, _297958), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _297956, _297958))], (1107 ^ _128844) ^ [_164962, _164964] : [_164962 = _164964, 1110 ^ _128844 : [(1113 ^ _128844) ^ [] : [-(c_Complex_OIm(_164962) = c_Complex_OIm(_164964))], (1111 ^ _128844) ^ [] : [-(c_Complex_ORe(_164962) = c_Complex_ORe(_164964))]]], (10 ^ _128844) ^ [_129279, _129281, _129283] : [-(_129283 = _129279), _129283 = _129281, _129281 = _129279], (4180 ^ _128844) ^ [_265941, _265943, _265945, _265947] : [class_Groups_Ocancel__semigroup__add(_265941), 4183 ^ _128844 : [(4190 ^ _128844) ^ [] : [_265945 = _265947, -(c_Groups_Oplus__class_Oplus(_265941, _265943, _265945) = c_Groups_Oplus__class_Oplus(_265941, _265943, _265947))], (4184 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_265941, _265943, _265945) = c_Groups_Oplus__class_Oplus(_265941, _265943, _265947), -(_265945 = _265947)]]], (4 ^ _128844) ^ [_129075, _129077] : [_129077 = _129075, -(_129075 = _129077)], (10959 ^ _128844) ^ [_500728, _500730, _500732, _500734] : [class_Fields_Olinordered__field__inverse__zero(_500728), class_Int_Onumber(_500728), 10966 ^ _128844 : [(10967 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_500728, c_Rings_Oinverse__class_Odivide(_500728, _500730, _500732), c_Int_Onumber__class_Onumber__of(_500728, _500734)), 10970 ^ _128844 : [(10977 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_500728, c_Groups_Ozero__class_Ozero(_500728), _500732)), 10980 ^ _128844 : [(10987 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_500728, _500732, c_Groups_Ozero__class_Ozero(_500728))), -(c_Orderings_Oord__class_Oless__eq(_500728, c_Groups_Ozero__class_Ozero(_500728), c_Int_Onumber__class_Onumber__of(_500728, _500734)))], (10981 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_500728, _500732, c_Groups_Ozero__class_Ozero(_500728)), -(c_Orderings_Oord__class_Oless__eq(_500728, c_Groups_Otimes__class_Otimes(_500728, c_Int_Onumber__class_Onumber__of(_500728, _500734), _500732), _500730))]]], (10971 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_500728, c_Groups_Ozero__class_Ozero(_500728), _500732), -(c_Orderings_Oord__class_Oless__eq(_500728, _500730, c_Groups_Otimes__class_Otimes(_500728, c_Int_Onumber__class_Onumber__of(_500728, _500734), _500732)))]]], (10993 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_500728, c_Rings_Oinverse__class_Odivide(_500728, _500730, _500732), c_Int_Onumber__class_Onumber__of(_500728, _500734))), 10996 ^ _128844 : [(10999 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_500728, _500730, c_Groups_Otimes__class_Otimes(_500728, c_Int_Onumber__class_Onumber__of(_500728, _500734), _500732))], (10997 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_500728, c_Groups_Ozero__class_Ozero(_500728), _500732))]], 11000 ^ _128844 : [(11003 ^ _128844) ^ [] : [11004 ^ _128844 : [(11007 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_500728, c_Groups_Otimes__class_Otimes(_500728, c_Int_Onumber__class_Onumber__of(_500728, _500734), _500732), _500730)], (11005 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_500728, _500732, c_Groups_Ozero__class_Ozero(_500728)))]], 11008 ^ _128844 : [(11011 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_500728, c_Groups_Ozero__class_Ozero(_500728), c_Int_Onumber__class_Onumber__of(_500728, _500734))], (11009 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_500728, _500732, c_Groups_Ozero__class_Ozero(_500728))]]], (11001 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_500728, c_Groups_Ozero__class_Ozero(_500728), _500732)]]]]], (12029 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_RealDef_Oreal))], (4042 ^ _128844) ^ [_260817, _260819] : [class_RealVector_Oreal__normed__vector(_260817), 4045 ^ _128844 : [(4052 ^ _128844) ^ [] : [_260819 = c_Groups_Ozero__class_Ozero(_260817), -(c_RealVector_Onorm__class_Onorm(_260817, _260819) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (4046 ^ _128844) ^ [] : [c_RealVector_Onorm__class_Onorm(_260817, _260819) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_260819 = c_Groups_Ozero__class_Ozero(_260817))]]], (8239 ^ _128844) ^ [_409994, _409996, _409998] : [class_Rings_Oordered__ring(_409994), c_Orderings_Oord__class_Oless__eq(_409994, _409996, c_Groups_Ozero__class_Ozero(_409994)), c_Orderings_Oord__class_Oless__eq(_409994, _409998, c_Groups_Ozero__class_Ozero(_409994)), -(c_Orderings_Oord__class_Oless__eq(_409994, c_Groups_Ozero__class_Ozero(_409994), c_Groups_Otimes__class_Otimes(_409994, _409996, _409998)))], (624 ^ _128844) ^ [_147441, _147443] : [-(class_Int_Onumber__ring(_147441)), _147443 = _147441, class_Int_Onumber__ring(_147443)], (11711 ^ _128844) ^ [_528083, _528085] : [class_Groups_Ogroup__add(_528083), -(c_Groups_Ouminus__class_Ouminus(_528083, c_Groups_Ouminus__class_Ouminus(_528083, _528085)) = _528085)], (2876 ^ _128844) ^ [_222134, _222136, _222138, _222140, _222142] : [class_Fields_Olinordered__field(_222134), c_Orderings_Oord__class_Oless(_222134, c_Groups_Ozero__class_Ozero(_222134), _222136), c_Orderings_Oord__class_Oless__eq(_222134, _222136, _222138), c_Orderings_Oord__class_Oless(_222134, c_Groups_Ozero__class_Ozero(_222134), _222140), c_Orderings_Oord__class_Oless(_222134, _222140, _222142), -(c_Orderings_Oord__class_Oless(_222134, c_Rings_Oinverse__class_Odivide(_222134, _222136, _222142), c_Rings_Oinverse__class_Odivide(_222134, _222138, _222140)))], (9047 ^ _128844) ^ [_437473, _437475, _437477] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _437473), 9050 ^ _128844 : [(9057 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _437475, _437477), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437475, _437473), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437477, _437473)))], (9051 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437475, _437473), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437477, _437473)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _437475, _437477))]]], (11801 ^ _128844) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint))], (7149 ^ _128844) ^ [_370722, _370724] : [class_Rings_Ocomm__semiring__1(_370722), -(c_Groups_Otimes__class_Otimes(_370722, c_Groups_Oone__class_Oone(_370722), _370724) = _370724)], (11799 ^ _128844) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint))], (6199 ^ _128844) ^ [_338331] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _338331), c_Orderings_Oord__class_Oless(tc_Int_Oint, _338331, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), -(_338331 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(_338331 = c_Groups_Oone__class_Oone(tc_Int_Oint))], (4914 ^ _128844) ^ [_291826, _291828] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _291826, _291828), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _291826, _291828), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _291828))], (1513 ^ _128844) ^ [_178750, _178752] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _178750, _178752), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_178750), c_Int_OBit1(_178752)))], (3326 ^ _128844) ^ [_236716, _236718, _236720] : [class_Fields_Olinordered__field__inverse__zero(_236716), 3329 ^ _128844 : [(3344 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_236716, c_Rings_Oinverse__class_Odivide(_236716, _236718, _236720), c_Groups_Ozero__class_Ozero(_236716))), 3345 ^ _128844 : [(3352 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_236716, _236718, c_Groups_Ozero__class_Ozero(_236716)), c_Orderings_Oord__class_Oless(_236716, c_Groups_Ozero__class_Ozero(_236716), _236720)], (3346 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_236716, c_Groups_Ozero__class_Ozero(_236716), _236718), c_Orderings_Oord__class_Oless(_236716, _236720, c_Groups_Ozero__class_Ozero(_236716))]]], (3330 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_236716, c_Rings_Oinverse__class_Odivide(_236716, _236718, _236720), c_Groups_Ozero__class_Ozero(_236716)), 3335 ^ _128844 : [(3338 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_236716, _236720, c_Groups_Ozero__class_Ozero(_236716)))], (3336 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_236716, c_Groups_Ozero__class_Ozero(_236716), _236718))]], 3339 ^ _128844 : [(3342 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_236716, c_Groups_Ozero__class_Ozero(_236716), _236720))], (3340 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_236716, _236718, c_Groups_Ozero__class_Ozero(_236716)))]]]]], (1081 ^ _128844) ^ [_164112, _164114, _164116] : [class_Int_Onumber(_164112), class_Orderings_Olinorder(_164112), 1088 ^ _128844 : [(1095 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_164112, c_Int_Onumber__class_Onumber__of(_164112, _164116), c_Int_Onumber__class_Onumber__of(_164112, _164114))), -(c_Orderings_Oord__class_Oless__eq(_164112, c_Int_Onumber__class_Onumber__of(_164112, _164114), c_Int_Onumber__class_Onumber__of(_164112, _164116)))], (1089 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_164112, c_Int_Onumber__class_Onumber__of(_164112, _164114), c_Int_Onumber__class_Onumber__of(_164112, _164116)), c_Orderings_Oord__class_Oless(_164112, c_Int_Onumber__class_Onumber__of(_164112, _164116), c_Int_Onumber__class_Onumber__of(_164112, _164114))]]], (5940 ^ _128844) ^ [_329661] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _329661), _329661), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _329661, c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (5032 ^ _128844) ^ [_296197, _296199] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _296197, _296199) = _296197, -(_296199 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (11193 ^ _128844) ^ [_509366, _509368, _509370] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509366, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _509368, _509370)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509366, _509368), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509366, _509370)))], (9131 ^ _128844) ^ [_440406, _440408, _440410] : [class_Fields_Olinordered__field(_440406), c_Orderings_Oord__class_Oless__eq(_440406, c_Rings_Oinverse__class_Oinverse(_440406, _440408), c_Rings_Oinverse__class_Oinverse(_440406, _440410)), c_Orderings_Oord__class_Oless(_440406, c_Groups_Ozero__class_Ozero(_440406), _440408), -(c_Orderings_Oord__class_Oless__eq(_440406, _440410, _440408))], (5639 ^ _128844) ^ [_319205, _319207] : [class_Int_Onumber__ring(_319205), -(c_Groups_Oplus__class_Oplus(_319205, c_Groups_Oone__class_Oone(_319205), c_Int_Onumber__class_Onumber__of(_319205, _319207)) = c_Int_Onumber__class_Onumber__of(_319205, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _319207)))], (11965 ^ _128844) ^ [] : [-(class_Orderings_Oord(tc_HOL_Obool))], (11639 ^ _128844) ^ [_525555, _525557, _525559] : [class_RealVector_Oreal__normed__field(_525555), -(c_Rings_Oinverse__class_Odivide(_525555, c_Groups_Ouminus__class_Ouminus(_525555, _525557), _525559) = c_Groups_Ouminus__class_Ouminus(_525555, c_Rings_Oinverse__class_Odivide(_525555, _525557, _525559)))], (4016 ^ _128844) ^ [_259710] : [-(c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _259710) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _259710))], (7551 ^ _128844) ^ [_387205, _387207, _387209] : [-(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _387205, _387207), _387209) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _387205, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _387207, _387209)))], (3768 ^ _128844) ^ [_251346, _251348, _251350] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _251346, _251348), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _251350, _251348), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _251350, _251346)))], (11153 ^ _128844) ^ [_507411, _507413, _507415, _507417] : [-(c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507411, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507413, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507415, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507417, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507411, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507413, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507415, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507417, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))], (1519 ^ _128844) ^ [_179003, _179005] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_179003), c_Int_OBit1(_179005)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _179003, _179005))], (11449 ^ _128844) ^ [_519433] : [-(c_Transcendental_Oarctan(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _519433)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Transcendental_Oarctan(_519433)))], (1349 ^ _128844) ^ [_173112, _173114] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_173112), c_Int_OBit0(_173114)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _173112, _173114))], (7241 ^ _128844) ^ [_374944, _374946, _374948, _374950, _374952] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_374944), 7244 ^ _128844 : [(7245 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_374944, c_Groups_Otimes__class_Otimes(_374944, _374946, _374948), c_Groups_Otimes__class_Otimes(_374944, _374950, _374952)) = c_Groups_Oplus__class_Oplus(_374944, c_Groups_Otimes__class_Otimes(_374944, _374946, _374952), c_Groups_Otimes__class_Otimes(_374944, _374950, _374948)), -(_374946 = _374950), -(_374948 = _374952)], (7255 ^ _128844) ^ [] : [7256 ^ _128844 : [(7259 ^ _128844) ^ [] : [_374948 = _374952], (7257 ^ _128844) ^ [] : [_374946 = _374950]], -(c_Groups_Oplus__class_Oplus(_374944, c_Groups_Otimes__class_Otimes(_374944, _374946, _374948), c_Groups_Otimes__class_Otimes(_374944, _374950, _374952)) = c_Groups_Oplus__class_Oplus(_374944, c_Groups_Otimes__class_Otimes(_374944, _374946, _374952), c_Groups_Otimes__class_Otimes(_374944, _374950, _374948)))]]], (1557 ^ _128844) ^ [_180259] : [class_Int_Onumber__ring(_180259), -(c_Int_Onumber__class_Onumber__of(_180259, c_Int_OPls) = c_Groups_Ozero__class_Ozero(_180259))], (5587 ^ _128844) ^ [_317148, _317150, _317152] : [-(hBOOL(hAPP(_317148, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _317150, _317152)))), 5590 ^ _128844 : [(5593 ^ _128844) ^ [] : [hBOOL(hAPP(_317148, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))], (5591 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317150, _317152))]], 5595 ^ _128844 : [(5598 ^ _128844) ^ [] : [hBOOL(hAPP(_317148, 5594 ^ [_317148, _317150, _317152]))], (5596 ^ _128844) ^ [] : [-(_317150 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317152, 5594 ^ [_317148, _317150, _317152]))]]], (1021 ^ _128844) ^ [_161732, _161734] : [-(c_Rings_Oinverse__class_Odivide(_161732, _161734, c_Int_Onumber__class_Onumber__of(_161732, c_Int_OBit1(c_Int_OPls))) = _161734), class_Fields_Ofield(_161732), class_Int_Onumber__ring(_161732)], (2274 ^ _128844) ^ [_202942, _202944] : [c_Int_OBit1(_202942) = c_Int_OBit1(_202944), -(_202942 = _202944)], (11869 ^ _128844) ^ [] : [-(class_Int_Onumber__ring(tc_Int_Oint))], (594 ^ _128844) ^ [_146556, _146558] : [-(class_Groups_Ogroup__add(_146556)), _146558 = _146556, class_Groups_Ogroup__add(_146558)], (5192 ^ _128844) ^ [_302455, _302457, _302459] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302455, _302457), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302455, _302459), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302457, _302459)))], (6267 ^ _128844) ^ [_340563, _340565, _340567] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _340563), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _340563, _340565), c_Power_Opower__class_Opower(tc_Nat_Onat, _340563, _340567)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _340565, _340567))], (11679 ^ _128844) ^ [_527085, _527087, _527089] : [class_Groups_Ogroup__add(_527085), 11682 ^ _128844 : [(11689 ^ _128844) ^ [] : [c_Groups_Ouminus__class_Ouminus(_527085, _527089) = _527087, -(c_Groups_Ouminus__class_Ouminus(_527085, _527087) = _527089)], (11683 ^ _128844) ^ [] : [c_Groups_Ouminus__class_Ouminus(_527085, _527087) = _527089, -(c_Groups_Ouminus__class_Ouminus(_527085, _527089) = _527087)]]], (9075 ^ _128844) ^ [_438411, _438413] : [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _438411, _438411), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _438413, _438413)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 9078 ^ _128844 : [(9081 ^ _128844) ^ [] : [-(_438413 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (9079 ^ _128844) ^ [] : [-(_438411 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))]]], (3292 ^ _128844) ^ [_235679, _235681, _235683] : [class_Fields_Olinordered__field__inverse__zero(_235679), 3295 ^ _128844 : [(3310 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), c_Rings_Oinverse__class_Odivide(_235679, _235681, _235683))), 3311 ^ _128844 : [(3318 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_235679, _235681, c_Groups_Ozero__class_Ozero(_235679)), c_Orderings_Oord__class_Oless(_235679, _235683, c_Groups_Ozero__class_Ozero(_235679))], (3312 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), _235681), c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), _235683)]]], (3296 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), c_Rings_Oinverse__class_Odivide(_235679, _235681, _235683)), 3301 ^ _128844 : [(3304 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), _235683))], (3302 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_235679, c_Groups_Ozero__class_Ozero(_235679), _235681))]], 3305 ^ _128844 : [(3308 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_235679, _235683, c_Groups_Ozero__class_Ozero(_235679)))], (3306 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_235679, _235681, c_Groups_Ozero__class_Ozero(_235679)))]]]]], (694 ^ _128844) ^ [_149506, _149508] : [-(class_Rings_Oidom(_149506)), _149508 = _149506, class_Rings_Oidom(_149508)], (7633 ^ _128844) ^ [_390130, _390132] : [class_RealVector_Oreal__normed__algebra(_390130), -(c_Groups_Otimes__class_Otimes(_390130, c_Groups_Ozero__class_Ozero(_390130), _390132) = c_Groups_Ozero__class_Ozero(_390130))], (7449 ^ _128844) ^ [_383460, _383462, _383464] : [class_Rings_Odivision__ring(_383460), -(_383462 = c_Groups_Ozero__class_Ozero(_383460)), -(_383464 = c_Groups_Ozero__class_Ozero(_383460)), -(c_Groups_Ominus__class_Ominus(_383460, c_Rings_Oinverse__class_Oinverse(_383460, _383462), c_Rings_Oinverse__class_Oinverse(_383460, _383464)) = c_Groups_Otimes__class_Otimes(_383460, c_Groups_Otimes__class_Otimes(_383460, c_Rings_Oinverse__class_Oinverse(_383460, _383462), c_Groups_Ominus__class_Ominus(_383460, _383464, _383462)), c_Rings_Oinverse__class_Oinverse(_383460, _383464)))], (8961 ^ _128844) ^ [_434445, _434447, _434449, _434451] : [class_Rings_Odivision__ring(_434445), -(_434447 = c_Groups_Ozero__class_Ozero(_434445)), 8968 ^ _128844 : [(8975 ^ _128844) ^ [] : [_434449 = c_Groups_Otimes__class_Otimes(_434445, _434451, _434447), -(c_Rings_Oinverse__class_Odivide(_434445, _434449, _434447) = _434451)], (8969 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_434445, _434449, _434447) = _434451, -(_434449 = c_Groups_Otimes__class_Otimes(_434445, _434451, _434447))]]], (11997 ^ _128844) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal))], (11981 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal))], (4102 ^ _128844) ^ [_262934, _262936] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _262934, _262936)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(_262934), c_Complex_ORe(_262936))), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(_262934), c_Complex_OIm(_262936))))))], (10799 ^ _128844) ^ [_495465, _495467] : [class_Groups_Omonoid__mult(_495465), -(c_Power_Opower__class_Opower(_495465, _495467, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_495465, c_Groups_Otimes__class_Otimes(_495465, _495467, _495467), _495467))], (684 ^ _128844) ^ [_149211, _149213] : [-(class_Rings_Oring(_149211)), _149213 = _149211, class_Rings_Oring(_149213)], (3264 ^ _128844) ^ [_234757, _234759, _234761, _234763] : [class_Fields_Olinordered__field__inverse__zero(_234757), c_Orderings_Oord__class_Oless__eq(_234757, _234759, _234761), c_Orderings_Oord__class_Oless__eq(_234757, c_Groups_Ozero__class_Ozero(_234757), _234763), -(c_Orderings_Oord__class_Oless__eq(_234757, c_Rings_Oinverse__class_Odivide(_234757, _234759, _234763), c_Rings_Oinverse__class_Odivide(_234757, _234761, _234763)))], (11931 ^ _128844) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Nat_Onat))], (6837 ^ _128844) ^ [_359411] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_359411)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _359411))], (3672 ^ _128844) ^ [_248144] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _248144, _248144))], (7391 ^ _128844) ^ [_381276, _381278, _381280, _381282] : [class_Rings_Odivision__ring(_381276), -(c_Groups_Otimes__class_Otimes(_381276, _381278, c_Rings_Oinverse__class_Odivide(_381276, _381280, _381282)) = c_Rings_Oinverse__class_Odivide(_381276, c_Groups_Otimes__class_Otimes(_381276, _381278, _381280), _381282))], (3588 ^ _128844) ^ [_245294, _245296, _245298] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _245294, _245296), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _245294, _245298), _245296))], (5253 ^ _128844) ^ [_304929] : [class_Rings_Olinordered__idom(_304929), -(c_Groups_Oabs__class_Oabs(_304929, c_Groups_Oone__class_Oone(_304929)) = c_Groups_Oone__class_Oone(_304929))], (7473 ^ _128844) ^ [_384263, _384265, _384267] : [class_RealVector_Oreal__normed__div__algebra(_384263), -(c_RealVector_Onorm__class_Onorm(_384263, c_Groups_Otimes__class_Otimes(_384263, _384265, _384267)) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_384263, _384265), c_RealVector_Onorm__class_Onorm(_384263, _384267)))], (12007 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__field(tc_RealDef_Oreal))], (5130 ^ _128844) ^ [_299945, _299947] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299945, _299947), _299945)], (11889 ^ _128844) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat))], (7317 ^ _128844) ^ [_377862, _377864, _377866] : [class_Rings_Odivision__ring(_377862), -(_377864 = c_Groups_Ozero__class_Ozero(_377862)), -(_377866 = c_Groups_Ozero__class_Ozero(_377862)), -(c_Groups_Oplus__class_Oplus(_377862, c_Rings_Oinverse__class_Oinverse(_377862, _377864), c_Rings_Oinverse__class_Oinverse(_377862, _377866)) = c_Groups_Otimes__class_Otimes(_377862, c_Groups_Otimes__class_Otimes(_377862, c_Rings_Oinverse__class_Oinverse(_377862, _377864), c_Groups_Oplus__class_Oplus(_377862, _377864, _377866)), c_Rings_Oinverse__class_Oinverse(_377862, _377866)))], (2968 ^ _128844) ^ [_225166, _225168] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _225166, _225168), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _225166, _225168), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (5437 ^ _128844) ^ [_311562, _311564, _311566] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _311562, _311564), _311566), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _311562, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311566, _311564)))], (9093 ^ _128844) ^ [_438996, _438998, _439000] : [-(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, hAPP(_438996, _438998), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, hAPP(_438996, _439000), hAPP(_438996, _438998)), c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _439000, _438998)), _438998)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, hAPP(_438996, _439000), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, hAPP(_438996, _439000), hAPP(_438996, _438998)), c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _439000, _438998)), _439000)))], (11403 ^ _128844) ^ [_517909, _517911] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _517909, _517911) = c_Groups_Oone__class_Oone(tc_Nat_Onat)), _517909 = c_Groups_Oone__class_Oone(tc_Nat_Onat), _517911 = c_Groups_Oone__class_Oone(tc_Nat_Onat)], (1355 ^ _128844) ^ [_173286, _173288] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _173286, _173288), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_173286), c_Int_OBit0(_173288)))], (11857 ^ _128844) ^ [] : [-(class_Rings_Osemiring__1(tc_Int_Oint))], (11951 ^ _128844) ^ [] : [-(class_Orderings_Oord(tc_Nat_Onat))], (11199 ^ _128844) ^ [_509690, _509692] : [c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509690, _509692) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(_509690 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(_509692 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (11543 ^ _128844) ^ [_522408, _522410, _522412] : [class_Groups_Oordered__ab__group__add(_522408), 11546 ^ _128844 : [(11553 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_522408, c_Groups_Ouminus__class_Ouminus(_522408, _522412), _522410), -(c_Orderings_Oord__class_Oless__eq(_522408, c_Groups_Ouminus__class_Ouminus(_522408, _522410), _522412))], (11547 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_522408, c_Groups_Ouminus__class_Ouminus(_522408, _522410), _522412), -(c_Orderings_Oord__class_Oless__eq(_522408, c_Groups_Ouminus__class_Ouminus(_522408, _522412), _522410))]]], (11309 ^ _128844) ^ [_514126, _514128, _514130] : [class_Rings_Oring(_514126), -(c_Groups_Ouminus__class_Ouminus(_514126, c_Groups_Otimes__class_Otimes(_514126, _514128, _514130)) = c_Groups_Otimes__class_Otimes(_514126, c_Groups_Ouminus__class_Ouminus(_514126, _514128), _514130))], (3946 ^ _128844) ^ [_257361, _257363] : [-(c_RealVector_Onorm__class_Onorm(_257361, c_Int_Onumber__class_Onumber__of(_257361, _257363)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, _257363))), class_Int_Onumber__ring(_257361), class_RealVector_Oreal__normed__algebra__1(_257361)], (2090 ^ _128844) ^ [_197215, _197217, _197219] : [class_Orderings_Opreorder(_197215), c_Orderings_Oord__class_Oless(_197215, _197217, _197219), c_Orderings_Oord__class_Oless(_197215, _197219, _197217)], (454 ^ _128844) ^ [_142426, _142428] : [-(class_Groups_Ocomm__monoid__mult(_142426)), _142428 = _142426, class_Groups_Ocomm__monoid__mult(_142428)], (12175 ^ _128844) ^ [] : [-(class_Rings_Oidom(tc_Complex_Ocomplex))], (12073 ^ _128844) ^ [] : [-(class_Rings_Omult__zero(tc_RealDef_Oreal))], (3674 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (74 ^ _128844) ^ [_131216, _131218] : [-(class_Rings_Olinordered__comm__semiring__strict(_131216)), _131218 = _131216, class_Rings_Olinordered__comm__semiring__strict(_131218)], (94 ^ _128844) ^ [_131806, _131808] : [-(class_Rings_Olinordered__semiring__1__strict(_131806)), _131808 = _131806, class_Rings_Olinordered__semiring__1__strict(_131808)], (5150 ^ _128844) ^ [_300807, _300809, _300811] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _300807, _300809), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _300807, _300811), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _300809, _300811)))], (7437 ^ _128844) ^ [_382987, _382989, _382991] : [-(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _382987, _382989), _382991) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382987, _382991), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382989, _382991)))], (6785 ^ _128844) ^ [_357558, _357560] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _357558, _357560), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_357558), c_NthRoot_Osqrt(_357560)))], (2754 ^ _128844) ^ [_217984] : [c_Int_OBit1(_217984) = c_Int_OPls], (6155 ^ _128844) ^ [_336876] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _336876)))], (1325 ^ _128844) ^ [_172312] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_172312), c_Int_OPls), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _172312, c_Int_OPls))], (7939 ^ _128844) ^ [_400372, _400374] : [class_Fields_Olinordered__field(_400372), c_Orderings_Oord__class_Oless(_400372, c_Rings_Oinverse__class_Oinverse(_400372, _400374), c_Groups_Ozero__class_Ozero(_400372)), -(_400374 = c_Groups_Ozero__class_Ozero(_400372)), -(c_Orderings_Oord__class_Oless(_400372, _400374, c_Groups_Ozero__class_Ozero(_400372)))], (4556 ^ _128844) ^ [_279655, _279657, _279659] : [class_Groups_Oordered__comm__monoid__add(_279655), c_Orderings_Oord__class_Oless__eq(_279655, c_Groups_Ozero__class_Ozero(_279655), _279657), c_Orderings_Oord__class_Oless__eq(_279655, c_Groups_Ozero__class_Ozero(_279655), _279659), -(c_Orderings_Oord__class_Oless__eq(_279655, c_Groups_Ozero__class_Ozero(_279655), c_Groups_Oplus__class_Oplus(_279655, _279657, _279659)))], (11923 ^ _128844) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Nat_Onat))], (7651 ^ _128844) ^ [_390802, _390804] : [class_RealVector_Oreal__normed__algebra(_390802), -(c_Groups_Otimes__class_Otimes(_390802, _390804, c_Groups_Ozero__class_Ozero(_390802)) = c_Groups_Ozero__class_Ozero(_390802))], (1139 ^ _128844) ^ [_165983, _165985] : [class_Groups_Ozero(_165983), 1142 ^ _128844 : [(1149 ^ _128844) ^ [] : [_165985 = c_Groups_Ozero__class_Ozero(_165983), -(c_Groups_Ozero__class_Ozero(_165983) = _165985)], (1143 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(_165983) = _165985, -(_165985 = c_Groups_Ozero__class_Ozero(_165983))]]], (11759 ^ _128844) ^ [_529988] : [-(c_NthRoot_Osqrt(c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _529988)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_NthRoot_Osqrt(_529988)))], (3756 ^ _128844) ^ [_250854, _250856] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _250854, _250856), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250856, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _250856, _250854)) = _250854)], (9379 ^ _128844) ^ [_448174, _448176, _448178, _448180] : [class_Rings_Olinordered__semiring(_448174), c_Orderings_Oord__class_Oless(_448174, c_Groups_Otimes__class_Otimes(_448174, _448176, _448178), c_Groups_Otimes__class_Otimes(_448174, _448180, _448178)), c_Orderings_Oord__class_Oless__eq(_448174, c_Groups_Ozero__class_Ozero(_448174), _448178), -(c_Orderings_Oord__class_Oless(_448174, _448176, _448180))], (1721 ^ _128844) ^ [_185311, _185313, _185315] : [class_Orderings_Olinorder(_185311), -(c_Orderings_Oord__class_Oless__eq(_185311, _185313, _185315)), -(c_Orderings_Oord__class_Oless__eq(_185311, _185315, _185313))], (6031 ^ _128844) ^ [_332795] : [class_Rings_Osemiring__1(_332795), -(c_Power_Opower__class_Opower(_332795, c_Groups_Ozero__class_Ozero(_332795), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_332795))], (2190 ^ _128844) ^ [_200286, _200288, _200290] : [class_Orderings_Olinorder(_200286), 2193 ^ _128844 : [(2194 ^ _128844) ^ [] : [-(_200288 = _200290), -(c_Orderings_Oord__class_Oless(_200286, _200288, _200290)), -(c_Orderings_Oord__class_Oless(_200286, _200290, _200288))], (2204 ^ _128844) ^ [] : [2205 ^ _128844 : [(2208 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_200286, _200290, _200288)], (2206 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_200286, _200288, _200290)]], _200288 = _200290]]], (3928 ^ _128844) ^ [_256730, _256732] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _256730, _256732)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _256730, _256732), -(_256730 = _256732)], (6913 ^ _128844) ^ [_361828] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _361828), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(_361828)))], (11915 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Nat_Onat))], (2786 ^ _128844) ^ [] : [-(c_Int_OBit0(c_Int_OPls) = c_Int_OPls)], (10089 ^ _128844) ^ [_472279, _472281, _472283, _472285] : [class_Fields_Ofield__inverse__zero(_472279), class_Int_Onumber(_472279), 10096 ^ _128844 : [(10097 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_472279, _472281, c_Int_Onumber__class_Onumber__of(_472279, _472283)) = _472285, 10100 ^ _128844 : [(10107 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_472279, _472283) = c_Groups_Ozero__class_Ozero(_472279), -(_472285 = c_Groups_Ozero__class_Ozero(_472279))], (10101 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(_472279, _472283) = c_Groups_Ozero__class_Ozero(_472279)), -(_472281 = c_Groups_Otimes__class_Otimes(_472279, _472285, c_Int_Onumber__class_Onumber__of(_472279, _472283)))]]], (10113 ^ _128844) ^ [] : [-(c_Rings_Oinverse__class_Odivide(_472279, _472281, c_Int_Onumber__class_Onumber__of(_472279, _472283)) = _472285), 10116 ^ _128844 : [(10119 ^ _128844) ^ [] : [_472281 = c_Groups_Otimes__class_Otimes(_472279, _472285, c_Int_Onumber__class_Onumber__of(_472279, _472283))], (10117 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_472279, _472283) = c_Groups_Ozero__class_Ozero(_472279)]], 10120 ^ _128844 : [(10123 ^ _128844) ^ [] : [_472285 = c_Groups_Ozero__class_Ozero(_472279)], (10121 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(_472279, _472283) = c_Groups_Ozero__class_Ozero(_472279))]]]]], (5261 ^ _128844) ^ [_305232, _305234] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305232, _305234), _305232) = _305234)], (11315 ^ _128844) ^ [_514382, _514384, _514386] : [class_Rings_Oring(_514382), -(c_Groups_Otimes__class_Otimes(_514382, c_Groups_Ouminus__class_Ouminus(_514382, _514384), _514386) = c_Groups_Otimes__class_Otimes(_514382, _514384, c_Groups_Ouminus__class_Ouminus(_514382, _514386)))], (3876 ^ _128844) ^ [_254982, _254984] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254982, _254984), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _254982, _254984) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (10359 ^ _128844) ^ [_481349, _481351, _481353, _481355] : [class_Fields_Olinordered__field__inverse__zero(_481349), 10362 ^ _128844 : [(10363 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_481349, c_Rings_Oinverse__class_Odivide(_481349, _481351, _481353), _481355), 10366 ^ _128844 : [(10373 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_481349, c_Groups_Ozero__class_Ozero(_481349), _481353)), 10376 ^ _128844 : [(10383 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_481349, _481353, c_Groups_Ozero__class_Ozero(_481349))), -(c_Orderings_Oord__class_Oless__eq(_481349, c_Groups_Ozero__class_Ozero(_481349), _481355))], (10377 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_481349, _481353, c_Groups_Ozero__class_Ozero(_481349)), -(c_Orderings_Oord__class_Oless__eq(_481349, c_Groups_Otimes__class_Otimes(_481349, _481355, _481353), _481351))]]], (10367 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_481349, c_Groups_Ozero__class_Ozero(_481349), _481353), -(c_Orderings_Oord__class_Oless__eq(_481349, _481351, c_Groups_Otimes__class_Otimes(_481349, _481355, _481353)))]]], (10389 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_481349, c_Rings_Oinverse__class_Odivide(_481349, _481351, _481353), _481355)), 10392 ^ _128844 : [(10395 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_481349, _481351, c_Groups_Otimes__class_Otimes(_481349, _481355, _481353))], (10393 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_481349, c_Groups_Ozero__class_Ozero(_481349), _481353))]], 10396 ^ _128844 : [(10399 ^ _128844) ^ [] : [10400 ^ _128844 : [(10403 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_481349, c_Groups_Otimes__class_Otimes(_481349, _481355, _481353), _481351)], (10401 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_481349, _481353, c_Groups_Ozero__class_Ozero(_481349)))]], 10404 ^ _128844 : [(10407 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_481349, c_Groups_Ozero__class_Ozero(_481349), _481355)], (10405 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_481349, _481353, c_Groups_Ozero__class_Ozero(_481349))]]], (10397 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_481349, c_Groups_Ozero__class_Ozero(_481349), _481353)]]]]], (812 ^ _128844) ^ [_154018, _154020, _154022, _154024] : [-(c_Rings_Oinverse__class_Oinverse(_154024, _154020) = c_Rings_Oinverse__class_Oinverse(_154022, _154018)), _154024 = _154022, _154020 = _154018], (1373 ^ _128844) ^ [_173966, _173968] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_173966), c_Int_OBit1(_173968)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _173966, _173968))], (7361 ^ _128844) ^ [_379836, _379838, _379840, _379842] : [class_RealVector_Oreal__normed__algebra(_379836), -(c_Groups_Otimes__class_Otimes(_379836, c_Groups_Oplus__class_Oplus(_379836, _379838, _379840), _379842) = c_Groups_Oplus__class_Oplus(_379836, c_Groups_Otimes__class_Otimes(_379836, _379838, _379842), c_Groups_Otimes__class_Otimes(_379836, _379840, _379842)))], (10819 ^ _128844) ^ [_496152, _496154] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _496152, _496152), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _496154, _496154)))))], (3576 ^ _128844) ^ [_244854, _244856] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _244854, _244856), _244856 = _244854], (1925 ^ _128844) ^ [_191844, _191846, _191848, _191850] : [class_Orderings_Oord(_191844), 1928 ^ _128844 : [(1935 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_191844, hAPP(_191848, 1936 ^ [_191844, _191846, _191848, _191850]), hAPP(_191850, 1936 ^ [_191844, _191846, _191848, _191850])), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_191846, _191844), _191848, _191850))], (1929 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_191846, _191844), _191848, _191850), 1932 ^ _128844 : [(1933 ^ _128844) ^ [_192103] : [-(c_Orderings_Oord__class_Oless__eq(_191844, hAPP(_191848, _192103), hAPP(_191850, _192103)))]]]]], (2544 ^ _128844) ^ [_211368, _211370, _211372] : [class_Orderings_Oorder(_211368), 2547 ^ _128844 : [(2548 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_211368, _211370, _211372), -(c_Orderings_Oord__class_Oless(_211368, _211370, _211372)), -(_211370 = _211372)], (2558 ^ _128844) ^ [] : [2559 ^ _128844 : [(2562 ^ _128844) ^ [] : [_211370 = _211372], (2560 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_211368, _211370, _211372)]], -(c_Orderings_Oord__class_Oless__eq(_211368, _211370, _211372))]]], (7167 ^ _128844) ^ [_371486, _371488, _371490, _371492] : [class_Groups_Ocomm__monoid__mult(_371486), -(c_Power_Opower__class_Opower(_371486, c_Groups_Otimes__class_Otimes(_371486, _371488, _371490), _371492) = c_Groups_Otimes__class_Otimes(_371486, c_Power_Opower__class_Opower(_371486, _371488, _371492), c_Power_Opower__class_Opower(_371486, _371490, _371492)))], (10479 ^ _128844) ^ [_485219, _485221, _485223, _485225] : [class_Fields_Olinordered__field(_485219), c_Orderings_Oord__class_Oless(_485219, _485221, c_Groups_Ozero__class_Ozero(_485219)), 10486 ^ _128844 : [(10493 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_485219, _485225, c_Groups_Otimes__class_Otimes(_485219, _485223, _485221)), -(c_Orderings_Oord__class_Oless__eq(_485219, _485223, c_Rings_Oinverse__class_Odivide(_485219, _485225, _485221)))], (10487 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_485219, _485223, c_Rings_Oinverse__class_Odivide(_485219, _485225, _485221)), -(c_Orderings_Oord__class_Oless__eq(_485219, _485225, c_Groups_Otimes__class_Otimes(_485219, _485223, _485221)))]]], (5836 ^ _128844) ^ [_326011, _326013, _326015] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326011, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326013, _326015)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326013, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326011, _326015)))], (4372 ^ _128844) ^ [_273001, _273003, _273005, _273007] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_273001), 4375 ^ _128844 : [(4382 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_273001, _273003, _273007), -(c_Orderings_Oord__class_Oless__eq(_273001, c_Groups_Oplus__class_Oplus(_273001, _273003, _273005), c_Groups_Oplus__class_Oplus(_273001, _273007, _273005)))], (4376 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_273001, c_Groups_Oplus__class_Oplus(_273001, _273003, _273005), c_Groups_Oplus__class_Oplus(_273001, _273007, _273005)), -(c_Orderings_Oord__class_Oless__eq(_273001, _273003, _273007))]]], (3902 ^ _128844) ^ [_255913, _255915] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _255913, _255915), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _255913, _255915)), -(_255913 = _255915)], (3112 ^ _128844) ^ [] : [-(c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls))], (970 ^ _128844) ^ [_159762, _159764, _159766, _159768] : [-(c_Int_Onumber__class_Onumber__of(_159768, _159764) = c_Int_Onumber__class_Onumber__of(_159766, _159762)), _159768 = _159766, _159764 = _159762], (12159 ^ _128844) ^ [] : [-(class_Int_Oring__char__0(tc_Complex_Ocomplex))], (7859 ^ _128844) ^ [_397870] : [class_Rings_Odivision__ring(_397870), -(c_Rings_Oinverse__class_Oinverse(_397870, c_Groups_Oone__class_Oone(_397870)) = c_Groups_Oone__class_Oone(_397870))], (4092 ^ _128844) ^ [_262501] : [4095 ^ _128844 : [(4098 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(_262501, 4093 ^ [_262501]), hAPP(_262501, 4094 ^ [_262501]))], (4096 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, 4093 ^ [_262501], 4094 ^ [_262501]))]], -(c_SEQ_Osubseq(_262501))], (12025 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal))], (11617 ^ _128844) ^ [_524793, _524795, _524797] : [class_Groups_Oordered__ab__group__add(_524793), 11620 ^ _128844 : [(11627 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_524793, _524797, _524795), -(c_Orderings_Oord__class_Oless(_524793, c_Groups_Ouminus__class_Ouminus(_524793, _524795), c_Groups_Ouminus__class_Ouminus(_524793, _524797)))], (11621 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_524793, c_Groups_Ouminus__class_Ouminus(_524793, _524795), c_Groups_Ouminus__class_Ouminus(_524793, _524797)), -(c_Orderings_Oord__class_Oless(_524793, _524797, _524795))]]], (12051 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring(tc_RealDef_Oreal))], (11967 ^ _128844) ^ [] : [-(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal))], (4908 ^ _128844) ^ [_291600, _291602] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _291600, _291602), -(c_Nat__Transfer_Otsub(_291602, _291600) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _291602, _291600))], (424 ^ _128844) ^ [_141541, _141543] : [-(class_Groups_Ocancel__semigroup__add(_141541)), _141543 = _141541, class_Groups_Ocancel__semigroup__add(_141543)], (10211 ^ _128844) ^ [_476666, _476668, _476670] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _476666, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _476668), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476666, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _476670))), -(_476668 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (6755 ^ _128844) ^ [_356458, _356460] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _356458, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _356458, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _356460, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (12041 ^ _128844) ^ [] : [-(class_Rings_Olinordered__ring(tc_RealDef_Oreal))], (7531 ^ _128844) ^ [_386310, _386312, _386314, _386316] : [class_Int_Onumber__ring(_386310), -(c_Groups_Otimes__class_Otimes(_386310, c_Int_Onumber__class_Onumber__of(_386310, _386312), c_Groups_Otimes__class_Otimes(_386310, c_Int_Onumber__class_Onumber__of(_386310, _386314), _386316)) = c_Groups_Otimes__class_Otimes(_386310, c_Int_Onumber__class_Onumber__of(_386310, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _386312, _386314)), _386316))], (5170 ^ _128844) ^ [_301602, _301604, _301606] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _301602, _301604), _301606), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _301602, _301606))], (11089 ^ _128844) ^ [_504941, _504943] : [class_Rings_Ocomm__semiring__1(_504941), -(c_Groups_Otimes__class_Otimes(_504941, _504943, _504943) = c_Power_Opower__class_Opower(_504941, _504943, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (11873 ^ _128844) ^ [] : [-(class_Orderings_Oord(tc_Int_Oint))], (8783 ^ _128844) ^ [_428193, _428195] : [class_Rings_Ocomm__semiring__1(_428193), -(c_Groups_Oplus__class_Oplus(_428193, _428195, _428195) = c_Groups_Otimes__class_Otimes(_428193, c_Groups_Oplus__class_Oplus(_428193, c_Groups_Oone__class_Oone(_428193), c_Groups_Oone__class_Oone(_428193)), _428195))], (7055 ^ _128844) ^ [_367099, _367101, _367103, _367105] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _367099, _367101), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _367103, _367105), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367099, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367103, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367101, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367105, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))))], (7397 ^ _128844) ^ [_381570, _381572, _381574, _381576, _381578] : [class_Fields_Ofield__inverse__zero(_381570), -(c_Groups_Otimes__class_Otimes(_381570, c_Rings_Oinverse__class_Odivide(_381570, _381572, _381574), c_Rings_Oinverse__class_Odivide(_381570, _381576, _381578)) = c_Rings_Oinverse__class_Odivide(_381570, c_Groups_Otimes__class_Otimes(_381570, _381572, _381576), c_Groups_Otimes__class_Otimes(_381570, _381574, _381578)))], (1980 ^ _128844) ^ [_193697, _193699, _193701, _193703] : [class_Orderings_Opreorder(_193697), c_Orderings_Oord__class_Oless(_193697, _193699, _193701), c_Orderings_Oord__class_Oless(_193697, _193701, _193703), -(c_Orderings_Oord__class_Oless(_193697, _193699, _193703))], (6773 ^ _128844) ^ [_357133, _357135] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _357133, _357135), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_357133), c_NthRoot_Osqrt(_357135)))], (7269 ^ _128844) ^ [_376014, _376016, _376018, _376020] : [class_Rings_Ocomm__semiring__1(_376014), -(c_Groups_Otimes__class_Otimes(_376014, c_Groups_Oplus__class_Oplus(_376014, _376016, _376018), _376020) = c_Groups_Oplus__class_Oplus(_376014, c_Groups_Otimes__class_Otimes(_376014, _376016, _376020), c_Groups_Otimes__class_Otimes(_376014, _376018, _376020)))], (8761 ^ _128844) ^ [_427255, _427257, _427259, _427261, _427263, _427265] : [class_Rings_Oring(_427255), 8764 ^ _128844 : [(8771 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, c_Groups_Ominus__class_Ominus(_427255, _427257, _427263), _427259), _427261) = _427265, -(c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, _427257, _427259), _427261) = c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, _427263, _427259), _427265))], (8765 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, _427257, _427259), _427261) = c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, _427263, _427259), _427265), -(c_Groups_Oplus__class_Oplus(_427255, c_Groups_Otimes__class_Otimes(_427255, c_Groups_Ominus__class_Ominus(_427255, _427257, _427263), _427259), _427261) = _427265)]]], (3686 ^ _128844) ^ [_248664, _248666, _248668] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _248664, _248666), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _248664, _248668), 3693 ^ _128844 : [(3700 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _248666, _248668), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248666, _248664), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248668, _248664)))], (3694 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248666, _248664), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _248668, _248664)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _248666, _248668))]]], (6793 ^ _128844) ^ [_357850] : [c_NthRoot_Osqrt(_357850) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), -(_357850 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (5525 ^ _128844) ^ [_314881, _314883] : [-(c_Complex_OIm(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _314881, _314883)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Complex_OIm(_314881), c_Complex_OIm(_314883)))], (5926 ^ _128844) ^ [] : [-(c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OPls)))], (6733 ^ _128844) ^ [_355829, _355831, _355833] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _355829), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _355831, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _355829, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _355833, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _355829, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _355831), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _355833), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _355831, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _355833, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _355829))], (2456 ^ _128844) ^ [_208630, _208632, _208634] : [class_Orderings_Opreorder(_208630), c_Orderings_Oord__class_Oless(_208630, _208632, _208634), -(c_Orderings_Oord__class_Oless__eq(_208630, _208632, _208634))], (4898 ^ _128844) ^ [_291289, _291291] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _291289), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _291291), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_291289, _291291)))], (154 ^ _128844) ^ [_133576, _133578] : [-(class_Rings_Oordered__cancel__semiring(_133576)), _133578 = _133576, class_Rings_Oordered__cancel__semiring(_133578)], (8821 ^ _128844) ^ [_429805, _429807, _429809, _429811, _429813] : [class_Fields_Ofield(_429805), -(_429807 = c_Groups_Ozero__class_Ozero(_429805)), -(_429809 = c_Groups_Ozero__class_Ozero(_429805)), 8832 ^ _128844 : [(8839 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_429805, _429811, _429809) = c_Groups_Otimes__class_Otimes(_429805, _429813, _429807), -(c_Rings_Oinverse__class_Odivide(_429805, _429811, _429807) = c_Rings_Oinverse__class_Odivide(_429805, _429813, _429809))], (8833 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_429805, _429811, _429807) = c_Rings_Oinverse__class_Odivide(_429805, _429813, _429809), -(c_Groups_Otimes__class_Otimes(_429805, _429811, _429809) = c_Groups_Otimes__class_Otimes(_429805, _429813, _429807))]]], (1401 ^ _128844) ^ [_174978] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_174978)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OPls, _174978)))], (11227 ^ _128844) ^ [_510565, _510567, _510569] : [11228 ^ _128844 : [(11231 ^ _128844) ^ [] : [_510565 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (11229 ^ _128844) ^ [] : [_510567 = _510569]], -(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510565, _510567) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510565, _510569))], (6093 ^ _128844) ^ [_334874, _334876] : [class_Rings_Olinordered__idom(_334874), 6096 ^ _128844 : [(6103 ^ _128844) ^ [] : [-(_334876 = c_Groups_Ozero__class_Ozero(_334874)), -(c_Orderings_Oord__class_Oless(_334874, c_Groups_Ozero__class_Ozero(_334874), c_Power_Opower__class_Opower(_334874, _334876, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (6097 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_334874, c_Groups_Ozero__class_Ozero(_334874), c_Power_Opower__class_Opower(_334874, _334876, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), _334876 = c_Groups_Ozero__class_Ozero(_334874)]]], (8665 ^ _128844) ^ [_423593, _423595, _423597] : [class_Rings_Olinordered__ring__strict(_423593), 8668 ^ _128844 : [(8677 ^ _128844) ^ [] : [-(c_Groups_Oplus__class_Oplus(_423593, c_Groups_Otimes__class_Otimes(_423593, _423595, _423595), c_Groups_Otimes__class_Otimes(_423593, _423597, _423597)) = c_Groups_Ozero__class_Ozero(_423593)), _423595 = c_Groups_Ozero__class_Ozero(_423593), _423597 = c_Groups_Ozero__class_Ozero(_423593)], (8669 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_423593, c_Groups_Otimes__class_Otimes(_423593, _423595, _423595), c_Groups_Otimes__class_Otimes(_423593, _423597, _423597)) = c_Groups_Ozero__class_Ozero(_423593), 8672 ^ _128844 : [(8675 ^ _128844) ^ [] : [-(_423597 = c_Groups_Ozero__class_Ozero(_423593))], (8673 ^ _128844) ^ [] : [-(_423595 = c_Groups_Ozero__class_Ozero(_423593))]]]]], (12117 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex))], (9083 ^ _128844) ^ [_438672, _438674] : [-(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _438672, _438672), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _438674, _438674)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), _438672 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _438674 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)], (11245 ^ _128844) ^ [_511196, _511198, _511200] : [11246 ^ _128844 : [(11249 ^ _128844) ^ [] : [_511198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (11247 ^ _128844) ^ [] : [_511196 = _511200]], -(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511196, _511198) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511200, _511198))], (4942 ^ _128844) ^ [_292933] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Complex_OIm(v_s(_292933))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_r, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))))], (7517 ^ _128844) ^ [_385834, _385836, _385838] : [class_Rings_Odivision__ring(_385834), -(_385836 = c_Groups_Ozero__class_Ozero(_385834)), -(_385838 = c_Groups_Ozero__class_Ozero(_385834)), -(c_Rings_Oinverse__class_Oinverse(_385834, c_Groups_Otimes__class_Otimes(_385834, _385836, _385838)) = c_Groups_Otimes__class_Otimes(_385834, c_Rings_Oinverse__class_Oinverse(_385834, _385838), c_Rings_Oinverse__class_Oinverse(_385834, _385836)))], (11883 ^ _128844) ^ [] : [-(class_Rings_Oidom(tc_Int_Oint))], (1563 ^ _128844) ^ [_180471, _180473] : [class_Groups_Oordered__ab__group__add__abs(_180471), c_Orderings_Oord__class_Oless__eq(_180471, c_Groups_Ozero__class_Ozero(_180471), _180473), -(c_Groups_Oabs__class_Oabs(_180471, _180473) = _180473)], (5002 ^ _128844) ^ [_295216, _295218] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295216, _295218) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295218, _295216))], (4388 ^ _128844) ^ [_273549, _273551, _273553, _273555] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_273549), c_Orderings_Oord__class_Oless(_273549, c_Groups_Oplus__class_Oplus(_273549, _273551, _273553), c_Groups_Oplus__class_Oplus(_273549, _273551, _273555)), -(c_Orderings_Oord__class_Oless(_273549, _273553, _273555))], (7367 ^ _128844) ^ [_380124, _380126, _380128, _380130] : [class_RealVector_Oreal__normed__algebra(_380124), -(c_Groups_Otimes__class_Otimes(_380124, _380126, c_Groups_Ominus__class_Ominus(_380124, _380128, _380130)) = c_Groups_Ominus__class_Ominus(_380124, c_Groups_Otimes__class_Otimes(_380124, _380126, _380128), c_Groups_Otimes__class_Otimes(_380124, _380126, _380130)))], (5343 ^ _128844) ^ [_308148, _308150] : [class_Rings_Odivision__ring(_308148), -(_308150 = c_Groups_Ozero__class_Ozero(_308148)), -(c_Rings_Oinverse__class_Odivide(_308148, _308150, _308150) = c_Groups_Oone__class_Oone(_308148))], (5116 ^ _128844) ^ [_299437, _299439, _299441] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299437, _299439), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299437, _299441)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299439, _299441))], (5156 ^ _128844) ^ [_301043, _301045] : [class_Rings_Odivision__ring(_301043), -(c_Rings_Oinverse__class_Odivide(_301043, _301045, c_Groups_Oone__class_Oone(_301043)) = _301045)], (11161 ^ _128844) ^ [_507855] : [-(c_Transcendental_Oarctan(_507855) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), c_Transcendental_Oarctan(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _507855, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _507855, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))))))], (6937 ^ _128844) ^ [_362612] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _362612), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(_362612)))], (12169 ^ _128844) ^ [] : [-(class_Power_Opower(tc_Complex_Ocomplex))], (7991 ^ _128844) ^ [_401970, _401972] : [class_Fields_Olinordered__field(_401970), c_Orderings_Oord__class_Oless(_401970, c_Groups_Ozero__class_Ozero(_401970), c_Rings_Oinverse__class_Oinverse(_401970, _401972)), -(_401972 = c_Groups_Ozero__class_Ozero(_401970)), -(c_Orderings_Oord__class_Oless(_401970, c_Groups_Ozero__class_Ozero(_401970), _401972))], (7053 ^ _128844) ^ [_366962, _366964] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _366962, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _366964, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _366962, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))], (946 ^ _128844) ^ [_158887, _158889, _158891, _158893] : [-(hAPP(_158893, _158889) = hAPP(_158891, _158887)), _158893 = _158891, _158889 = _158887], (8295 ^ _128844) ^ [_411754, _411756, _411758] : [class_Rings_Oordered__cancel__semiring(_411754), c_Orderings_Oord__class_Oless__eq(_411754, c_Groups_Ozero__class_Ozero(_411754), _411756), c_Orderings_Oord__class_Oless__eq(_411754, c_Groups_Ozero__class_Ozero(_411754), _411758), -(c_Orderings_Oord__class_Oless__eq(_411754, c_Groups_Ozero__class_Ozero(_411754), c_Groups_Otimes__class_Otimes(_411754, _411756, _411758)))], (11865 ^ _128844) ^ [] : [-(class_Orderings_Oorder(tc_Int_Oint))], (7003 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (11651 ^ _128844) ^ [_526067, _526069, _526071] : [class_Fields_Ofield__inverse__zero(_526067), -(c_Rings_Oinverse__class_Odivide(_526067, c_Groups_Ouminus__class_Ouminus(_526067, _526069), c_Groups_Ouminus__class_Ouminus(_526067, _526071)) = c_Rings_Oinverse__class_Odivide(_526067, _526069, _526071))], (11815 ^ _128844) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Int_Oint))], (5204 ^ _128844) ^ [_302947, _302949, _302951] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302947, _302949), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302947, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302949, _302951)))], (12129 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex))], (5645 ^ _128844) ^ [_319445, _319447] : [class_Int_Onumber__ring(_319445), -(c_Groups_Oplus__class_Oplus(_319445, c_Int_Onumber__class_Onumber__of(_319445, _319447), c_Groups_Oone__class_Oone(_319445)) = c_Int_Onumber__class_Onumber__of(_319445, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _319447, c_Int_OBit1(c_Int_OPls))))], (6617 ^ _128844) ^ [_352138, _352140, _352142, _352144] : [class_Rings_Olinordered__semidom(_352138), c_Power_Opower__class_Opower(_352138, _352140, _352142) = c_Power_Opower__class_Opower(_352138, _352144, _352142), c_Orderings_Oord__class_Oless__eq(_352138, c_Groups_Ozero__class_Ozero(_352138), _352140), c_Orderings_Oord__class_Oless__eq(_352138, c_Groups_Ozero__class_Ozero(_352138), _352144), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _352142), -(_352140 = _352144)], (992 ^ _128844) ^ [_160647, _160649] : [hAPP(_160647, 993 ^ [_160647, _160649]) = hAPP(_160649, 993 ^ [_160647, _160649]), -(_160647 = _160649)], (12145 ^ _128844) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Complex_Ocomplex))], (7639 ^ _128844) ^ [_390354, _390356] : [class_RealVector_Oreal__normed__algebra(_390354), -(c_Groups_Otimes__class_Otimes(_390354, c_Groups_Ozero__class_Ozero(_390354), _390356) = c_Groups_Ozero__class_Ozero(_390354))], (5838 ^ _128844) ^ [_326123, _326125] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326123, _326125) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _326125, _326123))], (3558 ^ _128844) ^ [_244250, _244252] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _244250), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _244252), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _244252, _244250), _244252))], (5854 ^ _128844) ^ [_326806, _326808] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _326806), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, _326806, _326808)))], (11959 ^ _128844) ^ [] : [-(class_Groups_Oone(tc_Nat_Onat))], (11945 ^ _128844) ^ [] : [-(class_Rings_Omult__zero(tc_Nat_Onat))], (2022 ^ _128844) ^ [_195037, _195039, _195041, _195043] : [class_Orderings_Oorder(_195037), _195039 = _195041, c_Orderings_Oord__class_Oless(_195037, _195043, _195041), -(c_Orderings_Oord__class_Oless(_195037, _195043, _195039))], (3146 ^ _128844) ^ [] : [-(c_Complex_OIm(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (10465 ^ _128844) ^ [_484751, _484753, _484755, _484757] : [class_Fields_Olinordered__field(_484751), c_Orderings_Oord__class_Oless(_484751, c_Groups_Ozero__class_Ozero(_484751), _484753), c_Orderings_Oord__class_Oless__eq(_484751, c_Groups_Otimes__class_Otimes(_484751, _484755, _484753), _484757), -(c_Orderings_Oord__class_Oless__eq(_484751, _484755, c_Rings_Oinverse__class_Odivide(_484751, _484757, _484753)))], (3530 ^ _128844) ^ [_243301, _243303] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _243301, _243303)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _243303, _243301))], (11083 ^ _128844) ^ [_504717, _504719] : [class_Groups_Omonoid__mult(_504717), -(c_Power_Opower__class_Opower(_504717, _504719, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_504717, _504719, _504719))], (12005 ^ _128844) ^ [] : [-(class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal))], (664 ^ _128844) ^ [_148621, _148623] : [-(class_Power_Opower(_148621)), _148623 = _148621, class_Power_Opower(_148623)], (9247 ^ _128844) ^ [] : [-(c_Complex_ORe(c_Complex_Oii) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (1439 ^ _128844) ^ [_176359] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_176359), c_Int_OPls), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _176359, c_Int_OPls))], (11921 ^ _128844) ^ [] : [-(class_Rings_Oordered__semiring(tc_Nat_Onat))], (5128 ^ _128844) ^ [_299847, _299849] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299847, _299849), _299849)], (4220 ^ _128844) ^ [_267585, _267587, _267589, _267591] : [class_Int_Onumber__ring(_267585), -(c_Groups_Oplus__class_Oplus(_267585, c_Int_Onumber__class_Onumber__of(_267585, _267587), c_Groups_Ominus__class_Ominus(_267585, c_Int_Onumber__class_Onumber__of(_267585, _267589), _267591)) = c_Groups_Ominus__class_Ominus(_267585, c_Int_Onumber__class_Onumber__of(_267585, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _267587, _267589)), _267591))], (5419 ^ _128844) ^ [_310829, _310831, _310833] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _310829, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _310831, _310833)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _310829, _310833), _310831))], (9791 ^ _128844) ^ [_462165, _462167, _462169, _462171] : [class_Fields_Olinordered__field(_462165), c_Orderings_Oord__class_Oless(_462165, _462167, c_Groups_Ozero__class_Ozero(_462165)), 9798 ^ _128844 : [(9805 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_462165, _462171, c_Groups_Otimes__class_Otimes(_462165, _462169, _462167)), -(c_Orderings_Oord__class_Oless(_462165, _462169, c_Rings_Oinverse__class_Odivide(_462165, _462171, _462167)))], (9799 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_462165, _462169, c_Rings_Oinverse__class_Odivide(_462165, _462171, _462167)), -(c_Orderings_Oord__class_Oless(_462165, _462171, c_Groups_Otimes__class_Otimes(_462165, _462169, _462167)))]]], (11383 ^ _128844) ^ [_517176, _517178, _517180] : [class_RealVector_Oreal__normed__algebra(_517176), -(c_Groups_Otimes__class_Otimes(_517176, c_Groups_Ouminus__class_Ouminus(_517176, _517178), _517180) = c_Groups_Ouminus__class_Ouminus(_517176, c_Groups_Otimes__class_Otimes(_517176, _517178, _517180)))], (1253 ^ _128844) ^ [_169940, _169942] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _169940, _169942), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_169940), c_Int_OBit0(_169942)))], (9887 ^ _128844) ^ [_465433, _465435, _465437, _465439] : [class_Fields_Ofield(_465433), -(_465435 = c_Groups_Ozero__class_Ozero(_465433)), -(c_Groups_Oplus__class_Oplus(_465433, c_Rings_Oinverse__class_Odivide(_465433, _465437, _465435), _465439) = c_Rings_Oinverse__class_Odivide(_465433, c_Groups_Oplus__class_Oplus(_465433, _465437, c_Groups_Otimes__class_Otimes(_465433, _465435, _465439)), _465435))], (6843 ^ _128844) ^ [_359575] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _359575), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_359575)))], (6087 ^ _128844) ^ [_334652, _334654] : [class_Rings_Olinordered__idom(_334652), -(c_Orderings_Oord__class_Oless__eq(_334652, c_Groups_Ozero__class_Ozero(_334652), c_Power_Opower__class_Opower(_334652, _334654, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (11143 ^ _128844) ^ [_506851] : [-(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _506851, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506851), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (6973 ^ _128844) ^ [_363884, _363886, _363888, _363890] : [class_Rings_Ocomm__semiring__1(_363884), -(c_Groups_Oplus__class_Oplus(_363884, _363886, c_Groups_Oplus__class_Oplus(_363884, _363888, _363890)) = c_Groups_Oplus__class_Oplus(_363884, _363888, c_Groups_Oplus__class_Oplus(_363884, _363886, _363890)))], (1125 ^ _128844) ^ [_165532, _165534] : [c_Complex_ORe(_165532) = c_Complex_ORe(_165534), c_Complex_OIm(_165532) = c_Complex_OIm(_165534), -(_165532 = _165534)], (1507 ^ _128844) ^ [_178576, _178578] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_178576), c_Int_OBit1(_178578)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _178576, _178578))], (6725 ^ _128844) ^ [_355482] : [-(c_Power_Opower__class_Opower(tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_355482), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _355482)], (12111 ^ _128844) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex))], (3160 ^ _128844) ^ [_231390, _231392] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231390), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231392))), 3163 ^ _128844 : [(3166 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _231392)], (3164 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _231390, _231392))]], c_Orderings_Oord__class_Oless(tc_Int_Oint, _231390, _231392)], (11807 ^ _128844) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_Int_Oint))], (11891 ^ _128844) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat))], (6949 ^ _128844) ^ [_363005] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _363005, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_363005), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (4024 ^ _128844) ^ [_260075, _260077, _260079, _260081] : [class_RealVector_Oreal__normed__field(_260075), -(c_Rings_Oinverse__class_Odivide(_260075, c_Groups_Ominus__class_Ominus(_260075, _260077, _260079), _260081) = c_Groups_Ominus__class_Ominus(_260075, c_Rings_Oinverse__class_Odivide(_260075, _260077, _260081), c_Rings_Oinverse__class_Odivide(_260075, _260079, _260081)))], (12061 ^ _128844) ^ [] : [-(class_Orderings_Olinorder(tc_RealDef_Oreal))], (11787 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint))], (8083 ^ _128844) ^ [_404876] : [c_Complex_Oii = c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, _404876)], (12015 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal))], (6349 ^ _128844) ^ [_343443, _343445, _343447] : [class_Rings_Olinordered__semidom(_343443), c_Orderings_Oord__class_Oless(_343443, c_Groups_Ozero__class_Ozero(_343443), _343445), -(c_Orderings_Oord__class_Oless(_343443, c_Groups_Ozero__class_Ozero(_343443), c_Power_Opower__class_Opower(_343443, _343445, _343447)))], (11813 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__group__add(tc_Int_Oint))], (5369 ^ _128844) ^ [_308945, _308947] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_308945), c_Int_OBit1(_308947)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _308945, _308947)))], (1209 ^ _128844) ^ [_168432, _168434] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_168432), c_Int_OBit1(_168434)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _168432, _168434))], (1165 ^ _128844) ^ [_166846, _166848] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _166846, _166848), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_166846), c_Int_OBit1(_166848)))], (8085 ^ _128844) ^ [_405000, _405002, _405004] : [class_Rings_Oordered__cancel__semiring(_405000), -(c_Orderings_Oord__class_Oless__eq(_405000, c_Groups_Otimes__class_Otimes(_405000, _405002, _405004), c_Groups_Ozero__class_Ozero(_405000))), 8090 ^ _128844 : [(8097 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405000, _405002, c_Groups_Ozero__class_Ozero(_405000)), c_Orderings_Oord__class_Oless__eq(_405000, c_Groups_Ozero__class_Ozero(_405000), _405004)], (8091 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_405000, c_Groups_Ozero__class_Ozero(_405000), _405002), c_Orderings_Oord__class_Oless__eq(_405000, _405004, c_Groups_Ozero__class_Ozero(_405000))]]], (2490 ^ _128844) ^ [_209702, _209704, _209706] : [class_Orderings_Oorder(_209702), -(_209704 = _209706), c_Orderings_Oord__class_Oless__eq(_209702, _209704, _209706), -(c_Orderings_Oord__class_Oless(_209702, _209704, _209706))], (4504 ^ _128844) ^ [_277897, _277899, _277901, _277903] : [class_Rings_Olinordered__semidom(_277897), c_Orderings_Oord__class_Oless(_277897, c_Groups_Ozero__class_Ozero(_277897), _277899), c_Orderings_Oord__class_Oless(_277897, _277901, _277903), -(c_Orderings_Oord__class_Oless(_277897, _277901, c_Groups_Oplus__class_Oplus(_277897, _277899, _277903)))], (6137 ^ _128844) ^ [_336319, _336321] : [c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _336319, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _336321, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), 6140 ^ _128844 : [(6143 ^ _128844) ^ [] : [-(_336321 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (6141 ^ _128844) ^ [] : [-(_336319 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))]]], (7829 ^ _128844) ^ [_396901, _396903] : [class_Rings_Odivision__ring(_396901), -(_396903 = c_Groups_Ozero__class_Ozero(_396901)), -(c_Groups_Otimes__class_Otimes(_396901, _396903, c_Rings_Oinverse__class_Oinverse(_396901, _396903)) = c_Groups_Oone__class_Oone(_396901))], (6961 ^ _128844) ^ [_363398] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _363398), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(_363398)))], (12121 ^ _128844) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex))], (8899 ^ _128844) ^ [_432443, _432445, _432447, _432449] : [class_Fields_Ofield__inverse__zero(_432443), 8902 ^ _128844 : [(8903 ^ _128844) ^ [] : [_432445 = c_Rings_Oinverse__class_Odivide(_432443, _432447, _432449), 8906 ^ _128844 : [(8913 ^ _128844) ^ [] : [_432449 = c_Groups_Ozero__class_Ozero(_432443), -(_432445 = c_Groups_Ozero__class_Ozero(_432443))], (8907 ^ _128844) ^ [] : [-(_432449 = c_Groups_Ozero__class_Ozero(_432443)), -(c_Groups_Otimes__class_Otimes(_432443, _432445, _432449) = _432447)]]], (8919 ^ _128844) ^ [] : [-(_432445 = c_Rings_Oinverse__class_Odivide(_432443, _432447, _432449)), 8922 ^ _128844 : [(8925 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_432443, _432445, _432449) = _432447], (8923 ^ _128844) ^ [] : [_432449 = c_Groups_Ozero__class_Ozero(_432443)]], 8926 ^ _128844 : [(8929 ^ _128844) ^ [] : [_432445 = c_Groups_Ozero__class_Ozero(_432443)], (8927 ^ _128844) ^ [] : [-(_432449 = c_Groups_Ozero__class_Ozero(_432443))]]]]], (1291 ^ _128844) ^ [_171176, _171178] : [class_Groups_Ogroup__add(_171176), -(c_Groups_Ominus__class_Ominus(_171176, _171178, _171178) = c_Groups_Ozero__class_Ozero(_171176))], (1671 ^ _128844) ^ [_183848, _183850] : [class_Int_Onumber__ring(_183848), class_Rings_Olinordered__idom(_183848), 1678 ^ _128844 : [(1685 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _183850, c_Int_OPls), -(c_Orderings_Oord__class_Oless(_183848, c_Int_Onumber__class_Onumber__of(_183848, _183850), c_Groups_Ozero__class_Ozero(_183848)))], (1679 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_183848, c_Int_Onumber__class_Onumber__of(_183848, _183850), c_Groups_Ozero__class_Ozero(_183848)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _183850, c_Int_OPls))]]], (8377 ^ _128844) ^ [_414254, _414256] : [class_Rings_Olinordered__ring(_414254), -(c_Orderings_Oord__class_Oless__eq(_414254, c_Groups_Ozero__class_Ozero(_414254), c_Groups_Otimes__class_Otimes(_414254, _414256, _414256)))], (5198 ^ _128844) ^ [_302705, _302707, _302709] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302705, _302707), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _302705, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _302709, _302707)))], (2804 ^ _128844) ^ [_219814, _219816, _219818] : [class_Fields_Olinordered__field(_219814), c_Orderings_Oord__class_Oless__eq(_219814, _219816, c_Groups_Ozero__class_Ozero(_219814)), c_Orderings_Oord__class_Oless(_219814, _219818, c_Groups_Ozero__class_Ozero(_219814)), -(c_Orderings_Oord__class_Oless__eq(_219814, c_Groups_Ozero__class_Ozero(_219814), c_Rings_Oinverse__class_Odivide(_219814, _219816, _219818)))], (1942 ^ _128844) ^ [_192485, _192487, _192489] : [class_Orderings_Olinorder(_192485), -(c_Orderings_Oord__class_Oless(_192485, _192487, _192489)), -(_192487 = _192489), -(c_Orderings_Oord__class_Oless(_192485, _192489, _192487))], (3504 ^ _128844) ^ [_242402] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _242402), _242402 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (5719 ^ _128844) ^ [_321685, _321687] : [class_Int_Onumber__ring(_321685), class_Rings_Olinordered__idom(_321685), 5726 ^ _128844 : [(5733 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _321687, c_Int_OBit1(c_Int_OPls)), -(c_Orderings_Oord__class_Oless(_321685, c_Int_Onumber__class_Onumber__of(_321685, _321687), c_Groups_Oone__class_Oone(_321685)))], (5727 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_321685, c_Int_Onumber__class_Onumber__of(_321685, _321687), c_Groups_Oone__class_Oone(_321685)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _321687, c_Int_OBit1(c_Int_OPls)))]]], (11443 ^ _128844) ^ [_519240, _519242] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _519240, _519242), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Transcendental_Oarctan(_519240), c_Transcendental_Oarctan(_519242)))], (5064 ^ _128844) ^ [_297297] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, _297297) = _297297)], (6931 ^ _128844) ^ [_362448] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(_362448)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _362448))], (5068 ^ _128844) ^ [_297461] : [-(c_Int_OBit0(_297461) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _297461, _297461))], (5976 ^ _128844) ^ [_330915, _330917] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _330915, _330917), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _330915, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _330917, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (3430 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (3846 ^ _128844) ^ [_253960, _253962, _253964] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253960, _253962), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253962, _253964), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _253960, _253964))], (842 ^ _128844) ^ [_155083, _155085] : [_155085 = _155083, -(c_Transcendental_Oarctan(_155085) = c_Transcendental_Oarctan(_155083))], (5840 ^ _128844) ^ [_326254, _326256, _326258] : [class_RealVector_Oreal__normed__algebra__1(_326254), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_326254, c_Power_Opower__class_Opower(_326254, _326256, _326258)), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_326254, _326256), _326258)))], (9335 ^ _128844) ^ [_446776, _446778, _446780, _446782, _446784] : [class_Rings_Olinordered__semiring__strict(_446776), c_Orderings_Oord__class_Oless(_446776, _446778, _446780), c_Orderings_Oord__class_Oless__eq(_446776, _446782, _446784), c_Orderings_Oord__class_Oless__eq(_446776, c_Groups_Ozero__class_Ozero(_446776), _446778), c_Orderings_Oord__class_Oless(_446776, c_Groups_Ozero__class_Ozero(_446776), _446782), -(c_Orderings_Oord__class_Oless(_446776, c_Groups_Otimes__class_Otimes(_446776, _446778, _446782), c_Groups_Otimes__class_Otimes(_446776, _446780, _446784)))], (8397 ^ _128844) ^ [_414972, _414974, _414976, _414978] : [class_Rings_Olinordered__ring__strict(_414972), c_Orderings_Oord__class_Oless(_414972, _414974, _414976), c_Orderings_Oord__class_Oless(_414972, _414978, c_Groups_Ozero__class_Ozero(_414972)), -(c_Orderings_Oord__class_Oless(_414972, c_Groups_Otimes__class_Otimes(_414972, _414976, _414978), c_Groups_Otimes__class_Otimes(_414972, _414974, _414978)))], (11327 ^ _128844) ^ [_514894, _514896, _514898] : [class_Rings_Oidom(_514894), 11330 ^ _128844 : [(11331 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_514894, _514896, _514896) = c_Groups_Otimes__class_Otimes(_514894, _514898, _514898), -(_514896 = _514898), -(_514896 = c_Groups_Ouminus__class_Ouminus(_514894, _514898))], (11341 ^ _128844) ^ [] : [11342 ^ _128844 : [(11345 ^ _128844) ^ [] : [_514896 = c_Groups_Ouminus__class_Ouminus(_514894, _514898)], (11343 ^ _128844) ^ [] : [_514896 = _514898]], -(c_Groups_Otimes__class_Otimes(_514894, _514896, _514896) = c_Groups_Otimes__class_Otimes(_514894, _514898, _514898))]]], (8077 ^ _128844) ^ [_404680, _404682] : [class_Fields_Ofield(_404680), -(c_Rings_Oinverse__class_Oinverse(_404680, _404682) = c_Rings_Oinverse__class_Odivide(_404680, c_Groups_Oone__class_Oone(_404680), _404682))], (144 ^ _128844) ^ [_133281, _133283] : [-(class_Groups_Olinordered__ab__group__add(_133281)), _133283 = _133281, class_Groups_Olinordered__ab__group__add(_133283)], (6823 ^ _128844) ^ [_358854, _358856] : [-(c_NthRoot_Osqrt(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _358854, _358856)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_NthRoot_Osqrt(_358854), c_NthRoot_Osqrt(_358856)))], (1731 ^ _128844) ^ [_185667, _185669, _185671, _185673, _185675] : [class_Orderings_Oord(_185667), c_Orderings_Oord__class_Oless__eq(tc_fun(_185669, _185667), _185671, _185673), -(c_Orderings_Oord__class_Oless__eq(_185667, hAPP(_185671, _185675), hAPP(_185673, _185675)))], (464 ^ _128844) ^ [_142721, _142723] : [-(class_Groups_Oab__semigroup__add(_142721)), _142723 = _142721, class_Groups_Oab__semigroup__add(_142723)], (11855 ^ _128844) ^ [] : [-(class_Groups_Omonoid__add(tc_Int_Oint))], (4732 ^ _128844) ^ [_285199, _285201, _285203, _285205, _285207] : [class_Groups_Oordered__cancel__ab__semigroup__add(_285199), c_Orderings_Oord__class_Oless(_285199, _285201, _285203), c_Orderings_Oord__class_Oless__eq(_285199, _285205, _285207), -(c_Orderings_Oord__class_Oless(_285199, c_Groups_Oplus__class_Oplus(_285199, _285201, _285205), c_Groups_Oplus__class_Oplus(_285199, _285203, _285207)))], (3054 ^ _128844) ^ [_228058, _228060, _228062] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228058, _228060), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228060, _228062), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228058, _228062))], (8425 ^ _128844) ^ [_415908, _415910, _415912, _415914] : [class_Rings_Olinordered__semiring__strict(_415908), c_Orderings_Oord__class_Oless(_415908, _415910, _415912), c_Orderings_Oord__class_Oless(_415908, c_Groups_Ozero__class_Ozero(_415908), _415914), -(c_Orderings_Oord__class_Oless(_415908, c_Groups_Otimes__class_Otimes(_415908, _415914, _415910), c_Groups_Otimes__class_Otimes(_415908, _415914, _415912)))], (4480 ^ _128844) ^ [_276827, _276829, _276831] : [class_Groups_Ogroup__add(_276827), -(c_Groups_Oplus__class_Oplus(_276827, c_Groups_Ominus__class_Ominus(_276827, _276829, _276831), _276831) = _276829)], (3440 ^ _128844) ^ [_240276, _240278] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _240276, _240278), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240276, _240278))], (5004 ^ _128844) ^ [_295333, _295335] : [class_Groups_Oone(_295333), 5007 ^ _128844 : [(5014 ^ _128844) ^ [] : [_295335 = c_Groups_Oone__class_Oone(_295333), -(c_Groups_Oone__class_Oone(_295333) = _295335)], (5008 ^ _128844) ^ [] : [c_Groups_Oone__class_Oone(_295333) = _295335, -(_295335 = c_Groups_Oone__class_Oone(_295333))]]], (2110 ^ _128844) ^ [_197867, _197869, _197871] : [class_Orderings_Oorder(_197867), c_Orderings_Oord__class_Oless(_197867, _197869, _197871), _197869 = _197871], (6325 ^ _128844) ^ [_342648, _342650, _342652, _342654] : [class_Rings_Olinordered__semidom(_342648), c_Orderings_Oord__class_Oless__eq(_342648, _342650, _342652), c_Orderings_Oord__class_Oless__eq(_342648, c_Groups_Ozero__class_Ozero(_342648), _342650), -(c_Orderings_Oord__class_Oless__eq(_342648, c_Power_Opower__class_Opower(_342648, _342650, _342654), c_Power_Opower__class_Opower(_342648, _342652, _342654)))], (12043 ^ _128844) ^ [] : [-(class_Rings_Olinordered__idom(tc_RealDef_Oreal))], (11395 ^ _128844) ^ [_517664, _517666] : [c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _517664, _517666) = c_Groups_Oone__class_Oone(tc_Nat_Onat), 11398 ^ _128844 : [(11401 ^ _128844) ^ [] : [-(_517666 = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (11399 ^ _128844) ^ [] : [-(_517664 = c_Groups_Oone__class_Oone(tc_Nat_Onat))]]], (8453 ^ _128844) ^ [_416830, _416832, _416834] : [class_Rings_Olinordered__ring__strict(_416830), c_Orderings_Oord__class_Oless(_416830, _416832, c_Groups_Ozero__class_Ozero(_416830)), c_Orderings_Oord__class_Oless(_416830, _416834, c_Groups_Ozero__class_Ozero(_416830)), -(c_Orderings_Oord__class_Oless(_416830, c_Groups_Ozero__class_Ozero(_416830), c_Groups_Otimes__class_Otimes(_416830, _416832, _416834)))], (1573 ^ _128844) ^ [_180780, _180782] : [class_Groups_Oordered__ab__group__add__abs(_180780), 1576 ^ _128844 : [(1583 ^ _128844) ^ [] : [_180782 = c_Groups_Ozero__class_Ozero(_180780), -(c_Orderings_Oord__class_Oless__eq(_180780, c_Groups_Oabs__class_Oabs(_180780, _180782), c_Groups_Ozero__class_Ozero(_180780)))], (1577 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_180780, c_Groups_Oabs__class_Oabs(_180780, _180782), c_Groups_Ozero__class_Ozero(_180780)), -(_180782 = c_Groups_Ozero__class_Ozero(_180780))]]], (9849 ^ _128844) ^ [_464046, _464048, _464050, _464052] : [class_Fields_Olinordered__field(_464046), c_Orderings_Oord__class_Oless(_464046, _464048, _464050), c_Orderings_Oord__class_Oless(_464046, _464052, c_Groups_Ozero__class_Ozero(_464046)), c_Orderings_Oord__class_Oless(_464046, c_Groups_Ozero__class_Ozero(_464046), c_Groups_Otimes__class_Otimes(_464046, _464048, _464050)), -(c_Orderings_Oord__class_Oless(_464046, c_Rings_Oinverse__class_Odivide(_464046, _464052, _464048), c_Rings_Oinverse__class_Odivide(_464046, _464052, _464050)))], (11881 ^ _128844) ^ [] : [-(class_Rings_Oring(tc_Int_Oint))], (894 ^ _128844) ^ [_156999, _157001, _157003, _157005] : [-(tc_fun(_157005, _157001) = tc_fun(_157003, _156999)), _157005 = _157003, _157001 = _156999], (8789 ^ _128844) ^ [_428447, _428449, _428451] : [class_Rings_Ocomm__semiring__1(_428447), -(c_Groups_Oplus__class_Oplus(_428447, _428449, c_Groups_Otimes__class_Otimes(_428447, _428451, _428449)) = c_Groups_Otimes__class_Otimes(_428447, c_Groups_Oplus__class_Oplus(_428447, _428451, c_Groups_Oone__class_Oone(_428447)), _428449))], (12055 ^ _128844) ^ [] : [-(class_Rings_Ozero__neq__one(tc_RealDef_Oreal))], (5860 ^ _128844) ^ [_327013, _327015] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _327013), _327015)))], (4258 ^ _128844) ^ [_269069, _269071] : [class_Groups_Olinordered__ab__group__add(_269069), 4261 ^ _128844 : [(4268 ^ _128844) ^ [] : [_269071 = c_Groups_Ozero__class_Ozero(_269069), -(c_Groups_Ozero__class_Ozero(_269069) = c_Groups_Oplus__class_Oplus(_269069, _269071, _269071))], (4262 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(_269069) = c_Groups_Oplus__class_Oplus(_269069, _269071, _269071), -(_269071 = c_Groups_Ozero__class_Ozero(_269069))]]], (524 ^ _128844) ^ [_144491, _144493] : [-(class_Rings_Ocomm__semiring(_144491)), _144493 = _144491, class_Rings_Ocomm__semiring(_144493)], (7007 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (3092 ^ _128844) ^ [_229248] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _229248, c_Int_OPls), -(c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _229248))], (11303 ^ _128844) ^ [_513870, _513872, _513874] : [class_Rings_Oring(_513870), -(c_Groups_Ouminus__class_Ouminus(_513870, c_Groups_Otimes__class_Otimes(_513870, _513872, _513874)) = c_Groups_Otimes__class_Otimes(_513870, _513872, c_Groups_Ouminus__class_Ouminus(_513870, _513874)))], (6015 ^ _128844) ^ [_332327, _332329] : [class_Rings_Oring__1__no__zero__divisors(_332327), 6018 ^ _128844 : [(6025 ^ _128844) ^ [] : [_332329 = c_Groups_Ozero__class_Ozero(_332327), -(c_Power_Opower__class_Opower(_332327, _332329, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_332327))], (6019 ^ _128844) ^ [] : [c_Power_Opower__class_Opower(_332327, _332329, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_332327), -(_332329 = c_Groups_Ozero__class_Ozero(_332327))]]], (8061 ^ _128844) ^ [_404126, _404128] : [class_Fields_Olinordered__field(_404126), -(_404128 = c_Groups_Ozero__class_Ozero(_404126)), -(c_Groups_Oabs__class_Oabs(_404126, c_Rings_Oinverse__class_Oinverse(_404126, _404128)) = c_Rings_Oinverse__class_Oinverse(_404126, c_Groups_Oabs__class_Oabs(_404126, _404128)))], (5511 ^ _128844) ^ [_314274, _314276, _314278] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _314274, _314276), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _314276, _314274), _314278) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _314276, _314278), _314274))], (4518 ^ _128844) ^ [_278371, _278373, _278375, _278377, _278379] : [class_RealVector_Oreal__normed__vector(_278371), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_278371, c_Groups_Ominus__class_Ominus(_278371, c_Groups_Oplus__class_Oplus(_278371, _278373, _278375), c_Groups_Oplus__class_Oplus(_278371, _278377, _278379))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_278371, c_Groups_Ominus__class_Ominus(_278371, _278373, _278377)), c_RealVector_Onorm__class_Onorm(_278371, c_Groups_Ominus__class_Ominus(_278371, _278375, _278379)))))], (7419 ^ _128844) ^ [_382375, _382377, _382379] : [-(_382375 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 7422 ^ _128844 : [(7429 ^ _128844) ^ [] : [_382377 = _382379, -(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382377, _382375) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382379, _382375))], (7423 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382377, _382375) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _382379, _382375), -(_382377 = _382379)]]], (3604 ^ _128844) ^ [_245867, _245869] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _245867, _245869) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _245869, _245867) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(_245867 = _245869)], (534 ^ _128844) ^ [_144786, _144788] : [-(class_Groups_Oab__group__add(_144786)), _144788 = _144786, class_Groups_Oab__group__add(_144788)], (11803 ^ _128844) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_Int_Oint))], (11189 ^ _128844) ^ [_509120] : [-(c_NthRoot_Osqrt(c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _509120)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_NthRoot_Osqrt(_509120)))], (12153 ^ _128844) ^ [] : [-(class_Rings_Osemiring__0(tc_Complex_Ocomplex))], (7349 ^ _128844) ^ [_379260, _379262, _379264, _379266] : [class_RealVector_Oreal__normed__algebra(_379260), -(c_Groups_Otimes__class_Otimes(_379260, _379262, c_Groups_Oplus__class_Oplus(_379260, _379264, _379266)) = c_Groups_Oplus__class_Oplus(_379260, c_Groups_Otimes__class_Otimes(_379260, _379262, _379264), c_Groups_Otimes__class_Otimes(_379260, _379262, _379266)))], (5401 ^ _128844) ^ [_310112, _310114, _310116, _310118] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _310112, _310114), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _310116, _310118), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _310112, _310116), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _310114, _310118)))], (5138 ^ _128844) ^ [_300315, _300317, _300319] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300315, _300317), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300315, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _300319, _300317)))], (4614 ^ _128844) ^ [_281449, _281451, _281453, _281455] : [class_Groups_Oordered__comm__monoid__add(_281449), c_Orderings_Oord__class_Oless__eq(_281449, c_Groups_Ozero__class_Ozero(_281449), _281451), c_Orderings_Oord__class_Oless__eq(_281449, _281453, _281455), -(c_Orderings_Oord__class_Oless__eq(_281449, _281453, c_Groups_Oplus__class_Oplus(_281449, _281455, _281451)))], (6213 ^ _128844) ^ [_338738, _338740, _338742, _338744] : [class_Rings_Olinordered__semidom(_338738), c_Orderings_Oord__class_Oless(_338738, _338740, _338742), c_Orderings_Oord__class_Oless__eq(_338738, c_Groups_Ozero__class_Ozero(_338738), _338740), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _338744), -(c_Orderings_Oord__class_Oless(_338738, c_Power_Opower__class_Opower(_338738, _338740, _338744), c_Power_Opower__class_Opower(_338738, _338742, _338744)))], (3144 ^ _128844) ^ [] : [-(c_Complex_ORe(c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (11887 ^ _128844) ^ [] : [-(class_Groups_Oone(tc_Int_Oint))], (4116 ^ _128844) ^ [_263498, _263500] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _263498, _263500), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _263498, _263500))], (12081 ^ _128844) ^ [] : [-(class_Rings_Osemiring(tc_RealDef_Oreal))], (5489 ^ _128844) ^ [_313494, _313496, _313498] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _313494, _313496), 5492 ^ _128844 : [(5499 ^ _128844) ^ [] : [_313496 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _313498, _313494), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _313496, _313494) = _313498)], (5493 ^ _128844) ^ [] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _313496, _313494) = _313498, -(_313496 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _313498, _313494))]]], (334 ^ _128844) ^ [_138886, _138888] : [-(class_RealVector_Oreal__normed__div__algebra(_138886)), _138888 = _138886, class_RealVector_Oreal__normed__div__algebra(_138888)], (12057 ^ _128844) ^ [] : [-(class_Rings_Oordered__ring(tc_RealDef_Oreal))], (1227 ^ _128844) ^ [_169033, _169035] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _169033, _169035), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_169033), c_Int_OBit1(_169035)))], (9867 ^ _128844) ^ [_464597, _464599] : [class_Rings_Oring__1(_464597), -(c_Groups_Ominus__class_Ominus(_464597, c_Groups_Otimes__class_Otimes(_464597, _464599, _464599), c_Groups_Oone__class_Oone(_464597)) = c_Groups_Otimes__class_Otimes(_464597, c_Groups_Oplus__class_Oplus(_464597, _464599, c_Groups_Oone__class_Oone(_464597)), c_Groups_Ominus__class_Ominus(_464597, _464599, c_Groups_Oone__class_Oone(_464597))))], (5653 ^ _128844) ^ [_319771, _319773] : [class_Int_Onumber__ring(_319771), class_Rings_Olinordered__idom(_319771), 5660 ^ _128844 : [(5667 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _319773), -(c_Orderings_Oord__class_Oless__eq(_319771, c_Groups_Oone__class_Oone(_319771), c_Int_Onumber__class_Onumber__of(_319771, _319773)))], (5661 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_319771, c_Groups_Oone__class_Oone(_319771), c_Int_Onumber__class_Onumber__of(_319771, _319773)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _319773))]]], (5467 ^ _128844) ^ [_312744, _312746, _312748] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312744, _312746), 5470 ^ _128844 : [(5477 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312748, _312744), _312746), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312748, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312746, _312744)))], (5471 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _312748, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _312746, _312744)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _312748, _312744), _312746))]]], (12097 ^ _128844) ^ [] : [-(class_Int_Onumber(tc_RealDef_Oreal))], (11867 ^ _128844) ^ [] : [-(class_Int_Oring__char__0(tc_Int_Oint))], (3620 ^ _128844) ^ [_246391, _246393, _246395] : [3621 ^ _128844 : [(3624 ^ _128844) ^ [] : [hBOOL(hAPP(hAPP(_246395, _246393), _246391))], (3622 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _246391, _246393))]], 3627 ^ _128844 : [(3630 ^ _128844) ^ [] : [hBOOL(hAPP(hAPP(_246395, _246393), _246391))], (3628 ^ _128844) ^ [] : [-(_246391 = _246393)]], 3633 ^ _128844 : [(3636 ^ _128844) ^ [] : [hBOOL(hAPP(hAPP(_246395, _246393), _246391))], (3634 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _246393, _246391))]], -(hBOOL(hAPP(hAPP(_246395, _246393), _246391)))], (5894 ^ _128844) ^ [_328148, _328150] : [5895 ^ _128844 : [(5898 ^ _128844) ^ [] : [_328148 = _328150], (5896 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _328148, _328150)]], -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _328148, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _328150, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (314 ^ _128844) ^ [_138296, _138298] : [-(class_Orderings_Oord(_138296)), _138298 = _138296, class_Orderings_Oord(_138298)], (3138 ^ _128844) ^ [_230695] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _230695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_230695), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (4474 ^ _128844) ^ [_276583, _276585, _276587] : [class_Groups_Ogroup__add(_276583), -(c_Groups_Ominus__class_Ominus(_276583, c_Groups_Oplus__class_Oplus(_276583, _276585, _276587), _276587) = _276585)], (1769 ^ _128844) ^ [_186910, _186912, _186914, _186916] : [class_Orderings_Opreorder(_186910), c_Orderings_Oord__class_Oless__eq(_186910, _186912, _186914), c_Orderings_Oord__class_Oless__eq(_186910, _186914, _186916), -(c_Orderings_Oord__class_Oless__eq(_186910, _186912, _186916))], (164 ^ _128844) ^ [_133871, _133873] : [-(class_Rings_Olinordered__ring__strict(_133871)), _133873 = _133871, class_Rings_Olinordered__ring__strict(_133873)], (3172 ^ _128844) ^ [_231815, _231817] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231815), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _231817)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _231815, _231817)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _231815, c_Int_OPls))], (3120 ^ _128844) ^ [_230144] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _230144, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_230144), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (9965 ^ _128844) ^ [_468319, _468321, _468323] : [class_Rings_Olinordered__semidom(_468319), c_Orderings_Oord__class_Oless(_468319, c_Groups_Oone__class_Oone(_468319), _468321), -(c_Orderings_Oord__class_Oless(_468319, c_Groups_Oone__class_Oone(_468319), c_Groups_Otimes__class_Otimes(_468319, _468321, c_Power_Opower__class_Opower(_468319, _468321, _468323))))], (11877 ^ _128844) ^ [] : [-(class_Power_Opower(tc_Int_Oint))], (12165 ^ _128844) ^ [] : [-(class_Rings_Oring__1(tc_Complex_Ocomplex))], (354 ^ _128844) ^ [_139476, _139478] : [-(class_RealVector_Oreal__normed__algebra__1(_139476)), _139478 = _139476, class_RealVector_Oreal__normed__algebra__1(_139478)], (4232 ^ _128844) ^ [_268161, _268163, _268165, _268167, _268169] : [class_RealVector_Oreal__normed__vector(_268161), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_268161, _268163), _268165), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_268161, _268167), _268169), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_268161, c_Groups_Oplus__class_Oplus(_268161, _268163, _268167)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _268165, _268169)))], (6943 ^ _128844) ^ [_362841] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_362841), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _362841, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (11291 ^ _128844) ^ [_513233, _513235, _513237] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _513233, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _513235, _513237)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _513233, _513235), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _513233, _513237)))], (11127 ^ _128844) ^ [_506301, _506303, _506305] : [c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506301) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _506303, _506305), -(_506301 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _506303, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506305)))], (2036 ^ _128844) ^ [_195483, _195485, _195487, _195489] : [class_Orderings_Oord(_195483), _195485 = _195487, c_Orderings_Oord__class_Oless(_195483, _195487, _195489), -(c_Orderings_Oord__class_Oless(_195483, _195485, _195489))], (6369 ^ _128844) ^ [_344125, _344127, _344129] : [class_Power_Opower(_344125), class_Rings_Omult__zero(_344125), class_Rings_Ono__zero__divisors(_344125), class_Rings_Ozero__neq__one(_344125), 6384 ^ _128844 : [(6393 ^ _128844) ^ [] : [-(c_Power_Opower__class_Opower(_344125, _344127, _344129) = c_Groups_Ozero__class_Ozero(_344125)), _344127 = c_Groups_Ozero__class_Ozero(_344125), -(_344129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (6385 ^ _128844) ^ [] : [c_Power_Opower__class_Opower(_344125, _344127, _344129) = c_Groups_Ozero__class_Ozero(_344125), 6388 ^ _128844 : [(6391 ^ _128844) ^ [] : [_344129 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (6389 ^ _128844) ^ [] : [-(_344127 = c_Groups_Ozero__class_Ozero(_344125))]]]]], (11729 ^ _128844) ^ [_528767, _528769] : [class_RealVector_Oreal__normed__vector(_528767), -(c_RealVector_Onorm__class_Onorm(_528767, c_Groups_Ouminus__class_Ouminus(_528767, _528769)) = c_RealVector_Onorm__class_Onorm(_528767, _528769))], (4690 ^ _128844) ^ [_283799, _283801, _283803] : [class_Groups_Oordered__comm__monoid__add(_283799), c_Orderings_Oord__class_Oless(_283799, c_Groups_Ozero__class_Ozero(_283799), _283801), c_Orderings_Oord__class_Oless(_283799, c_Groups_Ozero__class_Ozero(_283799), _283803), -(c_Orderings_Oord__class_Oless(_283799, c_Groups_Ozero__class_Ozero(_283799), c_Groups_Oplus__class_Oplus(_283799, _283801, _283803)))], (1853 ^ _128844) ^ [_189546, _189548, _189550] : [class_Orderings_Oorder(_189546), c_Orderings_Oord__class_Oless__eq(_189546, _189548, _189550), 1860 ^ _128844 : [(1867 ^ _128844) ^ [] : [_189550 = _189548, -(c_Orderings_Oord__class_Oless__eq(_189546, _189550, _189548))], (1861 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_189546, _189550, _189548), -(_189550 = _189548)]]], (2788 ^ _128844) ^ [_219203, _219205, _219207] : [class_Groups_Oordered__ab__group__add__abs(_219203), -(c_Groups_Oabs__class_Oabs(_219203, c_Groups_Ominus__class_Ominus(_219203, _219205, _219207)) = c_Groups_Oabs__class_Oabs(_219203, c_Groups_Ominus__class_Ominus(_219203, _219207, _219205)))], (2298 ^ _128844) ^ [_203751, _203753] : [class_Groups_Oordered__ab__group__add__abs(_203751), -(c_Groups_Oabs__class_Oabs(_203751, c_Groups_Oabs__class_Oabs(_203751, _203753)) = c_Groups_Oabs__class_Oabs(_203751, _203753))], (9145 ^ _128844) ^ [_440842, _440844, _440846] : [class_Fields_Olinordered__field(_440842), c_Orderings_Oord__class_Oless__eq(_440842, c_Rings_Oinverse__class_Oinverse(_440842, _440844), c_Rings_Oinverse__class_Oinverse(_440842, _440846)), c_Orderings_Oord__class_Oless(_440842, _440846, c_Groups_Ozero__class_Ozero(_440842)), -(c_Orderings_Oord__class_Oless__eq(_440842, _440846, _440844))], (12151 ^ _128844) ^ [] : [-(class_Rings_Osemiring__1(tc_Complex_Ocomplex))], (11191 ^ _128844) ^ [_509236, _509238, _509240] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _509236, _509238), _509240) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509236, _509240), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509238, _509240)))], (5988 ^ _128844) ^ [_331342, _331344] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _331342, _331344), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _331342, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _331344, c_Groups_Oone__class_Oone(tc_Int_Oint))))], (7605 ^ _128844) ^ [_389268, _389270, _389272] : [class_Rings_Ono__zero__divisors(_389268), -(_389270 = c_Groups_Ozero__class_Ozero(_389268)), -(_389272 = c_Groups_Ozero__class_Ozero(_389268)), c_Groups_Otimes__class_Otimes(_389268, _389270, _389272) = c_Groups_Ozero__class_Ozero(_389268)], (4226 ^ _128844) ^ [_267869, _267871, _267873] : [class_RealVector_Oreal__normed__vector(_267869), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_267869, c_Groups_Oplus__class_Oplus(_267869, _267871, _267873)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_267869, _267871), c_RealVector_Onorm__class_Onorm(_267869, _267873))))], (30 ^ _128844) ^ [_129915, _129917, _129919, _129921] : [-(c_SEQ_Odecseq(_129919, _129915)), c_SEQ_Odecseq(_129921, _129917), _129921 = _129919, _129917 = _129915], (724 ^ _128844) ^ [_150447, _150449, _150451, _150453, _150455, _150457] : [-(c_Orderings_Oord__class_Oless__eq(_150455, _150451, _150447)), c_Orderings_Oord__class_Oless__eq(_150457, _150453, _150449), _150457 = _150455, _150453 = _150451, _150449 = _150447], (9927 ^ _128844) ^ [_466987, _466989, _466991] : [class_Rings_Olinordered__idom(_466987), c_Orderings_Oord__class_Oless__eq(_466987, c_Groups_Ozero__class_Ozero(_466987), _466989), -(c_Groups_Otimes__class_Otimes(_466987, c_Groups_Oabs__class_Oabs(_466987, _466991), _466989) = c_Groups_Oabs__class_Oabs(_466987, c_Groups_Otimes__class_Otimes(_466987, _466991, _466989)))], (12069 ^ _128844) ^ [] : [-(class_Rings_Osemiring__0(tc_RealDef_Oreal))], (1058 ^ _128844) ^ [_163115, _163117, _163119] : [class_Groups_Oordered__ab__group__add__abs(_163115), -(c_Orderings_Oord__class_Oless__eq(_163115, c_Groups_Ominus__class_Ominus(_163115, c_Groups_Oabs__class_Oabs(_163115, _163117), c_Groups_Oabs__class_Oabs(_163115, _163119)), c_Groups_Oabs__class_Oabs(_163115, c_Groups_Ominus__class_Ominus(_163115, _163117, _163119))))], (6727 ^ _128844) ^ [_355595, _355597] : [class_Rings_Ocomm__semiring__1(_355595), -(c_Power_Opower__class_Opower(_355595, _355597, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_355595))], (6849 ^ _128844) ^ [_359804] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_359804), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _359804, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (8777 ^ _128844) ^ [_427903, _427905, _427907, _427909, _427911] : [class_Rings_Oring(_427903), -(c_Groups_Ominus__class_Ominus(_427903, c_Groups_Otimes__class_Otimes(_427903, _427905, _427907), c_Groups_Otimes__class_Otimes(_427903, _427909, _427911)) = c_Groups_Oplus__class_Oplus(_427903, c_Groups_Otimes__class_Otimes(_427903, _427905, c_Groups_Ominus__class_Ominus(_427903, _427907, _427911)), c_Groups_Otimes__class_Otimes(_427903, c_Groups_Ominus__class_Ominus(_427903, _427905, _427909), _427911)))], (8571 ^ _128844) ^ [_420575, _420577, _420579, _420581] : [class_Rings_Olinordered__ring__strict(_420575), c_Orderings_Oord__class_Oless(_420575, c_Groups_Ozero__class_Ozero(_420575), _420577), 8578 ^ _128844 : [(8585 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_420575, _420579, _420581), -(c_Orderings_Oord__class_Oless(_420575, c_Groups_Otimes__class_Otimes(_420575, _420577, _420579), c_Groups_Otimes__class_Otimes(_420575, _420577, _420581)))], (8579 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_420575, c_Groups_Otimes__class_Otimes(_420575, _420577, _420579), c_Groups_Otimes__class_Otimes(_420575, _420577, _420581)), -(c_Orderings_Oord__class_Oless(_420575, _420579, _420581))]]], (4642 ^ _128844) ^ [_282321, _282323] : [class_Groups_Olinordered__ab__group__add(_282321), 4645 ^ _128844 : [(4652 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_282321, c_Groups_Ozero__class_Ozero(_282321), _282323), -(c_Orderings_Oord__class_Oless(_282321, c_Groups_Ozero__class_Ozero(_282321), c_Groups_Oplus__class_Oplus(_282321, _282323, _282323)))], (4646 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_282321, c_Groups_Ozero__class_Ozero(_282321), c_Groups_Oplus__class_Oplus(_282321, _282323, _282323)), -(c_Orderings_Oord__class_Oless(_282321, c_Groups_Ozero__class_Ozero(_282321), _282323))]]], (11165 ^ _128844) ^ [_508096, _508098] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _508096), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _508098), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Transcendental_Oarctan(_508096), c_Transcendental_Oarctan(_508098)) = c_Transcendental_Oarctan(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _508096, _508098), c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _508096, _508098)))))], (3030 ^ _128844) ^ [_227203, _227205] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227203), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227205)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _227203, _227205))], (9463 ^ _128844) ^ [_450968, _450970, _450972] : [class_Rings_Olinordered__ring__strict(_450968), 9466 ^ _128844 : [(9475 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_450968, c_Groups_Oplus__class_Oplus(_450968, c_Groups_Otimes__class_Otimes(_450968, _450970, _450970), c_Groups_Otimes__class_Otimes(_450968, _450972, _450972)), c_Groups_Ozero__class_Ozero(_450968))), _450970 = c_Groups_Ozero__class_Ozero(_450968), _450972 = c_Groups_Ozero__class_Ozero(_450968)], (9467 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_450968, c_Groups_Oplus__class_Oplus(_450968, c_Groups_Otimes__class_Otimes(_450968, _450970, _450970), c_Groups_Otimes__class_Otimes(_450968, _450972, _450972)), c_Groups_Ozero__class_Ozero(_450968)), 9470 ^ _128844 : [(9473 ^ _128844) ^ [] : [-(_450972 = c_Groups_Ozero__class_Ozero(_450968))], (9471 ^ _128844) ^ [] : [-(_450970 = c_Groups_Ozero__class_Ozero(_450968))]]]]], (2610 ^ _128844) ^ [_213349, _213351, _213353] : [class_Orderings_Olinorder(_213349), -(c_Orderings_Oord__class_Oless__eq(_213349, _213351, _213353)), -(c_Orderings_Oord__class_Oless(_213349, _213353, _213351))], (11773 ^ _128844) ^ [_530529, _530531] : [class_Orderings_Oord(_530529), -(class_Orderings_Oord(tc_fun(_530531, _530529)))], (11851 ^ _128844) ^ [] : [-(class_Orderings_Olinorder(tc_Int_Oint))], (2980 ^ _128844) ^ [_225592, _225594, _225596, _225598] : [class_Orderings_Oord(_225592), 2983 ^ _128844 : [(2992 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_fun(_225594, _225592), _225596, _225598)), c_Orderings_Oord__class_Oless__eq(tc_fun(_225594, _225592), _225596, _225598), -(c_Orderings_Oord__class_Oless__eq(tc_fun(_225594, _225592), _225598, _225596))], (2984 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_fun(_225594, _225592), _225596, _225598), 2987 ^ _128844 : [(2990 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_fun(_225594, _225592), _225598, _225596)], (2988 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_fun(_225594, _225592), _225596, _225598))]]]]], (1221 ^ _128844) ^ [_168859, _168861] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_168859), c_Int_OBit1(_168861)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _168859, _168861))], (1627 ^ _128844) ^ [_182481, _182483] : [-(c_Complex_ORe(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _182481, _182483)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(_182481), c_Complex_ORe(_182483)))], (12093 ^ _128844) ^ [] : [-(class_Rings_Oring(tc_RealDef_Oreal))], (5637 ^ _128844) ^ [_319090] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _319090), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _319090)], (1811 ^ _128844) ^ [_188222, _188224, _188226, _188228] : [class_Orderings_Oord(_188222), c_Orderings_Oord__class_Oless__eq(_188222, _188224, _188226), _188226 = _188228, -(c_Orderings_Oord__class_Oless__eq(_188222, _188224, _188228))], (7051 ^ _128844) ^ [_366853, _366855] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _366853, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _366853, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _366855, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))], (1343 ^ _128844) ^ [_172869] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _172869), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_172869)))], (11365 ^ _128844) ^ [_516408, _516410, _516412] : [class_RealVector_Oreal__normed__algebra(_516408), -(c_Groups_Otimes__class_Otimes(_516408, _516410, c_Groups_Ouminus__class_Ouminus(_516408, _516412)) = c_Groups_Ouminus__class_Ouminus(_516408, c_Groups_Otimes__class_Otimes(_516408, _516410, _516412)))], (134 ^ _128844) ^ [_132986, _132988] : [-(class_Groups_Oordered__comm__monoid__add(_132986)), _132988 = _132986, class_Groups_Oordered__comm__monoid__add(_132988)], (11937 ^ _128844) ^ [] : [-(class_Groups_Omonoid__mult(tc_Nat_Onat))], (7403 ^ _128844) ^ [_381858, _381860, _381862] : [-(_381858 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), 7406 ^ _128844 : [(7413 ^ _128844) ^ [] : [_381860 = _381862, -(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _381858, _381860) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _381858, _381862))], (7407 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _381858, _381860) = c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _381858, _381862), -(_381860 = _381862)]]], (7161 ^ _128844) ^ [_371212, _371214, _371216] : [class_Groups_Omonoid__mult(_371212), -(c_Groups_Otimes__class_Otimes(_371212, c_Power_Opower__class_Opower(_371212, _371214, _371216), _371214) = c_Groups_Otimes__class_Otimes(_371212, _371214, c_Power_Opower__class_Opower(_371212, _371214, _371216)))], (8543 ^ _128844) ^ [_419681, _419683, _419685] : [class_Rings_Olinordered__semiring__strict(_419681), c_Orderings_Oord__class_Oless(_419681, c_Groups_Ozero__class_Ozero(_419681), _419683), c_Orderings_Oord__class_Oless(_419681, _419685, c_Groups_Ozero__class_Ozero(_419681)), -(c_Orderings_Oord__class_Oless(_419681, c_Groups_Otimes__class_Otimes(_419681, _419683, _419685), c_Groups_Ozero__class_Ozero(_419681)))], (5058 ^ _128844) ^ [_297051] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _297051) = _297051)], (3774 ^ _128844) ^ [_251567, _251569] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _251567, _251569), _251567))], (5311 ^ _128844) ^ [_307107] : [class_Rings_Olinordered__semidom(_307107), c_Orderings_Oord__class_Oless(_307107, c_Groups_Oone__class_Oone(_307107), c_Groups_Ozero__class_Ozero(_307107))], (2100 ^ _128844) ^ [_197541, _197543, _197545] : [class_Orderings_Opreorder(_197541), c_Orderings_Oord__class_Oless(_197541, _197543, _197545), c_Orderings_Oord__class_Oless(_197541, _197545, _197543)], (3568 ^ _128844) ^ [_244533] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _244533, _244533)], (12091 ^ _128844) ^ [] : [-(class_Groups_Ozero(tc_RealDef_Oreal))], (9449 ^ _128844) ^ [_450514, _450516, _450518, _450520] : [class_Rings_Olinordered__semiring__strict(_450514), c_Orderings_Oord__class_Oless__eq(_450514, c_Groups_Otimes__class_Otimes(_450514, _450516, _450518), c_Groups_Otimes__class_Otimes(_450514, _450516, _450520)), c_Orderings_Oord__class_Oless(_450514, c_Groups_Ozero__class_Ozero(_450514), _450516), -(c_Orderings_Oord__class_Oless__eq(_450514, _450518, _450520))], (5104 ^ _128844) ^ [_298924, _298926, _298928] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _298924, _298926), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _298924, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _298928, _298926)))], (7865 ^ _128844) ^ [_398100, _398102, _398104] : [class_RealVector_Oreal__normed__div__algebra(_398100), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _398102, c_RealVector_Onorm__class_Onorm(_398100, _398104)), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _398102), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_398100, c_Rings_Oinverse__class_Oinverse(_398100, _398104)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _398102)))], (3656 ^ _128844) ^ [_247643, _247645, _247647] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247643, _247645), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247645, _247647), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _247643, _247647))], (4778 ^ _128844) ^ [_286811, _286813, _286815] : [class_Groups_Oordered__comm__monoid__add(_286811), c_Orderings_Oord__class_Oless(_286811, _286813, c_Groups_Ozero__class_Ozero(_286811)), c_Orderings_Oord__class_Oless__eq(_286811, _286815, c_Groups_Ozero__class_Ozero(_286811)), -(c_Orderings_Oord__class_Oless(_286811, c_Groups_Oplus__class_Oplus(_286811, _286813, _286815), c_Groups_Ozero__class_Ozero(_286811)))], (11195 ^ _128844) ^ [_509468] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _509468) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (6245 ^ _128844) ^ [_339768, _339770] : [class_Groups_Omonoid__mult(_339768), -(c_Power_Opower__class_Opower(_339768, _339770, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _339770)], (5828 ^ _128844) ^ [_325652, _325654, _325656] : [_325654 = _325656, -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325652, _325654) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325652, _325656))], (5210 ^ _128844) ^ [_303218, _303220, _303222] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303218, _303220), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303218, _303222)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303220, _303222))], (8729 ^ _128844) ^ [_425800, _425802, _425804, _425806] : [-(c_Groups_Otimes__class_Otimes(_425800, c_Int_Onumber__class_Onumber__of(_425800, _425802), c_Groups_Oplus__class_Oplus(_425800, _425804, _425806)) = c_Groups_Oplus__class_Oplus(_425800, c_Groups_Otimes__class_Otimes(_425800, c_Int_Onumber__class_Onumber__of(_425800, _425802), _425804), c_Groups_Otimes__class_Otimes(_425800, c_Int_Onumber__class_Onumber__of(_425800, _425802), _425806))), class_Int_Onumber(_425800), class_Rings_Osemiring(_425800)], (504 ^ _128844) ^ [_143901, _143903] : [-(class_RealVector_Oreal__field(_143901)), _143903 = _143901, class_RealVector_Oreal__field(_143903)], (6997 ^ _128844) ^ [_365018, _365020, _365022, _365024, _365026] : [class_Rings_Ocomm__semiring__1(_365018), -(c_Groups_Oplus__class_Oplus(_365018, c_Groups_Oplus__class_Oplus(_365018, _365020, _365022), c_Groups_Oplus__class_Oplus(_365018, _365024, _365026)) = c_Groups_Oplus__class_Oplus(_365018, c_Groups_Oplus__class_Oplus(_365018, _365020, _365024), c_Groups_Oplus__class_Oplus(_365018, _365022, _365026)))], (2958 ^ _128844) ^ [_224730] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_s(_224730)), v_r))], (11821 ^ _128844) ^ [] : [-(class_Groups_Oab__semigroup__mult(tc_Int_Oint))], (7385 ^ _128844) ^ [_380988, _380990, _380992, _380994] : [class_RealVector_Oreal__normed__algebra(_380988), -(c_Groups_Otimes__class_Otimes(_380988, c_Groups_Ominus__class_Ominus(_380988, _380990, _380992), _380994) = c_Groups_Ominus__class_Ominus(_380988, c_Groups_Otimes__class_Otimes(_380988, _380990, _380994), c_Groups_Otimes__class_Otimes(_380988, _380992, _380994)))], (4458 ^ _128844) ^ [_276049, _276051, _276053, _276055] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_276049), 4461 ^ _128844 : [(4468 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_276049, _276051, _276055), -(c_Orderings_Oord__class_Oless(_276049, c_Groups_Oplus__class_Oplus(_276049, _276051, _276053), c_Groups_Oplus__class_Oplus(_276049, _276055, _276053)))], (4462 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_276049, c_Groups_Oplus__class_Oplus(_276049, _276051, _276053), c_Groups_Oplus__class_Oplus(_276049, _276055, _276053)), -(c_Orderings_Oord__class_Oless(_276049, _276051, _276055))]]], (12113 ^ _128844) ^ [] : [-(class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex))], (7565 ^ _128844) ^ [_387888, _387890, _387892] : [class_Fields_Ofield(_387888), -(c_Rings_Oinverse__class_Odivide(_387888, _387890, _387892) = c_Groups_Otimes__class_Otimes(_387888, _387890, c_Rings_Oinverse__class_Oinverse(_387888, _387892)))], (904 ^ _128844) ^ [_157330, _157332] : [_157332 = _157330, -(c_Complex_ORe(_157332) = c_Complex_ORe(_157330))], (12115 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex))], (2944 ^ _128844) ^ [_224319, _224321, _224323, _224325] : [class_Fields_Olinordered__field(_224319), c_Orderings_Oord__class_Oless(_224319, _224321, _224323), c_Orderings_Oord__class_Oless(_224319, _224325, c_Groups_Ozero__class_Ozero(_224319)), -(c_Orderings_Oord__class_Oless(_224319, c_Rings_Oinverse__class_Odivide(_224319, _224323, _224325), c_Rings_Oinverse__class_Odivide(_224319, _224321, _224325)))], (7191 ^ _128844) ^ [_372586, _372588, _372590, _372592] : [class_Rings_Ocomm__semiring__1(_372586), -(c_Groups_Otimes__class_Otimes(_372586, _372588, c_Groups_Otimes__class_Otimes(_372586, _372590, _372592)) = c_Groups_Otimes__class_Otimes(_372586, c_Groups_Otimes__class_Otimes(_372586, _372588, _372590), _372592))], (5505 ^ _128844) ^ [_314010, _314012, _314014] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _314010, _314012), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _314014, _314012), _314010) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _314014, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _314012, _314010)))], (6445 ^ _128844) ^ [_346622, _346624] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _346622, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _346624))), -(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _346624) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _346622))], (9037 ^ _128844) ^ [_437146, _437148] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _437146), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _437148), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437146, _437148)))], (11823 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Int_Oint))], (10167 ^ _128844) ^ [_475164, _475166] : [class_Int_Onumber__ring(_475164), -(c_Groups_Otimes__class_Otimes(_475164, _475166, c_Int_Onumber__class_Onumber__of(_475164, c_Int_OBit1(c_Int_OPls))) = _475166)], (7297 ^ _128844) ^ [_377104, _377106, _377108, _377110] : [class_Rings_Ocomm__semiring__1(_377104), -(c_Groups_Otimes__class_Otimes(_377104, _377106, c_Groups_Oplus__class_Oplus(_377104, _377108, _377110)) = c_Groups_Oplus__class_Oplus(_377104, c_Groups_Otimes__class_Otimes(_377104, _377106, _377108), c_Groups_Otimes__class_Otimes(_377104, _377106, _377110)))], (11489 ^ _128844) ^ [_520728, _520730] : [class_Groups_Olinordered__ab__group__add(_520728), 11492 ^ _128844 : [(11499 ^ _128844) ^ [] : [_520730 = c_Groups_Ozero__class_Ozero(_520728), -(_520730 = c_Groups_Ouminus__class_Ouminus(_520728, _520730))], (11493 ^ _128844) ^ [] : [_520730 = c_Groups_Ouminus__class_Ouminus(_520728, _520730), -(_520730 = c_Groups_Ozero__class_Ozero(_520728))]]], (12167 ^ _128844) ^ [] : [-(class_Fields_Ofield(tc_Complex_Ocomplex))], (5277 ^ _128844) ^ [_305989, _305991] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _305989, c_Int_OPls)), 5280 ^ _128844 : [(5287 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _305991, c_Int_OPls)), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305989), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305991)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _305989, _305991)))], (5281 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _305991, c_Int_OPls), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305989), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305991)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305989))]]], (614 ^ _128844) ^ [_147146, _147148] : [-(class_Int_Oring__char__0(_147146)), _147148 = _147146, class_Int_Oring__char__0(_147148)], (7879 ^ _128844) ^ [_398530, _398532] : [class_Fields_Olinordered__field__inverse__zero(_398530), 7882 ^ _128844 : [(7889 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_398530, _398532, c_Groups_Ozero__class_Ozero(_398530)), -(c_Orderings_Oord__class_Oless__eq(_398530, c_Rings_Oinverse__class_Oinverse(_398530, _398532), c_Groups_Ozero__class_Ozero(_398530)))], (7883 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_398530, c_Rings_Oinverse__class_Oinverse(_398530, _398532), c_Groups_Ozero__class_Ozero(_398530)), -(c_Orderings_Oord__class_Oless__eq(_398530, _398532, c_Groups_Ozero__class_Ozero(_398530)))]]], (5060 ^ _128844) ^ [_297133] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _297133, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _297133)], (12085 ^ _128844) ^ [] : [-(class_Rings_Oring__1(tc_RealDef_Oreal))], (11943 ^ _128844) ^ [] : [-(class_Rings_Osemiring__0(tc_Nat_Onat))], (7097 ^ _128844) ^ [_368689, _368691] : [class_Rings_Ocomm__semiring__1(_368689), -(c_Power_Opower__class_Opower(_368689, _368691, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _368691)], (12035 ^ _128844) ^ [] : [-(class_Rings_Oordered__ring__abs(tc_RealDef_Oreal))], (414 ^ _128844) ^ [_141246, _141248] : [-(class_Rings_Oring__no__zero__divisors(_141246)), _141248 = _141246, class_Rings_Oring__no__zero__divisors(_141248)], (9435 ^ _128844) ^ [_450046, _450048, _450050, _450052] : [class_Rings_Olinordered__semiring__strict(_450046), c_Orderings_Oord__class_Oless__eq(_450046, c_Groups_Otimes__class_Otimes(_450046, _450048, _450050), c_Groups_Otimes__class_Otimes(_450046, _450052, _450050)), c_Orderings_Oord__class_Oless(_450046, c_Groups_Ozero__class_Ozero(_450046), _450050), -(c_Orderings_Oord__class_Oless__eq(_450046, _450048, _450052))], (1185 ^ _128844) ^ [_167578, _167580] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_167578), c_Int_OBit0(_167580)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _167578, _167580))], (11789 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__strict(tc_Int_Oint))], (1755 ^ _128844) ^ [_186478, _186480, _186482] : [class_Orderings_Oorder(_186478), c_Orderings_Oord__class_Oless__eq(_186478, _186480, _186482), c_Orderings_Oord__class_Oless__eq(_186478, _186482, _186480), -(_186482 = _186480)], (5263 ^ _128844) ^ [_305348, _305350, _305352] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _305348, _305350), _305352) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _305348, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305350, _305352)))], (644 ^ _128844) ^ [_148031, _148033] : [-(class_Rings_Oring__1(_148031)), _148033 = _148031, class_Rings_Oring__1(_148033)], (10179 ^ _128844) ^ [_475622, _475624, _475626] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _475622), 10182 ^ _128844 : [(10189 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _475624, _475626), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _475622, _475624), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _475622, _475626)))], (10183 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _475622, _475624), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _475622, _475626)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _475624, _475626))]]], (7063 ^ _128844) ^ [_367505, _367507] : [c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367505, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _367507, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) = _367507, -(_367505 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (1303 ^ _128844) ^ [_171616, _171618] : [class_Groups_Oordered__ab__group__add__abs(_171616), 1306 ^ _128844 : [(1313 ^ _128844) ^ [] : [_171618 = c_Groups_Ozero__class_Ozero(_171616), -(c_Groups_Oabs__class_Oabs(_171616, _171618) = c_Groups_Ozero__class_Ozero(_171616))], (1307 ^ _128844) ^ [] : [c_Groups_Oabs__class_Oabs(_171616, _171618) = c_Groups_Ozero__class_Ozero(_171616), -(_171618 = c_Groups_Ozero__class_Ozero(_171616))]]], (6477 ^ _128844) ^ [_347676, _347678] : [class_Power_Opower(_347676), class_Rings_Osemiring__0(_347676), 6484 ^ _128844 : [(6491 ^ _128844) ^ [] : [-(_347678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Power_Opower__class_Opower(_347676, c_Groups_Ozero__class_Ozero(_347676), _347678) = c_Groups_Ozero__class_Ozero(_347676))], (6485 ^ _128844) ^ [] : [_347678 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Power_Opower__class_Opower(_347676, c_Groups_Ozero__class_Ozero(_347676), _347678) = c_Groups_Oone__class_Oone(_347676))]]], (11363 ^ _128844) ^ [_516267, _516269, _516271] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _516267, _516269), _516271) = c_Groups_Otimes__class_Otimes(tc_Int_Oint, _516267, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _516269, _516271)))], (11287 ^ _128844) ^ [_512978, _512980] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _512978), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _512980)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512978, _512980)))], (1171 ^ _128844) ^ [_167099, _167101] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_167099), c_Int_OBit1(_167101)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _167099, _167101))], (822 ^ _128844) ^ [_154405, _154407, _154409, _154411, _154413, _154415] : [-(c_Groups_Otimes__class_Otimes(_154415, _154411, _154407) = c_Groups_Otimes__class_Otimes(_154413, _154409, _154405)), _154415 = _154413, _154411 = _154409, _154407 = _154405], (4104 ^ _128844) ^ [_263097, _263099] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _263097, _263099), -(c_Nat__Transfer_Otsub(_263099, _263097) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _263099, _263097))], (11261 ^ _128844) ^ [_511878, _511880, _511882] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _511878, _511880), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511878, _511882), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _511880, _511882)))], (1001 ^ _128844) ^ [] : [-(c_SEQ_Osubseq(v_ga____))], (11355 ^ _128844) ^ [_515818, _515820] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _515818, _515820) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _515820, _515818))], (7173 ^ _128844) ^ [_371774, _371776, _371778, _371780] : [class_Rings_Ocomm__semiring__1(_371774), -(c_Power_Opower__class_Opower(_371774, c_Groups_Otimes__class_Otimes(_371774, _371776, _371778), _371780) = c_Groups_Otimes__class_Otimes(_371774, c_Power_Opower__class_Opower(_371774, _371776, _371780), c_Power_Opower__class_Opower(_371774, _371778, _371780)))], (4164 ^ _128844) ^ [_265399, _265401, _265403, _265405] : [class_Groups_Ocancel__semigroup__add(_265399), 4167 ^ _128844 : [(4174 ^ _128844) ^ [] : [_265401 = _265405, -(c_Groups_Oplus__class_Oplus(_265399, _265401, _265403) = c_Groups_Oplus__class_Oplus(_265399, _265405, _265403))], (4168 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_265399, _265401, _265403) = c_Groups_Oplus__class_Oplus(_265399, _265405, _265403), -(_265401 = _265405)]]], (5271 ^ _128844) ^ [_305799, _305801] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _305799, c_Int_OPls), -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305799), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305801)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _305801))], (3074 ^ _128844) ^ [_228691] : [c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _228691) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228691, c_Int_OPls))], (4274 ^ _128844) ^ [_269551, _269553] : [class_Groups_Omonoid__add(_269551), -(c_Groups_Oplus__class_Oplus(_269551, _269553, c_Groups_Ozero__class_Ozero(_269551)) = _269553)], (11521 ^ _128844) ^ [_521666] : [class_Groups_Ogroup__add(_521666), -(c_Groups_Ouminus__class_Ouminus(_521666, c_Groups_Ozero__class_Ozero(_521666)) = c_Groups_Ozero__class_Ozero(_521666))], (7479 ^ _128844) ^ [_384511, _384513] : [class_Rings_Odivision__ring__inverse__zero(_384511), -(c_Rings_Oinverse__class_Oinverse(_384511, c_Rings_Oinverse__class_Oinverse(_384511, _384513)) = _384513)], (3956 ^ _128844) ^ [_257694, _257696, _257698] : [class_RealVector_Oreal__normed__vector(_257694), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_257694, _257696), c_RealVector_Onorm__class_Onorm(_257694, _257698)), c_RealVector_Onorm__class_Onorm(_257694, c_Groups_Ominus__class_Ominus(_257694, _257696, _257698))))], (7123 ^ _128844) ^ [_369865] : [c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _369865) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _369865, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _369865, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _369865, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _369865, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (3064 ^ _128844) ^ [_228373, _228375] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228373, _228375), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _228375, _228373), -(_228373 = _228375)], (2566 ^ _128844) ^ [_212026, _212028, _212030] : [class_Orderings_Opreorder(_212026), 2569 ^ _128844 : [(2578 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_212026, _212028, _212030)), c_Orderings_Oord__class_Oless__eq(_212026, _212028, _212030), -(c_Orderings_Oord__class_Oless__eq(_212026, _212030, _212028))], (2570 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_212026, _212028, _212030), 2573 ^ _128844 : [(2576 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_212026, _212030, _212028)], (2574 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_212026, _212028, _212030))]]]]], (4432 ^ _128844) ^ [_275136, _275138, _275140, _275142] : [class_Groups_Oordered__cancel__ab__semigroup__add(_275136), c_Orderings_Oord__class_Oless(_275136, _275138, _275140), -(c_Orderings_Oord__class_Oless(_275136, c_Groups_Oplus__class_Oplus(_275136, _275138, _275142), c_Groups_Oplus__class_Oplus(_275136, _275140, _275142)))], (6925 ^ _128844) ^ [_362219] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _362219, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_NthRoot_Osqrt(_362219), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)))], (10411 ^ _128844) ^ [_482981, _482983, _482985, _482987] : [class_Fields_Olinordered__field(_482981), c_Orderings_Oord__class_Oless(_482981, c_Groups_Ozero__class_Ozero(_482981), _482983), 10418 ^ _128844 : [(10425 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_482981, c_Groups_Otimes__class_Otimes(_482981, _482985, _482983), _482987), -(c_Orderings_Oord__class_Oless__eq(_482981, _482985, c_Rings_Oinverse__class_Odivide(_482981, _482987, _482983)))], (10419 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_482981, _482985, c_Rings_Oinverse__class_Odivide(_482981, _482987, _482983)), -(c_Orderings_Oord__class_Oless__eq(_482981, c_Groups_Otimes__class_Otimes(_482981, _482985, _482983), _482987))]]], (5822 ^ _128844) ^ [_325468, _325470, _325472] : [c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325468, _325470) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325468, _325472), -(_325470 = _325472)], (3360 ^ _128844) ^ [_237753, _237755, _237757] : [class_Fields_Olinordered__field(_237753), c_Orderings_Oord__class_Oless(_237753, c_Groups_Ozero__class_Ozero(_237753), _237755), c_Orderings_Oord__class_Oless(_237753, c_Groups_Ozero__class_Ozero(_237753), _237757), -(c_Orderings_Oord__class_Oless(_237753, c_Groups_Ozero__class_Ozero(_237753), c_Rings_Oinverse__class_Odivide(_237753, _237755, _237757)))], (11297 ^ _128844) ^ [_513624, _513626] : [class_Rings_Odivision__ring__inverse__zero(_513624), -(c_Rings_Oinverse__class_Oinverse(_513624, c_Groups_Ouminus__class_Ouminus(_513624, _513626)) = c_Groups_Ouminus__class_Ouminus(_513624, c_Rings_Oinverse__class_Oinverse(_513624, _513626)))], (3494 ^ _128844) ^ [_242037] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _242037, _242037)], (2748 ^ _128844) ^ [_217798, _217800] : [class_Groups_Oordered__ab__group__add__abs(_217798), -(c_Orderings_Oord__class_Oless__eq(_217798, _217800, c_Groups_Oabs__class_Oabs(_217798, _217800)))], (6403 ^ _128844) ^ [_345096, _345098, _345100, _345102] : [class_Rings_Olinordered__semidom(_345096), c_Orderings_Oord__class_Oless(_345096, c_Groups_Oone__class_Oone(_345096), _345098), 6410 ^ _128844 : [(6417 ^ _128844) ^ [] : [_345100 = _345102, -(c_Power_Opower__class_Opower(_345096, _345098, _345100) = c_Power_Opower__class_Opower(_345096, _345098, _345102))], (6411 ^ _128844) ^ [] : [c_Power_Opower__class_Opower(_345096, _345098, _345100) = c_Power_Opower__class_Opower(_345096, _345098, _345102), -(_345100 = _345102)]]], (836 ^ _128844) ^ [_154865, _154867] : [_154867 = _154865, -(c_Groups_Oone__class_Oone(_154867) = c_Groups_Oone__class_Oone(_154865))], (12173 ^ _128844) ^ [] : [-(class_Rings_Oring(tc_Complex_Ocomplex))], (2620 ^ _128844) ^ [_213675, _213677, _213679] : [class_Orderings_Olinorder(_213675), 2623 ^ _128844 : [(2630 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_213675, _213679, _213677), c_Orderings_Oord__class_Oless__eq(_213675, _213677, _213679)], (2624 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_213675, _213677, _213679)), -(c_Orderings_Oord__class_Oless(_213675, _213679, _213677))]]], (5265 ^ _128844) ^ [_305474, _305476, _305478] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305474, _305476), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305474, _305478)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _305476, _305478))], (9485 ^ _128844) ^ [_451677, _451679, _451681] : [class_Rings_Olinordered__ring(_451677), -(c_Orderings_Oord__class_Oless__eq(_451677, c_Groups_Ozero__class_Ozero(_451677), c_Groups_Oplus__class_Oplus(_451677, c_Groups_Otimes__class_Otimes(_451677, _451679, _451679), c_Groups_Otimes__class_Otimes(_451677, _451681, _451681))))], (5245 ^ _128844) ^ [_304604, _304606, _304608] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304604, _304606), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _304604, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _304606, _304608)))], (7107 ^ _128844) ^ [_369111, _369113] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _369111), c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369111, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _369113, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))], (8687 ^ _128844) ^ [_424341, _424343, _424345, _424347, _424349, _424351] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_424341), -(_424343 = c_Groups_Ozero__class_Ozero(_424341)), c_Groups_Oplus__class_Oplus(_424341, _424345, c_Groups_Otimes__class_Otimes(_424341, _424343, _424349)) = c_Groups_Oplus__class_Oplus(_424341, _424347, c_Groups_Otimes__class_Otimes(_424341, _424343, _424351)), _424345 = _424347, -(_424349 = _424351)], (10793 ^ _128844) ^ [_495217, _495219] : [class_Int_Onumber__ring(_495217), -(c_Groups_Otimes__class_Otimes(_495217, c_Groups_Oplus__class_Oplus(_495217, c_Groups_Oone__class_Oone(_495217), c_Groups_Oone__class_Oone(_495217)), c_Int_Onumber__class_Onumber__of(_495217, _495219)) = c_Int_Onumber__class_Onumber__of(_495217, c_Int_OBit0(_495219)))], (7463 ^ _128844) ^ [_383930, _383932] : [-(c_RealVector_Onorm__class_Onorm(_383930, c_Rings_Oinverse__class_Oinverse(_383930, _383932)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_383930, _383932))), class_RealVector_Oreal__normed__div__algebra(_383930), class_Rings_Odivision__ring__inverse__zero(_383930)], (12001 ^ _128844) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal))], (3002 ^ _128844) ^ [_226319, _226321] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _226319, _226321), 3005 ^ _128844 : [(3008 ^ _128844) ^ [] : [_226319 = _226321], (3006 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _226319, _226321))]]], (10737 ^ _128844) ^ [_493453, _493455, _493457, _493459] : [class_Fields_Olinordered__field__inverse__zero(_493453), class_Int_Onumber(_493453), 10744 ^ _128844 : [(10745 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Rings_Oinverse__class_Odivide(_493453, _493455, c_Int_Onumber__class_Onumber__of(_493453, _493457)), _493459), 10748 ^ _128844 : [(10755 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), c_Int_Onumber__class_Onumber__of(_493453, _493457))), 10758 ^ _128844 : [(10765 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_493453, c_Int_Onumber__class_Onumber__of(_493453, _493457), c_Groups_Ozero__class_Ozero(_493453))), -(c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), _493459))], (10759 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Int_Onumber__class_Onumber__of(_493453, _493457), c_Groups_Ozero__class_Ozero(_493453)), -(c_Orderings_Oord__class_Oless(_493453, c_Groups_Otimes__class_Otimes(_493453, _493459, c_Int_Onumber__class_Onumber__of(_493453, _493457)), _493455))]]], (10749 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), c_Int_Onumber__class_Onumber__of(_493453, _493457)), -(c_Orderings_Oord__class_Oless(_493453, _493455, c_Groups_Otimes__class_Otimes(_493453, _493459, c_Int_Onumber__class_Onumber__of(_493453, _493457))))]]], (10771 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_493453, c_Rings_Oinverse__class_Odivide(_493453, _493455, c_Int_Onumber__class_Onumber__of(_493453, _493457)), _493459)), 10774 ^ _128844 : [(10777 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, _493455, c_Groups_Otimes__class_Otimes(_493453, _493459, c_Int_Onumber__class_Onumber__of(_493453, _493457)))], (10775 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), c_Int_Onumber__class_Onumber__of(_493453, _493457)))]], 10778 ^ _128844 : [(10781 ^ _128844) ^ [] : [10782 ^ _128844 : [(10785 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Groups_Otimes__class_Otimes(_493453, _493459, c_Int_Onumber__class_Onumber__of(_493453, _493457)), _493455)], (10783 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_493453, c_Int_Onumber__class_Onumber__of(_493453, _493457), c_Groups_Ozero__class_Ozero(_493453)))]], 10786 ^ _128844 : [(10789 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), _493459)], (10787 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Int_Onumber__class_Onumber__of(_493453, _493457), c_Groups_Ozero__class_Ozero(_493453))]]], (10779 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_493453, c_Groups_Ozero__class_Ozero(_493453), c_Int_Onumber__class_Onumber__of(_493453, _493457))]]]]], (7209 ^ _128844) ^ [_373440, _373442, _373444, _373446, _373448] : [class_Rings_Ocomm__semiring__1(_373440), -(c_Groups_Otimes__class_Otimes(_373440, c_Groups_Otimes__class_Otimes(_373440, _373442, _373444), c_Groups_Otimes__class_Otimes(_373440, _373446, _373448)) = c_Groups_Otimes__class_Otimes(_373440, _373442, c_Groups_Otimes__class_Otimes(_373440, _373444, c_Groups_Otimes__class_Otimes(_373440, _373446, _373448))))], (1605 ^ _128844) ^ [_181791, _181793] : [class_Groups_Oordered__ab__group__add__abs(_181791), 1608 ^ _128844 : [(1615 ^ _128844) ^ [] : [-(_181793 = c_Groups_Ozero__class_Ozero(_181791)), -(c_Orderings_Oord__class_Oless(_181791, c_Groups_Ozero__class_Ozero(_181791), c_Groups_Oabs__class_Oabs(_181791, _181793)))], (1609 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_181791, c_Groups_Ozero__class_Ozero(_181791), c_Groups_Oabs__class_Oabs(_181791, _181793)), _181793 = c_Groups_Ozero__class_Ozero(_181791)]]], (12031 ^ _128844) ^ [] : [-(class_Fields_Olinordered__field(tc_RealDef_Oreal))], (11863 ^ _128844) ^ [] : [-(class_Rings_Omult__zero(tc_Int_Oint))], (3644 ^ _128844) ^ [_247210] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Complex_OIm(_247210)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _247210)))], (9955 ^ _128844) ^ [_467966, _467968, _467970] : [class_Rings_Olinordered__semidom(_467966), c_Orderings_Oord__class_Oless(_467966, c_Groups_Oone__class_Oone(_467966), _467968), -(c_Orderings_Oord__class_Oless(_467966, c_Power_Opower__class_Opower(_467966, _467968, _467970), c_Groups_Otimes__class_Otimes(_467966, _467968, c_Power_Opower__class_Opower(_467966, _467968, _467970))))], (5782 ^ _128844) ^ [_324007, _324009, _324011] : [class_Rings_Olinordered__idom(_324007), 5785 ^ _128844 : [(5786 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_324007, c_Groups_Ozero__class_Ozero(_324007), c_Groups_Oplus__class_Oplus(_324007, c_Power_Opower__class_Opower(_324007, _324009, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_324007, _324011, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _324009 = c_Groups_Ozero__class_Ozero(_324007), _324011 = c_Groups_Ozero__class_Ozero(_324007)], (5796 ^ _128844) ^ [] : [5797 ^ _128844 : [(5800 ^ _128844) ^ [] : [-(_324011 = c_Groups_Ozero__class_Ozero(_324007))], (5798 ^ _128844) ^ [] : [-(_324009 = c_Groups_Ozero__class_Ozero(_324007))]], -(c_Orderings_Oord__class_Oless(_324007, c_Groups_Ozero__class_Ozero(_324007), c_Groups_Oplus__class_Oplus(_324007, c_Power_Opower__class_Opower(_324007, _324009, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_324007, _324011, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))]]], (6705 ^ _128844) ^ [_354902, _354904] : [class_Power_Opower(_354902), class_Rings_Osemiring__0(_354902), 6712 ^ _128844 : [(6719 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _354904) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Power_Opower__class_Opower(_354902, c_Groups_Ozero__class_Ozero(_354902), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _354904)) = c_Groups_Ozero__class_Ozero(_354902))], (6713 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _354904) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Power_Opower__class_Opower(_354902, c_Groups_Ozero__class_Ozero(_354902), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _354904)) = c_Groups_Oone__class_Oone(_354902))]]], (2938 ^ _128844) ^ [_224079] : [class_Int_Onumber__ring(_224079), -(c_Groups_Ozero__class_Ozero(_224079) = c_Int_Onumber__class_Onumber__of(_224079, c_Int_OPls))], (12163 ^ _128844) ^ [] : [-(class_Rings_Osemiring(tc_Complex_Ocomplex))], (11941 ^ _128844) ^ [] : [-(class_Rings_Osemiring__1(tc_Nat_Onat))], (7537 ^ _128844) ^ [_386594, _386596, _386598] : [class_Int_Onumber__ring(_386594), -(c_Groups_Otimes__class_Otimes(_386594, c_Int_Onumber__class_Onumber__of(_386594, _386596), c_Int_Onumber__class_Onumber__of(_386594, _386598)) = c_Int_Onumber__class_Onumber__of(_386594, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _386596, _386598)))], (11949 ^ _128844) ^ [] : [-(class_Rings_Osemiring(tc_Nat_Onat))], (6043 ^ _128844) ^ [_333217, _333219] : [class_Rings_Olinordered__idom(_333217), -(c_Power_Opower__class_Opower(_333217, c_Groups_Oabs__class_Oabs(_333217, _333219), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(_333217, _333219, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (9217 ^ _128844) ^ [_442978, _442980] : [class_Rings_Odivision__ring(_442978), -(_442980 = c_Groups_Ozero__class_Ozero(_442978)), -(c_Rings_Oinverse__class_Oinverse(_442978, _442980) = c_Rings_Oinverse__class_Odivide(_442978, c_Groups_Oone__class_Oone(_442978), _442980))], (404 ^ _128844) ^ [_140951, _140953] : [-(class_RealVector_Oreal__normed__field(_140951)), _140953 = _140951, class_RealVector_Oreal__normed__field(_140953)], (5162 ^ _128844) ^ [_301277, _301279, _301281] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _301277, _301279), _301281), 5165 ^ _128844 : [(5168 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _301279, _301281))], (5166 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _301277, _301281))]]], (11657 ^ _128844) ^ [_526323, _526325, _526327] : [class_Rings_Odivision__ring(_526323), -(c_Groups_Ouminus__class_Ouminus(_526323, c_Rings_Oinverse__class_Odivide(_526323, _526325, _526327)) = c_Rings_Oinverse__class_Odivide(_526323, c_Groups_Ouminus__class_Ouminus(_526323, _526325), _526327))], (8383 ^ _128844) ^ [_414504, _414506, _414508, _414510] : [class_Rings_Olinordered__ring__strict(_414504), c_Orderings_Oord__class_Oless(_414504, _414506, _414508), c_Orderings_Oord__class_Oless(_414504, _414510, c_Groups_Ozero__class_Ozero(_414504)), -(c_Orderings_Oord__class_Oless(_414504, c_Groups_Otimes__class_Otimes(_414504, _414510, _414508), c_Groups_Otimes__class_Otimes(_414504, _414510, _414506)))], (3938 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)))], (8659 ^ _128844) ^ [_423356, _423358] : [class_Rings_Olinordered__ring(_423356), c_Orderings_Oord__class_Oless(_423356, c_Groups_Otimes__class_Otimes(_423356, _423358, _423358), c_Groups_Ozero__class_Ozero(_423356))], (2780 ^ _128844) ^ [_218926] : [c_Int_OPls = _218926, -(c_Int_OPls = c_Int_OBit0(_218926))], (7911 ^ _128844) ^ [_399514, _399516, _399518] : [class_Fields_Olinordered__field(_399514), c_Orderings_Oord__class_Oless(_399514, c_Rings_Oinverse__class_Oinverse(_399514, _399516), c_Rings_Oinverse__class_Oinverse(_399514, _399518)), c_Orderings_Oord__class_Oless(_399514, _399518, c_Groups_Ozero__class_Ozero(_399514)), -(c_Orderings_Oord__class_Oless(_399514, _399518, _399516))], (6861 ^ _128844) ^ [_360168] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _360168), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_360168)))], (9975 ^ _128844) ^ [_468682, _468684, _468686, _468688] : [class_Fields_Ofield__inverse__zero(_468682), class_Int_Onumber(_468682), 9982 ^ _128844 : [(9983 ^ _128844) ^ [] : [_468684 = c_Rings_Oinverse__class_Odivide(_468682, _468686, c_Int_Onumber__class_Onumber__of(_468682, _468688)), 9986 ^ _128844 : [(9993 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_468682, _468688) = c_Groups_Ozero__class_Ozero(_468682), -(_468684 = c_Groups_Ozero__class_Ozero(_468682))], (9987 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(_468682, _468688) = c_Groups_Ozero__class_Ozero(_468682)), -(c_Groups_Otimes__class_Otimes(_468682, _468684, c_Int_Onumber__class_Onumber__of(_468682, _468688)) = _468686)]]], (9999 ^ _128844) ^ [] : [-(_468684 = c_Rings_Oinverse__class_Odivide(_468682, _468686, c_Int_Onumber__class_Onumber__of(_468682, _468688))), 10002 ^ _128844 : [(10005 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_468682, _468684, c_Int_Onumber__class_Onumber__of(_468682, _468688)) = _468686], (10003 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_468682, _468688) = c_Groups_Ozero__class_Ozero(_468682)]], 10006 ^ _128844 : [(10009 ^ _128844) ^ [] : [_468684 = c_Groups_Ozero__class_Ozero(_468682)], (10007 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(_468682, _468688) = c_Groups_Ozero__class_Ozero(_468682))]]]]], (8719 ^ _128844) ^ [_425399, _425401, _425403, _425405] : [-(c_Groups_Otimes__class_Otimes(_425399, c_Groups_Oplus__class_Oplus(_425399, _425401, _425403), c_Int_Onumber__class_Onumber__of(_425399, _425405)) = c_Groups_Oplus__class_Oplus(_425399, c_Groups_Otimes__class_Otimes(_425399, _425401, c_Int_Onumber__class_Onumber__of(_425399, _425405)), c_Groups_Otimes__class_Otimes(_425399, _425403, c_Int_Onumber__class_Onumber__of(_425399, _425405)))), class_Int_Onumber(_425399), class_Rings_Osemiring(_425399)], (1915 ^ _128844) ^ [_191504, _191506, _191508] : [class_Orderings_Olinorder(_191504), -(c_Orderings_Oord__class_Oless__eq(_191504, _191506, _191508)), -(c_Orderings_Oord__class_Oless__eq(_191504, _191508, _191506))], (11111 ^ _128844) ^ [_505717, _505719, _505721] : [class_Groups_Omonoid__mult(_505717), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _505719), -(c_Groups_Otimes__class_Otimes(_505717, c_Power_Opower__class_Opower(_505717, _505721, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _505719, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _505721) = c_Power_Opower__class_Opower(_505717, _505721, _505719))], (254 ^ _128844) ^ [_136526, _136528] : [-(class_Rings_Olinordered__ring(_136526)), _136528 = _136526, class_Rings_Olinordered__ring(_136528)], (4872 ^ _128844) ^ [_290165, _290167, _290169] : [class_RealVector_Oreal__normed__vector(_290165), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_290165, _290167), c_RealVector_Onorm__class_Onorm(_290165, _290169)), c_RealVector_Onorm__class_Onorm(_290165, c_Groups_Oplus__class_Oplus(_290165, _290167, _290169))))], (5880 ^ _128844) ^ [_327653] : [-(c_Int_OBit1(_327653) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _327653), _327653))], (5132 ^ _128844) ^ [_300073, _300075, _300077] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300073, _300075), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _300073, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _300075, _300077)))], (12045 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal))], (2070 ^ _128844) ^ [_196567, _196569, _196571] : [class_Orderings_Oorder(_196567), c_Orderings_Oord__class_Oless(_196567, _196569, _196571), _196571 = _196569], (3098 ^ _128844) ^ [_229477] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _229477)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _229477))], (5443 ^ _128844) ^ [_311750, _311752, _311754] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _311750, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _311754, _311752)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _311750, _311752), _311754))], (514 ^ _128844) ^ [_144196, _144198] : [-(class_Rings_Odivision__ring(_144196)), _144198 = _144196, class_Rings_Odivision__ring(_144198)], (1379 ^ _128844) ^ [_174140, _174142] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _174140, _174142), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_174140), c_Int_OBit1(_174142)))], (284 ^ _128844) ^ [_137411, _137413] : [-(class_Orderings_Opreorder(_137411)), _137413 = _137411, class_Orderings_Opreorder(_137413)], (7779 ^ _128844) ^ [_395220, _395222] : [class_Groups_Omonoid__mult(_395220), -(c_Groups_Otimes__class_Otimes(_395220, c_Groups_Oone__class_Oone(_395220), _395222) = _395222)], (10127 ^ _128844) ^ [_473484, _473486, _473488, _473490] : [class_Fields_Ofield(_473484), -(_473486 = c_Groups_Ozero__class_Ozero(_473484)), -(c_Groups_Ominus__class_Ominus(_473484, _473488, c_Rings_Oinverse__class_Odivide(_473484, _473490, _473486)) = c_Rings_Oinverse__class_Odivide(_473484, c_Groups_Ominus__class_Ominus(_473484, c_Groups_Otimes__class_Otimes(_473484, _473486, _473488), _473490), _473486))], (7753 ^ _128844) ^ [_394158, _394160, _394162] : [class_RealVector_Oreal__normed__algebra(_394158), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_394158, c_Groups_Otimes__class_Otimes(_394158, _394160, _394162)), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_394158, _394160), c_RealVector_Onorm__class_Onorm(_394158, _394162))))], (6305 ^ _128844) ^ [_341778, _341780] : [6306 ^ _128844 : [(6309 ^ _128844) ^ [] : [_341780 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)], (6307 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _341778)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _341778, _341780)))], (7759 ^ _128844) ^ [_394408, _394410] : [class_Fields_Olinordered__field__inverse__zero(_394408), -(c_Groups_Oabs__class_Oabs(_394408, c_Rings_Oinverse__class_Oinverse(_394408, _394410)) = c_Rings_Oinverse__class_Oinverse(_394408, c_Groups_Oabs__class_Oabs(_394408, _394410)))], (244 ^ _128844) ^ [_136231, _136233] : [-(class_Rings_Oordered__ring__abs(_136231)), _136233 = _136231, class_Rings_Oordered__ring__abs(_136233)], (5293 ^ _128844) ^ [_306512] : [class_Rings_Olinordered__semidom(_306512), -(c_Orderings_Oord__class_Oless__eq(_306512, c_Groups_Ozero__class_Ozero(_306512), c_Groups_Oone__class_Oone(_306512)))], (12155 ^ _128844) ^ [] : [-(class_Groups_Ogroup__add(tc_Complex_Ocomplex))], (11457 ^ _128844) ^ [_519776, _519778] : [class_Groups_Olinordered__ab__group__add(_519776), 11460 ^ _128844 : [(11467 ^ _128844) ^ [] : [_519778 = c_Groups_Ozero__class_Ozero(_519776), -(c_Groups_Ouminus__class_Ouminus(_519776, _519778) = _519778)], (11461 ^ _128844) ^ [] : [c_Groups_Ouminus__class_Ouminus(_519776, _519778) = _519778, -(_519778 = c_Groups_Ozero__class_Ozero(_519776))]]], (5755 ^ _128844) ^ [_322892, _322894, _322896, _322898] : [class_RealVector_Oreal__normed__vector(_322892), class_Orderings_Oord(_322894), 5765 ^ _128844 : [(5768 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_322892, c_Groups_Ominus__class_Ominus(_322892, hAPP(_322898, _322896), hAPP(_322898, 5764 ^ [_322892, _322894, _322896, _322898]))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (5766 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_322894, _322896, 5764 ^ [_322892, _322894, _322896, _322898]))]], 5769 ^ _128844 : [(5770 ^ _128844) ^ [_323450] : [c_Orderings_Oord__class_Oless__eq(_322894, _322896, _323450), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_322892, hAPP(_322898, _323450)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_322892, hAPP(_322898, _322896)))))]]], (7303 ^ _128844) ^ [_377378, _377380, _377382] : [class_Fields_Ofield(_377378), -(_377380 = c_Groups_Ozero__class_Ozero(_377378)), -(_377382 = c_Groups_Ozero__class_Ozero(_377378)), -(c_Groups_Oplus__class_Oplus(_377378, c_Rings_Oinverse__class_Oinverse(_377378, _377380), c_Rings_Oinverse__class_Oinverse(_377378, _377382)) = c_Groups_Otimes__class_Otimes(_377378, c_Groups_Otimes__class_Otimes(_377378, c_Groups_Oplus__class_Oplus(_377378, _377380, _377382), c_Rings_Oinverse__class_Oinverse(_377378, _377380)), c_Rings_Oinverse__class_Oinverse(_377378, _377382)))], (11987 ^ _128844) ^ [] : [-(class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal))], (9393 ^ _128844) ^ [_448642, _448644, _448646, _448648] : [class_Rings_Olinordered__semiring__strict(_448642), c_Orderings_Oord__class_Oless(_448642, c_Groups_Otimes__class_Otimes(_448642, _448644, _448646), c_Groups_Otimes__class_Otimes(_448642, _448648, _448646)), c_Orderings_Oord__class_Oless__eq(_448642, c_Groups_Ozero__class_Ozero(_448642), _448646), -(c_Orderings_Oord__class_Oless(_448642, _448644, _448648))], (12011 ^ _128844) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal))], (2254 ^ _128844) ^ [_202290, _202292, _202294, _202296, _202298] : [class_Groups_Oab__group__add(_202290), c_Groups_Ominus__class_Ominus(_202290, _202292, _202294) = c_Groups_Ominus__class_Ominus(_202290, _202296, _202298), 2261 ^ _128844 : [(2268 ^ _128844) ^ [] : [_202296 = _202298, -(_202292 = _202294)], (2262 ^ _128844) ^ [] : [_202292 = _202294, -(_202296 = _202298)]]], (2756 ^ _128844) ^ [_218063] : [c_Int_OPls = c_Int_OBit1(_218063)], (11283 ^ _128844) ^ [_512732, _512734, _512736] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512732, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _512734, _512736)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512732, _512734), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512732, _512736)))], (11901 ^ _128844) ^ [] : [-(class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat))], (7275 ^ _128844) ^ [_376316, _376318, _376320, _376322, _376324] : [class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_376316), 7278 ^ _128844 : [(7279 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_376316, c_Groups_Otimes__class_Otimes(_376316, _376318, _376322), c_Groups_Otimes__class_Otimes(_376316, _376320, _376324)) = c_Groups_Oplus__class_Oplus(_376316, c_Groups_Otimes__class_Otimes(_376316, _376318, _376324), c_Groups_Otimes__class_Otimes(_376316, _376320, _376322)), -(_376318 = _376320), -(_376322 = _376324)], (7289 ^ _128844) ^ [] : [-(c_Groups_Oplus__class_Oplus(_376316, c_Groups_Otimes__class_Otimes(_376316, _376318, _376322), c_Groups_Otimes__class_Otimes(_376316, _376320, _376324)) = c_Groups_Oplus__class_Oplus(_376316, c_Groups_Otimes__class_Otimes(_376316, _376318, _376324), c_Groups_Otimes__class_Otimes(_376316, _376320, _376322))), 7292 ^ _128844 : [(7295 ^ _128844) ^ [] : [_376322 = _376324], (7293 ^ _128844) ^ [] : [_376318 = _376320]]]]], (12123 ^ _128844) ^ [] : [-(class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex))], (5373 ^ _128844) ^ [_309205, _309207] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _309205, _309207)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309205)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309207))], (5229 ^ _128844) ^ [_303906, _303908] : [5230 ^ _128844 : [(5231 ^ _128844) ^ [_303981] : [_303908 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _303906, _303981)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _303906, _303908))], (4122 ^ _128844) ^ [_263740, _263742, _263744, _263746] : [class_Rings_Odivision__ring(_263740), -(c_Rings_Oinverse__class_Odivide(_263740, c_Groups_Ominus__class_Ominus(_263740, _263742, _263744), _263746) = c_Groups_Ominus__class_Ominus(_263740, c_Rings_Oinverse__class_Odivide(_263740, _263742, _263746), c_Rings_Oinverse__class_Odivide(_263740, _263744, _263746)))], (11415 ^ _128844) ^ [_518329, _518331] : [c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _518329, _518331), 11418 ^ _128844 : [(11421 ^ _128844) ^ [] : [-(_518331 = c_Groups_Oone__class_Oone(tc_Nat_Onat))], (11419 ^ _128844) ^ [] : [-(_518329 = c_Groups_Oone__class_Oone(tc_Nat_Onat))]]], (11747 ^ _128844) ^ [_529507, _529509, _529511] : [class_Groups_Ogroup__add(_529507), -(c_Groups_Ouminus__class_Ouminus(_529507, c_Groups_Oplus__class_Oplus(_529507, _529509, _529511)) = c_Groups_Oplus__class_Oplus(_529507, c_Groups_Ouminus__class_Ouminus(_529507, _529511), c_Groups_Ouminus__class_Ouminus(_529507, _529509)))], (4860 ^ _128844) ^ [_289637, _289639, _289641] : [class_Groups_Oordered__ab__group__add__abs(_289637), -(c_Orderings_Oord__class_Oless__eq(_289637, c_Groups_Oabs__class_Oabs(_289637, c_Groups_Ominus__class_Ominus(_289637, _289639, _289641)), c_Groups_Oplus__class_Oplus(_289637, c_Groups_Oabs__class_Oabs(_289637, _289639), c_Groups_Oabs__class_Oabs(_289637, _289641))))], (2134 ^ _128844) ^ [_198615, _198617, _198619] : [class_Orderings_Olinorder(_198615), -(c_Orderings_Oord__class_Oless(_198615, _198617, _198619)), 2141 ^ _128844 : [(2148 ^ _128844) ^ [] : [_198619 = _198617, c_Orderings_Oord__class_Oless(_198615, _198619, _198617)], (2142 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_198615, _198619, _198617)), -(_198619 = _198617)]]], (11077 ^ _128844) ^ [_504487, _504489] : [class_Int_Onumber__ring(_504487), -(c_Groups_Otimes__class_Otimes(_504487, c_Int_Onumber__class_Onumber__of(_504487, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _504489) = c_Groups_Oplus__class_Oplus(_504487, _504489, _504489))], (11985 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal))], (8529 ^ _128844) ^ [_419241, _419243, _419245] : [class_Rings_Olinordered__semiring__strict(_419241), c_Orderings_Oord__class_Oless(_419241, c_Groups_Ozero__class_Ozero(_419241), _419243), c_Orderings_Oord__class_Oless(_419241, _419245, c_Groups_Ozero__class_Ozero(_419241)), -(c_Orderings_Oord__class_Oless(_419241, c_Groups_Otimes__class_Otimes(_419241, _419245, _419243), c_Groups_Ozero__class_Ozero(_419241)))], (2758 ^ _128844) ^ [_218156, _218158] : [c_Int_OBit1(_218156) = c_Int_OBit0(_218158)], (5176 ^ _128844) ^ [_301844, _301846, _301848] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _301844, _301846), _301848), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _301846, _301848))], (5299 ^ _128844) ^ [_306710] : [class_Rings_Olinordered__semidom(_306710), c_Orderings_Oord__class_Oless__eq(_306710, c_Groups_Oone__class_Oone(_306710), c_Groups_Ozero__class_Ozero(_306710))], (11585 ^ _128844) ^ [_523769, _523771, _523773] : [class_Groups_Oordered__ab__group__add(_523769), 11588 ^ _128844 : [(11595 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_523769, _523773, c_Groups_Ouminus__class_Ouminus(_523769, _523771)), -(c_Orderings_Oord__class_Oless(_523769, _523771, c_Groups_Ouminus__class_Ouminus(_523769, _523773)))], (11589 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_523769, _523771, c_Groups_Ouminus__class_Ouminus(_523769, _523773)), -(c_Orderings_Oord__class_Oless(_523769, _523773, c_Groups_Ouminus__class_Ouminus(_523769, _523771)))]]], (4570 ^ _128844) ^ [_280095, _280097, _280099] : [class_Groups_Oordered__comm__monoid__add(_280095), c_Orderings_Oord__class_Oless__eq(_280095, c_Groups_Ozero__class_Ozero(_280095), _280097), c_Orderings_Oord__class_Oless__eq(_280095, c_Groups_Ozero__class_Ozero(_280095), _280099), 4581 ^ _128844 : [(4590 ^ _128844) ^ [] : [-(c_Groups_Oplus__class_Oplus(_280095, _280097, _280099) = c_Groups_Ozero__class_Ozero(_280095)), _280097 = c_Groups_Ozero__class_Ozero(_280095), _280099 = c_Groups_Ozero__class_Ozero(_280095)], (4582 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_280095, _280097, _280099) = c_Groups_Ozero__class_Ozero(_280095), 4585 ^ _128844 : [(4588 ^ _128844) ^ [] : [-(_280099 = c_Groups_Ozero__class_Ozero(_280095))], (4586 ^ _128844) ^ [] : [-(_280097 = c_Groups_Ozero__class_Ozero(_280095))]]]]], (2304 ^ _128844) ^ [_203977, _203979] : [class_Fields_Olinordered__field__inverse__zero(_203977), class_Int_Onumber__ring(_203977), c_Orderings_Oord__class_Oless(_203977, c_Groups_Ozero__class_Ozero(_203977), _203979), -(c_Orderings_Oord__class_Oless(_203977, c_Groups_Ozero__class_Ozero(_203977), c_Rings_Oinverse__class_Odivide(_203977, _203979, c_Int_Onumber__class_Onumber__of(_203977, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (5852 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oone__class_Oone(tc_Int_Oint)], (3614 ^ _128844) ^ [_246168] : [-(_246168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _246168))], (1415 ^ _128844) ^ [_175519, _175521] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_175519), c_Int_OBit0(_175521)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _175519, _175521))], (10221 ^ _128844) ^ [_476984, _476986] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _476984, c_NthRoot_Osqrt(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476984, _476984), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _476986, _476986)))))], (11925 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Nat_Onat))], (674 ^ _128844) ^ [_148916, _148918] : [-(class_Groups_Ozero(_148916)), _148918 = _148916, class_Groups_Ozero(_148918)], (5745 ^ _128844) ^ [_322555] : [-(c_Orderings_Oord__class_Oless(_322555, c_Groups_Ozero__class_Ozero(_322555), c_Rings_Oinverse__class_Odivide(_322555, c_Groups_Oone__class_Oone(_322555), c_Int_Onumber__class_Onumber__of(_322555, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), class_Fields_Olinordered__field__inverse__zero(_322555), class_Int_Onumber__ring(_322555)], (2732 ^ _128844) ^ [_217219, _217221, _217223] : [class_Int_Onumber__ring(_217219), -(c_Int_Onumber__class_Onumber__of(_217219, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _217221, _217223)) = c_Groups_Ominus__class_Ominus(_217219, c_Int_Onumber__class_Onumber__of(_217219, _217221), c_Int_Onumber__class_Onumber__of(_217219, _217223)))], (5000 ^ _128844) ^ [_295104, _295106, _295108] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295104, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295106, _295108)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295106, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _295104, _295108)))], (11853 ^ _128844) ^ [] : [-(class_Groups_Omonoid__mult(tc_Int_Oint))], (11827 ^ _128844) ^ [] : [-(class_Rings_Oordered__semiring(tc_Int_Oint))], (7203 ^ _128844) ^ [_373146, _373148, _373150, _373152] : [class_Rings_Ocomm__semiring__1(_373146), -(c_Groups_Otimes__class_Otimes(_373146, c_Groups_Otimes__class_Otimes(_373146, _373148, _373150), _373152) = c_Groups_Otimes__class_Otimes(_373146, c_Groups_Otimes__class_Otimes(_373146, _373148, _373152), _373150))], (11197 ^ _128844) ^ [_509550] : [-(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _509550, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (3036 ^ _128844) ^ [_227381, _227383] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _227381, _227383), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227381), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _227383)))], (3972 ^ _128844) ^ [_258306, _258308] : [class_RealVector_Oreal__normed__vector(_258306), 3975 ^ _128844 : [(3982 ^ _128844) ^ [] : [-(_258308 = c_Groups_Ozero__class_Ozero(_258306)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_258306, _258308)))], (3976 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_258306, _258308)), _258308 = c_Groups_Ozero__class_Ozero(_258306)]]], (2466 ^ _128844) ^ [_208955, _208957, _208959] : [class_Orderings_Olinorder(_208955), c_Orderings_Oord__class_Oless__eq(_208955, _208957, _208959), c_Orderings_Oord__class_Oless(_208955, _208959, _208957)], (344 ^ _128844) ^ [_139181, _139183] : [-(class_Rings_Odivision__ring__inverse__zero(_139181)), _139183 = _139181, class_Rings_Odivision__ring__inverse__zero(_139183)], (1006 ^ _128844) ^ [_161148] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1004 ^ [], _161148), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(v_s(hAPP(v_f____, _161148))), v_x____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (7501 ^ _128844) ^ [_385251, _385253, _385255] : [class_Rings_Odivision__ring__inverse__zero(_385251), c_Rings_Oinverse__class_Oinverse(_385251, _385253) = c_Rings_Oinverse__class_Oinverse(_385251, _385255), -(_385253 = _385255)], (12103 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex))], (11843 ^ _128844) ^ [] : [-(class_Groups_Oab__group__add(tc_Int_Oint))], (7967 ^ _128844) ^ [_401233, _401235, _401237] : [class_Fields_Olinordered__field(_401233), c_Orderings_Oord__class_Oless(_401233, _401235, _401237), c_Orderings_Oord__class_Oless(_401233, c_Groups_Ozero__class_Ozero(_401233), _401235), -(c_Orderings_Oord__class_Oless(_401233, c_Rings_Oinverse__class_Oinverse(_401233, _401237), c_Rings_Oinverse__class_Oinverse(_401233, _401235)))], (4208 ^ _128844) ^ [_267011, _267013, _267015] : [class_Int_Onumber__ring(_267011), -(c_Groups_Oplus__class_Oplus(_267011, c_Int_Onumber__class_Onumber__of(_267011, _267013), c_Int_Onumber__class_Onumber__of(_267011, _267015)) = c_Int_Onumber__class_Onumber__of(_267011, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _267013, _267015)))], (4280 ^ _128844) ^ [_269771, _269773] : [class_Groups_Ocomm__monoid__add(_269771), -(c_Groups_Oplus__class_Oplus(_269771, _269773, c_Groups_Ozero__class_Ozero(_269771)) = _269773)], (12017 ^ _128844) ^ [] : [-(class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal))], (11885 ^ _128844) ^ [] : [-(class_Int_Onumber(tc_Int_Oint))], (6639 ^ _128844) ^ [_352804, _352806, _352808, _352810] : [class_Rings_Olinordered__semidom(_352804), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _352806, _352808), c_Orderings_Oord__class_Oless__eq(_352804, c_Groups_Ozero__class_Ozero(_352804), _352810), c_Orderings_Oord__class_Oless__eq(_352804, _352810, c_Groups_Oone__class_Oone(_352804)), -(c_Orderings_Oord__class_Oless__eq(_352804, c_Power_Opower__class_Opower(_352804, _352810, _352808), c_Power_Opower__class_Opower(_352804, _352810, _352806)))], (11781 ^ _128844) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint))], (9027 ^ _128844) ^ [_436815, _436817, _436819] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _436815), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _436817, _436819), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _436815, _436817), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _436815, _436819)))], (1485 ^ _128844) ^ [_177821] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _177821), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_177821)))], (12027 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal))], (11753 ^ _128844) ^ [_529769, _529771, _529773] : [class_Groups_Oab__group__add(_529769), -(c_Groups_Ouminus__class_Ouminus(_529769, c_Groups_Oplus__class_Oplus(_529769, _529771, _529773)) = c_Groups_Oplus__class_Oplus(_529769, c_Groups_Ouminus__class_Ouminus(_529769, _529771), c_Groups_Ouminus__class_Ouminus(_529769, _529773)))], (12107 ^ _128844) ^ [] : [-(class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex))], (3010 ^ _128844) ^ [_226561, _226563] : [-(c_Orderings_Oord__class_Oless(tc_Int_Oint, _226561, _226563)), c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _226561, _226563), -(_226561 = _226563)], (1337 ^ _128844) ^ [_172705] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_172705)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _172705))], (12127 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex))], (1531 ^ _128844) ^ [_179416] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_179416), c_Int_OPls), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _179416, c_Int_OPls))], (11927 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Nat_Onat))], (9873 ^ _128844) ^ [_464899, _464901, _464903, _464905, _464907] : [class_Fields_Ofield(_464899), -(_464901 = c_Groups_Ozero__class_Ozero(_464899)), -(_464903 = c_Groups_Ozero__class_Ozero(_464899)), -(c_Groups_Oplus__class_Oplus(_464899, c_Rings_Oinverse__class_Odivide(_464899, _464905, _464901), c_Rings_Oinverse__class_Odivide(_464899, _464907, _464903)) = c_Rings_Oinverse__class_Odivide(_464899, c_Groups_Oplus__class_Oplus(_464899, c_Groups_Otimes__class_Otimes(_464899, _464905, _464903), c_Groups_Otimes__class_Otimes(_464899, _464907, _464901)), c_Groups_Otimes__class_Otimes(_464899, _464901, _464903)))], (4058 ^ _128844) ^ [_261276] : [class_RealVector_Oreal__normed__vector(_261276), -(c_RealVector_Onorm__class_Onorm(_261276, c_Groups_Ozero__class_Ozero(_261276)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (3940 ^ _128844) ^ [_257105, _257107, _257109] : [class_RealVector_Oreal__normed__vector(_257105), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_257105, _257107), c_RealVector_Onorm__class_Onorm(_257105, _257109))), c_RealVector_Onorm__class_Onorm(_257105, c_Groups_Ominus__class_Ominus(_257105, _257107, _257109))))], (1403 ^ _128844) ^ [_175112] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_175112), c_Int_OPls), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _175112, c_Int_OPls))], (4940 ^ _128844) ^ [_292833, _292835] : [-(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _292833, _292835), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _292833) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _292835, _292833), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))], (64 ^ _128844) ^ [_130921, _130923] : [-(class_Groups_Oordered__ab__semigroup__add__imp__le(_130921)), _130923 = _130921, class_Groups_Oordered__ab__semigroup__add__imp__le(_130923)], (1157 ^ _128844) ^ [_166520, _166522] : [-(c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Int_OBit0(_166520), c_Int_OBit0(_166522)) = c_Int_OBit0(c_Groups_Ominus__class_Ominus(tc_Int_Oint, _166520, _166522)))], (12009 ^ _128844) ^ [] : [-(class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal))], (2652 ^ _128844) ^ [_214667, _214669, _214671] : [class_Int_Onumber__ring(_214667), class_Rings_Olinordered__idom(_214667), 2659 ^ _128844 : [(2666 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _214669, _214671), -(c_Orderings_Oord__class_Oless__eq(_214667, c_Int_Onumber__class_Onumber__of(_214667, _214669), c_Int_Onumber__class_Onumber__of(_214667, _214671)))], (2660 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_214667, c_Int_Onumber__class_Onumber__of(_214667, _214669), c_Int_Onumber__class_Onumber__of(_214667, _214671)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _214669, _214671))]]], (9097 ^ _128844) ^ [_439266, _439268, _439270] : [class_Rings_Ocomm__semiring__1(_439266), -(c_Power_Opower__class_Opower(_439266, _439268, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _439270)) = c_Groups_Otimes__class_Otimes(_439266, c_Power_Opower__class_Opower(_439266, _439268, _439270), c_Power_Opower__class_Opower(_439266, _439268, _439270)))], (6523 ^ _128844) ^ [_349188, _349190, _349192, _349194] : [class_Rings_Olinordered__semidom(_349188), c_Orderings_Oord__class_Oless(_349188, c_Groups_Oone__class_Oone(_349188), _349190), c_Orderings_Oord__class_Oless(_349188, c_Power_Opower__class_Opower(_349188, _349190, _349192), c_Power_Opower__class_Opower(_349188, _349190, _349194)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _349192, _349194))], (1543 ^ _128844) ^ [_179809] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_179809)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _179809))], (1463 ^ _128844) ^ [_177144, _177146, _177148] : [class_Groups_Oordered__ab__group__add(_177144), 1466 ^ _128844 : [(1473 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_177144, c_Groups_Ominus__class_Ominus(_177144, _177146, _177148), c_Groups_Ozero__class_Ozero(_177144)), -(c_Orderings_Oord__class_Oless__eq(_177144, _177146, _177148))], (1467 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_177144, _177146, _177148), -(c_Orderings_Oord__class_Oless__eq(_177144, c_Groups_Ominus__class_Ominus(_177144, _177146, _177148), c_Groups_Ozero__class_Ozero(_177144)))]]], (4600 ^ _128844) ^ [_280989, _280991, _280993, _280995] : [class_Groups_Oordered__comm__monoid__add(_280989), c_Orderings_Oord__class_Oless__eq(_280989, c_Groups_Ozero__class_Ozero(_280989), _280991), c_Orderings_Oord__class_Oless__eq(_280989, _280993, _280995), -(c_Orderings_Oord__class_Oless__eq(_280989, _280993, c_Groups_Oplus__class_Oplus(_280989, _280991, _280995)))], (9251 ^ _128844) ^ [_444048, _444050, _444052, _444054] : [class_Rings_Olinordered__ring__strict(_444048), c_Orderings_Oord__class_Oless(_444048, c_Groups_Ozero__class_Ozero(_444048), _444050), 9258 ^ _128844 : [(9265 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_444048, _444052, _444054), -(c_Orderings_Oord__class_Oless__eq(_444048, c_Groups_Otimes__class_Otimes(_444048, _444050, _444052), c_Groups_Otimes__class_Otimes(_444048, _444050, _444054)))], (9259 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_444048, c_Groups_Otimes__class_Otimes(_444048, _444050, _444052), c_Groups_Otimes__class_Otimes(_444048, _444050, _444054)), -(c_Orderings_Oord__class_Oless__eq(_444048, _444052, _444054))]]], (6599 ^ _128844) ^ [_351567, _351569, _351571, _351573] : [class_Rings_Olinordered__semidom(_351567), c_Orderings_Oord__class_Oless(tc_Nat_Onat, _351569, _351571), c_Orderings_Oord__class_Oless(_351567, c_Groups_Ozero__class_Ozero(_351567), _351573), c_Orderings_Oord__class_Oless(_351567, _351573, c_Groups_Oone__class_Oone(_351567)), -(c_Orderings_Oord__class_Oless(_351567, c_Power_Opower__class_Opower(_351567, _351573, _351571), c_Power_Opower__class_Opower(_351567, _351573, _351569)))], (10281 ^ _128844) ^ [_478878, _478880, _478882, _478884, _478886, _478888] : [class_Rings_Olinordered__semiring__1(_478878), c_Orderings_Oord__class_Oless__eq(_478878, _478880, _478882), c_Orderings_Oord__class_Oless__eq(_478878, _478884, _478882), c_Orderings_Oord__class_Oless__eq(_478878, c_Groups_Ozero__class_Ozero(_478878), _478886), c_Orderings_Oord__class_Oless__eq(_478878, c_Groups_Ozero__class_Ozero(_478878), _478888), c_Groups_Oplus__class_Oplus(_478878, _478886, _478888) = c_Groups_Oone__class_Oone(_478878), -(c_Orderings_Oord__class_Oless__eq(_478878, c_Groups_Oplus__class_Oplus(_478878, c_Groups_Otimes__class_Otimes(_478878, _478886, _478880), c_Groups_Otimes__class_Otimes(_478878, _478888, _478884)), _478882))], (554 ^ _128844) ^ [_145376, _145378] : [-(class_Groups_Omonoid__mult(_145376)), _145378 = _145376, class_Groups_Omonoid__mult(_145378)], (8801 ^ _128844) ^ [_428989, _428991, _428993, _428995] : [-(c_Groups_Otimes__class_Otimes(_428989, c_Int_Onumber__class_Onumber__of(_428989, _428991), c_Groups_Ominus__class_Ominus(_428989, _428993, _428995)) = c_Groups_Ominus__class_Ominus(_428989, c_Groups_Otimes__class_Otimes(_428989, c_Int_Onumber__class_Onumber__of(_428989, _428991), _428993), c_Groups_Otimes__class_Otimes(_428989, c_Int_Onumber__class_Onumber__of(_428989, _428991), _428995))), class_Int_Onumber(_428989), class_Rings_Oring(_428989)], (11929 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring(tc_Nat_Onat))], (6677 ^ _128844) ^ [_354026, _354028, _354030, _354032] : [class_Rings_Olinordered__semidom(_354026), c_Orderings_Oord__class_Oless(_354026, c_Groups_Oone__class_Oone(_354026), _354028), c_Orderings_Oord__class_Oless__eq(_354026, c_Power_Opower__class_Opower(_354026, _354028, _354030), c_Power_Opower__class_Opower(_354026, _354028, _354032)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _354030, _354032))], (5904 ^ _128844) ^ [_328528, _328530] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _328528), _328530)), _328528 = c_Groups_Ozero__class_Ozero(tc_Int_Oint), -(_328530 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (2280 ^ _128844) ^ [_203112, _203114] : [_203112 = _203114, -(c_Int_OBit1(_203112) = c_Int_OBit1(_203114))], (8071 ^ _128844) ^ [_404454, _404456] : [class_Rings_Odivision__ring(_404454), -(c_Rings_Oinverse__class_Oinverse(_404454, _404456) = c_Rings_Oinverse__class_Odivide(_404454, c_Groups_Oone__class_Oone(_404454), _404456))], (7235 ^ _128844) ^ [_374678, _374680] : [class_Rings_Ocomm__semiring__1(_374678), -(c_Groups_Otimes__class_Otimes(_374678, _374680, c_Groups_Ozero__class_Ozero(_374678)) = c_Groups_Ozero__class_Ozero(_374678))], (1893 ^ _128844) ^ [_190846, _190848, _190850] : [class_Orderings_Oorder(_190846), 1896 ^ _128844 : [(1905 ^ _128844) ^ [] : [-(_190848 = _190850), c_Orderings_Oord__class_Oless__eq(_190846, _190848, _190850), c_Orderings_Oord__class_Oless__eq(_190846, _190850, _190848)], (1897 ^ _128844) ^ [] : [_190848 = _190850, 1900 ^ _128844 : [(1903 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190846, _190850, _190848))], (1901 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_190846, _190848, _190850))]]]]], (7005 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (7155 ^ _128844) ^ [_370956, _370958, _370960] : [class_Rings_Odivision__ring__inverse__zero(_370956), -(c_Rings_Oinverse__class_Oinverse(_370956, c_Power_Opower__class_Opower(_370956, _370958, _370960)) = c_Power_Opower__class_Opower(_370956, c_Rings_Oinverse__class_Oinverse(_370956, _370958), _370960))], (8981 ^ _128844) ^ [_435091, _435093, _435095, _435097] : [class_Rings_Odivision__ring(_435091), -(_435093 = c_Groups_Ozero__class_Ozero(_435091)), 8988 ^ _128844 : [(8995 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_435091, _435095, _435093) = _435097, -(_435095 = c_Rings_Oinverse__class_Odivide(_435091, _435097, _435093))], (8989 ^ _128844) ^ [] : [_435095 = c_Rings_Oinverse__class_Odivide(_435091, _435097, _435093), -(c_Groups_Otimes__class_Otimes(_435091, _435095, _435093) = _435097)]]], (9603 ^ _128844) ^ [_456023, _456025, _456027, _456029, _456031, _456033] : [class_Rings_Oordered__ring(_456023), 9606 ^ _128844 : [(9613 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456023, _456029, c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, c_Groups_Ominus__class_Ominus(_456023, _456031, _456025), _456027), _456033)), -(c_Orderings_Oord__class_Oless(_456023, c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, _456025, _456027), _456029), c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, _456031, _456027), _456033)))], (9607 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456023, c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, _456025, _456027), _456029), c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, _456031, _456027), _456033)), -(c_Orderings_Oord__class_Oless(_456023, _456029, c_Groups_Oplus__class_Oplus(_456023, c_Groups_Otimes__class_Otimes(_456023, c_Groups_Ominus__class_Ominus(_456023, _456031, _456025), _456027), _456033)))]]], (1191 ^ _128844) ^ [_167752, _167754] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _167752, _167754), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_167752), c_Int_OBit0(_167754)))], (5958 ^ _128844) ^ [_330314, _330316] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _330314, c_Groups_Oone__class_Oone(tc_Int_Oint)), _330316), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _330314, _330316))], (11361 ^ _128844) ^ [_516148, _516150] : [-(c_Rings_Oinverse__class_Odivide(tc_Complex_Ocomplex, _516148, _516150) = c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex, _516148, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, _516150)))], (11175 ^ _128844) ^ [_508491, _508493, _508495, _508497] : [class_Groups_Omonoid__mult(_508491), -(c_Power_Opower__class_Opower(_508491, _508493, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _508495, _508497)) = c_Power_Opower__class_Opower(_508491, c_Power_Opower__class_Opower(_508491, _508493, _508495), _508497))], (4704 ^ _128844) ^ [_284239, _284241, _284243] : [class_Groups_Oordered__comm__monoid__add(_284239), c_Orderings_Oord__class_Oless(_284239, _284241, c_Groups_Ozero__class_Ozero(_284239)), c_Orderings_Oord__class_Oless(_284239, _284243, c_Groups_Ozero__class_Ozero(_284239)), -(c_Orderings_Oord__class_Oless(_284239, c_Groups_Oplus__class_Oplus(_284239, _284241, _284243), c_Groups_Ozero__class_Ozero(_284239)))], (10519 ^ _128844) ^ [_486521, _486523, _486525, _486527] : [class_Fields_Olinordered__field(_486521), c_Orderings_Oord__class_Oless__eq(_486521, _486523, _486525), c_Orderings_Oord__class_Oless__eq(_486521, c_Groups_Ozero__class_Ozero(_486521), _486527), c_Orderings_Oord__class_Oless(_486521, c_Groups_Ozero__class_Ozero(_486521), c_Groups_Otimes__class_Otimes(_486521, _486525, _486523)), -(c_Orderings_Oord__class_Oless__eq(_486521, c_Rings_Oinverse__class_Odivide(_486521, _486527, _486525), c_Rings_Oinverse__class_Odivide(_486521, _486527, _486523)))], (5553 ^ _128844) ^ [_315928, _315930] : [class_Int_Onumber__ring(_315928), -(c_Int_Onumber__class_Onumber__of(_315928, c_Int_OBit1(_315930)) = c_Groups_Oplus__class_Oplus(_315928, c_Groups_Oplus__class_Oplus(_315928, c_Groups_Oone__class_Oone(_315928), c_Int_Onumber__class_Onumber__of(_315928, _315930)), c_Int_Onumber__class_Onumber__of(_315928, _315930)))], (10451 ^ _128844) ^ [_484283, _484285, _484287, _484289] : [class_Fields_Olinordered__field(_484283), c_Orderings_Oord__class_Oless(_484283, c_Groups_Ozero__class_Ozero(_484283), _484285), c_Orderings_Oord__class_Oless__eq(_484283, _484287, c_Groups_Otimes__class_Otimes(_484283, _484289, _484285)), -(c_Orderings_Oord__class_Oless__eq(_484283, c_Rings_Oinverse__class_Odivide(_484283, _484287, _484285), _484289))], (1651 ^ _128844) ^ [_183280, _183282] : [class_Int_Onumber__ring(_183280), class_Rings_Olinordered__idom(_183280), 1658 ^ _128844 : [(1665 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _183282), -(c_Orderings_Oord__class_Oless__eq(_183280, c_Groups_Ozero__class_Ozero(_183280), c_Int_Onumber__class_Onumber__of(_183280, _183282)))], (1659 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_183280, c_Groups_Ozero__class_Ozero(_183280), c_Int_Onumber__class_Onumber__of(_183280, _183282)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _183282))]]], (3776 ^ _128844) ^ [_251681, _251683] : [3777 ^ _128844 : [(3780 ^ _128844) ^ [] : [_251681 = _251683], (3778 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _251681, _251683)]], -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _251681, _251683))], (1013 ^ _128844) ^ [_161437] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1011 ^ [], _161437), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(v_s(hAPP(v_f____, hAPP(v_ga____, _161437)))), v_y____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (11871 ^ _128844) ^ [] : [-(class_Rings_Osemiring(tc_Int_Oint))], (7791 ^ _128844) ^ [_395660, _395662] : [class_Groups_Omonoid__mult(_395660), -(c_Groups_Otimes__class_Otimes(_395660, _395662, c_Groups_Oone__class_Oone(_395660)) = _395662)], (11133 ^ _128844) ^ [_506551, _506553] : [-(c_Power_Opower__class_Opower(_506551, c_Int_Onumber__class_Onumber__of(_506551, _506553), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Otimes__class_Otimes(_506551, c_Int_Onumber__class_Onumber__of(_506551, _506553), c_Int_Onumber__class_Onumber__of(_506551, _506553))), class_Groups_Omonoid__mult(_506551), class_Int_Onumber(_506551)], (494 ^ _128844) ^ [_143606, _143608] : [-(class_Rings_Ocomm__semiring__1(_143606)), _143608 = _143606, class_Rings_Ocomm__semiring__1(_143608)], (2912 ^ _128844) ^ [_223252, _223254, _223256] : [class_Fields_Olinordered__field(_223252), c_Orderings_Oord__class_Oless__eq(_223252, c_Groups_Ozero__class_Ozero(_223252), _223254), c_Orderings_Oord__class_Oless(_223252, c_Groups_Ozero__class_Ozero(_223252), _223256), -(c_Orderings_Oord__class_Oless__eq(_223252, c_Groups_Ozero__class_Ozero(_223252), c_Rings_Oinverse__class_Odivide(_223252, _223254, _223256)))], (11955 ^ _128844) ^ [] : [-(class_Groups_Ozero(tc_Nat_Onat))], (12087 ^ _128844) ^ [] : [-(class_Fields_Ofield(tc_RealDef_Oreal))], (1241 ^ _128844) ^ [_169513, _169515] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _169513, _169515), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_169513), c_Int_OBit0(_169515)))], (1525 ^ _128844) ^ [_179177, _179179] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _179177, _179179), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_179177), c_Int_OBit1(_179179)))], (5934 ^ _128844) ^ [_329436] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _329436), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _329436))], (5618 ^ _128844) ^ [_318309, _318311, _318313] : [-(hBOOL(hAPP(_318309, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _318311, _318313)))), 5621 ^ _128844 : [(5624 ^ _128844) ^ [] : [hBOOL(hAPP(_318309, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))], (5622 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _318311, _318313))]], 5626 ^ _128844 : [(5629 ^ _128844) ^ [] : [hBOOL(hAPP(_318309, 5625 ^ [_318309, _318311, _318313]))], (5627 ^ _128844) ^ [] : [-(_318311 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _318313, 5625 ^ [_318309, _318311, _318313]))]]], (2854 ^ _128844) ^ [_221428, _221430, _221432, _221434, _221436] : [class_Fields_Olinordered__field(_221428), c_Orderings_Oord__class_Oless__eq(_221428, c_Groups_Ozero__class_Ozero(_221428), _221430), c_Orderings_Oord__class_Oless(_221428, _221430, _221432), c_Orderings_Oord__class_Oless(_221428, c_Groups_Ozero__class_Ozero(_221428), _221434), c_Orderings_Oord__class_Oless__eq(_221428, _221434, _221436), -(c_Orderings_Oord__class_Oless(_221428, c_Rings_Oinverse__class_Odivide(_221428, _221430, _221436), c_Rings_Oinverse__class_Odivide(_221428, _221432, _221434)))], (7011 ^ _128844) ^ [_365553] : [c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(_365553), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _365553, -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _365553))], (4070 ^ _128844) ^ [_261704, _261706] : [class_RealVector_Oreal__normed__vector(_261704), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_261704, _261706), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (8015 ^ _128844) ^ [_402696, _402698] : [class_Fields_Olinordered__field__inverse__zero(_402696), 8018 ^ _128844 : [(8025 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_402696, _402698, c_Groups_Ozero__class_Ozero(_402696)), -(c_Orderings_Oord__class_Oless(_402696, c_Rings_Oinverse__class_Oinverse(_402696, _402698), c_Groups_Ozero__class_Ozero(_402696)))], (8019 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_402696, c_Rings_Oinverse__class_Oinverse(_402696, _402698), c_Groups_Ozero__class_Ozero(_402696)), -(c_Orderings_Oord__class_Oless(_402696, _402698, c_Groups_Ozero__class_Ozero(_402696)))]]], (11903 ^ _128844) ^ [] : [-(class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat))], (5020 ^ _128844) ^ [_295789] : [class_Rings_Ozero__neq__one(_295789), c_Groups_Ozero__class_Ozero(_295789) = c_Groups_Oone__class_Oone(_295789)], (9159 ^ _128844) ^ [_441264, _441266] : [class_Fields_Olinordered__field__inverse__zero(_441264), 9162 ^ _128844 : [(9163 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_441264, c_Rings_Oinverse__class_Oinverse(_441264, _441266), c_Groups_Oone__class_Oone(_441264)), -(c_Orderings_Oord__class_Oless__eq(_441264, _441266, c_Groups_Ozero__class_Ozero(_441264))), -(c_Orderings_Oord__class_Oless__eq(_441264, c_Groups_Oone__class_Oone(_441264), _441266))], (9173 ^ _128844) ^ [] : [9174 ^ _128844 : [(9177 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_441264, c_Groups_Oone__class_Oone(_441264), _441266)], (9175 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_441264, _441266, c_Groups_Ozero__class_Ozero(_441264))]], -(c_Orderings_Oord__class_Oless__eq(_441264, c_Rings_Oinverse__class_Oinverse(_441264, _441266), c_Groups_Oone__class_Oone(_441264)))]]], (11349 ^ _128844) ^ [_515579, _515581, _515583] : [class_Int_Onumber__ring(_515579), -(c_Groups_Otimes__class_Otimes(_515579, c_Groups_Ouminus__class_Ouminus(_515579, c_Int_Onumber__class_Onumber__of(_515579, _515581)), _515583) = c_Groups_Otimes__class_Otimes(_515579, c_Int_Onumber__class_Onumber__of(_515579, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _515581)), _515583))], (1003 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_e____))], (5269 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)], (3374 ^ _128844) ^ [_238193, _238195, _238197] : [class_Fields_Olinordered__field(_238193), c_Orderings_Oord__class_Oless(_238193, c_Groups_Ozero__class_Ozero(_238193), _238195), c_Orderings_Oord__class_Oless(_238193, _238197, c_Groups_Ozero__class_Ozero(_238193)), -(c_Orderings_Oord__class_Oless(_238193, c_Rings_Oinverse__class_Odivide(_238193, _238195, _238197), c_Groups_Ozero__class_Ozero(_238193)))], (7215 ^ _128844) ^ [_373756, _373758, _373760, _373762, _373764] : [class_Rings_Ocomm__semiring__1(_373756), -(c_Groups_Otimes__class_Otimes(_373756, c_Groups_Otimes__class_Otimes(_373756, _373758, _373760), c_Groups_Otimes__class_Otimes(_373756, _373762, _373764)) = c_Groups_Otimes__class_Otimes(_373756, _373762, c_Groups_Otimes__class_Otimes(_373756, c_Groups_Otimes__class_Otimes(_373756, _373758, _373760), _373764)))], (5062 ^ _128844) ^ [_297215] : [-(c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _297215) = _297215)], (1873 ^ _128844) ^ [_190160, _190162, _190164, _190166, _190168] : [class_Orderings_Oord(_190160), c_Orderings_Oord__class_Oless__eq(tc_fun(_190162, _190160), _190164, _190166), -(c_Orderings_Oord__class_Oless__eq(_190160, hAPP(_190164, _190168), hAPP(_190166, _190168)))], (11121 ^ _128844) ^ [_506101, _506103, _506105] : [_506101 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _506103, c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506105)), -(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506101) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _506103, _506105))], (8795 ^ _128844) ^ [_428711, _428713, _428715] : [class_Rings_Ocomm__semiring__1(_428711), -(c_Groups_Oplus__class_Oplus(_428711, c_Groups_Otimes__class_Otimes(_428711, _428713, _428715), _428715) = c_Groups_Otimes__class_Otimes(_428711, c_Groups_Oplus__class_Oplus(_428711, _428713, c_Groups_Oone__class_Oone(_428711)), _428715))], (9619 ^ _128844) ^ [_456663, _456665, _456667, _456669] : [class_Fields_Olinordered__field__inverse__zero(_456663), 9622 ^ _128844 : [(9623 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, _456665, c_Rings_Oinverse__class_Odivide(_456663, _456667, _456669)), 9626 ^ _128844 : [(9633 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_456663, c_Groups_Ozero__class_Ozero(_456663), _456669)), 9636 ^ _128844 : [(9643 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_456663, _456669, c_Groups_Ozero__class_Ozero(_456663))), -(c_Orderings_Oord__class_Oless(_456663, _456665, c_Groups_Ozero__class_Ozero(_456663)))], (9637 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, _456669, c_Groups_Ozero__class_Ozero(_456663)), -(c_Orderings_Oord__class_Oless(_456663, _456667, c_Groups_Otimes__class_Otimes(_456663, _456665, _456669)))]]], (9627 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, c_Groups_Ozero__class_Ozero(_456663), _456669), -(c_Orderings_Oord__class_Oless(_456663, c_Groups_Otimes__class_Otimes(_456663, _456665, _456669), _456667))]]], (9649 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_456663, _456665, c_Rings_Oinverse__class_Odivide(_456663, _456667, _456669))), 9652 ^ _128844 : [(9655 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, c_Groups_Otimes__class_Otimes(_456663, _456665, _456669), _456667)], (9653 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_456663, c_Groups_Ozero__class_Ozero(_456663), _456669))]], 9656 ^ _128844 : [(9659 ^ _128844) ^ [] : [9660 ^ _128844 : [(9663 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, _456667, c_Groups_Otimes__class_Otimes(_456663, _456665, _456669))], (9661 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_456663, _456669, c_Groups_Ozero__class_Ozero(_456663)))]], 9664 ^ _128844 : [(9667 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, _456665, c_Groups_Ozero__class_Ozero(_456663))], (9665 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, _456669, c_Groups_Ozero__class_Ozero(_456663))]]], (9657 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_456663, c_Groups_Ozero__class_Ozero(_456663), _456669)]]]]], (6691 ^ _128844) ^ [_354480, _354482, _354484] : [class_Rings_Olinordered__semidom(_354480), c_Orderings_Oord__class_Oless(_354480, c_Groups_Oone__class_Oone(_354480), _354482), c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _354484), -(c_Orderings_Oord__class_Oless(_354480, c_Groups_Oone__class_Oone(_354480), c_Power_Opower__class_Opower(_354480, _354482, _354484)))], (7739 ^ _128844) ^ [_393676, _393678, _393680, _393682, _393684] : [class_RealVector_Oreal__normed__algebra(_393676), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_393676, _393678), _393680), c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_393676, _393682), _393684), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_393676, c_Groups_Otimes__class_Otimes(_393676, _393678, _393682)), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _393680, _393684)))], (1203 ^ _128844) ^ [_168179, _168181] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _168179, _168181), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_168179), c_Int_OBit0(_168181)))], (11833 ^ _128844) ^ [] : [-(class_Groups_Ocomm__monoid__add(tc_Int_Oint))], (544 ^ _128844) ^ [_145081, _145083] : [-(class_Rings_Ozero__neq__one(_145081)), _145083 = _145081, class_Rings_Ozero__neq__one(_145083)], (7559 ^ _128844) ^ [_387626, _387628, _387630] : [class_Fields_Ofield__inverse__zero(_387626), -(c_Rings_Oinverse__class_Oinverse(_387626, c_Groups_Otimes__class_Otimes(_387626, _387628, _387630)) = c_Groups_Otimes__class_Otimes(_387626, c_Rings_Oinverse__class_Oinverse(_387626, _387628), c_Rings_Oinverse__class_Oinverse(_387626, _387630)))], (6657 ^ _128844) ^ [_353375, _353377, _353379, _353381] : [class_Rings_Olinordered__semidom(_353375), c_Orderings_Oord__class_Oless(_353375, c_Groups_Oone__class_Oone(_353375), _353377), 6664 ^ _128844 : [(6671 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _353379, _353381), -(c_Orderings_Oord__class_Oless__eq(_353375, c_Power_Opower__class_Opower(_353375, _353377, _353379), c_Power_Opower__class_Opower(_353375, _353377, _353381)))], (6665 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_353375, c_Power_Opower__class_Opower(_353375, _353377, _353379), c_Power_Opower__class_Opower(_353375, _353377, _353381)), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _353379, _353381))]]], (4540 ^ _128844) ^ [_279153, _279155] : [class_Groups_Olinordered__ab__group__add(_279153), 4543 ^ _128844 : [(4550 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_279153, _279155, c_Groups_Ozero__class_Ozero(_279153)), -(c_Orderings_Oord__class_Oless__eq(_279153, c_Groups_Oplus__class_Oplus(_279153, _279155, _279155), c_Groups_Ozero__class_Ozero(_279153)))], (4544 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_279153, c_Groups_Oplus__class_Oplus(_279153, _279155, _279155), c_Groups_Ozero__class_Ozero(_279153)), -(c_Orderings_Oord__class_Oless__eq(_279153, _279155, c_Groups_Ozero__class_Ozero(_279153)))]]], (1233 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls))], (6805 ^ _128844) ^ [_358220, _358222] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _358220, _358222), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_358220), c_NthRoot_Osqrt(_358222)))], (6115 ^ _128844) ^ [_335598, _335600, _335602] : [class_Rings_Olinordered__idom(_335598), 6118 ^ _128844 : [(6127 ^ _128844) ^ [] : [-(c_Groups_Oplus__class_Oplus(_335598, c_Power_Opower__class_Opower(_335598, _335600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_335598, _335602, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_335598)), _335600 = c_Groups_Ozero__class_Ozero(_335598), _335602 = c_Groups_Ozero__class_Ozero(_335598)], (6119 ^ _128844) ^ [] : [c_Groups_Oplus__class_Oplus(_335598, c_Power_Opower__class_Opower(_335598, _335600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_335598, _335602, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_335598), 6122 ^ _128844 : [(6125 ^ _128844) ^ [] : [-(_335602 = c_Groups_Ozero__class_Ozero(_335598))], (6123 ^ _128844) ^ [] : [-(_335600 = c_Groups_Ozero__class_Ozero(_335598))]]]]], (2928 ^ _128844) ^ [_223745, _223747, _223749] : [class_Fields_Olinordered__field(_223745), -(_223747 = c_Groups_Ozero__class_Ozero(_223745)), -(c_Groups_Oabs__class_Oabs(_223745, c_Rings_Oinverse__class_Odivide(_223745, _223749, _223747)) = c_Rings_Oinverse__class_Odivide(_223745, c_Groups_Oabs__class_Oabs(_223745, _223749), c_Groups_Oabs__class_Oabs(_223745, _223747)))], (2218 ^ _128844) ^ [_201157, _201159, _201161] : [class_Int_Onumber__ring(_201157), class_Int_Oring__char__0(_201157), 2225 ^ _128844 : [(2232 ^ _128844) ^ [] : [_201159 = _201161, -(c_Int_Onumber__class_Onumber__of(_201157, _201159) = c_Int_Onumber__class_Onumber__of(_201157, _201161))], (2226 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_201157, _201159) = c_Int_Onumber__class_Onumber__of(_201157, _201161), -(_201159 = _201161)]]], (3870 ^ _128844) ^ [_254810, _254812] : [c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _254810, _254812) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254810, _254812))], (5122 ^ _128844) ^ [_299625, _299627, _299629] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _299627, _299629), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299625, _299627), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _299625, _299629)))], (9723 ^ _128844) ^ [_459927, _459929, _459931, _459933] : [class_Fields_Olinordered__field(_459927), c_Orderings_Oord__class_Oless(_459927, c_Groups_Ozero__class_Ozero(_459927), _459929), 9730 ^ _128844 : [(9737 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_459927, c_Groups_Otimes__class_Otimes(_459927, _459931, _459929), _459933), -(c_Orderings_Oord__class_Oless(_459927, _459931, c_Rings_Oinverse__class_Odivide(_459927, _459933, _459929)))], (9731 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_459927, _459931, c_Rings_Oinverse__class_Odivide(_459927, _459933, _459929)), -(c_Orderings_Oord__class_Oless(_459927, c_Groups_Otimes__class_Otimes(_459927, _459931, _459929), _459933))]]], (934 ^ _128844) ^ [_158423, _158425] : [_158425 = _158423, -(c_Complex_OIm(_158425) = c_Complex_OIm(_158423))], (1433 ^ _128844) ^ [_176120, _176122] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _176120, _176122), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_176120), c_Int_OBit0(_176122)))], (704 ^ _128844) ^ [_149801, _149803] : [-(class_Int_Onumber(_149801)), _149803 = _149801, class_Int_Onumber(_149803)], (2962 ^ _128844) ^ [_224922, _224924] : [-(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _224922, _224924)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _224924, _224922))], (3104 ^ _128844) ^ [_229643] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _229643), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _229643)))], (1825 ^ _128844) ^ [_188668, _188670, _188672, _188674] : [class_Orderings_Oorder(_188668), _188670 = _188672, c_Orderings_Oord__class_Oless__eq(_188668, _188674, _188672), -(c_Orderings_Oord__class_Oless__eq(_188668, _188674, _188670))], (12037 ^ _128844) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_RealDef_Oreal))], (11805 ^ _128844) ^ [] : [-(class_Rings_Olinordered__ring__strict(tc_Int_Oint))], (3762 ^ _128844) ^ [_251096, _251098, _251100] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _251096, _251098), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _251096, _251100), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _251098, _251100)))], (5383 ^ _128844) ^ [_309471, _309473] : [5384 ^ _128844 : [(5387 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309473)], (5385 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _309471)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _309471, _309473)))], (2794 ^ _128844) ^ [_219459, _219461, _219463] : [class_Fields_Olinordered__field__inverse__zero(_219459), c_Orderings_Oord__class_Oless(_219459, c_Groups_Ozero__class_Ozero(_219459), _219461), -(c_Rings_Oinverse__class_Odivide(_219459, c_Groups_Oabs__class_Oabs(_219459, _219463), _219461) = c_Groups_Oabs__class_Oabs(_219459, c_Rings_Oinverse__class_Odivide(_219459, _219463, _219461)))], (1115 ^ _128844) ^ [_165215, _165217] : [-(_165215 = _165217), c_Complex_ORe(_165215) = c_Complex_ORe(_165217), c_Complex_OIm(_165215) = c_Complex_OIm(_165217)], (4134 ^ _128844) ^ [_264316, _264318, _264320, _264322] : [class_Groups_Ocancel__semigroup__add(_264316), c_Groups_Oplus__class_Oplus(_264316, _264318, _264320) = c_Groups_Oplus__class_Oplus(_264316, _264322, _264320), -(_264318 = _264322)], (7331 ^ _128844) ^ [_378374, _378376, _378378, _378380, _378382] : [class_Rings_Osemiring(_378374), -(c_Groups_Oplus__class_Oplus(_378374, c_Groups_Otimes__class_Otimes(_378374, _378376, _378378), c_Groups_Oplus__class_Oplus(_378374, c_Groups_Otimes__class_Otimes(_378374, _378380, _378378), _378382)) = c_Groups_Oplus__class_Oplus(_378374, c_Groups_Otimes__class_Otimes(_378374, c_Groups_Oplus__class_Oplus(_378374, _378376, _378380), _378378), _378382))], (5323 ^ _128844) ^ [_307556, _307558, _307560] : [class_Rings_Odivision__ring(_307556), -(_307558 = c_Groups_Ozero__class_Ozero(_307556)), 5330 ^ _128844 : [(5337 ^ _128844) ^ [] : [_307560 = _307558, -(c_Rings_Oinverse__class_Odivide(_307556, _307560, _307558) = c_Groups_Oone__class_Oone(_307556))], (5331 ^ _128844) ^ [] : [c_Rings_Oinverse__class_Odivide(_307556, _307560, _307558) = c_Groups_Oone__class_Oone(_307556), -(_307560 = _307558)]]], (8705 ^ _128844) ^ [_424945, _424947, _424949] : [class_Rings_Olinordered__semidom(_424945), c_Orderings_Oord__class_Oless(_424945, c_Groups_Oone__class_Oone(_424945), _424947), c_Orderings_Oord__class_Oless(_424945, c_Groups_Oone__class_Oone(_424945), _424949), -(c_Orderings_Oord__class_Oless(_424945, c_Groups_Oone__class_Oone(_424945), c_Groups_Otimes__class_Otimes(_424945, _424947, _424949)))], (11905 ^ _128844) ^ [] : [-(class_Rings_Oordered__cancel__semiring(tc_Nat_Onat))], (11939 ^ _128844) ^ [] : [-(class_Groups_Omonoid__add(tc_Nat_Onat))], (10431 ^ _128844) ^ [_483632, _483634, _483636, _483638] : [class_Fields_Olinordered__field(_483632), c_Orderings_Oord__class_Oless(_483632, c_Groups_Ozero__class_Ozero(_483632), _483634), 10438 ^ _128844 : [(10445 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_483632, _483636, c_Groups_Otimes__class_Otimes(_483632, _483638, _483634)), -(c_Orderings_Oord__class_Oless__eq(_483632, c_Rings_Oinverse__class_Odivide(_483632, _483636, _483634), _483638))], (10439 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_483632, c_Rings_Oinverse__class_Odivide(_483632, _483636, _483634), _483638), -(c_Orderings_Oord__class_Oless__eq(_483632, _483636, c_Groups_Otimes__class_Otimes(_483632, _483638, _483634)))]]], (11451 ^ _128844) ^ [_519550, _519552] : [class_Groups_Oordered__ab__group__add__abs(_519550), -(c_Groups_Oabs__class_Oabs(_519550, c_Groups_Ouminus__class_Ouminus(_519550, _519552)) = c_Groups_Oabs__class_Oabs(_519550, _519552))], (6339 ^ _128844) ^ [_343102, _343104, _343106] : [class_Rings_Olinordered__semidom(_343102), c_Orderings_Oord__class_Oless__eq(_343102, c_Groups_Ozero__class_Ozero(_343102), _343104), -(c_Orderings_Oord__class_Oless__eq(_343102, c_Groups_Ozero__class_Ozero(_343102), c_Power_Opower__class_Opower(_343102, _343104, _343106)))], (11285 ^ _128844) ^ [_512862, _512864, _512866] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _512862, _512864), _512866) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512862, _512866), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _512864, _512866)))], (3528 ^ _128844) ^ [_243161] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _243161) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (7705 ^ _128844) ^ [_392588, _392590] : [class_Rings_Odivision__ring(_392588), c_Rings_Oinverse__class_Oinverse(_392588, _392590) = c_Groups_Ozero__class_Ozero(_392588), -(_392590 = c_Groups_Ozero__class_Ozero(_392588))], (3784 ^ _128844) ^ [_251969, _251971] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _251969, _251971), -(_251969 = _251971), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _251969, _251971))], (604 ^ _128844) ^ [_146851, _146853] : [-(class_Rings_Omult__zero(_146851)), _146853 = _146851, class_Rings_Omult__zero(_146853)], (10805 ^ _128844) ^ [_495725, _495727, _495729, _495731] : [class_RealVector_Oreal__normed__vector(_495725), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _495727, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_495725, _495729), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _495727, c_RealVector_Onorm__class_Onorm(_495725, _495731))), -(_495729 = c_Groups_Ozero__class_Ozero(_495725))], (4498 ^ _128844) ^ [_277609, _277611, _277613] : [class_Groups_Oordered__ab__group__add__abs(_277609), -(c_Groups_Oabs__class_Oabs(_277609, c_Groups_Oplus__class_Oplus(_277609, c_Groups_Oabs__class_Oabs(_277609, _277611), c_Groups_Oabs__class_Oabs(_277609, _277613))) = c_Groups_Oplus__class_Oplus(_277609, c_Groups_Oabs__class_Oabs(_277609, _277611), c_Groups_Oabs__class_Oabs(_277609, _277613)))], (1457 ^ _128844) ^ [_176916] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _176916), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_176916)))], (394 ^ _128844) ^ [_140656, _140658] : [-(class_RealVector_Oreal__normed__vector(_140656)), _140658 = _140656, class_RealVector_Oreal__normed__vector(_140658)], (11845 ^ _128844) ^ [] : [-(class_Rings_Ozero__neq__one(tc_Int_Oint))], (10223 ^ _128844) ^ [_477108, _477110] : [class_Fields_Olinordered__field__inverse__zero(_477108), 10226 ^ _128844 : [(10235 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_477108, c_Groups_Oone__class_Oone(_477108), c_Rings_Oinverse__class_Oinverse(_477108, _477110))), c_Orderings_Oord__class_Oless(_477108, c_Groups_Ozero__class_Ozero(_477108), _477110), c_Orderings_Oord__class_Oless__eq(_477108, _477110, c_Groups_Oone__class_Oone(_477108))], (10227 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_477108, c_Groups_Oone__class_Oone(_477108), c_Rings_Oinverse__class_Oinverse(_477108, _477110)), 10230 ^ _128844 : [(10233 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_477108, _477110, c_Groups_Oone__class_Oone(_477108)))], (10231 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_477108, c_Groups_Ozero__class_Ozero(_477108), _477110))]]]]], (980 ^ _128844) ^ [_160093, _160095] : [_160095 = _160093, -(c_Int_OBit0(_160095) = c_Int_OBit0(_160093))], (3230 ^ _128844) ^ [_233706, _233708, _233710] : [class_Fields_Olinordered__field__inverse__zero(_233706), 3233 ^ _128844 : [(3248 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233706, c_Rings_Oinverse__class_Odivide(_233706, _233708, _233710), c_Groups_Ozero__class_Ozero(_233706))), 3249 ^ _128844 : [(3256 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_233706, _233708, c_Groups_Ozero__class_Ozero(_233706)), c_Orderings_Oord__class_Oless__eq(_233706, c_Groups_Ozero__class_Ozero(_233706), _233710)], (3250 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_233706, c_Groups_Ozero__class_Ozero(_233706), _233708), c_Orderings_Oord__class_Oless__eq(_233706, _233710, c_Groups_Ozero__class_Ozero(_233706))]]], (3234 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_233706, c_Rings_Oinverse__class_Odivide(_233706, _233708, _233710), c_Groups_Ozero__class_Ozero(_233706)), 3239 ^ _128844 : [(3242 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233706, _233710, c_Groups_Ozero__class_Ozero(_233706)))], (3240 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233706, c_Groups_Ozero__class_Ozero(_233706), _233708))]], 3243 ^ _128844 : [(3246 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233706, c_Groups_Ozero__class_Ozero(_233706), _233710))], (3244 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_233706, _233708, c_Groups_Ozero__class_Ozero(_233706)))]]]]], (986 ^ _128844) ^ [_160291, _160293] : [_160293 = _160291, -(c_Int_OBit1(_160293) = c_Int_OBit1(_160291))], (6157 ^ _128844) ^ [_337002, _337004, _337006] : [class_Rings_Olinordered__semidom(_337002), c_Orderings_Oord__class_Oless(_337002, c_Power_Opower__class_Opower(_337002, _337004, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_337002, _337006, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Orderings_Oord__class_Oless__eq(_337002, c_Groups_Ozero__class_Ozero(_337002), _337006), -(c_Orderings_Oord__class_Oless(_337002, _337004, _337006))], (9021 ^ _128844) ^ [_436541, _436543, _436545, _436547] : [class_Rings_Ocomm__semiring__1(_436541), -(c_Groups_Otimes__class_Otimes(_436541, c_Power_Opower__class_Opower(_436541, _436543, _436545), c_Power_Opower__class_Opower(_436541, _436543, _436547)) = c_Power_Opower__class_Opower(_436541, _436543, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _436545, _436547)))], (11295 ^ _128844) ^ [_513493, _513495, _513497] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _513493, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _513495, _513497)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, c_Groups_Otimes__class_Otimes(tc_Int_Oint, _513493, _513495), c_Groups_Otimes__class_Otimes(tc_Int_Oint, _513493, _513497)))], (44 ^ _128844) ^ [_130331, _130333] : [-(hBOOL(_130331)), _130333 = _130331, hBOOL(_130333)], (1064 ^ _128844) ^ [_163379, _163381, _163383] : [class_Groups_Oordered__ab__group__add__abs(_163379), -(c_Orderings_Oord__class_Oless__eq(_163379, c_Groups_Ominus__class_Ominus(_163379, c_Groups_Oabs__class_Oabs(_163379, _163381), c_Groups_Oabs__class_Oabs(_163379, _163383)), c_Groups_Oabs__class_Oabs(_163379, c_Groups_Ominus__class_Ominus(_163379, _163383, _163381))))], (10267 ^ _128844) ^ [_478412, _478414] : [class_Fields_Olinordered__field(_478412), c_Orderings_Oord__class_Oless(_478412, c_Groups_Ozero__class_Ozero(_478412), _478414), c_Orderings_Oord__class_Oless__eq(_478412, _478414, c_Groups_Oone__class_Oone(_478412)), -(c_Orderings_Oord__class_Oless__eq(_478412, c_Groups_Oone__class_Oone(_478412), c_Rings_Oinverse__class_Oinverse(_478412, _478414)))], (3488 ^ _128844) ^ [_241803] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _241803))], (234 ^ _128844) ^ [_135936, _135938] : [-(class_Rings_Oordered__semiring(_135936)), _135938 = _135936, class_Rings_Oordered__semiring(_135938)], (364 ^ _128844) ^ [_139771, _139773] : [-(class_RealVector_Oreal__normed__algebra(_139771)), _139773 = _139771, class_RealVector_Oreal__normed__algebra(_139773)], (4302 ^ _128844) ^ [_270501, _270503, _270505, _270507] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_270501), c_Orderings_Oord__class_Oless__eq(_270501, c_Groups_Oplus__class_Oplus(_270501, _270503, _270505), c_Groups_Oplus__class_Oplus(_270501, _270503, _270507)), -(c_Orderings_Oord__class_Oless__eq(_270501, _270505, _270507))], (6759 ^ _128844) ^ [_356657] : [c_NthRoot_Osqrt(_356657) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal), -(_356657 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (3434 ^ _128844) ^ [_240102, _240104] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _240102, _240104), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _240102, _240104), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (1621 ^ _128844) ^ [_182275, _182277] : [class_Groups_Oordered__ab__group__add__abs(_182275), c_Orderings_Oord__class_Oless(_182275, c_Groups_Oabs__class_Oabs(_182275, _182277), c_Groups_Ozero__class_Ozero(_182275))], (12071 ^ _128844) ^ [] : [-(class_Groups_Ogroup__add(tc_RealDef_Oreal))], (4128 ^ _128844) ^ [_264028, _264030, _264032, _264034] : [class_Rings_Odivision__ring(_264028), -(c_Rings_Oinverse__class_Odivide(_264028, c_Groups_Oplus__class_Oplus(_264028, _264030, _264032), _264034) = c_Groups_Oplus__class_Oplus(_264028, c_Rings_Oinverse__class_Odivide(_264028, _264030, _264034), c_Rings_Oinverse__class_Odivide(_264028, _264032, _264034)))], (3490 ^ _128844) ^ [_241881] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _241881, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (5523 ^ _128844) ^ [_314773, _314775] : [-(c_Complex_ORe(c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _314773, _314775)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Complex_ORe(_314773), c_Complex_ORe(_314775)))], (9117 ^ _128844) ^ [_439970, _439972, _439974] : [class_Fields_Olinordered__field(_439970), c_Orderings_Oord__class_Oless__eq(_439970, _439972, _439974), c_Orderings_Oord__class_Oless(_439970, _439974, c_Groups_Ozero__class_Ozero(_439970)), -(c_Orderings_Oord__class_Oless__eq(_439970, c_Rings_Oinverse__class_Oinverse(_439970, _439974), c_Rings_Oinverse__class_Oinverse(_439970, _439972)))], (11809 ^ _128844) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_Int_Oint))], (7571 ^ _128844) ^ [_388124, _388126] : [class_Rings_Omult__zero(_388124), -(c_Groups_Otimes__class_Otimes(_388124, c_Groups_Ozero__class_Ozero(_388124), _388126) = c_Groups_Ozero__class_Ozero(_388124))], (6359 ^ _128844) ^ [_343784, _343786, _343788] : [class_Rings_Olinordered__semidom(_343784), c_Orderings_Oord__class_Oless__eq(_343784, c_Groups_Oone__class_Oone(_343784), _343786), -(c_Orderings_Oord__class_Oless__eq(_343784, c_Groups_Oone__class_Oone(_343784), c_Power_Opower__class_Opower(_343784, _343786, _343788)))], (5635 ^ _128844) ^ [_318993, _318995] : [-(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _318993, _318995)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _318993)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _318995)))], (5602 ^ _128844) ^ [_317770, _317772, _317774] : [hBOOL(hAPP(_317770, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _317772, _317774))), 5605 ^ _128844 : [(5612 ^ _128844) ^ [_318108] : [_317772 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _317774, _318108), -(hBOOL(hAPP(_317770, _318108)))], (5606 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _317772, _317774), -(hBOOL(hAPP(_317770, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))]]], (4036 ^ _128844) ^ [_260591, _260593] : [class_RealVector_Oreal__normed__vector(_260591), -(c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_260591, _260593)) = c_RealVector_Onorm__class_Onorm(_260591, _260593))], (5571 ^ _128844) ^ [_316617, _316619, _316621] : [hBOOL(hAPP(_316617, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _316619, _316621))), 5574 ^ _128844 : [(5581 ^ _128844) ^ [_316949] : [_316619 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _316621, _316949), -(hBOOL(hAPP(_316617, _316949)))], (5575 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _316619, _316621), -(hBOOL(hAPP(_316617, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))]]], (6455 ^ _128844) ^ [_346898, _346900] : [6456 ^ _128844 : [(6459 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _346898)], (6457 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _346900) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)]], -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _346898, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _346900))))], (9907 ^ _128844) ^ [_466217, _466219, _466221, _466223] : [class_Fields_Ofield(_466217), -(_466219 = c_Groups_Ozero__class_Ozero(_466217)), -(c_Groups_Oplus__class_Oplus(_466217, _466221, c_Rings_Oinverse__class_Odivide(_466217, _466223, _466219)) = c_Rings_Oinverse__class_Odivide(_466217, c_Groups_Oplus__class_Oplus(_466217, c_Groups_Otimes__class_Otimes(_466217, _466219, _466221), _466223), _466219))], (1331 ^ _128844) ^ [_172476] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _172476, c_Int_OPls), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_172476), c_Int_OPls))], (6771 ^ _128844) ^ [_357012, _357014] : [-(c_NthRoot_Osqrt(c_Power_Opower__class_Opower(tc_RealDef_Oreal, _357012, _357014)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(_357012), _357014))], (11935 ^ _128844) ^ [] : [-(class_Orderings_Olinorder(tc_Nat_Onat))], (7039 ^ _128844) ^ [_366446] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _366446), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(_366446), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (5816 ^ _128844) ^ [_325191, _325193, _325195] : [_325191 = _325195, -(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325191, _325193) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325195, _325193))], (10903 ^ _128844) ^ [_498963, _498965, _498967, _498969] : [class_Fields_Olinordered__field__inverse__zero(_498963), class_Int_Onumber(_498963), 10910 ^ _128844 : [(10911 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), c_Rings_Oinverse__class_Odivide(_498963, _498967, _498969)), 10914 ^ _128844 : [(10921 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_498963, c_Groups_Ozero__class_Ozero(_498963), _498969)), 10924 ^ _128844 : [(10931 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_498963, _498969, c_Groups_Ozero__class_Ozero(_498963))), -(c_Orderings_Oord__class_Oless__eq(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), c_Groups_Ozero__class_Ozero(_498963)))], (10925 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_498963, _498969, c_Groups_Ozero__class_Ozero(_498963)), -(c_Orderings_Oord__class_Oless__eq(_498963, _498967, c_Groups_Otimes__class_Otimes(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), _498969)))]]], (10915 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_498963, c_Groups_Ozero__class_Ozero(_498963), _498969), -(c_Orderings_Oord__class_Oless__eq(_498963, c_Groups_Otimes__class_Otimes(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), _498969), _498967))]]], (10937 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), c_Rings_Oinverse__class_Odivide(_498963, _498967, _498969))), 10940 ^ _128844 : [(10943 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_498963, c_Groups_Otimes__class_Otimes(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), _498969), _498967)], (10941 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_498963, c_Groups_Ozero__class_Ozero(_498963), _498969))]], 10944 ^ _128844 : [(10947 ^ _128844) ^ [] : [10948 ^ _128844 : [(10951 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_498963, _498967, c_Groups_Otimes__class_Otimes(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), _498969))], (10949 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless(_498963, _498969, c_Groups_Ozero__class_Ozero(_498963)))]], 10952 ^ _128844 : [(10955 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_498963, c_Int_Onumber__class_Onumber__of(_498963, _498965), c_Groups_Ozero__class_Ozero(_498963))], (10953 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_498963, _498969, c_Groups_Ozero__class_Ozero(_498963))]]], (10945 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_498963, c_Groups_Ozero__class_Ozero(_498963), _498969)]]]]], (9291 ^ _128844) ^ [_445364, _445366, _445368, _445370, _445372] : [class_Rings_Olinordered__semiring__strict(_445364), c_Orderings_Oord__class_Oless(_445364, _445366, _445368), c_Orderings_Oord__class_Oless(_445364, _445370, _445372), c_Orderings_Oord__class_Oless(_445364, c_Groups_Ozero__class_Ozero(_445364), _445368), c_Orderings_Oord__class_Oless__eq(_445364, c_Groups_Ozero__class_Ozero(_445364), _445370), -(c_Orderings_Oord__class_Oless(_445364, c_Groups_Otimes__class_Otimes(_445364, _445366, _445370), c_Groups_Otimes__class_Otimes(_445364, _445368, _445372)))], (7657 ^ _128844) ^ [_391040, _391042, _391044] : [class_Fields_Ofield__inverse__zero(_391040), -(c_Rings_Oinverse__class_Oinverse(_391040, c_Rings_Oinverse__class_Odivide(_391040, _391042, _391044)) = c_Rings_Oinverse__class_Odivide(_391040, _391044, _391042))], (7141 ^ _128844) ^ [_370368] : [-(c_Complex_ORe(c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, _370368)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Complex_ORe(_370368), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_ORe(_370368), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Complex_OIm(_370368), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))], (5902 ^ _128844) ^ [] : [-(c_Complex_ORe(c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal))], (11735 ^ _128844) ^ [_529007, _529009, _529011] : [class_Groups_Ogroup__add(_529007), -(c_Groups_Oplus__class_Oplus(_529007, c_Groups_Ouminus__class_Ouminus(_529007, _529009), c_Groups_Oplus__class_Oplus(_529007, _529009, _529011)) = _529011)], (8557 ^ _128844) ^ [_420121, _420123, _420125] : [class_Rings_Olinordered__semiring__strict(_420121), c_Orderings_Oord__class_Oless(_420121, c_Groups_Ozero__class_Ozero(_420121), _420123), c_Orderings_Oord__class_Oless(_420121, c_Groups_Ozero__class_Ozero(_420121), _420125), -(c_Orderings_Oord__class_Oless(_420121, c_Groups_Ozero__class_Ozero(_420121), c_Groups_Otimes__class_Otimes(_420121, _420123, _420125)))], (10147 ^ _128844) ^ [_474282, _474284, _474286, _474288, _474290] : [class_Fields_Ofield(_474282), -(_474284 = c_Groups_Ozero__class_Ozero(_474282)), -(_474286 = c_Groups_Ozero__class_Ozero(_474282)), -(c_Groups_Ominus__class_Ominus(_474282, c_Rings_Oinverse__class_Odivide(_474282, _474288, _474284), c_Rings_Oinverse__class_Odivide(_474282, _474290, _474286)) = c_Rings_Oinverse__class_Odivide(_474282, c_Groups_Ominus__class_Ominus(_474282, c_Groups_Otimes__class_Otimes(_474282, _474288, _474286), c_Groups_Otimes__class_Otimes(_474282, _474290, _474284)), c_Groups_Otimes__class_Otimes(_474282, _474284, _474286)))], (4202 ^ _128844) ^ [_266749, _266751, _266753] : [class_Int_Onumber__ring(_266749), -(c_Int_Onumber__class_Onumber__of(_266749, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _266751, _266753)) = c_Groups_Oplus__class_Oplus(_266749, c_Int_Onumber__class_Onumber__of(_266749, _266751), c_Int_Onumber__class_Onumber__of(_266749, _266753)))], (2504 ^ _128844) ^ [_210123, _210125, _210127] : [class_Orderings_Olinorder(_210123), -(c_Orderings_Oord__class_Oless(_210123, _210125, _210127)), 2511 ^ _128844 : [(2518 ^ _128844) ^ [] : [_210125 = _210127, -(c_Orderings_Oord__class_Oless__eq(_210123, _210125, _210127))], (2512 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_210123, _210125, _210127), -(_210125 = _210127)]]], (5834 ^ _128844) ^ [_325885, _325887, _325889] : [-(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325885, _325887), _325889) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325885, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _325887, _325889)))], (12131 ^ _128844) ^ [] : [-(class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex))], (6907 ^ _128844) ^ [_361630] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _361630), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_NthRoot_Osqrt(_361630)))], (3800 ^ _128844) ^ [_252518, _252520] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _252518, _252520), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _252518, _252520)), -(_252518 = _252520)], (4398 ^ _128844) ^ [_273914, _273916, _273918, _273920] : [class_Groups_Oordered__ab__semigroup__add__imp__le(_273914), c_Orderings_Oord__class_Oless(_273914, c_Groups_Oplus__class_Oplus(_273914, _273916, _273918), c_Groups_Oplus__class_Oplus(_273914, _273920, _273918)), -(c_Orderings_Oord__class_Oless(_273914, _273916, _273920))], (12079 ^ _128844) ^ [] : [-(class_Int_Onumber__ring(tc_RealDef_Oreal))], (4718 ^ _128844) ^ [_284707, _284709, _284711, _284713, _284715] : [class_Groups_Oordered__cancel__ab__semigroup__add(_284707), c_Orderings_Oord__class_Oless__eq(_284707, _284709, _284711), c_Orderings_Oord__class_Oless(_284707, _284713, _284715), -(c_Orderings_Oord__class_Oless(_284707, c_Groups_Oplus__class_Oplus(_284707, _284709, _284713), c_Groups_Oplus__class_Oplus(_284707, _284711, _284715)))], (11811 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring__1(tc_Int_Oint))], (4932 ^ _128844) ^ [_292510, _292512] : [class_Rings_Odivision__ring(_292510), -(c_Rings_Oinverse__class_Odivide(_292510, c_Groups_Ozero__class_Ozero(_292510), _292512) = c_Groups_Ozero__class_Ozero(_292510))], (11819 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semidom(tc_Int_Oint))], (1631 ^ _128844) ^ [_182712, _182714] : [class_Int_Onumber__ring(_182712), class_Rings_Olinordered__idom(_182712), 1638 ^ _128844 : [(1645 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _182714, c_Int_OPls), -(c_Orderings_Oord__class_Oless__eq(_182712, c_Int_Onumber__class_Onumber__of(_182712, _182714), c_Groups_Ozero__class_Ozero(_182712)))], (1639 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_182712, c_Int_Onumber__class_Onumber__of(_182712, _182714), c_Groups_Ozero__class_Ozero(_182712)), -(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _182714, c_Int_OPls))]]], (11145 ^ _128844) ^ [_506988, _506990, _506992] : [class_Int_Onumber__ring(_506988), -(c_Power_Opower__class_Opower(_506988, c_Groups_Oplus__class_Oplus(_506988, _506990, _506992), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_506988, c_Groups_Oplus__class_Oplus(_506988, c_Power_Opower__class_Opower(_506988, _506990, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_506988, _506992, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Otimes__class_Otimes(_506988, c_Groups_Otimes__class_Otimes(_506988, c_Int_Onumber__class_Onumber__of(_506988, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _506990), _506992)))], (6979 ^ _128844) ^ [_364164, _364166, _364168, _364170] : [class_Rings_Ocomm__semiring__1(_364164), -(c_Groups_Oplus__class_Oplus(_364164, _364166, c_Groups_Oplus__class_Oplus(_364164, _364168, _364170)) = c_Groups_Oplus__class_Oplus(_364164, c_Groups_Oplus__class_Oplus(_364164, _364166, _364168), _364170))], (1994 ^ _128844) ^ [_194145, _194147, _194149, _194151] : [class_Orderings_Oorder(_194145), c_Orderings_Oord__class_Oless(_194145, _194147, _194149), _194147 = _194151, -(c_Orderings_Oord__class_Oless(_194145, _194151, _194149))], (6503 ^ _128844) ^ [_348537, _348539, _348541, _348543] : [class_Rings_Olinordered__semidom(_348537), c_Orderings_Oord__class_Oless(_348537, c_Groups_Oone__class_Oone(_348537), _348539), 6510 ^ _128844 : [(6517 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Nat_Onat, _348541, _348543), -(c_Orderings_Oord__class_Oless(_348537, c_Power_Opower__class_Opower(_348537, _348539, _348541), c_Power_Opower__class_Opower(_348537, _348539, _348543)))], (6511 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_348537, c_Power_Opower__class_Opower(_348537, _348539, _348541), c_Power_Opower__class_Opower(_348537, _348539, _348543)), -(c_Orderings_Oord__class_Oless(tc_Nat_Onat, _348541, _348543))]]], (12021 ^ _128844) ^ [] : [-(class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal))], (6251 ^ _128844) ^ [_339998, _340000, _340002] : [class_Rings_Oring__1__no__zero__divisors(_339998), -(_340000 = c_Groups_Ozero__class_Ozero(_339998)), c_Power_Opower__class_Opower(_339998, _340000, _340002) = c_Groups_Ozero__class_Ozero(_339998)], (3726 ^ _128844) ^ [_249898, _249900, _249902] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249898, _249900), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _249898, _249902), -(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249900, _249898), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249902, _249898)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _249900, _249902))], (11907 ^ _128844) ^ [] : [-(class_Rings_Oordered__comm__semiring(tc_Nat_Onat))], (11473 ^ _128844) ^ [_520249, _520251] : [class_Groups_Ogroup__add(_520249), 11476 ^ _128844 : [(11483 ^ _128844) ^ [] : [_520251 = c_Groups_Ozero__class_Ozero(_520249), -(c_Groups_Ouminus__class_Ouminus(_520249, _520251) = c_Groups_Ozero__class_Ozero(_520249))], (11477 ^ _128844) ^ [] : [c_Groups_Ouminus__class_Ouminus(_520249, _520251) = c_Groups_Ozero__class_Ozero(_520249), -(_520251 = c_Groups_Ozero__class_Ozero(_520249))]]], (920 ^ _128844) ^ [_157963, _157965, _157967, _157969, _157971, _157973] : [-(c_Groups_Ominus__class_Ominus(_157973, _157969, _157965) = c_Groups_Ominus__class_Ominus(_157971, _157967, _157963)), _157973 = _157971, _157969 = _157967, _157965 = _157963], (1741 ^ _128844) ^ [_186044, _186046, _186048, _186050] : [class_Orderings_Oorder(_186044), c_Orderings_Oord__class_Oless__eq(_186044, _186046, _186048), c_Orderings_Oord__class_Oless__eq(_186044, _186050, _186046), -(c_Orderings_Oord__class_Oless__eq(_186044, _186050, _186048))], (5946 ^ _128844) ^ [_329837] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _329837, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _329837), _329837), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))], (11267 ^ _128844) ^ [_512128, _512130, _512132] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _512128, _512130), -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _512132, _512128), c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _512132, _512130)))], (6319 ^ _128844) ^ [_342378, _342380, _342382] : [class_Rings_Olinordered__idom(_342378), -(c_Groups_Oabs__class_Oabs(_342378, c_Power_Opower__class_Opower(_342378, _342380, _342382)) = c_Power_Opower__class_Opower(_342378, c_Groups_Oabs__class_Oabs(_342378, _342380), _342382))], (5994 ^ _128844) ^ [_331595, _331597] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _331595, _331597), -(_331597 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _331595, 5997 ^ [_331595, _331597]))], (7553 ^ _128844) ^ [_387360, _387362, _387364, _387366] : [class_Groups_Oab__semigroup__mult(_387360), -(c_Groups_Otimes__class_Otimes(_387360, c_Groups_Otimes__class_Otimes(_387360, _387362, _387364), _387366) = c_Groups_Otimes__class_Otimes(_387360, _387362, c_Groups_Otimes__class_Otimes(_387360, _387364, _387366)))], (11393 ^ _128844) ^ [_517524] : [-(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _517524) = _517524)], (11837 ^ _128844) ^ [] : [-(class_Rings_Olinordered__idom(tc_Int_Oint))], (11723 ^ _128844) ^ [_528535, _528537] : [class_Int_Onumber__ring(_528535), -(c_Int_Onumber__class_Onumber__of(_528535, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _528537)) = c_Groups_Ouminus__class_Ouminus(_528535, c_Int_Onumber__class_Onumber__of(_528535, _528537)))], (6073 ^ _128844) ^ [_334226, _334228, _334230] : [class_Rings_Olinordered__semidom(_334226), c_Orderings_Oord__class_Oless__eq(_334226, c_Power_Opower__class_Opower(_334226, _334228, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_334226, _334230, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Orderings_Oord__class_Oless__eq(_334226, c_Groups_Ozero__class_Ozero(_334226), _334230), -(c_Orderings_Oord__class_Oless__eq(_334226, _334228, _334230))], (9313 ^ _128844) ^ [_446070, _446072, _446074, _446076, _446078] : [class_Rings_Olinordered__semiring__strict(_446070), c_Orderings_Oord__class_Oless(_446070, _446072, _446074), c_Orderings_Oord__class_Oless(_446070, _446076, _446078), c_Orderings_Oord__class_Oless__eq(_446070, c_Groups_Ozero__class_Ozero(_446070), _446072), c_Orderings_Oord__class_Oless__eq(_446070, c_Groups_Ozero__class_Ozero(_446070), _446076), -(c_Orderings_Oord__class_Oless(_446070, c_Groups_Otimes__class_Otimes(_446070, _446072, _446076), c_Groups_Otimes__class_Otimes(_446070, _446074, _446078)))], (6145 ^ _128844) ^ [_336580, _336582] : [-(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _336580, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _336582, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), _336580 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _336582 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)], (11829 ^ _128844) ^ [] : [-(class_Rings_Oordered__ring__abs(tc_Int_Oint))], (11969 ^ _128844) ^ [] : [-(class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal))], (7023 ^ _128844) ^ [_365929] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _365929), -(c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(_365929), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _365929)], (4968 ^ _128844) ^ [_293880, _293882] : [class_Orderings_Oorder(_293880), 4971 ^ _128844 : [(4972 ^ _128844) ^ [] : [c_SEQ_Odecseq(_293880, _293882), 4975 ^ _128844 : [(4976 ^ _128844) ^ [_294156, _294158] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _294158, _294156), -(c_Orderings_Oord__class_Oless__eq(_293880, hAPP(_293882, _294156), hAPP(_293882, _294158)))]]], (4982 ^ _128844) ^ [] : [4985 ^ _128844 : [(4988 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless__eq(_293880, hAPP(_293882, 4984 ^ [_293880, _293882]), hAPP(_293882, 4983 ^ [_293880, _293882]))], (4986 ^ _128844) ^ [] : [-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 4983 ^ [_293880, _293882], 4984 ^ [_293880, _293882]))]], -(c_SEQ_Odecseq(_293880, _293882))]]], (8947 ^ _128844) ^ [_433980, _433982, _433984, _433986] : [class_Rings_Odivision__ring(_433980), -(_433982 = c_Groups_Ozero__class_Ozero(_433980)), _433984 = c_Groups_Otimes__class_Otimes(_433980, _433986, _433982), -(c_Rings_Oinverse__class_Odivide(_433980, _433984, _433982) = _433986)], (4920 ^ _128844) ^ [_292056, _292058] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _292056, _292058), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _292056, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _292056, _292058), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))], (114 ^ _128844) ^ [_132396, _132398] : [-(class_Groups_Oordered__ab__semigroup__add(_132396)), _132398 = _132396, class_Groups_Oordered__ab__semigroup__add(_132398)], (2692 ^ _128844) ^ [_215943, _215945, _215947] : [class_Int_Onumber__ring(_215943), class_Rings_Olinordered__idom(_215943), 2699 ^ _128844 : [(2706 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(tc_Int_Oint, _215945, _215947), -(c_Orderings_Oord__class_Oless(_215943, c_Int_Onumber__class_Onumber__of(_215943, _215945), c_Int_Onumber__class_Onumber__of(_215943, _215947)))], (2700 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_215943, c_Int_Onumber__class_Onumber__of(_215943, _215945), c_Int_Onumber__class_Onumber__of(_215943, _215947)), -(c_Orderings_Oord__class_Oless(tc_Int_Oint, _215945, _215947))]]], (6055 ^ _128844) ^ [_333691, _333693, _333695] : [class_Rings_Olinordered__semidom(_333691), c_Power_Opower__class_Opower(_333691, _333693, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(_333691, _333695, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Orderings_Oord__class_Oless__eq(_333691, c_Groups_Ozero__class_Ozero(_333691), _333693), c_Orderings_Oord__class_Oless__eq(_333691, c_Groups_Ozero__class_Ozero(_333691), _333695), -(_333693 = _333695)], (7785 ^ _128844) ^ [_395440, _395442] : [class_Groups_Ocomm__monoid__mult(_395440), -(c_Groups_Otimes__class_Otimes(_395440, c_Groups_Oone__class_Oone(_395440), _395442) = _395442)], (11505 ^ _128844) ^ [_521201, _521203] : [class_Groups_Ogroup__add(_521201), 11508 ^ _128844 : [(11515 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(_521201) = _521203, -(c_Groups_Ozero__class_Ozero(_521201) = c_Groups_Ouminus__class_Ouminus(_521201, _521203))], (11509 ^ _128844) ^ [] : [c_Groups_Ozero__class_Ozero(_521201) = c_Groups_Ouminus__class_Ouminus(_521201, _521203), -(c_Groups_Ozero__class_Ozero(_521201) = _521203)]]], (4628 ^ _128844) ^ [_281895, _281897, _281899] : [class_Groups_Oordered__comm__monoid__add(_281895), c_Orderings_Oord__class_Oless__eq(_281895, _281897, c_Groups_Ozero__class_Ozero(_281895)), c_Orderings_Oord__class_Oless__eq(_281895, _281899, c_Groups_Ozero__class_Ozero(_281895)), -(c_Orderings_Oord__class_Oless__eq(_281895, c_Groups_Oplus__class_Oplus(_281895, _281897, _281899), c_Groups_Ozero__class_Ozero(_281895)))], (4658 ^ _128844) ^ [_282809, _282811] : [class_Rings_Olinordered__idom(_282809), 4661 ^ _128844 : [(4668 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_282809, _282811, c_Groups_Ozero__class_Ozero(_282809)), -(c_Orderings_Oord__class_Oless(_282809, c_Groups_Oplus__class_Oplus(_282809, _282811, _282811), c_Groups_Ozero__class_Ozero(_282809)))], (4662 ^ _128844) ^ [] : [c_Orderings_Oord__class_Oless(_282809, c_Groups_Oplus__class_Oplus(_282809, _282811, _282811), c_Groups_Ozero__class_Ozero(_282809)), -(c_Orderings_Oord__class_Oless(_282809, _282811, c_Groups_Ozero__class_Ozero(_282809)))]]], (12135 ^ _128844) ^ [] : [-(class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex))], (3856 ^ _128844) ^ [_254275, _254277] : [_254275 = _254277, -(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _254275, _254277))], (1589 ^ _128844) ^ [_181262, _181264] : [class_Groups_Oordered__ab__group__add__abs(_181262), -(c_Orderings_Oord__class_Oless__eq(_181262, c_Groups_Ozero__class_Ozero(_181262), c_Groups_Oabs__class_Oabs(_181262, _181264)))], (9897 ^ _128844) ^ [_465825, _465827, _465829, _465831] : [class_Fields_Ofield__inverse__zero(_465825), -(_465827 = c_Groups_Ozero__class_Ozero(_465825)), -(c_Groups_Oplus__class_Oplus(_465825, c_Rings_Oinverse__class_Odivide(_465825, _465829, _465827), _465831) = c_Rings_Oinverse__class_Odivide(_465825, c_Groups_Oplus__class_Oplus(_465825, _465829, c_Groups_Otimes__class_Otimes(_465825, _465831, _465827)), _465827))], (204 ^ _128844) ^ [_135051, _135053] : [-(class_Rings_Olinordered__semiring(_135051)), _135053 = _135051, class_Rings_Olinordered__semiring(_135053)], (7511 ^ _128844) ^ [_385584, _385586, _385588] : [class_Rings_Odivision__ring(_385584), -(c_Rings_Oinverse__class_Odivide(_385584, _385586, _385588) = c_Groups_Otimes__class_Otimes(_385584, _385586, c_Rings_Oinverse__class_Oinverse(_385584, _385588)))], (7017 ^ _128844) ^ [_365723] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _365723), -(c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_NthRoot_Osqrt(_365723), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _365723)], (11217 ^ _128844) ^ [_510287, _510289, _510291] : [c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510287, _510289) = c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _510287, _510291), -(_510289 = _510291), -(_510287 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat))], (999 ^ _128844) ^ [] : [-(c_SEQ_Osubseq(v_f____))], (11879 ^ _128844) ^ [] : [-(class_Groups_Ozero(tc_Int_Oint))], (10013 ^ _128844) ^ [_469887, _469889, _469891, _469893] : [class_Fields_Ofield__inverse__zero(_469887), class_Int_Onumber(_469887), 10020 ^ _128844 : [(10021 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_469887, _469889) = c_Rings_Oinverse__class_Odivide(_469887, _469891, _469893), 10024 ^ _128844 : [(10031 ^ _128844) ^ [] : [_469893 = c_Groups_Ozero__class_Ozero(_469887), -(c_Int_Onumber__class_Onumber__of(_469887, _469889) = c_Groups_Ozero__class_Ozero(_469887))], (10025 ^ _128844) ^ [] : [-(_469893 = c_Groups_Ozero__class_Ozero(_469887)), -(c_Groups_Otimes__class_Otimes(_469887, c_Int_Onumber__class_Onumber__of(_469887, _469889), _469893) = _469891)]]], (10037 ^ _128844) ^ [] : [-(c_Int_Onumber__class_Onumber__of(_469887, _469889) = c_Rings_Oinverse__class_Odivide(_469887, _469891, _469893)), 10040 ^ _128844 : [(10043 ^ _128844) ^ [] : [c_Groups_Otimes__class_Otimes(_469887, c_Int_Onumber__class_Onumber__of(_469887, _469889), _469893) = _469891], (10041 ^ _128844) ^ [] : [_469893 = c_Groups_Ozero__class_Ozero(_469887)]], 10044 ^ _128844 : [(10047 ^ _128844) ^ [] : [c_Int_Onumber__class_Onumber__of(_469887, _469889) = c_Groups_Ozero__class_Ozero(_469887)], (10045 ^ _128844) ^ [] : [-(_469893 = c_Groups_Ozero__class_Ozero(_469887))]]]]], (1070 ^ _128844) ^ [_163615] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _163615), 1074 ^ _128844 : [(1075 ^ _128844) ^ [_163839] : [c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1073 ^ [_163615], _163839), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(v_s(hAPP(v_f____, _163839))), v_x____)), _163615))]]], (11911 ^ _128844) ^ [] : [-(class_Rings_Olinordered__semiring(tc_Nat_Onat))], (7767 ^ _128844) ^ [_394722, _394724] : [class_Rings_Olinordered__idom(_394722), -(c_Groups_Otimes__class_Otimes(_394722, c_Groups_Oabs__class_Oabs(_394722, _394724), c_Groups_Oabs__class_Oabs(_394722, _394724)) = c_Groups_Otimes__class_Otimes(_394722, _394724, _394724))], (3402 ^ _128844) ^ [_239073, _239075, _239077] : [class_Fields_Olinordered__field(_239073), c_Orderings_Oord__class_Oless(_239073, _239075, c_Groups_Ozero__class_Ozero(_239073)), c_Orderings_Oord__class_Oless(_239073, _239077, c_Groups_Ozero__class_Ozero(_239073)), -(c_Orderings_Oord__class_Oless(_239073, c_Groups_Ozero__class_Ozero(_239073), c_Rings_Oinverse__class_Odivide(_239073, _239075, _239077)))], (7069 ^ _128844) ^ [_367743, _367745] : [class_Rings_Ocomm__semiring__1(_367743), -(c_Groups_Oplus__class_Oplus(_367743, c_Groups_Ozero__class_Ozero(_367743), _367745) = _367745)], (9063 ^ _128844) ^ [_437996] : [-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _437996, _437996))), -(_437996 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))], (11071 ^ _128844) ^ [_504257, _504259] : [class_Int_Onumber__ring(_504257), -(c_Groups_Otimes__class_Otimes(_504257, _504259, c_Int_Onumber__class_Onumber__of(_504257, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_504257, _504259, _504259))], (5259 ^ _128844) ^ [_305130, _305132] : [-(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _305130, _305132), _305132) = _305130)], (11435 ^ _128844) ^ [_518965, _518967] : [c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _518965, _518967), -(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Transcendental_Oarctan(_518965), c_Transcendental_Oarctan(_518967)))], (9777 ^ _128844) ^ [_461697, _461699, _461701, _461703] : [class_Fields_Olinordered__field(_461697), c_Orderings_Oord__class_Oless(_461697, c_Groups_Ozero__class_Ozero(_461697), _461699), c_Orderings_Oord__class_Oless(_461697, c_Groups_Otimes__class_Otimes(_461697, _461701, _461699), _461703), -(c_Orderings_Oord__class_Oless(_461697, _461701, c_Rings_Oinverse__class_Odivide(_461697, _461703, _461699)))], (11741 ^ _128844) ^ [_529257, _529259, _529261] : [class_Groups_Ogroup__add(_529257), -(c_Groups_Oplus__class_Oplus(_529257, _529259, c_Groups_Oplus__class_Oplus(_529257, c_Groups_Ouminus__class_Ouminus(_529257, _529259), _529261)) = _529261)], (4018 ^ _128844) ^ [_259823, _259825] : [class_RealVector_Oreal__normed__field(_259823), -(c_Rings_Oinverse__class_Odivide(_259823, c_Groups_Ozero__class_Ozero(_259823), _259825) = c_Groups_Ozero__class_Ozero(_259823))], (2926 ^ _128844) ^ [] : [-(c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____)))], (9237 ^ _128844) ^ [_443611] : [-(c_Rings_Oinverse__class_Oinverse(_443611, c_Int_Onumber__class_Onumber__of(_443611, c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(_443611, c_Int_OBit1(c_Int_OPls))), class_Fields_Ofield(_443611), class_Int_Onumber__ring(_443611)], (9519 ^ _128844) ^ [_452907, _452909, _452911] : [class_Rings_Olinordered__idom(_452907), c_Orderings_Oord__class_Oless__eq(_452907, c_Groups_Ozero__class_Ozero(_452907), _452909), c_Orderings_Oord__class_Oless__eq(_452907, c_Groups_Ozero__class_Ozero(_452907), _452911), c_Orderings_Oord__class_Oless__eq(_452907, _452911, c_Groups_Oone__class_Oone(_452907)), -(c_Orderings_Oord__class_Oless__eq(_452907, c_Groups_Otimes__class_Otimes(_452907, _452909, _452911), _452909))], (2212 ^ _128844) ^ [_200932, _200934] : [class_Orderings_Opreorder(_200932), c_Orderings_Oord__class_Oless(_200932, _200934, _200934)], (8501 ^ _128844) ^ [_418361, _418363, _418365] : [class_Rings_Olinordered__semiring__strict(_418361), c_Orderings_Oord__class_Oless(_418361, c_Groups_Ozero__class_Ozero(_418361), c_Groups_Otimes__class_Otimes(_418361, _418363, _418365)), c_Orderings_Oord__class_Oless(_418361, c_Groups_Ozero__class_Ozero(_418361), _418365), -(c_Orderings_Oord__class_Oless(_418361, c_Groups_Ozero__class_Ozero(_418361), _418363))], (6109 ^ _128844) ^ [_335361, _335363] : [class_Rings_Olinordered__idom(_335361), c_Orderings_Oord__class_Oless(_335361, c_Power_Opower__class_Opower(_335361, _335363, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Ozero__class_Ozero(_335361))], (854 ^ _128844) ^ [_155547, _155549, _155551, _155553] : [-(c_RealVector_Onorm__class_Onorm(_155553, _155549) = c_RealVector_Onorm__class_Onorm(_155551, _155547)), _155553 = _155551, _155549 = _155547], (8253 ^ _128844) ^ [_410434, _410436, _410438] : [class_Rings_Oordered__cancel__semiring(_410434), c_Orderings_Oord__class_Oless__eq(_410434, _410436, c_Groups_Ozero__class_Ozero(_410434)), c_Orderings_Oord__class_Oless__eq(_410434, c_Groups_Ozero__class_Ozero(_410434), _410438), -(c_Orderings_Oord__class_Oless__eq(_410434, c_Groups_Otimes__class_Otimes(_410434, _410436, _410438), c_Groups_Ozero__class_Ozero(_410434)))], (7029 ^ _128844) ^ [_366147, _366149] : [c_Power_Opower__class_Opower(tc_RealDef_Oreal, _366147, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _366149, c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _366147), -(c_NthRoot_Osqrt(_366149) = _366147)], (6889 ^ _128844) ^ [_361069] : [c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_NthRoot_Osqrt(_361069), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)), -(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _361069, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))], (3496 ^ _128844) ^ [_242116] : [-(c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _242116) = _242116)]], input).
% 47.74/47.02  ncf('1',plain,[v_thesis____],start(12197 ^ 0)).
% 47.74/47.02  ncf('1.1',plain,[-(v_thesis____), 12186 : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(v_s(hAPP(v_f____, 12182 ^ [1004 ^ []]))), v_x____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), 12193 : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(v_s(hAPP(v_f____, hAPP(v_ga____, 12189 ^ [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]])))), v_y____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))],extension(12181 ^ 1,bind([[_541505, _541748], [1004 ^ [], 1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]]]))).
% 47.74/47.02  ncf('1.1.1',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_ORe(v_s(hAPP(v_f____, 12182 ^ [1004 ^ []]))), v_x____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1004 ^ [], 12182 ^ [1004 ^ []])],extension(1006 ^ 4,bind([[_161148], [12182 ^ [1004 ^ []]]]))).
% 47.74/47.02  ncf('1.1.1.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1004 ^ [], 12182 ^ [1004 ^ []]))],extension(12184 ^ 5,bind([[_541456], [1004 ^ []]]))).
% 47.74/47.02  ncf('1.1.2',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Complex_OIm(v_s(hAPP(v_f____, hAPP(v_ga____, 12189 ^ [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]])))), v_y____)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), 1046 : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))], 12189 ^ [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]]), 1046 : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))],extension(1041 ^ 4,bind([[_162336, _162566], [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), 12189 ^ [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]]]]))).
% 47.74/47.02  ncf('1.1.2.1',plain,[-(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, 1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))], 12189 ^ [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]]))],extension(12191 ^ 7,bind([[_541699], [1044 ^ [c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))]]]))).
% 47.74/47.02  ncf('1.1.2.2',plain,[-(c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))],extension(1019 ^ 5)).
% 47.74/47.02  %-----------------------------------------------------
% 47.74/47.02  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------