TSTP Solution File: SWW262+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW262+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n020.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 : Mon Mar 25 14:40:08 EDT 2024
% Result : Theorem 15.21s 15.39s
% Output : Proof 15.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW262+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 01:42:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 15.21/15.39 % SZS status Theorem for theBenchmark
% 15.21/15.39 % SZS output start Proof for theBenchmark
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ext ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_t_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_t_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__0960_A_060_At_A_094_Ak_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__0960_A_060_At_A_094_Ak_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_kas_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_kas_I2_J-1, axiom, ( ( v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_t_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_t_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_t____) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_m_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_m_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_t_I3_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_t_I3_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__mult__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__mult__less-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u3) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, _u4), _u5) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, _u6), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3), _u4), _u6)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u5), _u7)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8) | ~c_Orderings_Oord__class_Oless(_u8, c_Groups_Oone__class_Oone(_u8), _u9) | c_Orderings_Oord__class_Oless(_u8, c_Groups_Oone__class_Oone(_u8), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8), _u9), hAPP(hAPP(c_Power_Opower__class_Opower(_u8), _u9), _u10))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u11) | ~c_Orderings_Oord__class_Oless(_u11, c_Groups_Oone__class_Oone(_u11), _u12) | c_Orderings_Oord__class_Oless(_u11, hAPP(hAPP(c_Power_Opower__class_Opower(_u11), _u12), _u13), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11), _u12), hAPP(hAPP(c_Power_Opower__class_Opower(_u11), _u12), _u13))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__power-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u14) | ( c_RealVector_Onorm__class_Onorm(_u14, hAPP(hAPP(c_Power_Opower__class_Opower(_u14), _u15), _u16)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u14, _u15)), _u16)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u17) | ( c_RealVector_Onorm__class_Onorm(_u17, c_Groups_Oone__class_Oone(_u17)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u18) | ( c_RealVector_Onorm__class_Onorm(_u18, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18), _u19), _u20)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u18, _u19)), c_RealVector_Onorm__class_Onorm(_u18, _u20))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__add__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__add__less-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u21) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, _u22), _u23) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, _u24), _u25) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, c_Groups_Oplus__class_Oplus(_u21, _u22, _u24)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u23, _u25)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u26) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u28, _u29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), _u28)), hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), _u29))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u30) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u30), hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), _u32)), hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), _u33)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u32, _u33))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u34) | ~c_Orderings_Oord__class_Oless(_u34, c_Groups_Oone__class_Oone(_u34), _u35) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u36) != hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u37)) | ( _u36 = _u37) )).
% 15.21/15.39 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u34) | ~c_Orderings_Oord__class_Oless(_u34, c_Groups_Oone__class_Oone(_u34), _u35) | ( _u36 != _u37) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u36) = hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u37)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u38) | ~c_Orderings_Oord__class_Oless(_u38, c_Groups_Oone__class_Oone(_u38), _u39) | ~c_Orderings_Oord__class_Oless(_u38, hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u40), hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u41)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u40, _u41) )).
% 15.21/15.39 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u38) | ~c_Orderings_Oord__class_Oless(_u38, c_Groups_Oone__class_Oone(_u38), _u39) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u40, _u41) | c_Orderings_Oord__class_Oless(_u38, hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u40), hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u41)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inv0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inv0-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__ge__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__ge__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u42) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u42, _u43)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u44) | ( c_RealVector_Onorm__class_Onorm(_u44, c_Groups_Ozero__class_Ozero(_u44)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__mod__triangle__sub ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__mod__triangle__sub-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u45), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u45, _u46)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u46))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__inverse-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u47) | ~class_Rings_Odivision__ring__inverse__zero(_u47) | ( c_RealVector_Onorm__class_Onorm(_u47, c_Rings_Oinverse__class_Oinverse(_u47, _u48)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u47, _u48))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__zero__less__power__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u51), _u53)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u51) | ( _u53 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__zero__less__power__iff-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u52), _u54)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u52) )).
% 15.21/15.39 cnf(fact_nat__zero__less__power__iff-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u52), _u54)) | ( _u54 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__eq__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__eq__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u55) | ( c_RealVector_Onorm__class_Onorm(_u55, _u56) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u56 = c_Groups_Ozero__class_Ozero(_u55)) )).
% 15.21/15.39 cnf(fact_norm__eq__zero-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u55) | ( _u56 != c_Groups_Ozero__class_Ozero(_u55)) | ( c_RealVector_Onorm__class_Onorm(_u55, _u56) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__le__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__le__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u57) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u58 = c_Groups_Ozero__class_Ozero(_u57)) )).
% 15.21/15.39 cnf(fact_norm__le__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u57) | ( _u58 != c_Groups_Ozero__class_Ozero(_u57)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) != c_Groups_Ozero__class_Ozero(_u59)) | ( _u60 = c_Groups_Ozero__class_Ozero(_u59)) )).
% 15.21/15.39 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) != c_Groups_Ozero__class_Ozero(_u59)) | ( _u61 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( _u60 != c_Groups_Ozero__class_Ozero(_u59)) | ( _u61 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) = c_Groups_Ozero__class_Ozero(_u59)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__norm__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__norm__inverse-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u62) | ( _u63 = c_Groups_Ozero__class_Ozero(_u62)) | ( c_RealVector_Onorm__class_Onorm(_u62, c_Rings_Oinverse__class_Oinverse(_u62, _u63)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u62, _u63))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__power__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__power__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u64) | ( _u65 = c_Groups_Ozero__class_Ozero(_u64)) | ( c_Rings_Oinverse__class_Oinverse(_u64, hAPP(hAPP(c_Power_Opower__class_Opower(_u64), _u65), _u66)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u64), c_Rings_Oinverse__class_Oinverse(_u64, _u65)), _u66)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u67) | ~c_Orderings_Oord__class_Oless__eq(_u67, c_Groups_Ozero__class_Ozero(_u67), _u68) | c_Orderings_Oord__class_Oless__eq(_u67, c_Groups_Ozero__class_Ozero(_u67), hAPP(hAPP(c_Power_Opower__class_Opower(_u67), _u68), _u69)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__power__less__imp__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u70) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u70), _u71), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u70), _u72)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u71, _u72) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u73) | ~c_Orderings_Oord__class_Oless__eq(_u73, _u74, _u75) | ~c_Orderings_Oord__class_Oless__eq(_u73, c_Groups_Ozero__class_Ozero(_u73), _u74) | c_Orderings_Oord__class_Oless__eq(_u73, hAPP(hAPP(c_Power_Opower__class_Opower(_u73), _u74), _u76), hAPP(hAPP(c_Power_Opower__class_Opower(_u73), _u75), _u76)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u77) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u77), _u78), _u79) != hAPP(hAPP(c_Power_Opower__class_Opower(_u77), _u80), _u79)) | ~c_Orderings_Oord__class_Oless__eq(_u77, c_Groups_Ozero__class_Ozero(_u77), _u78) | ~c_Orderings_Oord__class_Oless__eq(_u77, c_Groups_Ozero__class_Ozero(_u77), _u80) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u79) | ( _u78 = _u80) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u81) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u82, _u83) | ~c_Orderings_Oord__class_Oless__eq(_u81, c_Groups_Ozero__class_Ozero(_u81), _u84) | ~c_Orderings_Oord__class_Oless__eq(_u81, _u84, c_Groups_Oone__class_Oone(_u81)) | c_Orderings_Oord__class_Oless__eq(_u81, hAPP(hAPP(c_Power_Opower__class_Opower(_u81), _u84), _u83), hAPP(hAPP(c_Power_Opower__class_Opower(_u81), _u84), _u82)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u85) | ~c_Orderings_Oord__class_Oless(_u85, _u86, _u87) | ~c_Orderings_Oord__class_Oless__eq(_u85, c_Groups_Ozero__class_Ozero(_u85), _u86) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u88) | c_Orderings_Oord__class_Oless(_u85, hAPP(hAPP(c_Power_Opower__class_Opower(_u85), _u86), _u88), hAPP(hAPP(c_Power_Opower__class_Opower(_u85), _u87), _u88)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__inverse-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u89) | ( c_Rings_Oinverse__class_Oinverse(_u89, hAPP(hAPP(c_Power_Opower__class_Opower(_u89), _u90), _u91)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u89), c_Rings_Oinverse__class_Oinverse(_u89, _u90)), _u91)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u92) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u92), hAPP(hAPP(c_Power_Opower__class_Opower(_u92), _u93), _u94)), _u95) = hAPP(hAPP(c_Power_Opower__class_Opower(_u92), _u93), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u94), _u95))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u96) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u96), _u97), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u98), _u99)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u96), hAPP(hAPP(c_Power_Opower__class_Opower(_u96), _u97), _u98)), _u99)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right_Ozero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u100) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u100), _u101), c_Groups_Ozero__class_Ozero(_u100)) = c_Groups_Ozero__class_Ozero(_u100)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Ozero__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Ozero__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u102), _u103), c_Groups_Ozero__class_Ozero(_u102)) = c_Groups_Ozero__class_Ozero(_u102)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u104) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), c_Groups_Ozero__class_Ozero(_u104)) = c_Groups_Ozero__class_Ozero(_u104)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left_Ozero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u106) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u106), c_Groups_Ozero__class_Ozero(_u106)), _u107) = c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Ozero__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Ozero__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u108) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u108), c_Groups_Ozero__class_Ozero(_u108)), _u109) = c_Groups_Ozero__class_Ozero(_u108)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u110) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), c_Groups_Ozero__class_Ozero(_u110)), _u111) = c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u112) | ( _u113 != c_Groups_Oplus__class_Oplus(_u112, _u113, _u114)) | ( _u114 = c_Groups_Ozero__class_Ozero(_u112)) )).
% 15.21/15.39 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u112) | ( _u114 != c_Groups_Ozero__class_Ozero(_u112)) | ( _u113 = c_Groups_Oplus__class_Oplus(_u112, _u113, _u114)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u115) | ( c_Groups_Oplus__class_Oplus(_u115, _u116, c_Groups_Ozero__class_Ozero(_u115)) = _u116) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u117) | ( c_Groups_Oplus__class_Oplus(_u117, c_Groups_Ozero__class_Ozero(_u117), _u118) = _u118) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u119) | ( _u120 = c_Groups_Ozero__class_Ozero(_u119)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u119), _u120), _u121) != c_Groups_Ozero__class_Ozero(_u119)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u123, _u124) | ~c_Orderings_Oord__class_Oless__eq(_u122, c_Groups_Oone__class_Oone(_u122), _u125) | c_Orderings_Oord__class_Oless__eq(_u122, hAPP(hAPP(c_Power_Opower__class_Opower(_u122), _u125), _u123), hAPP(hAPP(c_Power_Opower__class_Opower(_u122), _u125), _u124)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u126) | ~c_Orderings_Oord__class_Oless(_u126, hAPP(hAPP(c_Power_Opower__class_Opower(_u126), _u127), _u128), hAPP(hAPP(c_Power_Opower__class_Opower(_u126), _u129), _u128)) | ~c_Orderings_Oord__class_Oless__eq(_u126, c_Groups_Ozero__class_Ozero(_u126), _u129) | c_Orderings_Oord__class_Oless(_u126, _u127, _u129) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u130) | ~class_Rings_Osemiring__0(_u130) | ( _u131 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u130), c_Groups_Ozero__class_Ozero(_u130)), _u131) = c_Groups_Oone__class_Oone(_u130)) )).
% 15.21/15.39 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u130) | ~class_Rings_Osemiring__0(_u130) | ( _u131 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u130), c_Groups_Ozero__class_Ozero(_u130)), _u131) = c_Groups_Ozero__class_Ozero(_u130)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__norm__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__norm__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u132) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u132, _u133)) | ( _u133 != c_Groups_Ozero__class_Ozero(_u132)) )).
% 15.21/15.39 cnf(fact_zero__less__norm__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u132) | ( _u133 = c_Groups_Ozero__class_Ozero(_u132)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u132, _u133)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u134) | ~c_Orderings_Oord__class_Oless(_u134, c_Groups_Oone__class_Oone(_u134), _u135) | ~c_Orderings_Oord__class_Oless__eq(_u134, hAPP(hAPP(c_Power_Opower__class_Opower(_u134), _u135), _u136), hAPP(hAPP(c_Power_Opower__class_Opower(_u134), _u135), _u137)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u136, _u137) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u138) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Oone__class_Oone(_u138), _u139) | ~c_Orderings_Oord__class_Oless__eq(_u138, hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u140), hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u141)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u140, _u141) )).
% 15.21/15.39 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u138) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Oone__class_Oone(_u138), _u139) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u140, _u141) | c_Orderings_Oord__class_Oless__eq(_u138, hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u140), hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u141)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u142) | ~c_Orderings_Oord__class_Oless__eq(_u142, c_Groups_Oone__class_Oone(_u142), _u143) | c_Orderings_Oord__class_Oless__eq(_u142, c_Groups_Oone__class_Oone(_u142), hAPP(hAPP(c_Power_Opower__class_Opower(_u142), _u143), _u144)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 != _u148) | ( _u149 = _u150) | ( c_Groups_Oplus__class_Oplus(_u145, _u147, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u145), _u146), _u149)) != c_Groups_Oplus__class_Oplus(_u145, _u148, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u145), _u146), _u150))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__triangle__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__triangle__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u151) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u151, c_Groups_Oplus__class_Oplus(_u151, _u152, _u153)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u151, _u152), c_RealVector_Onorm__class_Onorm(_u151, _u153))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u154) | ~c_Orderings_Oord__class_Oless(_u154, c_Groups_Ozero__class_Ozero(_u154), _u155) | c_Orderings_Oord__class_Oless(_u154, c_Groups_Ozero__class_Ozero(_u154), hAPP(hAPP(c_Power_Opower__class_Opower(_u154), _u155), _u156)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u157), _u158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u157)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u159) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u159), _u160), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u159)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__not__less__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__not__less__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u161) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u161, _u162), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u163) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u164, _u165) | ~c_Orderings_Oord__class_Oless(_u163, c_Groups_Ozero__class_Ozero(_u163), _u166) | ~c_Orderings_Oord__class_Oless(_u163, _u166, c_Groups_Oone__class_Oone(_u163)) | c_Orderings_Oord__class_Oless(_u163, hAPP(hAPP(c_Power_Opower__class_Opower(_u163), _u166), _u165), hAPP(hAPP(c_Power_Opower__class_Opower(_u163), _u166), _u164)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__mult__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__mult__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u167) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u167, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u167), _u168), _u169)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u167, _u168)), c_RealVector_Onorm__class_Onorm(_u167, _u169))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u170) | ~c_Orderings_Oord__class_Oless(_u170, c_Groups_Oone__class_Oone(_u170), _u171) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u172) | c_Orderings_Oord__class_Oless(_u170, c_Groups_Oone__class_Oone(_u170), hAPP(hAPP(c_Power_Opower__class_Opower(_u170), _u171), _u172)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__power__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__power__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u173) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u173, hAPP(hAPP(c_Power_Opower__class_Opower(_u173), _u174), _u175)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u173, _u174)), _u175)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u176) | ~c_Orderings_Oord__class_Oless(_u176, c_Groups_Ozero__class_Ozero(_u176), _u177) | ~c_Orderings_Oord__class_Oless(_u176, _u177, c_Groups_Oone__class_Oone(_u176)) | c_Orderings_Oord__class_Oless(_u176, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u176), _u177), hAPP(hAPP(c_Power_Opower__class_Opower(_u176), _u177), _u178)), hAPP(hAPP(c_Power_Opower__class_Opower(_u176), _u177), _u178)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u180), _u181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u182), _u183)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u180), _u182)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u181), _u183))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u185), _u186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u187), _u188)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u185), _u186)), _u188))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u191)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u192), _u193)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u192), _u193)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), _u195), _u196)), _u197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), _u195), _u197)), _u196)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u198) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u199), _u200)), _u201) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u200), _u201))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u202) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u204), _u205)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u203), _u204)), _u205)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u206) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u208), _u209)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u207), _u209))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u210) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u210), _u211), _u212) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u210), _u212), _u211)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u213) | ( c_Groups_Oplus__class_Oplus(_u213, c_Groups_Oplus__class_Oplus(_u213, _u214, _u215), c_Groups_Oplus__class_Oplus(_u213, _u216, _u217)) = c_Groups_Oplus__class_Oplus(_u213, c_Groups_Oplus__class_Oplus(_u213, _u214, _u216), c_Groups_Oplus__class_Oplus(_u213, _u215, _u217))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u218) | ( c_Groups_Oplus__class_Oplus(_u218, c_Groups_Oplus__class_Oplus(_u218, _u219, _u220), _u221) = c_Groups_Oplus__class_Oplus(_u218, c_Groups_Oplus__class_Oplus(_u218, _u219, _u221), _u220)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u222) | ( c_Groups_Oplus__class_Oplus(_u222, c_Groups_Oplus__class_Oplus(_u222, _u223, _u224), _u225) = c_Groups_Oplus__class_Oplus(_u222, _u223, c_Groups_Oplus__class_Oplus(_u222, _u224, _u225))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u226) | ( c_Groups_Oplus__class_Oplus(_u226, _u227, c_Groups_Oplus__class_Oplus(_u226, _u228, _u229)) = c_Groups_Oplus__class_Oplus(_u226, c_Groups_Oplus__class_Oplus(_u226, _u227, _u228), _u229)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u230) | ( c_Groups_Oplus__class_Oplus(_u230, _u231, c_Groups_Oplus__class_Oplus(_u230, _u232, _u233)) = c_Groups_Oplus__class_Oplus(_u230, _u232, c_Groups_Oplus__class_Oplus(_u230, _u231, _u233))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u234) | ( c_Groups_Oplus__class_Oplus(_u234, _u235, _u236) = c_Groups_Oplus__class_Oplus(_u234, _u236, _u235)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) != c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u238 = _u240) | ( _u239 = _u241) )).
% 15.21/15.39 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) = c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u238 != _u240) )).
% 15.21/15.39 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) = c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u239 != _u241) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u242) | ( c_Groups_Oplus__class_Oplus(_u242, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), _u243), _u244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), _u245), _u244)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), c_Groups_Oplus__class_Oplus(_u242, _u243, _u245)), _u244)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left_Oadd ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), c_Groups_Oplus__class_Oplus(_u246, _u247, _u248)), _u249) = c_Groups_Oplus__class_Oplus(_u246, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), _u247), _u249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), _u248), _u249))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Oadd__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Oadd__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u250) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), c_Groups_Oplus__class_Oplus(_u250, _u251, _u252)), _u253) = c_Groups_Oplus__class_Oplus(_u250, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u251), _u253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u252), _u253))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u254) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), c_Groups_Oplus__class_Oplus(_u254, _u255, _u256)), _u257) = c_Groups_Oplus__class_Oplus(_u254, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), _u255), _u257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), _u256), _u257))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( _u259 = _u260) | ( _u261 = _u262) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) != c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) )).
% 15.21/15.39 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) = c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) | ( _u259 != _u260) )).
% 15.21/15.39 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) = c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) | ( _u261 != _u262) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right_Oadd ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u263) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), c_Groups_Oplus__class_Oplus(_u263, _u265, _u266)) = c_Groups_Oplus__class_Oplus(_u263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u266))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u267) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), c_Groups_Oplus__class_Oplus(_u267, _u269, _u270)) = c_Groups_Oplus__class_Oplus(_u267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), _u269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), _u270))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Oadd__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Oadd__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u271) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), c_Groups_Oplus__class_Oplus(_u271, _u273, _u274)) = c_Groups_Oplus__class_Oplus(_u271, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), _u273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), _u274))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u275), _u276), c_Groups_Oone__class_Oone(_u275)) = _u276) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u277) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u277), c_Groups_Oone__class_Oone(_u277)), _u278) = _u278) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u279) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u279), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u279), _u280), _u281)), _u282) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u279), hAPP(hAPP(c_Power_Opower__class_Opower(_u279), _u280), _u282)), hAPP(hAPP(c_Power_Opower__class_Opower(_u279), _u281), _u282))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u283) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u283), _u284), _u285)), _u286) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u283), hAPP(hAPP(c_Power_Opower__class_Opower(_u283), _u284), _u286)), hAPP(hAPP(c_Power_Opower__class_Opower(_u283), _u285), _u286))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), hAPP(hAPP(c_Power_Opower__class_Opower(_u287), _u288), _u289)), _u288) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), _u288), hAPP(hAPP(c_Power_Opower__class_Opower(_u287), _u288), _u289))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u290) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u290), c_Groups_Oone__class_Oone(_u290)), _u291) = c_Groups_Oone__class_Oone(_u290)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u292) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u292), _u293), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u293) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u294), _u295), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u295) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u296) | ( c_Groups_Oplus__class_Oplus(_u296, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), _u297), _u298), _u298) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), c_Groups_Oplus__class_Oplus(_u296, _u297, c_Groups_Oone__class_Oone(_u296))), _u298)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u299) | ( c_Groups_Oplus__class_Oplus(_u299, _u300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u299), _u301), _u300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u299), c_Groups_Oplus__class_Oplus(_u299, _u301, c_Groups_Oone__class_Oone(_u299))), _u300)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u302) | ( c_Groups_Oplus__class_Oplus(_u302, _u303, _u303) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u302), c_Groups_Oplus__class_Oplus(_u302, c_Groups_Oone__class_Oone(_u302), c_Groups_Oone__class_Oone(_u302))), _u303)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u304) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u305, _u306) | ~c_Orderings_Oord__class_Oless(_u304, c_Groups_Oone__class_Oone(_u304), _u307) | c_Orderings_Oord__class_Oless(_u304, hAPP(hAPP(c_Power_Opower__class_Opower(_u304), _u307), _u305), hAPP(hAPP(c_Power_Opower__class_Opower(_u304), _u307), _u306)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u308) | ~c_Orderings_Oord__class_Oless(_u308, c_Groups_Oone__class_Oone(_u308), _u309) | ~c_Orderings_Oord__class_Oless(_u308, hAPP(hAPP(c_Power_Opower__class_Opower(_u308), _u309), _u310), hAPP(hAPP(c_Power_Opower__class_Opower(_u308), _u309), _u311)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u310, _u311) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2) )).
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-3, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Bseq__inverse__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Bseq__inverse__lemma-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u313) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u314, c_RealVector_Onorm__class_Onorm(_u313, _u315)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u314) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u313, c_Rings_Oinverse__class_Oinverse(_u313, _u315)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u314)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u316) | ~c_Orderings_Oord__class_Oless(_u316, _u317, _u318) | ~c_Orderings_Oord__class_Oless(_u316, _u319, _u318) | ~c_Orderings_Oord__class_Oless__eq(_u316, c_Groups_Ozero__class_Ozero(_u316), _u320) | ~c_Orderings_Oord__class_Oless__eq(_u316, c_Groups_Ozero__class_Ozero(_u316), _u321) | ( c_Groups_Oplus__class_Oplus(_u316, _u320, _u321) != c_Groups_Oone__class_Oone(_u316)) | c_Orderings_Oord__class_Oless(_u316, c_Groups_Oplus__class_Oplus(_u316, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u316), _u320), _u317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u316), _u321), _u319)), _u318) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__ratiotest__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__ratiotest__lemma-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u322) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u323, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u322, _u324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u323), c_RealVector_Onorm__class_Onorm(_u322, _u325))) | ( _u324 = c_Groups_Ozero__class_Ozero(_u322)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__zeroE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u326, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__le__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__le__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u327) | ~c_Orderings_Oord__class_Oless(_u327, c_Groups_Ozero__class_Ozero(_u327), _u328) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u328, c_Groups_Oone__class_Oone(_u327)) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Oone__class_Oone(_u327), c_Rings_Oinverse__class_Oinverse(_u327, _u328)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__less__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__less__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | ~c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | c_Orderings_Oord__class_Oless__eq(_u329, _u330, c_Groups_Ozero__class_Ozero(_u329)) | c_Orderings_Oord__class_Oless(_u329, c_Groups_Oone__class_Oone(_u329), _u330) )).
% 15.21/15.39 cnf(fact_inverse__less__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | ~c_Orderings_Oord__class_Oless__eq(_u329, _u330, c_Groups_Ozero__class_Ozero(_u329)) )).
% 15.21/15.39 cnf(fact_inverse__less__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | ~c_Orderings_Oord__class_Oless(_u329, c_Groups_Oone__class_Oone(_u329), _u330) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__le__inverse__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__le__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) | c_Orderings_Oord__class_Oless(_u331, c_Groups_Ozero__class_Ozero(_u331), _u332) )).
% 15.21/15.39 cnf(fact_one__le__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) | c_Orderings_Oord__class_Oless__eq(_u331, _u332, c_Groups_Oone__class_Oone(_u331)) )).
% 15.21/15.39 cnf(fact_one__le__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless(_u331, c_Groups_Ozero__class_Ozero(_u331), _u332) | ~c_Orderings_Oord__class_Oless__eq(_u331, _u332, c_Groups_Oone__class_Oone(_u331)) | c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u333) | ~c_Orderings_Oord__class_Oless__eq(_u333, _u334, _u335) | ~c_Orderings_Oord__class_Oless__eq(_u333, _u336, _u335) | ~c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Ozero__class_Ozero(_u333), _u337) | ~c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Ozero__class_Ozero(_u333), _u338) | ( c_Groups_Oplus__class_Oplus(_u333, _u337, _u338) != c_Groups_Oone__class_Oone(_u333)) | c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Oplus__class_Oplus(_u333, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u333), _u337), _u334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u333), _u338), _u336)), _u335) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem3(_u340)) )).
% 15.21/15.39 cnf(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3(_u340), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3(_u340), _u340) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__inverse__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__inverse__left-1, axiom, ( ( _u341 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u341)), _u341) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_kas_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_kas_I1_J-1, axiom, ( ( v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_w0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_w0-1, axiom, ( ( v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u342) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_w ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_w-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u343, _u343) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__square ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__square-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u344, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u344), _u344)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__cube-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u345, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u345), _u345))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u346), _u347) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u347), _u346)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u348, _u349) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u349, _u348) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u350), _u351)), _u352) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u351), _u352))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__imp__le-1, axiom, ( ( _u353 != _u354) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u353, _u354) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u355, _u356) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u355), _u357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u356), _u357)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u358, _u359) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u360), _u358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u360), _u359)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u361, _u362) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u362, _u363) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u361, _u363) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u364, _u365) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u365, _u364) | ( _u364 = _u365) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u366, _u367) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u368, _u369) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u366), _u368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u367), _u369)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__0__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u371, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u371 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_le__0__eq-2, axiom, ( ( _u372 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__eq__nat_Osimps_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u373) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__or__eq__imp__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u374, _u375) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u374, _u375) )).
% 15.21/15.39 cnf(fact_less__or__eq__imp__le-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u374, _u375) | ( _u374 != _u375) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__neq__implies__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u376, _u377) | ( _u376 = _u377) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u376, _u377) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__imp__le__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u378, _u379) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u378, _u379) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u382, _u384) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u382, _u384) | ( _u382 = _u384) )).
% 15.21/15.39 cnf(fact_le__eq__less__or__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u383, _u385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u383, _u385) )).
% 15.21/15.39 cnf(fact_le__eq__less__or__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u383, _u385) | ( _u383 != _u385) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__less__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u388, _u390) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u388, _u390) )).
% 15.21/15.39 cnf(fact_nat__less__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u388, _u390) | ( _u388 != _u390) )).
% 15.21/15.39 cnf(fact_nat__less__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u389, _u391) | ( _u389 = _u391) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u389, _u391) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u392, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u393, _u392)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u394, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u394, _u395)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__Suc__ex__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__Suc__ex__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u400, _u402) | ( _u402 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u400, skolem4(_u402, _u400))) )).
% 15.21/15.39 cnf(fact_le__Suc__ex__iff-2, axiom, ( ( _u403 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u401, _u397)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u401, _u403) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__iff__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u408, _u410) | ( _u410 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u408, skolem5(_u410, _u408))) )).
% 15.21/15.39 cnf(fact_le__iff__add-2, axiom, ( ( _u411 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u409, _u405)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u409, _u411) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__left__cancel__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u417, _u419) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u415, _u417), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u415, _u419)) )).
% 15.21/15.39 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u418, _u420) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u416, _u418), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u416, _u420)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_trans__le__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u421, _u422) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u421, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u422, _u423)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_trans__le__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u424, _u425) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u424, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u426, _u425)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u427, _u428) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u427, _u429), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u428, _u429)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u430, _u431) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u432, _u433) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u430, _u432), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u431, _u433)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__leD2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u435, _u436) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u434, _u435), _u436) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__leD1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u437, _u438), _u439) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u437, _u439) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__leE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u440, _u441), _u442) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u440, _u442) )).
% 15.21/15.39 cnf(fact_add__leE-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u440, _u441), _u442) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u441, _u442) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u446), _u448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u450), _u448)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u448) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u446, _u450) )).
% 15.21/15.39 cnf(fact_mult__le__cancel2-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u447), _u449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u451), _u449)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u449) )).
% 15.21/15.39 cnf(fact_mult__le__cancel2-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u447), _u449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u451), _u449)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u447, _u451) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u455), _u457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u455), _u459)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u455) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u457, _u459) )).
% 15.21/15.39 cnf(fact_mult__le__cancel1-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u460)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u456) )).
% 15.21/15.39 cnf(fact_mult__le__cancel1-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u460)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u458, _u460) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u461) | ( _u462 = _u463) | c_Orderings_Oord__class_Oless(_u461, _u462, _u463) | c_Orderings_Oord__class_Oless(_u461, _u463, _u462) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u467), _u469) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u471), _u469)) | ( _u467 = _u471) | ( _u469 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u468), _u470) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u472), _u470)) | ( _u468 != _u472) )).
% 15.21/15.39 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u468), _u470) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u472), _u470)) | ( _u470 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u476), _u478) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u476), _u480)) | ( _u478 = _u480) | ( _u476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u479) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u481)) | ( _u479 != _u481) )).
% 15.21/15.39 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u479) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u481)) | ( _u477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u484), _u486) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u485), _u487) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u485 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u485), _u487) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u488), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u489) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__le__antisym ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u490, _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u491, _u490) | ( _u490 = _u491) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__le__trans ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u494) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__le__linear ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u495, _u496) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u495) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__le__refl ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u497, _u497) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__less__cases-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u498, _u499) | ( _u498 = _u499) | hBOOL(hAPP(hAPP(_u500, _u499), _u498)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u499, _u498) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__not__refl3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u501, _u502) | ( _u501 != _u502) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__not__refl2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u503, _u504) | ( _u504 != _u503) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__irrefl__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u505, _u505) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u506 = _u507) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u506, _u507) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u507, _u506) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__neq__iff-1, axiom, ( ( _u510 = _u512) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u510, _u512) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u512, _u510) )).
% 15.21/15.39 cnf(fact_nat__neq__iff-2, axiom, ( ( _u511 != _u513) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u511, _u513) )).
% 15.21/15.39 cnf(fact_nat__neq__iff-3, axiom, ( ( _u511 != _u513) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u513, _u511) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__not__refl-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u514, _u514) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u515, _u516) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u516, _u515)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u517, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u518, _u519)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u518, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u517, _u519))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u520, _u521), _u522) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u520, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u521, _u522))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u528 = _u530) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u526, _u528) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u526, _u530)) )).
% 15.21/15.39 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u529 != _u531) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u527, _u529) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u527, _u531)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__right__cancel-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u535, _u537) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u539, _u537)) | ( _u535 = _u539) )).
% 15.21/15.39 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u536 != _u540) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u536, _u538) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u540, _u538)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u542, _u543)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), _u542), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), _u543))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u544, _u545)), _u546) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u544), _u546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u545), _u546))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u547), _u548) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u548), _u547)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u549), _u550)), _u551) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u549), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u550), _u551))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u552) | ( c_Rings_Oinverse__class_Oinverse(_u552, _u553) != c_Rings_Oinverse__class_Oinverse(_u552, _u554)) | ( _u553 = _u554) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__eq__iff__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__eq__iff__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u555) | ( c_Rings_Oinverse__class_Oinverse(_u555, _u556) != c_Rings_Oinverse__class_Oinverse(_u555, _u557)) | ( _u556 = _u557) )).
% 15.21/15.39 cnf(fact_inverse__eq__iff__eq-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u555) | ( _u556 != _u557) | ( c_Rings_Oinverse__class_Oinverse(_u555, _u556) = c_Rings_Oinverse__class_Oinverse(_u555, _u557)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__inverse__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u558) | ( c_Rings_Oinverse__class_Oinverse(_u558, c_Rings_Oinverse__class_Oinverse(_u558, _u559)) = _u559) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u560) = _u560) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__1__eq__mult__iff-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u563), _u565)) | ( _u563 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__1__eq__mult__iff-2, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u563), _u565)) | ( _u565 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u564 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u566 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u564), _u566)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u567), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u567) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u570), _u572) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u570 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u570), _u572) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u572 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u571 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u573 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u571), _u573) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u574) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u574), c_Groups_Ozero__class_Ozero(_u574)), _u575) = c_Groups_Ozero__class_Ozero(_u574)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u576) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u576), _u577), c_Groups_Ozero__class_Ozero(_u576)) = c_Groups_Ozero__class_Ozero(_u576)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) != c_Groups_Ozero__class_Ozero(_u578)) | ( _u579 = c_Groups_Ozero__class_Ozero(_u578)) | ( _u580 = c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.39 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) = c_Groups_Ozero__class_Ozero(_u578)) | ( _u579 != c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.39 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) = c_Groups_Ozero__class_Ozero(_u578)) | ( _u580 != c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u581) | ( _u582 = c_Groups_Ozero__class_Ozero(_u581)) | ( _u583 = c_Groups_Ozero__class_Ozero(_u581)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u581), _u582), _u583) != c_Groups_Ozero__class_Ozero(_u581)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u584) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u584), _u585), _u586) != c_Groups_Ozero__class_Ozero(_u584)) | ( _u585 = c_Groups_Ozero__class_Ozero(_u584)) | ( _u586 = c_Groups_Ozero__class_Ozero(_u584)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u587) | ( c_Groups_Oone__class_Oone(_u587) != c_Groups_Ozero__class_Ozero(_u587)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u588) | ( c_Groups_Ozero__class_Ozero(_u588) != c_Groups_Oone__class_Oone(_u588)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), c_Groups_Oplus__class_Oplus(_u589, _u590, _u591)), _u592) = c_Groups_Oplus__class_Oplus(_u589, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), _u590), _u592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), _u591), _u592))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u593) | ( c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), _u594), _u595), c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), _u596), _u595), _u597)) = c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), c_Groups_Oplus__class_Oplus(_u593, _u594, _u596)), _u595), _u597)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u598) | ( c_Rings_Oinverse__class_Oinverse(_u598, _u599) != c_Rings_Oinverse__class_Oinverse(_u598, _u600)) | ( _u599 = c_Groups_Ozero__class_Ozero(_u598)) | ( _u600 = c_Groups_Ozero__class_Ozero(_u598)) | ( _u599 = _u600) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__zero__imp__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__zero__imp__zero-1, axiom, ( ~class_Rings_Odivision__ring(_u601) | ( c_Rings_Oinverse__class_Oinverse(_u601, _u602) != c_Groups_Ozero__class_Ozero(_u601)) | ( _u602 = c_Groups_Ozero__class_Ozero(_u601)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__inverse__inverse__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u603) | ( _u604 = c_Groups_Ozero__class_Ozero(_u603)) | ( c_Rings_Oinverse__class_Oinverse(_u603, c_Rings_Oinverse__class_Oinverse(_u603, _u604)) = _u604) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__imp__inverse__nonzero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__imp__inverse__nonzero-1, axiom, ( ~class_Rings_Odivision__ring(_u605) | ( _u606 = c_Groups_Ozero__class_Ozero(_u605)) | ( c_Rings_Oinverse__class_Oinverse(_u605, _u606) != c_Groups_Ozero__class_Ozero(_u605)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__nonzero__iff__nonzero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__nonzero__iff__nonzero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u607) | ( c_Rings_Oinverse__class_Oinverse(_u607, _u608) != c_Groups_Ozero__class_Ozero(_u607)) | ( _u608 = c_Groups_Ozero__class_Ozero(_u607)) )).
% 15.21/15.39 cnf(fact_inverse__nonzero__iff__nonzero-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u607) | ( _u608 != c_Groups_Ozero__class_Ozero(_u607)) | ( c_Rings_Oinverse__class_Oinverse(_u607, _u608) = c_Groups_Ozero__class_Ozero(_u607)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u609) | ( c_Rings_Oinverse__class_Oinverse(_u609, c_Groups_Ozero__class_Ozero(_u609)) = c_Groups_Ozero__class_Ozero(_u609)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_field__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_field__inverse__zero-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u610) | ( c_Rings_Oinverse__class_Oinverse(_u610, c_Groups_Ozero__class_Ozero(_u610)) = c_Groups_Ozero__class_Ozero(_u610)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_gr0I-1, axiom, ( ( _u611 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u611) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u612, _u613) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u614) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u614), _u612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u614), _u613)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u615, _u616) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u617) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u615), _u617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u616), _u617)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_gr__implies__not0-1, axiom, ( ( _u619 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u618, _u619) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u623), _u625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u627), _u625)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u625) )).
% 15.21/15.39 cnf(fact_mult__less__cancel2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u623), _u625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u627), _u625)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u623, _u627) )).
% 15.21/15.39 cnf(fact_mult__less__cancel2-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u626) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u624, _u628) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u624), _u626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u628), _u626)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u634), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u636)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u632) )).
% 15.21/15.39 cnf(fact_mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u634), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u636)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u634, _u636) )).
% 15.21/15.39 cnf(fact_mult__less__cancel1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u633) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u635, _u637) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u637)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__nat__zero__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u638, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__0__less__mult__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u641), _u643)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u641) )).
% 15.21/15.39 cnf(fact_nat__0__less__mult__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u641), _u643)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u643) )).
% 15.21/15.39 cnf(fact_nat__0__less__mult__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u642) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u644) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u642), _u644)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neq0__conv-1, axiom, ( ( _u646 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u646) )).
% 15.21/15.39 cnf(fact_neq0__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u647) | ( _u647 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u648, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__less__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__less__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u651, _u653) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u651, _u653) )).
% 15.21/15.39 cnf(fact_real__less__def-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u651, _u653) | ( _u651 != _u653) )).
% 15.21/15.39 cnf(fact_real__less__def-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u652, _u654) | ( _u652 = _u654) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u652, _u654) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__eq__real__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__eq__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u657, _u659) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u657, _u659) | ( _u657 = _u659) )).
% 15.21/15.39 cnf(fact_less__eq__real__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u658, _u660) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u658, _u660) )).
% 15.21/15.39 cnf(fact_less__eq__real__def-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u658, _u660) | ( _u658 != _u660) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u661) = _u661) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u662) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__is__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u665, _u667) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u665 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_add__is__0-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u665, _u667) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u667 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_add__is__0-3, axiom, ( ( _u666 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u666, _u668) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u670 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, _u670) != _u669) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__mult__distrib-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u671) | ( c_Rings_Oinverse__class_Oinverse(_u671, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u671), _u672), _u673)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u671), c_Rings_Oinverse__class_Oinverse(_u671, _u672)), c_Rings_Oinverse__class_Oinverse(_u671, _u673))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__1-1, axiom, ( ~class_Rings_Odivision__ring(_u674) | ( c_Rings_Oinverse__class_Oinverse(_u674, c_Groups_Oone__class_Oone(_u674)) = c_Groups_Oone__class_Oone(_u674)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__eq__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__eq__1__iff-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u675) | ( c_Rings_Oinverse__class_Oinverse(_u675, _u676) != c_Groups_Oone__class_Oone(_u675)) | ( _u676 = c_Groups_Oone__class_Oone(_u675)) )).
% 15.21/15.39 cnf(fact_inverse__eq__1__iff-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u675) | ( _u676 != c_Groups_Oone__class_Oone(_u675)) | ( c_Rings_Oinverse__class_Oinverse(_u675, _u676) = c_Groups_Oone__class_Oone(_u675)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__add__less1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u677, _u678), _u677) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__add__less2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u680), _u680) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__add__left__cancel__less-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u686, _u688) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u684, _u686), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u684, _u688)) )).
% 15.21/15.39 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u687, _u689) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u685, _u687), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u685, _u689)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_trans__less__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u691, _u692)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_trans__less__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u693, _u694) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u693, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u695, _u694)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u696, _u697) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u696, _u698), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u697, _u698)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u699, _u700) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u701, _u702) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u699, _u701), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u700, _u702)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__add__eq__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u703, _u704) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u705, _u704) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u703, _u706)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u705, _u706) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__lessD1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u707, _u708), _u709) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u707, _u709) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__right__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__right__cancel-1, axiom, ( ( _u710 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u711), _u710) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u712), _u710)) | ( _u711 = _u712) )).
% 15.21/15.39 cnf(fact_real__mult__right__cancel-2, axiom, ( ( _u710 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u711 != _u712) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u711), _u710) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u712), _u710)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__left__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__left__cancel-1, axiom, ( ( _u713 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u714) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u715)) | ( _u714 = _u715) )).
% 15.21/15.39 cnf(fact_real__mult__left__cancel-2, axiom, ( ( _u713 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u714 != _u715) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u714) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u715)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u716 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u716), _u717)) | ( _u717 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u716 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__zero__not__eq__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__zero__not__eq__one-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u718, _u719) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u720, _u718), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u720, _u719)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u721) = _u721) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u722, _u723)), _u724) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u722), _u724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u723), _u724))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_INVERSE__ZERO ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_INVERSE__ZERO-1, axiom, ( ( c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u725) | c_Orderings_Oord__class_Oless__eq(_u725, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u725), _u726), _u727), c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, c_Groups_Ozero__class_Ozero(_u725), _u726) | ~c_Orderings_Oord__class_Oless__eq(_u725, _u727, c_Groups_Ozero__class_Ozero(_u725)) )).
% 15.21/15.39 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u725) | c_Orderings_Oord__class_Oless__eq(_u725, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u725), _u726), _u727), c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, _u726, c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, c_Groups_Ozero__class_Ozero(_u725), _u727) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u728) | c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u728), _u729), _u730)) | ~c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), _u729) | ~c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), _u730) )).
% 15.21/15.39 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u728) | c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u728), _u729), _u730)) | ~c_Orderings_Oord__class_Oless__eq(_u728, _u729, c_Groups_Ozero__class_Ozero(_u728)) | ~c_Orderings_Oord__class_Oless__eq(_u728, _u730, c_Groups_Ozero__class_Ozero(_u728)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u731) | ~c_Orderings_Oord__class_Oless__eq(_u731, _u732, _u733) | ~c_Orderings_Oord__class_Oless__eq(_u731, _u734, _u735) | ~c_Orderings_Oord__class_Oless__eq(_u731, c_Groups_Ozero__class_Ozero(_u731), _u733) | ~c_Orderings_Oord__class_Oless__eq(_u731, c_Groups_Ozero__class_Ozero(_u731), _u734) | c_Orderings_Oord__class_Oless__eq(_u731, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u731), _u732), _u734), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u731), _u733), _u735)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u736) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u737, _u738) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u739, _u740) | ~c_Orderings_Oord__class_Oless__eq(_u736, c_Groups_Ozero__class_Ozero(_u736), _u737) | ~c_Orderings_Oord__class_Oless__eq(_u736, c_Groups_Ozero__class_Ozero(_u736), _u739) | c_Orderings_Oord__class_Oless__eq(_u736, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u736), _u737), _u739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u736), _u738), _u740)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u741) | ~c_Orderings_Oord__class_Oless__eq(_u741, _u742, _u743) | ~c_Orderings_Oord__class_Oless__eq(_u741, _u744, c_Groups_Ozero__class_Ozero(_u741)) | c_Orderings_Oord__class_Oless__eq(_u741, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u741), _u744), _u743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u741), _u744), _u742)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u745) | ~c_Orderings_Oord__class_Oless__eq(_u745, _u746, _u747) | ~c_Orderings_Oord__class_Oless__eq(_u745, _u748, c_Groups_Ozero__class_Ozero(_u745)) | c_Orderings_Oord__class_Oless__eq(_u745, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u745), _u747), _u748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u745), _u746), _u748)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u749) | ~c_Orderings_Oord__class_Oless__eq(_u749, _u750, _u751) | ~c_Orderings_Oord__class_Oless__eq(_u749, c_Groups_Ozero__class_Ozero(_u749), _u752) | c_Orderings_Oord__class_Oless__eq(_u749, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u749), _u752), _u750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u749), _u752), _u751)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u753) | ~c_Orderings_Oord__class_Oless__eq(_u753, _u754, _u755) | ~c_Orderings_Oord__class_Oless__eq(_u753, c_Groups_Ozero__class_Ozero(_u753), _u756) | c_Orderings_Oord__class_Oless__eq(_u753, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u753), _u756), _u754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u753), _u756), _u755)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u757) | ~c_Orderings_Oord__class_Oless__eq(_u757, _u758, _u759) | ~c_Orderings_Oord__class_Oless__eq(_u757, c_Groups_Ozero__class_Ozero(_u757), _u760) | c_Orderings_Oord__class_Oless__eq(_u757, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u757), _u758), _u760), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u757), _u759), _u760)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u761) | ~c_Orderings_Oord__class_Oless__eq(_u761, _u762, c_Groups_Ozero__class_Ozero(_u761)) | ~c_Orderings_Oord__class_Oless__eq(_u761, _u763, c_Groups_Ozero__class_Ozero(_u761)) | c_Orderings_Oord__class_Oless__eq(_u761, c_Groups_Ozero__class_Ozero(_u761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u761), _u762), _u763)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u764) | ~c_Orderings_Oord__class_Oless__eq(_u764, _u765, c_Groups_Ozero__class_Ozero(_u764)) | ~c_Orderings_Oord__class_Oless__eq(_u764, c_Groups_Ozero__class_Ozero(_u764), _u766) | c_Orderings_Oord__class_Oless__eq(_u764, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u764), _u765), _u766), c_Groups_Ozero__class_Ozero(_u764)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u767) | ~c_Orderings_Oord__class_Oless__eq(_u767, c_Groups_Ozero__class_Ozero(_u767), _u768) | ~c_Orderings_Oord__class_Oless__eq(_u767, _u769, c_Groups_Ozero__class_Ozero(_u767)) | c_Orderings_Oord__class_Oless__eq(_u767, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u767), _u769), _u768), c_Groups_Ozero__class_Ozero(_u767)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u770) | ~c_Orderings_Oord__class_Oless__eq(_u770, c_Groups_Ozero__class_Ozero(_u770), _u771) | ~c_Orderings_Oord__class_Oless__eq(_u770, _u772, c_Groups_Ozero__class_Ozero(_u770)) | c_Orderings_Oord__class_Oless__eq(_u770, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u770), _u771), _u772), c_Groups_Ozero__class_Ozero(_u770)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u773) | ~c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), _u774) | ~c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), _u775) | c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u773), _u774), _u775)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.39 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.39 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.39 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.39 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | ~c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.39 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u776) | c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.39 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.39 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) | c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.39 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) | c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.39 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) )).
% 15.21/15.39 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u779) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | ~c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) | ~c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u782) | c_Orderings_Oord__class_Oless__eq(_u782, c_Groups_Ozero__class_Ozero(_u782), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), _u783), _u783)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u784) | ~c_Orderings_Oord__class_Oless(_u784, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u784), _u785), _u785), c_Groups_Ozero__class_Ozero(_u784)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, _u787, _u789) | c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, _u787, _u789) | c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | ~c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | ~c_Orderings_Oord__class_Oless(_u786, _u787, _u789) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u786) | c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | ~c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) | ~c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, _u792, _u793) | c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, _u792, _u793) | c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | ~c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | ~c_Orderings_Oord__class_Oless(_u790, _u792, _u793) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u790) | c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | ~c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) | ~c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u794) | ~c_Orderings_Oord__class_Oless(_u794, c_Groups_Ozero__class_Ozero(_u794), _u795) | ~c_Orderings_Oord__class_Oless(_u794, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u797)) | c_Orderings_Oord__class_Oless(_u794, _u796, _u797) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u794) | ~c_Orderings_Oord__class_Oless(_u794, c_Groups_Ozero__class_Ozero(_u794), _u795) | ~c_Orderings_Oord__class_Oless(_u794, _u796, _u797) | c_Orderings_Oord__class_Oless(_u794, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u797)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u798) | ~c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), _u799) | ~c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), _u800) | c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u798), _u799), _u800)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u801) | ~c_Orderings_Oord__class_Oless(_u801, c_Groups_Ozero__class_Ozero(_u801), _u802) | ~c_Orderings_Oord__class_Oless(_u801, _u803, c_Groups_Ozero__class_Ozero(_u801)) | c_Orderings_Oord__class_Oless(_u801, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u801), _u802), _u803), c_Groups_Ozero__class_Ozero(_u801)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u804) | ~c_Orderings_Oord__class_Oless(_u804, c_Groups_Ozero__class_Ozero(_u804), _u805) | ~c_Orderings_Oord__class_Oless(_u804, _u806, c_Groups_Ozero__class_Ozero(_u804)) | c_Orderings_Oord__class_Oless(_u804, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u804), _u806), _u805), c_Groups_Ozero__class_Ozero(_u804)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u807) | ~c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u807), _u808), _u809)) | ~c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), _u808) | c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), _u809) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u810) | ~c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u810), _u811), _u812)) | ~c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), _u812) | c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), _u811) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u813) | ~c_Orderings_Oord__class_Oless(_u813, _u814, c_Groups_Ozero__class_Ozero(_u813)) | ~c_Orderings_Oord__class_Oless(_u813, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u815), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u816)) | c_Orderings_Oord__class_Oless(_u813, _u816, _u815) )).
% 15.21/15.39 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u813) | ~c_Orderings_Oord__class_Oless(_u813, _u814, c_Groups_Ozero__class_Ozero(_u813)) | ~c_Orderings_Oord__class_Oless(_u813, _u816, _u815) | c_Orderings_Oord__class_Oless(_u813, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u815), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u816)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u817) | ~c_Orderings_Oord__class_Oless(_u817, _u818, c_Groups_Ozero__class_Ozero(_u817)) | ~c_Orderings_Oord__class_Oless(_u817, c_Groups_Ozero__class_Ozero(_u817), _u819) | c_Orderings_Oord__class_Oless(_u817, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u817), _u818), _u819), c_Groups_Ozero__class_Ozero(_u817)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u820) | ~c_Orderings_Oord__class_Oless(_u820, _u821, c_Groups_Ozero__class_Ozero(_u820)) | ~c_Orderings_Oord__class_Oless(_u820, _u822, c_Groups_Ozero__class_Ozero(_u820)) | c_Orderings_Oord__class_Oless(_u820, c_Groups_Ozero__class_Ozero(_u820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u820), _u821), _u822)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u823) | ~c_Orderings_Oord__class_Oless(_u823, _u824, _u825) | ~c_Orderings_Oord__class_Oless(_u823, c_Groups_Ozero__class_Ozero(_u823), _u826) | c_Orderings_Oord__class_Oless(_u823, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u823), _u824), _u826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u823), _u825), _u826)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u827) | ~c_Orderings_Oord__class_Oless(_u827, _u828, _u829) | ~c_Orderings_Oord__class_Oless(_u827, c_Groups_Ozero__class_Ozero(_u827), _u830) | c_Orderings_Oord__class_Oless(_u827, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u827), _u830), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u827), _u830), _u829)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u831) | ~c_Orderings_Oord__class_Oless(_u831, _u832, _u833) | ~c_Orderings_Oord__class_Oless(_u831, c_Groups_Ozero__class_Ozero(_u831), _u834) | c_Orderings_Oord__class_Oless(_u831, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u831), _u834), _u832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u831), _u834), _u833)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u835) | ~c_Orderings_Oord__class_Oless(_u835, _u836, _u837) | ~c_Orderings_Oord__class_Oless(_u835, _u838, c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless(_u835, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u835), _u837), _u838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u835), _u836), _u838)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u839) | ~c_Orderings_Oord__class_Oless(_u839, _u840, _u841) | ~c_Orderings_Oord__class_Oless(_u839, _u842, c_Groups_Ozero__class_Ozero(_u839)) | c_Orderings_Oord__class_Oless(_u839, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u839), _u842), _u841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u839), _u842), _u840)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u843) | ~c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), _u844) | ~c_Orderings_Oord__class_Oless(_u843, _u845, _u846) | c_Orderings_Oord__class_Oless(_u843, _u845, c_Groups_Oplus__class_Oplus(_u843, _u844, _u846)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u847) | c_Orderings_Oord__class_Oless__eq(_u847, c_Groups_Ozero__class_Ozero(_u847), c_Groups_Oone__class_Oone(_u847)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u848) | ~c_Orderings_Oord__class_Oless__eq(_u848, c_Groups_Oone__class_Oone(_u848), c_Groups_Ozero__class_Ozero(_u848)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u849) | ~c_Orderings_Oord__class_Oless(_u849, c_Groups_Oone__class_Oone(_u849), c_Groups_Ozero__class_Ozero(_u849)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u850) | c_Orderings_Oord__class_Oless(_u850, c_Groups_Ozero__class_Ozero(_u850), c_Groups_Oone__class_Oone(_u850)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u851) | ~c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), _u852) | ~c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), _u853) | c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u851), _u852), _u853)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u854) | c_Orderings_Oord__class_Oless(_u854, _u855, c_Groups_Oplus__class_Oplus(_u854, _u855, c_Groups_Oone__class_Oone(_u854))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__nonpositive__iff__nonpositive ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__nonpositive__iff__nonpositive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u856) | ~c_Orderings_Oord__class_Oless__eq(_u856, c_Rings_Oinverse__class_Oinverse(_u856, _u857), c_Groups_Ozero__class_Ozero(_u856)) | c_Orderings_Oord__class_Oless__eq(_u856, _u857, c_Groups_Ozero__class_Ozero(_u856)) )).
% 15.21/15.39 cnf(fact_inverse__nonpositive__iff__nonpositive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u856) | ~c_Orderings_Oord__class_Oless__eq(_u856, _u857, c_Groups_Ozero__class_Ozero(_u856)) | c_Orderings_Oord__class_Oless__eq(_u856, c_Rings_Oinverse__class_Oinverse(_u856, _u857), c_Groups_Ozero__class_Ozero(_u856)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__nonnegative__iff__nonnegative ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__nonnegative__iff__nonnegative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u858) | ~c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), c_Rings_Oinverse__class_Oinverse(_u858, _u859)) | c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), _u859) )).
% 15.21/15.39 cnf(fact_inverse__nonnegative__iff__nonnegative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u858) | ~c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), _u859) | c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), c_Rings_Oinverse__class_Oinverse(_u858, _u859)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__less__imp__less__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__less__imp__less__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u860) | ~c_Orderings_Oord__class_Oless(_u860, c_Rings_Oinverse__class_Oinverse(_u860, _u861), c_Rings_Oinverse__class_Oinverse(_u860, _u862)) | ~c_Orderings_Oord__class_Oless(_u860, _u862, c_Groups_Ozero__class_Ozero(_u860)) | c_Orderings_Oord__class_Oless(_u860, _u862, _u861) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__less__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__less__imp__less-1, axiom, ( ~class_Fields_Olinordered__field(_u863) | ~c_Orderings_Oord__class_Oless(_u863, c_Rings_Oinverse__class_Oinverse(_u863, _u864), c_Rings_Oinverse__class_Oinverse(_u863, _u865)) | ~c_Orderings_Oord__class_Oless(_u863, c_Groups_Ozero__class_Ozero(_u863), _u864) | c_Orderings_Oord__class_Oless(_u863, _u865, _u864) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__negative__imp__negative ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__negative__imp__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u866) | ~c_Orderings_Oord__class_Oless(_u866, c_Rings_Oinverse__class_Oinverse(_u866, _u867), c_Groups_Ozero__class_Ozero(_u866)) | ( _u867 = c_Groups_Ozero__class_Ozero(_u866)) | c_Orderings_Oord__class_Oless(_u866, _u867, c_Groups_Ozero__class_Ozero(_u866)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__imp__inverse__less__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__imp__inverse__less__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u868) | ~c_Orderings_Oord__class_Oless(_u868, _u869, _u870) | ~c_Orderings_Oord__class_Oless(_u868, _u870, c_Groups_Ozero__class_Ozero(_u868)) | c_Orderings_Oord__class_Oless(_u868, c_Rings_Oinverse__class_Oinverse(_u868, _u870), c_Rings_Oinverse__class_Oinverse(_u868, _u869)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__imp__inverse__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__imp__inverse__less-1, axiom, ( ~class_Fields_Olinordered__field(_u871) | ~c_Orderings_Oord__class_Oless(_u871, _u872, _u873) | ~c_Orderings_Oord__class_Oless(_u871, c_Groups_Ozero__class_Ozero(_u871), _u872) | c_Orderings_Oord__class_Oless(_u871, c_Rings_Oinverse__class_Oinverse(_u871, _u873), c_Rings_Oinverse__class_Oinverse(_u871, _u872)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_negative__imp__inverse__negative ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_negative__imp__inverse__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u874) | ~c_Orderings_Oord__class_Oless(_u874, _u875, c_Groups_Ozero__class_Ozero(_u874)) | c_Orderings_Oord__class_Oless(_u874, c_Rings_Oinverse__class_Oinverse(_u874, _u875), c_Groups_Ozero__class_Ozero(_u874)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__positive__imp__positive ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__positive__imp__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Rings_Oinverse__class_Oinverse(_u876, _u877)) | ( _u877 = c_Groups_Ozero__class_Ozero(_u876)) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_positive__imp__inverse__positive ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_positive__imp__inverse__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u878) | ~c_Orderings_Oord__class_Oless(_u878, c_Groups_Ozero__class_Ozero(_u878), _u879) | c_Orderings_Oord__class_Oless(_u878, c_Groups_Ozero__class_Ozero(_u878), c_Rings_Oinverse__class_Oinverse(_u878, _u879)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__negative__iff__negative ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__negative__iff__negative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u880) | ~c_Orderings_Oord__class_Oless(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u881), c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless(_u880, _u881, c_Groups_Ozero__class_Ozero(_u880)) )).
% 15.21/15.39 cnf(fact_inverse__negative__iff__negative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u880) | ~c_Orderings_Oord__class_Oless(_u880, _u881, c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u881), c_Groups_Ozero__class_Ozero(_u880)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__positive__iff__positive ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__positive__iff__positive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u882) | ~c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), c_Rings_Oinverse__class_Oinverse(_u882, _u883)) | c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), _u883) )).
% 15.21/15.39 cnf(fact_inverse__positive__iff__positive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u882) | ~c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), _u883) | c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), c_Rings_Oinverse__class_Oinverse(_u882, _u883)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__inverse__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__inverse__mult__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u884) | ( _u885 = c_Groups_Ozero__class_Ozero(_u884)) | ( _u886 = c_Groups_Ozero__class_Ozero(_u884)) | ( c_Rings_Oinverse__class_Oinverse(_u884, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u884), _u885), _u886)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u884), c_Rings_Oinverse__class_Oinverse(_u884, _u886)), c_Rings_Oinverse__class_Oinverse(_u884, _u885))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__unique ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__unique-1, axiom, ( ~class_Rings_Odivision__ring(_u887) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u887), _u888), _u889) != c_Groups_Oone__class_Oone(_u887)) | ( c_Rings_Oinverse__class_Oinverse(_u887, _u888) = _u889) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__gr__0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u892, _u894)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u892) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u894) )).
% 15.21/15.39 cnf(fact_add__gr__0-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u893, _u895)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u893) )).
% 15.21/15.39 cnf(fact_add__gr__0-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u893, _u895)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u895) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__less__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__less__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u896) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u897), _u896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u898), _u896)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u897, _u898) )).
% 15.21/15.39 cnf(fact_real__mult__less__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u896) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u897, _u898) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u897), _u896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u898), _u896)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__order ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__order-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u899) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u900) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u899), _u900)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__less__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u901) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u902, _u903) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u903)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__two__squares__add__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__two__squares__add__zero__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u906), _u906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u908), _u908)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u906 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact_real__two__squares__add__zero__iff-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u906), _u906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u908), _u908)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u908 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact_real__two__squares__add__zero__iff-3, axiom, ( ( _u907 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u909 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u907), _u907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u909), _u909)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u910) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless__eq(_u910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u913)) | c_Orderings_Oord__class_Oless__eq(_u910, _u912, _u913) )).
% 15.21/15.39 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u910) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless__eq(_u910, _u912, _u913) | c_Orderings_Oord__class_Oless__eq(_u910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u913)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u914) | ~c_Orderings_Oord__class_Oless(_u914, _u915, c_Groups_Ozero__class_Ozero(_u914)) | ~c_Orderings_Oord__class_Oless__eq(_u914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u917)) | c_Orderings_Oord__class_Oless__eq(_u914, _u917, _u916) )).
% 15.21/15.39 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u914) | ~c_Orderings_Oord__class_Oless(_u914, _u915, c_Groups_Ozero__class_Ozero(_u914)) | ~c_Orderings_Oord__class_Oless__eq(_u914, _u917, _u916) | c_Orderings_Oord__class_Oless__eq(_u914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u917)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u918) | ~c_Orderings_Oord__class_Oless(_u918, _u919, _u920) | ~c_Orderings_Oord__class_Oless(_u918, _u921, _u922) | ~c_Orderings_Oord__class_Oless(_u918, c_Groups_Ozero__class_Ozero(_u918), _u920) | ~c_Orderings_Oord__class_Oless__eq(_u918, c_Groups_Ozero__class_Ozero(_u918), _u921) | c_Orderings_Oord__class_Oless(_u918, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u918), _u919), _u921), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u918), _u920), _u922)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u923) | ~c_Orderings_Oord__class_Oless(_u923, _u924, _u925) | ~c_Orderings_Oord__class_Oless(_u923, _u926, _u927) | ~c_Orderings_Oord__class_Oless__eq(_u923, c_Groups_Ozero__class_Ozero(_u923), _u924) | ~c_Orderings_Oord__class_Oless__eq(_u923, c_Groups_Ozero__class_Ozero(_u923), _u926) | c_Orderings_Oord__class_Oless(_u923, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u923), _u924), _u926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u923), _u925), _u927)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u928) | ~c_Orderings_Oord__class_Oless(_u928, _u929, _u930) | ~c_Orderings_Oord__class_Oless__eq(_u928, _u931, _u932) | ~c_Orderings_Oord__class_Oless__eq(_u928, c_Groups_Ozero__class_Ozero(_u928), _u929) | ~c_Orderings_Oord__class_Oless(_u928, c_Groups_Ozero__class_Ozero(_u928), _u931) | c_Orderings_Oord__class_Oless(_u928, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u928), _u929), _u931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u928), _u930), _u932)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u933) | ~c_Orderings_Oord__class_Oless__eq(_u933, _u934, _u935) | ~c_Orderings_Oord__class_Oless(_u933, _u936, _u937) | ~c_Orderings_Oord__class_Oless(_u933, c_Groups_Ozero__class_Ozero(_u933), _u934) | ~c_Orderings_Oord__class_Oless__eq(_u933, c_Groups_Ozero__class_Ozero(_u933), _u936) | c_Orderings_Oord__class_Oless(_u933, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u933), _u934), _u936), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u933), _u935), _u937)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u938) | ~c_Orderings_Oord__class_Oless(_u938, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u938), _u939), _u940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u938), _u941), _u940)) | ~c_Orderings_Oord__class_Oless__eq(_u938, c_Groups_Ozero__class_Ozero(_u938), _u940) | c_Orderings_Oord__class_Oless(_u938, _u939, _u941) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u942) | ~c_Orderings_Oord__class_Oless(_u942, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u942), _u943), _u944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u942), _u945), _u944)) | ~c_Orderings_Oord__class_Oless__eq(_u942, c_Groups_Ozero__class_Ozero(_u942), _u944) | c_Orderings_Oord__class_Oless(_u942, _u943, _u945) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u946) | ~c_Orderings_Oord__class_Oless(_u946, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u946), _u947), _u948), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u946), _u947), _u949)) | ~c_Orderings_Oord__class_Oless__eq(_u946, c_Groups_Ozero__class_Ozero(_u946), _u947) | c_Orderings_Oord__class_Oless(_u946, _u948, _u949) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u950) | ~c_Orderings_Oord__class_Oless(_u950, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u950), _u951), _u952), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u950), _u951), _u953)) | ~c_Orderings_Oord__class_Oless__eq(_u950, c_Groups_Ozero__class_Ozero(_u950), _u951) | c_Orderings_Oord__class_Oless(_u950, _u952, _u953) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u954) | ~c_Orderings_Oord__class_Oless__eq(_u954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u954), _u955), _u956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u954), _u957), _u956)) | ~c_Orderings_Oord__class_Oless(_u954, c_Groups_Ozero__class_Ozero(_u954), _u956) | c_Orderings_Oord__class_Oless__eq(_u954, _u955, _u957) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u958), _u959), _u960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u958), _u959), _u961)) | ~c_Orderings_Oord__class_Oless(_u958, c_Groups_Ozero__class_Ozero(_u958), _u959) | c_Orderings_Oord__class_Oless__eq(_u958, _u960, _u961) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u962) | ~c_Orderings_Oord__class_Oless__eq(_u962, c_Groups_Ozero__class_Ozero(_u962), _u963) | ~c_Orderings_Oord__class_Oless__eq(_u962, c_Groups_Ozero__class_Ozero(_u962), _u964) | ~c_Orderings_Oord__class_Oless__eq(_u962, _u964, c_Groups_Oone__class_Oone(_u962)) | c_Orderings_Oord__class_Oless__eq(_u962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u962), _u963), _u964), _u963) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u965) | ~c_Orderings_Oord__class_Oless__eq(_u965, c_Groups_Ozero__class_Ozero(_u965), _u966) | ~c_Orderings_Oord__class_Oless__eq(_u965, c_Groups_Ozero__class_Ozero(_u965), _u967) | ~c_Orderings_Oord__class_Oless__eq(_u965, _u967, c_Groups_Oone__class_Oone(_u965)) | c_Orderings_Oord__class_Oless__eq(_u965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u965), _u967), _u966), _u966) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u968) | c_Orderings_Oord__class_Oless(_u968, c_Groups_Ozero__class_Ozero(_u968), c_Groups_Oplus__class_Oplus(_u968, c_Groups_Oone__class_Oone(_u968), c_Groups_Oone__class_Oone(_u968))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__le__imp__le__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__le__imp__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u969) | ~c_Orderings_Oord__class_Oless__eq(_u969, c_Rings_Oinverse__class_Oinverse(_u969, _u970), c_Rings_Oinverse__class_Oinverse(_u969, _u971)) | ~c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ozero__class_Ozero(_u969)) | c_Orderings_Oord__class_Oless__eq(_u969, _u971, _u970) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__le__imp__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__le__imp__le-1, axiom, ( ~class_Fields_Olinordered__field(_u972) | ~c_Orderings_Oord__class_Oless__eq(_u972, c_Rings_Oinverse__class_Oinverse(_u972, _u973), c_Rings_Oinverse__class_Oinverse(_u972, _u974)) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ozero__class_Ozero(_u972), _u973) | c_Orderings_Oord__class_Oless__eq(_u972, _u974, _u973) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__imp__inverse__le__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__imp__inverse__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u975) | ~c_Orderings_Oord__class_Oless__eq(_u975, _u976, _u977) | ~c_Orderings_Oord__class_Oless(_u975, _u977, c_Groups_Ozero__class_Ozero(_u975)) | c_Orderings_Oord__class_Oless__eq(_u975, c_Rings_Oinverse__class_Oinverse(_u975, _u977), c_Rings_Oinverse__class_Oinverse(_u975, _u976)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__imp__inverse__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__imp__inverse__le-1, axiom, ( ~class_Fields_Olinordered__field(_u978) | ~c_Orderings_Oord__class_Oless__eq(_u978, _u979, _u980) | ~c_Orderings_Oord__class_Oless(_u978, c_Groups_Ozero__class_Ozero(_u978), _u979) | c_Orderings_Oord__class_Oless__eq(_u978, c_Rings_Oinverse__class_Oinverse(_u978, _u980), c_Rings_Oinverse__class_Oinverse(_u978, _u979)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__le__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__le__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | ~c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | c_Orderings_Oord__class_Oless__eq(_u981, _u982, c_Groups_Ozero__class_Ozero(_u981)) | c_Orderings_Oord__class_Oless__eq(_u981, c_Groups_Oone__class_Oone(_u981), _u982) )).
% 15.21/15.39 cnf(fact_inverse__le__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | ~c_Orderings_Oord__class_Oless__eq(_u981, _u982, c_Groups_Ozero__class_Ozero(_u981)) )).
% 15.21/15.39 cnf(fact_inverse__le__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | ~c_Orderings_Oord__class_Oless__eq(_u981, c_Groups_Oone__class_Oone(_u981), _u982) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_division__ring__inverse__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_division__ring__inverse__add-1, axiom, ( ~class_Rings_Odivision__ring(_u983) | ( _u984 = c_Groups_Ozero__class_Ozero(_u983)) | ( _u985 = c_Groups_Ozero__class_Ozero(_u983)) | ( c_Groups_Oplus__class_Oplus(_u983, c_Rings_Oinverse__class_Oinverse(_u983, _u984), c_Rings_Oinverse__class_Oinverse(_u983, _u985)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u983), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u983), c_Rings_Oinverse__class_Oinverse(_u983, _u984)), c_Groups_Oplus__class_Oplus(_u983, _u984, _u985))), c_Rings_Oinverse__class_Oinverse(_u983, _u985))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__add-1, axiom, ( ~class_Fields_Ofield(_u986) | ( _u987 = c_Groups_Ozero__class_Ozero(_u986)) | ( _u988 = c_Groups_Ozero__class_Ozero(_u986)) | ( c_Groups_Oplus__class_Oplus(_u986, c_Rings_Oinverse__class_Oinverse(_u986, _u987), c_Rings_Oinverse__class_Oinverse(_u986, _u988)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u986), c_Groups_Oplus__class_Oplus(_u986, _u987, _u988)), c_Rings_Oinverse__class_Oinverse(_u986, _u987))), c_Rings_Oinverse__class_Oinverse(_u986, _u988))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__less__inverse__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__less__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) | c_Orderings_Oord__class_Oless(_u989, c_Groups_Ozero__class_Ozero(_u989), _u990) )).
% 15.21/15.39 cnf(fact_one__less__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) | c_Orderings_Oord__class_Oless(_u989, _u990, c_Groups_Oone__class_Oone(_u989)) )).
% 15.21/15.39 cnf(fact_one__less__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Ozero__class_Ozero(_u989), _u990) | ~c_Orderings_Oord__class_Oless(_u989, _u990, c_Groups_Oone__class_Oone(_u989)) | c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__less__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__less__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u991) | ~c_Orderings_Oord__class_Oless(_u991, c_Groups_Ozero__class_Ozero(_u991), _u992) | ~c_Orderings_Oord__class_Oless(_u991, _u992, c_Groups_Oone__class_Oone(_u991)) | c_Orderings_Oord__class_Oless(_u991, c_Groups_Oone__class_Oone(_u991), c_Rings_Oinverse__class_Oinverse(_u991, _u992)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_right__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_right__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u993) | ( _u994 = c_Groups_Ozero__class_Ozero(_u993)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u993), _u994), c_Rings_Oinverse__class_Oinverse(_u993, _u994)) = c_Groups_Oone__class_Oone(_u993)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_field__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_field__inverse-1, axiom, ( ~class_Fields_Ofield(_u995) | ( _u996 = c_Groups_Ozero__class_Ozero(_u995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u995), c_Rings_Oinverse__class_Oinverse(_u995, _u996)), _u996) = c_Groups_Oone__class_Oone(_u995)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_left__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_left__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u997) | ( _u998 = c_Groups_Ozero__class_Ozero(_u997)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u997), c_Rings_Oinverse__class_Oinverse(_u997, _u998)), _u998) = c_Groups_Oone__class_Oone(_u997)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__le__cancel__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__le__cancel__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u999) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1000), _u999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1001), _u999)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1000, _u1001) )).
% 15.21/15.39 cnf(fact_real__mult__le__cancel__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u999) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1000, _u1001) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1000), _u999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1001), _u999)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__le__cancel__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__le__cancel__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1002) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1004)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1003, _u1004) )).
% 15.21/15.39 cnf(fact_real__mult__le__cancel__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1002) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1003, _u1004) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1004)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__inverse__cancel2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__inverse__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1005) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1006) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1006), _u1007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1005), _u1008)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1007), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1005)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1008), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1006))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__mult__inverse__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__mult__inverse__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1009) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1010) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1010), _u1011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1009), _u1012)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1009)), _u1011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1010)), _u1012)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1013) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1015)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1014, _u1015) )).
% 15.21/15.39 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1013) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1014, _u1015) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1015)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1016) | ~c_Orderings_Oord__class_Oless(_u1016, c_Groups_Oplus__class_Oplus(_u1016, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1016), _u1017), _u1017), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1016), _u1018), _u1018)), c_Groups_Ozero__class_Ozero(_u1016)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1019) | ~c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1020 != c_Groups_Ozero__class_Ozero(_u1019)) | ( _u1021 != c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.39 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1019) | c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1020 = c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.39 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1019) | c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1021 = c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1022) | c_Orderings_Oord__class_Oless__eq(_u1022, c_Groups_Ozero__class_Ozero(_u1022), c_Groups_Oplus__class_Oplus(_u1022, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1022), _u1023), _u1023), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1022), _u1024), _u1024))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ~c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1026 = c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.39 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ~c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1027 = c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.39 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ( _u1026 != c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1027 != c_Groups_Ozero__class_Ozero(_u1025)) | c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1028) | ~c_Orderings_Oord__class_Oless(_u1028, c_Groups_Ozero__class_Ozero(_u1028), _u1029) | ~c_Orderings_Oord__class_Oless__eq(_u1028, c_Groups_Ozero__class_Ozero(_u1028), _u1030) | c_Orderings_Oord__class_Oless(_u1028, c_Groups_Ozero__class_Ozero(_u1028), c_Groups_Oplus__class_Oplus(_u1028, _u1029, _u1030)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1031) | ~c_Orderings_Oord__class_Oless__eq(_u1031, c_Groups_Ozero__class_Ozero(_u1031), _u1032) | ~c_Orderings_Oord__class_Oless(_u1031, c_Groups_Ozero__class_Ozero(_u1031), _u1033) | c_Orderings_Oord__class_Oless(_u1031, c_Groups_Ozero__class_Ozero(_u1031), c_Groups_Oplus__class_Oplus(_u1031, _u1032, _u1033)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u1034) | ( c_Groups_Ozero__class_Ozero(_u1034) != _u1035) | ( _u1035 = c_Groups_Ozero__class_Ozero(_u1034)) )).
% 15.21/15.39 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u1034) | ( _u1035 != c_Groups_Ozero__class_Ozero(_u1034)) | ( c_Groups_Ozero__class_Ozero(_u1034) = _u1035) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1037), _u1038)), _u1039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1038), _u1039))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1040) | ( c_Groups_Oplus__class_Oplus(_u1040, _u1041, _u1042) != c_Groups_Oplus__class_Oplus(_u1040, _u1043, _u1042)) | ( _u1041 = _u1043) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1044) | ( c_Groups_Oplus__class_Oplus(_u1044, _u1045, _u1046) != c_Groups_Oplus__class_Oplus(_u1044, _u1045, _u1047)) | ( _u1046 = _u1047) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1048) | ( c_Groups_Oplus__class_Oplus(_u1048, _u1049, _u1050) != c_Groups_Oplus__class_Oplus(_u1048, _u1049, _u1051)) | ( _u1050 = _u1051) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1052) | ( c_Groups_Oplus__class_Oplus(_u1052, _u1053, _u1054) != c_Groups_Oplus__class_Oplus(_u1052, _u1055, _u1054)) | ( _u1053 = _u1055) )).
% 15.21/15.39 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1052) | ( _u1053 != _u1055) | ( c_Groups_Oplus__class_Oplus(_u1052, _u1053, _u1054) = c_Groups_Oplus__class_Oplus(_u1052, _u1055, _u1054)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1056) | ( c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1058) != c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1059)) | ( _u1058 = _u1059) )).
% 15.21/15.39 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1056) | ( _u1058 != _u1059) | ( c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1058) = c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1059)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1060) | ( c_Groups_Oplus__class_Oplus(_u1060, c_Groups_Oplus__class_Oplus(_u1060, _u1061, _u1062), _u1063) = c_Groups_Oplus__class_Oplus(_u1060, _u1061, c_Groups_Oplus__class_Oplus(_u1060, _u1062, _u1063))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1064) | ( c_Groups_Oone__class_Oone(_u1064) != _u1065) | ( _u1065 = c_Groups_Oone__class_Oone(_u1064)) )).
% 15.21/15.39 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1064) | ( _u1065 != c_Groups_Oone__class_Oone(_u1064)) | ( c_Groups_Oone__class_Oone(_u1064) = _u1065) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1066) | ( c_Groups_Oplus__class_Oplus(_u1066, _u1067, c_Groups_Ozero__class_Ozero(_u1066)) = _u1067) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u1068) | ( c_Groups_Oplus__class_Oplus(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) = _u1069) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ( c_Groups_Ozero__class_Ozero(_u1070) != c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) | ( _u1071 = c_Groups_Ozero__class_Ozero(_u1070)) )).
% 15.21/15.39 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ( _u1071 != c_Groups_Ozero__class_Ozero(_u1070)) | ( c_Groups_Ozero__class_Ozero(_u1070) = c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1072) | ( c_Groups_Oplus__class_Oplus(_u1072, c_Groups_Ozero__class_Ozero(_u1072), _u1073) = _u1073) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u1074) | ( c_Groups_Oplus__class_Oplus(_u1074, c_Groups_Ozero__class_Ozero(_u1074), _u1075) = _u1075) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1076) | ~c_Orderings_Oord__class_Oless__eq(_u1076, c_Groups_Oplus__class_Oplus(_u1076, _u1077, _u1078), c_Groups_Oplus__class_Oplus(_u1076, _u1077, _u1079)) | c_Orderings_Oord__class_Oless__eq(_u1076, _u1078, _u1079) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1080) | ~c_Orderings_Oord__class_Oless__eq(_u1080, c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1082), c_Groups_Oplus__class_Oplus(_u1080, _u1083, _u1082)) | c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1083) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1084) | ~c_Orderings_Oord__class_Oless__eq(_u1084, _u1085, _u1086) | ~c_Orderings_Oord__class_Oless__eq(_u1084, _u1087, _u1088) | c_Orderings_Oord__class_Oless__eq(_u1084, c_Groups_Oplus__class_Oplus(_u1084, _u1085, _u1087), c_Groups_Oplus__class_Oplus(_u1084, _u1086, _u1088)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, _u1091) | c_Orderings_Oord__class_Oless__eq(_u1089, c_Groups_Oplus__class_Oplus(_u1089, _u1092, _u1090), c_Groups_Oplus__class_Oplus(_u1089, _u1092, _u1091)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, _u1094, _u1095) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Oplus__class_Oplus(_u1093, _u1094, _u1096), c_Groups_Oplus__class_Oplus(_u1093, _u1095, _u1096)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1097, c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1099), c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1100)) | c_Orderings_Oord__class_Oless__eq(_u1097, _u1099, _u1100) )).
% 15.21/15.39 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1097, _u1099, _u1100) | c_Orderings_Oord__class_Oless__eq(_u1097, c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1099), c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1100)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1101) | ~c_Orderings_Oord__class_Oless__eq(_u1101, c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103), c_Groups_Oplus__class_Oplus(_u1101, _u1104, _u1103)) | c_Orderings_Oord__class_Oless__eq(_u1101, _u1102, _u1104) )).
% 15.21/15.39 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1101) | ~c_Orderings_Oord__class_Oless__eq(_u1101, _u1102, _u1104) | c_Orderings_Oord__class_Oless__eq(_u1101, c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103), c_Groups_Oplus__class_Oplus(_u1101, _u1104, _u1103)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1105) | ~c_Orderings_Oord__class_Oless(_u1105, c_Groups_Oplus__class_Oplus(_u1105, _u1106, _u1107), c_Groups_Oplus__class_Oplus(_u1105, _u1106, _u1108)) | c_Orderings_Oord__class_Oless(_u1105, _u1107, _u1108) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1109) | ~c_Orderings_Oord__class_Oless(_u1109, c_Groups_Oplus__class_Oplus(_u1109, _u1110, _u1111), c_Groups_Oplus__class_Oplus(_u1109, _u1112, _u1111)) | c_Orderings_Oord__class_Oless(_u1109, _u1110, _u1112) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, _u1115) | ~c_Orderings_Oord__class_Oless(_u1113, _u1116, _u1117) | c_Orderings_Oord__class_Oless(_u1113, c_Groups_Oplus__class_Oplus(_u1113, _u1114, _u1116), c_Groups_Oplus__class_Oplus(_u1113, _u1115, _u1117)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1118) | ~c_Orderings_Oord__class_Oless(_u1118, _u1119, _u1120) | c_Orderings_Oord__class_Oless(_u1118, c_Groups_Oplus__class_Oplus(_u1118, _u1121, _u1119), c_Groups_Oplus__class_Oplus(_u1118, _u1121, _u1120)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1124) | c_Orderings_Oord__class_Oless(_u1122, c_Groups_Oplus__class_Oplus(_u1122, _u1123, _u1125), c_Groups_Oplus__class_Oplus(_u1122, _u1124, _u1125)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1128), c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1129)) | c_Orderings_Oord__class_Oless(_u1126, _u1128, _u1129) )).
% 15.21/15.39 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, _u1128, _u1129) | c_Orderings_Oord__class_Oless(_u1126, c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1128), c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1129)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1130) | ~c_Orderings_Oord__class_Oless(_u1130, c_Groups_Oplus__class_Oplus(_u1130, _u1131, _u1132), c_Groups_Oplus__class_Oplus(_u1130, _u1133, _u1132)) | c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) )).
% 15.21/15.39 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1130) | ~c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) | c_Orderings_Oord__class_Oless(_u1130, c_Groups_Oplus__class_Oplus(_u1130, _u1131, _u1132), c_Groups_Oplus__class_Oplus(_u1130, _u1133, _u1132)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1135), c_Groups_Oone__class_Oone(_u1134)) = _u1135) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1136) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1136), _u1137), c_Groups_Oone__class_Oone(_u1136)) = _u1137) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1138) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1138), c_Groups_Oone__class_Oone(_u1138)), _u1139) = _u1139) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1140) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1140), c_Groups_Oone__class_Oone(_u1140)), _u1141) = _u1141) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1145), _u1147) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1145), _u1149)) | ( _u1145 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1147 = _u1149) )).
% 15.21/15.39 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1148) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1150)) | ( _u1146 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1148) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1150)) | ( _u1148 != _u1150) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_left__add__mult__distrib-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1151), _u1152), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1153), _u1152), _u1154)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1151, _u1153)), _u1152), _u1154)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1155) | ~c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1156)) | c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), _u1156) )).
% 15.21/15.39 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1155) | ~c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), _u1156) | c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1156)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1157) | ~c_Orderings_Oord__class_Oless__eq(_u1157, c_Groups_Oplus__class_Oplus(_u1157, _u1158, _u1158), c_Groups_Ozero__class_Ozero(_u1157)) | c_Orderings_Oord__class_Oless__eq(_u1157, _u1158, c_Groups_Ozero__class_Ozero(_u1157)) )).
% 15.21/15.39 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1157) | ~c_Orderings_Oord__class_Oless__eq(_u1157, _u1158, c_Groups_Ozero__class_Ozero(_u1157)) | c_Orderings_Oord__class_Oless__eq(_u1157, c_Groups_Oplus__class_Oplus(_u1157, _u1158, _u1158), c_Groups_Ozero__class_Ozero(_u1157)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1159) | ~c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), _u1160) | ~c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), _u1161) | c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), c_Groups_Oplus__class_Oplus(_u1159, _u1160, _u1161)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1163 = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.39 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1164 = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.39 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( _u1163 != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1164 != c_Groups_Ozero__class_Ozero(_u1162)) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Ozero__class_Ozero(_u1165), _u1166) | ~c_Orderings_Oord__class_Oless__eq(_u1165, _u1167, _u1168) | c_Orderings_Oord__class_Oless__eq(_u1165, _u1167, c_Groups_Oplus__class_Oplus(_u1165, _u1166, _u1168)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1169) | ~c_Orderings_Oord__class_Oless__eq(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1170) | ~c_Orderings_Oord__class_Oless__eq(_u1169, _u1171, _u1172) | c_Orderings_Oord__class_Oless__eq(_u1169, _u1171, c_Groups_Oplus__class_Oplus(_u1169, _u1172, _u1170)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1173) | ~c_Orderings_Oord__class_Oless__eq(_u1173, _u1174, c_Groups_Ozero__class_Ozero(_u1173)) | ~c_Orderings_Oord__class_Oless__eq(_u1173, _u1175, c_Groups_Ozero__class_Ozero(_u1173)) | c_Orderings_Oord__class_Oless__eq(_u1173, c_Groups_Oplus__class_Oplus(_u1173, _u1174, _u1175), c_Groups_Ozero__class_Ozero(_u1173)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1176) | ~c_Orderings_Oord__class_Oless(_u1176, _u1177, c_Groups_Ozero__class_Ozero(_u1176)) | ~c_Orderings_Oord__class_Oless(_u1176, _u1178, c_Groups_Ozero__class_Ozero(_u1176)) | c_Orderings_Oord__class_Oless(_u1176, c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1178), c_Groups_Ozero__class_Ozero(_u1176)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1179) | ~c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), _u1180) | ~c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), _u1181) | c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), c_Groups_Oplus__class_Oplus(_u1179, _u1180, _u1181)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1182) | ~c_Orderings_Oord__class_Oless(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1183, _u1183), c_Groups_Ozero__class_Ozero(_u1182)) | c_Orderings_Oord__class_Oless(_u1182, _u1183, c_Groups_Ozero__class_Ozero(_u1182)) )).
% 15.21/15.39 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1182) | ~c_Orderings_Oord__class_Oless(_u1182, _u1183, c_Groups_Ozero__class_Ozero(_u1182)) | c_Orderings_Oord__class_Oless(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1183, _u1183), c_Groups_Ozero__class_Ozero(_u1182)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1184) | ~c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1185)) | c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), _u1185) )).
% 15.21/15.39 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1184) | ~c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), _u1185) | c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1185)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1186) | ~c_Orderings_Oord__class_Oless__eq(_u1186, _u1187, _u1188) | ~c_Orderings_Oord__class_Oless(_u1186, _u1189, _u1190) | c_Orderings_Oord__class_Oless(_u1186, c_Groups_Oplus__class_Oplus(_u1186, _u1187, _u1189), c_Groups_Oplus__class_Oplus(_u1186, _u1188, _u1190)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1191) | ~c_Orderings_Oord__class_Oless(_u1191, _u1192, _u1193) | ~c_Orderings_Oord__class_Oless__eq(_u1191, _u1194, _u1195) | c_Orderings_Oord__class_Oless(_u1191, c_Groups_Oplus__class_Oplus(_u1191, _u1192, _u1194), c_Groups_Oplus__class_Oplus(_u1191, _u1193, _u1195)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1197 = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.39 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1198 = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.39 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( _u1197 != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1198 != c_Groups_Ozero__class_Ozero(_u1196)) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1199) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1200) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1201)) | ( _u1200 = _u1201) )).
% 15.21/15.39 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1199) | ( _u1200 != _u1201) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1200) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1201)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1202) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1204)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1203, _u1204) )).
% 15.21/15.39 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1202) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1203, _u1204) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1204)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1205) | ~c_Orderings_Oord__class_Oless__eq(_u1205, _u1206, c_Groups_Ozero__class_Ozero(_u1205)) | ~c_Orderings_Oord__class_Oless(_u1205, _u1207, c_Groups_Ozero__class_Ozero(_u1205)) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1207), c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1208) | ~c_Orderings_Oord__class_Oless(_u1208, _u1209, c_Groups_Ozero__class_Ozero(_u1208)) | ~c_Orderings_Oord__class_Oless__eq(_u1208, _u1210, c_Groups_Ozero__class_Ozero(_u1208)) | c_Orderings_Oord__class_Oless(_u1208, c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210), c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1211) | ~c_Orderings_Oord__class_Oless__eq(_u1211, c_Groups_Ozero__class_Ozero(_u1211), _u1212) | ~c_Orderings_Oord__class_Oless(_u1211, _u1213, _u1214) | c_Orderings_Oord__class_Oless(_u1211, _u1213, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1214)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, c_Groups_Ozero__class_Ozero(_u1215), _u1216) | ~c_Orderings_Oord__class_Oless__eq(_u1215, _u1217, _u1218) | c_Orderings_Oord__class_Oless(_u1215, _u1217, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem6), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_wm1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_wm1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_tw ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_tw-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_reduce__poly__simple ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_reduce__poly__simple-1, axiom, ( ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u1222 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), _u1221), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem7(_u1222, _u1221)), _u1222)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__power__nat__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__power__nat__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1225), _u1227)) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1225) )).
% 15.21/15.39 cnf(fact_zero__less__power__nat__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1226), _u1228)) | ( _u1228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_zero__less__power__nat__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1226), _u1228)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1226) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1229) | ( c_Groups_Ominus__class_Ominus(_u1229, c_Groups_Ozero__class_Ozero(_u1229), _u1230) = c_Groups_Ouminus__class_Ouminus(_u1229, _u1230)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u1231) | ( c_Groups_Ominus__class_Ominus(_u1231, _u1232, _u1233) = c_Groups_Oplus__class_Oplus(_u1231, _u1232, c_Groups_Ouminus__class_Ouminus(_u1231, _u1233))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1234) | ( c_Groups_Ominus__class_Ominus(_u1234, _u1235, _u1236) = c_Groups_Oplus__class_Oplus(_u1234, _u1235, c_Groups_Ouminus__class_Ouminus(_u1234, _u1236))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1237) | ( c_Groups_Ominus__class_Ominus(_u1237, _u1238, c_Groups_Ouminus__class_Ouminus(_u1237, _u1239)) = c_Groups_Oplus__class_Oplus(_u1237, _u1238, _u1239)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1240) | ( c_Groups_Ouminus__class_Ouminus(_u1240, c_Groups_Ouminus__class_Ouminus(_u1240, _u1241)) = _u1241) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1242) | ( c_Groups_Ouminus__class_Ouminus(_u1242, c_Groups_Ominus__class_Ominus(_u1242, _u1243, _u1244)) = c_Groups_Ominus__class_Ominus(_u1242, _u1244, _u1243)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1245) | ( _u1246 != c_Groups_Ouminus__class_Ouminus(_u1245, _u1247)) | ( _u1247 = c_Groups_Ouminus__class_Ouminus(_u1245, _u1246)) )).
% 15.21/15.39 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1245) | ( _u1247 != c_Groups_Ouminus__class_Ouminus(_u1245, _u1246)) | ( _u1246 = c_Groups_Ouminus__class_Ouminus(_u1245, _u1247)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1248) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1249) != _u1250) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1250) = _u1249) )).
% 15.21/15.39 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1248) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1250) != _u1249) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1249) = _u1250) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1251) | ( c_Groups_Ouminus__class_Ouminus(_u1251, _u1252) != c_Groups_Ouminus__class_Ouminus(_u1251, _u1253)) | ( _u1252 = _u1253) )).
% 15.21/15.39 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1251) | ( _u1252 != _u1253) | ( c_Groups_Ouminus__class_Ouminus(_u1251, _u1252) = c_Groups_Ouminus__class_Ouminus(_u1251, _u1253)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1254) | ( c_Groups_Ominus__class_Ominus(_u1254, _u1255, _u1256) != c_Groups_Ominus__class_Ominus(_u1254, _u1257, _u1258)) | ( _u1255 != _u1256) | ( _u1257 = _u1258) )).
% 15.21/15.39 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1254) | ( c_Groups_Ominus__class_Ominus(_u1254, _u1255, _u1256) != c_Groups_Ominus__class_Ominus(_u1254, _u1257, _u1258)) | ( _u1257 != _u1258) | ( _u1255 = _u1256) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__triangle__ineq2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__triangle__ineq2-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1259) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1259, _u1260), c_RealVector_Onorm__class_Onorm(_u1259, _u1261)), c_RealVector_Onorm__class_Onorm(_u1259, c_Groups_Ominus__class_Ominus(_u1259, _u1260, _u1261))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__minus-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1262) | ( c_RealVector_Oof__real(_u1262, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1263)) = c_Groups_Ouminus__class_Ouminus(_u1262, c_RealVector_Oof__real(_u1262, _u1263))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real_Ominus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real_Ominus-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1264) | ~class_RealVector_Oreal__normed__vector(_u1264) | ( c_RealVector_Oof__real(_u1264, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1265)) = c_Groups_Ouminus__class_Ouminus(_u1264, c_RealVector_Oof__real(_u1264, _u1265))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__diff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1266) | ( c_RealVector_Oof__real(_u1266, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1267, _u1268)) = c_Groups_Ominus__class_Ominus(_u1266, c_RealVector_Oof__real(_u1266, _u1267), c_RealVector_Oof__real(_u1266, _u1268))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real_Odiff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real_Odiff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1269) | ~class_RealVector_Oreal__normed__vector(_u1269) | ( c_RealVector_Oof__real(_u1269, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1270, _u1271)) = c_Groups_Ominus__class_Ominus(_u1269, c_RealVector_Oof__real(_u1269, _u1270), c_RealVector_Oof__real(_u1269, _u1271))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__eq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__eq__iff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1272) | ( c_RealVector_Oof__real(_u1272, _u1273) != c_RealVector_Oof__real(_u1272, _u1274)) | ( _u1273 = _u1274) )).
% 15.21/15.39 cnf(fact_of__real__eq__iff-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1272) | ( _u1273 != _u1274) | ( c_RealVector_Oof__real(_u1272, _u1273) = c_RealVector_Oof__real(_u1272, _u1274)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1275) | ( c_Groups_Ominus__class_Ominus(_u1275, _u1276, _u1277) = c_Groups_Oplus__class_Oplus(_u1275, _u1276, c_Groups_Ouminus__class_Ouminus(_u1275, _u1277))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u1278) | ( c_Groups_Ominus__class_Ominus(_u1278, _u1279, c_Groups_Ozero__class_Ozero(_u1278)) = _u1279) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u1280) | ( c_Groups_Ominus__class_Ominus(_u1280, _u1281, _u1281) = c_Groups_Ozero__class_Ozero(_u1280)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u1282) | ( _u1283 != _u1284) | ( c_Groups_Ominus__class_Ominus(_u1282, _u1283, _u1284) = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 15.21/15.39 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u1282) | ( c_Groups_Ominus__class_Ominus(_u1282, _u1283, _u1284) != c_Groups_Ozero__class_Ozero(_u1282)) | ( _u1283 = _u1284) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u1285) | ( c_Groups_Ominus__class_Ominus(_u1285, _u1286, _u1287) != c_Groups_Ozero__class_Ozero(_u1285)) | ( _u1286 = _u1287) )).
% 15.21/15.39 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u1285) | ( _u1286 != _u1287) | ( c_Groups_Ominus__class_Ominus(_u1285, _u1286, _u1287) = c_Groups_Ozero__class_Ozero(_u1285)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1288) | ( c_Groups_Ominus__class_Ominus(_u1288, _u1289, _u1290) != c_Groups_Ominus__class_Ominus(_u1288, _u1291, _u1292)) | ~c_Orderings_Oord__class_Oless__eq(_u1288, _u1289, _u1290) | c_Orderings_Oord__class_Oless__eq(_u1288, _u1291, _u1292) )).
% 15.21/15.39 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1288) | ( c_Groups_Ominus__class_Ominus(_u1288, _u1289, _u1290) != c_Groups_Ominus__class_Ominus(_u1288, _u1291, _u1292)) | ~c_Orderings_Oord__class_Oless__eq(_u1288, _u1291, _u1292) | c_Orderings_Oord__class_Oless__eq(_u1288, _u1289, _u1290) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u1293) | ( c_Groups_Ouminus__class_Ouminus(_u1293, c_Groups_Ozero__class_Ozero(_u1293)) = c_Groups_Ozero__class_Ozero(_u1293)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1294) | ( c_Groups_Ozero__class_Ozero(_u1294) != c_Groups_Ouminus__class_Ouminus(_u1294, _u1295)) | ( c_Groups_Ozero__class_Ozero(_u1294) = _u1295) )).
% 15.21/15.39 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1294) | ( c_Groups_Ozero__class_Ozero(_u1294) != _u1295) | ( c_Groups_Ozero__class_Ozero(_u1294) = c_Groups_Ouminus__class_Ouminus(_u1294, _u1295)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1296) | ( _u1297 != c_Groups_Ouminus__class_Ouminus(_u1296, _u1297)) | ( _u1297 = c_Groups_Ozero__class_Ozero(_u1296)) )).
% 15.21/15.39 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1296) | ( _u1297 != c_Groups_Ozero__class_Ozero(_u1296)) | ( _u1297 = c_Groups_Ouminus__class_Ouminus(_u1296, _u1297)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1298) | ( c_Groups_Ouminus__class_Ouminus(_u1298, _u1299) != c_Groups_Ozero__class_Ozero(_u1298)) | ( _u1299 = c_Groups_Ozero__class_Ozero(_u1298)) )).
% 15.21/15.39 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1298) | ( _u1299 != c_Groups_Ozero__class_Ozero(_u1298)) | ( c_Groups_Ouminus__class_Ouminus(_u1298, _u1299) = c_Groups_Ozero__class_Ozero(_u1298)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1300) | ( c_Groups_Ouminus__class_Ouminus(_u1300, _u1301) != _u1301) | ( _u1301 = c_Groups_Ozero__class_Ozero(_u1300)) )).
% 15.21/15.39 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1300) | ( _u1301 != c_Groups_Ozero__class_Ozero(_u1300)) | ( c_Groups_Ouminus__class_Ouminus(_u1300, _u1301) = _u1301) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1302) | ( c_Groups_Ominus__class_Ominus(_u1302, _u1303, _u1304) != c_Groups_Ominus__class_Ominus(_u1302, _u1305, _u1306)) | ~c_Orderings_Oord__class_Oless(_u1302, _u1303, _u1304) | c_Orderings_Oord__class_Oless(_u1302, _u1305, _u1306) )).
% 15.21/15.39 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1302) | ( c_Groups_Ominus__class_Ominus(_u1302, _u1303, _u1304) != c_Groups_Ominus__class_Ominus(_u1302, _u1305, _u1306)) | ~c_Orderings_Oord__class_Oless(_u1302, _u1305, _u1306) | c_Orderings_Oord__class_Oless(_u1302, _u1303, _u1304) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1307) | ~c_Orderings_Oord__class_Oless__eq(_u1307, _u1308, c_Groups_Ouminus__class_Ouminus(_u1307, _u1309)) | c_Orderings_Oord__class_Oless__eq(_u1307, _u1309, c_Groups_Ouminus__class_Ouminus(_u1307, _u1308)) )).
% 15.21/15.39 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1307) | ~c_Orderings_Oord__class_Oless__eq(_u1307, _u1309, c_Groups_Ouminus__class_Ouminus(_u1307, _u1308)) | c_Orderings_Oord__class_Oless__eq(_u1307, _u1308, c_Groups_Ouminus__class_Ouminus(_u1307, _u1309)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1310) | ~c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1311), _u1312) | c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1312), _u1311) )).
% 15.21/15.39 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1310) | ~c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1312), _u1311) | c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1311), _u1312) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1313) | ~c_Orderings_Oord__class_Oless__eq(_u1313, c_Groups_Ouminus__class_Ouminus(_u1313, _u1314), c_Groups_Ouminus__class_Ouminus(_u1313, _u1315)) | c_Orderings_Oord__class_Oless__eq(_u1313, _u1315, _u1314) )).
% 15.21/15.39 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1313) | ~c_Orderings_Oord__class_Oless__eq(_u1313, _u1315, _u1314) | c_Orderings_Oord__class_Oless__eq(_u1313, c_Groups_Ouminus__class_Ouminus(_u1313, _u1314), c_Groups_Ouminus__class_Ouminus(_u1313, _u1315)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1316) | ~c_Orderings_Oord__class_Oless__eq(_u1316, _u1317, _u1318) | c_Orderings_Oord__class_Oless__eq(_u1316, c_Groups_Ouminus__class_Ouminus(_u1316, _u1318), c_Groups_Ouminus__class_Ouminus(_u1316, _u1317)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1319) | ~c_Orderings_Oord__class_Oless(_u1319, c_Groups_Ouminus__class_Ouminus(_u1319, _u1320), c_Groups_Ouminus__class_Ouminus(_u1319, _u1321)) | c_Orderings_Oord__class_Oless(_u1319, _u1321, _u1320) )).
% 15.21/15.39 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1319) | ~c_Orderings_Oord__class_Oless(_u1319, _u1321, _u1320) | c_Orderings_Oord__class_Oless(_u1319, c_Groups_Ouminus__class_Ouminus(_u1319, _u1320), c_Groups_Ouminus__class_Ouminus(_u1319, _u1321)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1322) | ~c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1323), _u1324) | c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1324), _u1323) )).
% 15.21/15.39 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1322) | ~c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1324), _u1323) | c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1323), _u1324) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, _u1326, c_Groups_Ouminus__class_Ouminus(_u1325, _u1327)) | c_Orderings_Oord__class_Oless(_u1325, _u1327, c_Groups_Ouminus__class_Ouminus(_u1325, _u1326)) )).
% 15.21/15.39 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, _u1327, c_Groups_Ouminus__class_Ouminus(_u1325, _u1326)) | c_Orderings_Oord__class_Oless(_u1325, _u1326, c_Groups_Ouminus__class_Ouminus(_u1325, _u1327)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Odiff__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Odiff__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), c_Groups_Ominus__class_Ominus(_u1328, _u1330, _u1331)) = c_Groups_Ominus__class_Ominus(_u1328, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), _u1330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), _u1331))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right_Odiff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1332) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), c_Groups_Ominus__class_Ominus(_u1332, _u1334, _u1335)) = c_Groups_Ominus__class_Ominus(_u1332, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), _u1334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), _u1335))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Odiff__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Odiff__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1336) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), c_Groups_Ominus__class_Ominus(_u1336, _u1337, _u1338)), _u1339) = c_Groups_Ominus__class_Ominus(_u1336, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), _u1337), _u1339), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), _u1338), _u1339))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left_Odiff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1340) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), c_Groups_Ominus__class_Ominus(_u1340, _u1341, _u1342)), _u1343) = c_Groups_Ominus__class_Ominus(_u1340, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), _u1341), _u1343), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), _u1342), _u1343))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1344) | ( c_Groups_Ouminus__class_Ouminus(_u1344, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1344), _u1345), _u1346)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1344), _u1345), c_Groups_Ouminus__class_Ouminus(_u1344, _u1346))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1347) | ( c_Groups_Ouminus__class_Ouminus(_u1347, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1347), _u1348), _u1349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1347), c_Groups_Ouminus__class_Ouminus(_u1347, _u1348)), _u1349)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1350), c_Groups_Ouminus__class_Ouminus(_u1350, _u1351)), _u1352) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1350), _u1351), c_Groups_Ouminus__class_Ouminus(_u1350, _u1352))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1353), c_Groups_Ouminus__class_Ouminus(_u1353, _u1354)), c_Groups_Ouminus__class_Ouminus(_u1353, _u1355)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1353), _u1354), _u1355)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 = _u1358) | ( _u1357 = c_Groups_Ouminus__class_Ouminus(_u1356, _u1358)) )).
% 15.21/15.39 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 != _u1358) )).
% 15.21/15.39 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 != c_Groups_Ouminus__class_Ouminus(_u1356, _u1358)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Ominus__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Ominus__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1359) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1359), _u1360), c_Groups_Ouminus__class_Ouminus(_u1359, _u1361)) = c_Groups_Ouminus__class_Ouminus(_u1359, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1359), _u1360), _u1361))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__right_Ominus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__right_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1362), _u1363), c_Groups_Ouminus__class_Ouminus(_u1362, _u1364)) = c_Groups_Ouminus__class_Ouminus(_u1362, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1362), _u1363), _u1364))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Ominus__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Ominus__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1365) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1365), c_Groups_Ouminus__class_Ouminus(_u1365, _u1366)), _u1367) = c_Groups_Ouminus__class_Ouminus(_u1365, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1365), _u1366), _u1367))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__left_Ominus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__left_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1368) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1368), c_Groups_Ouminus__class_Ouminus(_u1368, _u1369)), _u1370) = c_Groups_Ouminus__class_Ouminus(_u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1368), _u1369), _u1370))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1371) | ( c_Groups_Ominus__class_Ominus(_u1371, c_Groups_Oplus__class_Oplus(_u1371, _u1372, _u1373), _u1373) = _u1372) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1374) | ( c_Groups_Oplus__class_Oplus(_u1374, c_Groups_Ominus__class_Ominus(_u1374, _u1375, _u1376), _u1376) = _u1375) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1377) | ( c_Groups_Oplus__class_Oplus(_u1377, c_Groups_Ouminus__class_Ouminus(_u1377, _u1378), c_Groups_Oplus__class_Oplus(_u1377, _u1378, _u1379)) = _u1379) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1380) | ( c_Groups_Oplus__class_Oplus(_u1380, _u1381, c_Groups_Oplus__class_Oplus(_u1380, c_Groups_Ouminus__class_Ouminus(_u1380, _u1381), _u1382)) = _u1382) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1383) | ( c_Groups_Ouminus__class_Ouminus(_u1383, c_Groups_Oplus__class_Oplus(_u1383, _u1384, _u1385)) = c_Groups_Oplus__class_Oplus(_u1383, c_Groups_Ouminus__class_Ouminus(_u1383, _u1385), c_Groups_Ouminus__class_Ouminus(_u1383, _u1384))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u1386) | ( c_Groups_Ouminus__class_Ouminus(_u1386, c_Groups_Oplus__class_Oplus(_u1386, _u1387, _u1388)) = c_Groups_Oplus__class_Oplus(_u1386, c_Groups_Ouminus__class_Ouminus(_u1386, _u1387), c_Groups_Ouminus__class_Ouminus(_u1386, _u1388))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__minus__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__minus__commute-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1389) | ( c_RealVector_Onorm__class_Onorm(_u1389, c_Groups_Ominus__class_Ominus(_u1389, _u1390, _u1391)) = c_RealVector_Onorm__class_Onorm(_u1389, c_Groups_Ominus__class_Ominus(_u1389, _u1391, _u1390))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__minus__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__minus__cancel-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1392) | ( c_RealVector_Onorm__class_Onorm(_u1392, c_Groups_Ouminus__class_Ouminus(_u1392, _u1393)) = c_RealVector_Onorm__class_Onorm(_u1392, _u1393)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__minus__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u1394) | ( c_Rings_Oinverse__class_Oinverse(_u1394, c_Groups_Ouminus__class_Ouminus(_u1394, _u1395)) = c_Groups_Ouminus__class_Ouminus(_u1394, c_Rings_Oinverse__class_Oinverse(_u1394, _u1395))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ~c_Orderings_Oord__class_Oless__eq(_u1396, _u1397, _u1398) | c_Orderings_Oord__class_Oless__eq(_u1396, c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398), c_Groups_Ozero__class_Ozero(_u1396)) )).
% 15.21/15.39 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ~c_Orderings_Oord__class_Oless__eq(_u1396, c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398), c_Groups_Ozero__class_Ozero(_u1396)) | c_Orderings_Oord__class_Oless__eq(_u1396, _u1397, _u1398) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1399) | ~c_Orderings_Oord__class_Oless(_u1399, _u1400, _u1401) | c_Orderings_Oord__class_Oless(_u1399, c_Groups_Ominus__class_Ominus(_u1399, _u1400, _u1401), c_Groups_Ozero__class_Ozero(_u1399)) )).
% 15.21/15.39 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1399) | ~c_Orderings_Oord__class_Oless(_u1399, c_Groups_Ominus__class_Ominus(_u1399, _u1400, _u1401), c_Groups_Ozero__class_Ozero(_u1399)) | c_Orderings_Oord__class_Oless(_u1399, _u1400, _u1401) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1402) | ~c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ouminus__class_Ouminus(_u1402, _u1403), _u1403) | c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ozero__class_Ozero(_u1402), _u1403) )).
% 15.21/15.39 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1402) | ~c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ozero__class_Ozero(_u1402), _u1403) | c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ouminus__class_Ouminus(_u1402, _u1403), _u1403) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1404) | ~c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ouminus__class_Ouminus(_u1404, _u1405), c_Groups_Ozero__class_Ozero(_u1404)) | c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ozero__class_Ozero(_u1404), _u1405) )).
% 15.21/15.39 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1404) | ~c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ozero__class_Ozero(_u1404), _u1405) | c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ouminus__class_Ouminus(_u1404, _u1405), c_Groups_Ozero__class_Ozero(_u1404)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1406) | ~c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ouminus__class_Ouminus(_u1406, _u1407)) | c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ozero__class_Ozero(_u1406)) )).
% 15.21/15.39 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1406) | ~c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ozero__class_Ozero(_u1406)) | c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ouminus__class_Ouminus(_u1406, _u1407)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1408) | ~c_Orderings_Oord__class_Oless__eq(_u1408, c_Groups_Ozero__class_Ozero(_u1408), c_Groups_Ouminus__class_Ouminus(_u1408, _u1409)) | c_Orderings_Oord__class_Oless__eq(_u1408, _u1409, c_Groups_Ozero__class_Ozero(_u1408)) )).
% 15.21/15.39 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1408) | ~c_Orderings_Oord__class_Oless__eq(_u1408, _u1409, c_Groups_Ozero__class_Ozero(_u1408)) | c_Orderings_Oord__class_Oless__eq(_u1408, c_Groups_Ozero__class_Ozero(_u1408), c_Groups_Ouminus__class_Ouminus(_u1408, _u1409)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1410) | ~c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ouminus__class_Ouminus(_u1410, _u1411)) | c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ozero__class_Ozero(_u1410)) )).
% 15.21/15.39 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1410) | ~c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ozero__class_Ozero(_u1410)) | c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ouminus__class_Ouminus(_u1410, _u1411)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1413) | c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ozero__class_Ozero(_u1412), _u1413) )).
% 15.21/15.39 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ozero__class_Ozero(_u1412), _u1413) | c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1413) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1414) | ~c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ouminus__class_Ouminus(_u1414, _u1415), c_Groups_Ozero__class_Ozero(_u1414)) | c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ozero__class_Ozero(_u1414), _u1415) )).
% 15.21/15.39 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1414) | ~c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ozero__class_Ozero(_u1414), _u1415) | c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ouminus__class_Ouminus(_u1414, _u1415), c_Groups_Ozero__class_Ozero(_u1414)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1416) | ~c_Orderings_Oord__class_Oless(_u1416, c_Groups_Ozero__class_Ozero(_u1416), c_Groups_Ouminus__class_Ouminus(_u1416, _u1417)) | c_Orderings_Oord__class_Oless(_u1416, _u1417, c_Groups_Ozero__class_Ozero(_u1416)) )).
% 15.21/15.39 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1416) | ~c_Orderings_Oord__class_Oless(_u1416, _u1417, c_Groups_Ozero__class_Ozero(_u1416)) | c_Orderings_Oord__class_Oless(_u1416, c_Groups_Ozero__class_Ozero(_u1416), c_Groups_Ouminus__class_Ouminus(_u1416, _u1417)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__eq__0__iff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1418) | ( c_RealVector_Oof__real(_u1418, _u1419) != c_Groups_Ozero__class_Ozero(_u1418)) | ( _u1419 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact_of__real__eq__0__iff-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1418) | ( _u1419 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1418, _u1419) = c_Groups_Ozero__class_Ozero(_u1418)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real_Ozero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real_Ozero-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1420) | ~class_RealVector_Oreal__normed__vector(_u1420) | ( c_RealVector_Oof__real(_u1420, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1420)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__0-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1421) | ( c_RealVector_Oof__real(_u1421, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1421)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__eq__0__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1422) | ( c_Groups_Oplus__class_Oplus(_u1422, _u1423, _u1424) != c_Groups_Ozero__class_Ozero(_u1422)) | ( _u1424 = c_Groups_Ouminus__class_Ouminus(_u1422, _u1423)) )).
% 15.21/15.39 cnf(fact_add__eq__0__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1422) | ( _u1424 != c_Groups_Ouminus__class_Ouminus(_u1422, _u1423)) | ( c_Groups_Oplus__class_Oplus(_u1422, _u1423, _u1424) = c_Groups_Ozero__class_Ozero(_u1422)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u1425) | ( c_Groups_Oplus__class_Oplus(_u1425, _u1426, _u1427) != c_Groups_Ozero__class_Ozero(_u1425)) | ( c_Groups_Ouminus__class_Ouminus(_u1425, _u1426) = _u1427) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1428) | ( c_Groups_Oplus__class_Oplus(_u1428, c_Groups_Ouminus__class_Ouminus(_u1428, _u1429), _u1429) = c_Groups_Ozero__class_Ozero(_u1428)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1430) | ( c_Groups_Oplus__class_Oplus(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1431) = c_Groups_Ozero__class_Ozero(_u1430)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1432) | ( _u1433 != c_Groups_Ouminus__class_Ouminus(_u1432, _u1434)) | ( c_Groups_Oplus__class_Oplus(_u1432, _u1433, _u1434) = c_Groups_Ozero__class_Ozero(_u1432)) )).
% 15.21/15.39 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u1432) | ( c_Groups_Oplus__class_Oplus(_u1432, _u1433, _u1434) != c_Groups_Ozero__class_Ozero(_u1432)) | ( _u1433 = c_Groups_Ouminus__class_Ouminus(_u1432, _u1434)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1435) | ( c_Groups_Oplus__class_Oplus(_u1435, _u1436, c_Groups_Ouminus__class_Ouminus(_u1435, _u1436)) = c_Groups_Ozero__class_Ozero(_u1435)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__diff__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__diff__mult-1, axiom, ( ~class_Rings_Oring(_u1437) | ( c_Groups_Ominus__class_Ominus(_u1437, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), _u1439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1440), _u1441)) = c_Groups_Oplus__class_Oplus(_u1437, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), c_Groups_Ominus__class_Ominus(_u1437, _u1439, _u1441)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), c_Groups_Ominus__class_Ominus(_u1437, _u1438, _u1440)), _u1441))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u1442) | ( c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), _u1444), _u1445) != c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1446), _u1444), _u1447)) | ( _u1445 = c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), c_Groups_Ominus__class_Ominus(_u1442, _u1446, _u1443)), _u1444), _u1447)) )).
% 15.21/15.39 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u1442) | ( _u1445 != c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), c_Groups_Ominus__class_Ominus(_u1442, _u1446, _u1443)), _u1444), _u1447)) | ( c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), _u1444), _u1445) = c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1446), _u1444), _u1447)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1450), _u1451) != c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1452), _u1450), _u1453)) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), c_Groups_Ominus__class_Ominus(_u1448, _u1449, _u1452)), _u1450), _u1451) = _u1453) )).
% 15.21/15.39 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), c_Groups_Ominus__class_Ominus(_u1448, _u1449, _u1452)), _u1450), _u1451) != _u1453) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1450), _u1451) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1452), _u1450), _u1453)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult_Oprod__diff__prod ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult_Oprod__diff__prod-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1454) | ( c_Groups_Ominus__class_Ominus(_u1454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1455), _u1456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1457), _u1458)) = c_Groups_Oplus__class_Oplus(_u1454, c_Groups_Oplus__class_Oplus(_u1454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), c_Groups_Ominus__class_Ominus(_u1454, _u1455, _u1457)), c_Groups_Ominus__class_Ominus(_u1454, _u1456, _u1458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), c_Groups_Ominus__class_Ominus(_u1454, _u1455, _u1457)), _u1458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1457), c_Groups_Ominus__class_Ominus(_u1454, _u1456, _u1458)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) != c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 = c_Groups_Ouminus__class_Ouminus(_u1459, c_Groups_Oone__class_Oone(_u1459))) )).
% 15.21/15.39 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 != c_Groups_Oone__class_Oone(_u1459)) )).
% 15.21/15.39 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 != c_Groups_Ouminus__class_Ouminus(_u1459, c_Groups_Oone__class_Oone(_u1459))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1461) | ( c_Groups_Ouminus__class_Ouminus(_u1461, _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), c_Groups_Ouminus__class_Ouminus(_u1461, c_Groups_Oone__class_Oone(_u1461))), _u1462)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__mult-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1463) | ( c_RealVector_Oof__real(_u1463, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1464), _u1465)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1463), c_RealVector_Oof__real(_u1463, _u1464)), c_RealVector_Oof__real(_u1463, _u1465))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__add-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1466) | ( c_RealVector_Oof__real(_u1466, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1467, _u1468)) = c_Groups_Oplus__class_Oplus(_u1466, c_RealVector_Oof__real(_u1466, _u1467), c_RealVector_Oof__real(_u1466, _u1468))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real_Oadd ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real_Oadd-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1469) | ~class_RealVector_Oreal__normed__vector(_u1469) | ( c_RealVector_Oof__real(_u1469, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1470, _u1471)) = c_Groups_Oplus__class_Oplus(_u1469, c_RealVector_Oof__real(_u1469, _u1470), c_RealVector_Oof__real(_u1469, _u1471))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__1-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1472) | ( c_RealVector_Oof__real(_u1472, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(_u1472)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__inverse__minus__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u1473) | ( _u1474 = c_Groups_Ozero__class_Ozero(_u1473)) | ( c_Rings_Oinverse__class_Oinverse(_u1473, c_Groups_Ouminus__class_Ouminus(_u1473, _u1474)) = c_Groups_Ouminus__class_Ouminus(_u1473, c_Rings_Oinverse__class_Oinverse(_u1473, _u1474))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__power-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1475) | ( c_RealVector_Oof__real(_u1475, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1476), _u1477)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1475), c_RealVector_Oof__real(_u1475, _u1476)), _u1477)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_of__real__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_of__real__inverse-1, axiom, ( ~class_RealVector_Oreal__div__algebra(_u1478) | ~class_Rings_Odivision__ring__inverse__zero(_u1478) | ( c_RealVector_Oof__real(_u1478, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1479)) = c_Rings_Oinverse__class_Oinverse(_u1478, c_RealVector_Oof__real(_u1478, _u1479))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__of__real__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__of__real__power-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, _u1480)), _u1481) = c_RealVector_Oof__real(tc_Complex_Ocomplex, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1480), _u1481))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1484), _u1485), c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1486), _u1484), _u1487)) | c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), c_Groups_Ominus__class_Ominus(_u1482, _u1486, _u1483)), _u1484), _u1487)) )).
% 15.21/15.39 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), c_Groups_Ominus__class_Ominus(_u1482, _u1486, _u1483)), _u1484), _u1487)) | c_Orderings_Oord__class_Oless__eq(_u1482, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1484), _u1485), c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1486), _u1484), _u1487)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1488) | ~c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490), _u1491), c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1492), _u1490), _u1493)) | c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), c_Groups_Ominus__class_Ominus(_u1488, _u1489, _u1492)), _u1490), _u1491), _u1493) )).
% 15.21/15.39 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1488) | ~c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), c_Groups_Ominus__class_Ominus(_u1488, _u1489, _u1492)), _u1490), _u1491), _u1493) | c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490), _u1491), c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1492), _u1490), _u1493)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1494) | ~c_Orderings_Oord__class_Oless(_u1494, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496), _u1497), c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1498), _u1496), _u1499)) | c_Orderings_Oord__class_Oless(_u1494, _u1497, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ominus__class_Ominus(_u1494, _u1498, _u1495)), _u1496), _u1499)) )).
% 15.21/15.39 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1494) | ~c_Orderings_Oord__class_Oless(_u1494, _u1497, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ominus__class_Ominus(_u1494, _u1498, _u1495)), _u1496), _u1499)) | c_Orderings_Oord__class_Oless(_u1494, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496), _u1497), c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1498), _u1496), _u1499)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1500) | ~c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1501), _u1502), _u1503), c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1504), _u1502), _u1505)) | c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), c_Groups_Ominus__class_Ominus(_u1500, _u1501, _u1504)), _u1502), _u1503), _u1505) )).
% 15.21/15.39 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1500) | ~c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), c_Groups_Ominus__class_Ominus(_u1500, _u1501, _u1504)), _u1502), _u1503), _u1505) | c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1501), _u1502), _u1503), c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1504), _u1502), _u1505)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__squared__diff__one__factored ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__squared__diff__one__factored-1, axiom, ( ~class_Rings_Oring__1(_u1506) | ( c_Groups_Ominus__class_Ominus(_u1506, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1506), _u1507), _u1507), c_Groups_Oone__class_Oone(_u1506)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1506), c_Groups_Oplus__class_Oplus(_u1506, _u1507, c_Groups_Oone__class_Oone(_u1506))), c_Groups_Ominus__class_Ominus(_u1506, _u1507, c_Groups_Oone__class_Oone(_u1506)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_division__ring__inverse__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_division__ring__inverse__diff-1, axiom, ( ~class_Rings_Odivision__ring(_u1508) | ( _u1509 = c_Groups_Ozero__class_Ozero(_u1508)) | ( _u1510 = c_Groups_Ozero__class_Ozero(_u1508)) | ( c_Groups_Ominus__class_Ominus(_u1508, c_Rings_Oinverse__class_Oinverse(_u1508, _u1509), c_Rings_Oinverse__class_Oinverse(_u1508, _u1510)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1508), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1508), c_Rings_Oinverse__class_Oinverse(_u1508, _u1509)), c_Groups_Ominus__class_Ominus(_u1508, _u1510, _u1509))), c_Rings_Oinverse__class_Oinverse(_u1508, _u1510))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u1511) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), c_Groups_Ouminus__class_Ouminus(_u1511, _u1512)), _u1513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), c_Groups_Ouminus__class_Ouminus(_u1511, c_Groups_Oone__class_Oone(_u1511))), _u1513)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), _u1512), _u1513))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__triangle__ineq4 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__triangle__ineq4-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1514) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1514, c_Groups_Ominus__class_Ominus(_u1514, _u1515, _u1516)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1514, _u1515), c_RealVector_Onorm__class_Onorm(_u1514, _u1516))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__of__real__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__of__real__inverse-1, axiom, ( ~class_RealVector_Oreal__div__algebra(_u1517) | ( _u1518 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1517, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1518)) = c_Rings_Oinverse__class_Oinverse(_u1517, c_RealVector_Oof__real(_u1517, _u1518))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__diff__triangle__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__diff__triangle__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1519) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, c_Groups_Oplus__class_Oplus(_u1519, _u1520, _u1521), c_Groups_Oplus__class_Oplus(_u1519, _u1522, _u1523))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, _u1520, _u1522)), c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, _u1521, _u1523)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Deriv_Oinverse__diff__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Deriv_Oinverse__diff__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u1524) | ( _u1525 = c_Groups_Ozero__class_Ozero(_u1524)) | ( _u1526 = c_Groups_Ozero__class_Ozero(_u1524)) | ( c_Groups_Ominus__class_Ominus(_u1524, c_Rings_Oinverse__class_Oinverse(_u1524, _u1525), c_Rings_Oinverse__class_Oinverse(_u1524, _u1526)) = c_Groups_Ouminus__class_Ouminus(_u1524, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1524), c_Rings_Oinverse__class_Oinverse(_u1524, _u1525)), c_Groups_Ominus__class_Ominus(_u1524, _u1525, _u1526))), c_Rings_Oinverse__class_Oinverse(_u1524, _u1526)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__diff__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__diff__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u1527, _u1528) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u1527, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1528))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_not__real__square__gt__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_not__real__square__gt__zero-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1530), _u1530)) | ( _u1530 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact_not__real__square__gt__zero-2, axiom, ( ( _u1531 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1531), _u1531)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1532) | ~c_Orderings_Oord__class_Oless(_u1532, c_Groups_Oplus__class_Oplus(_u1532, _u1533, _u1533), c_Groups_Ozero__class_Ozero(_u1532)) | c_Orderings_Oord__class_Oless(_u1532, _u1533, c_Groups_Ozero__class_Ozero(_u1532)) )).
% 15.21/15.39 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1532) | ~c_Orderings_Oord__class_Oless(_u1532, _u1533, c_Groups_Ozero__class_Ozero(_u1532)) | c_Orderings_Oord__class_Oless(_u1532, c_Groups_Oplus__class_Oplus(_u1532, _u1533, _u1533), c_Groups_Ozero__class_Ozero(_u1532)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_unimodular__reduce__norm ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_unimodular__reduce__norm-1, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1534) != 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, _u1534, 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, _u1534, 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, _u1534, 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, _u1534, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__real__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__real__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1535, _u1536) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1535, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1536))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__diff__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__diff__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1537, _u1538) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1537, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1538))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_inverse__i ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_inverse__i-1, axiom, ( ( c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diffs0__imp__equal-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1539, _u1540) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1540, _u1539) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1539 = _u1540) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__self__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1541) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1542, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1542) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__0__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1543) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1544, _u1545) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1544, _u1546) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1546, _u1545), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1546, _u1544)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__imp__diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1547, _u1548) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1549), _u1548) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__inverse2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1550, _u1551), _u1551) = _u1550) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__inverse-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1552, _u1553), _u1552) = _u1553) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__diff__left-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1554, _u1555), _u1556) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1554, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1555, _u1556))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__cancel-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1557, _u1558), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1557, _u1559)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1558, _u1559)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__cancel2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1560, _u1561), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1562, _u1561)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1560, _u1562)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__le__self-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1563, _u1564), _u1563) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1565, _u1566) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1567, _u1566), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1567, _u1565)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1568, _u1569) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1568, _u1570), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1569, _u1570)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__diff__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1571, _u1572) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1572, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1572, _u1571)) = _u1571) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_eq__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1574) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1575) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1574, _u1573) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1573)) | ( _u1574 = _u1575) )).
% 15.21/15.39 cnf(fact_eq__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1574) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1575) | ( _u1574 != _u1575) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1574, _u1573) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1573)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1576, _u1577) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1576, _u1578) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1577, _u1576), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1578, _u1576)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1577, _u1578)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1580) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1581) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1580, _u1579), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1581, _u1579)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1580, _u1581) )).
% 15.21/15.39 cnf(fact_le__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1580) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1581) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1580, _u1581) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1580, _u1579), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1581, _u1579)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1583, _u1584)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), _u1583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), _u1584))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1585, _u1586)), _u1587) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1585), _u1587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1586), _u1587))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__i__not__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__i__not__one-1, axiom, ( ( c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__i__not__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__i__not__zero-1, axiom, ( ( c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__mod__minus__le__complex__mod ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__mod__minus__le__complex__mod-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1588)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1588)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__i__mult__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__i__mult__minus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), _u1589)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1589)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__le__eq__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__le__eq__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1592, _u1594) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1592, _u1594), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39 cnf(fact_real__le__eq__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1593, _u1595), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1593, _u1595) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1598, _u1600)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1600, _u1598) )).
% 15.21/15.39 cnf(fact_zero__less__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1601, _u1599) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1599, _u1601)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1602) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1603) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1603, _u1602), _u1603) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__minus__mult__self__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__minus__mult__self__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1604), _u1604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1605), _u1605)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1606, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1606, _u1607)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1608, _u1609) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1608, _u1609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__is__0__eq-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1612, _u1614) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1612, _u1614) )).
% 15.21/15.39 cnf(fact_diff__is__0__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1615) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1613, _u1615) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1619, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1621, _u1623)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1619, _u1623), _u1621) )).
% 15.21/15.39 cnf(fact_less__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1620, _u1624), _u1622) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1620, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1622, _u1624)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__diff__inverse-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1625, _u1626) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1626, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1625, _u1626)) = _u1625) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1628) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1629) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1628, _u1627), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1629, _u1627)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1628, _u1629) )).
% 15.21/15.39 cnf(fact_less__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1628) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1629) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1628, _u1629) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1628, _u1627), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1629, _u1627)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1630, _u1631) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1632, _u1630) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1630, _u1632), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1631, _u1632)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__eq__0__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1635, _u1637) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1637 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1635)) )).
% 15.21/15.39 cnf(fact_real__add__eq__0__iff-2, axiom, ( ( _u1638 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1636)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1636, _u1638) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__minus__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__minus__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1641, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1643)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1641 = _u1643) )).
% 15.21/15.39 cnf(fact_real__add__minus__iff-2, axiom, ( ( _u1642 != _u1644) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1642, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1644)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1645, _u1646) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1646, _u1647), _u1645) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1646, _u1645), _u1647)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__diff__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1648, _u1649) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1649, _u1648), _u1650) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1649, _u1650), _u1648)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__add__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1651, _u1652) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1653, _u1652), _u1651) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1653, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1652, _u1651))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1654, _u1655) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1655, _u1654) != _u1656) | ( _u1655 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1656, _u1654)) )).
% 15.21/15.39 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1654, _u1655) | ( _u1655 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1656, _u1654)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1655, _u1654) = _u1656) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1657, _u1658) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1658, _u1657), _u1657) = _u1658) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__diff__conv2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1659, _u1660) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1661, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1660, _u1659)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1661, _u1659), _u1660) )).
% 15.21/15.39 cnf(fact_le__diff__conv2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1659, _u1660) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1661, _u1659), _u1660) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1661, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1660, _u1659)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add__diff__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1662, _u1663) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1664, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1663, _u1662)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1664, _u1663), _u1662)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add__diff__inverse-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1665, _u1666) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1665, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1666, _u1665)) = _u1666) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__add__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1667, _u1668) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1669, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1668, _u1669), _u1667)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1673, _u1675), _u1677) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1673, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1677, _u1675)) )).
% 15.21/15.39 cnf(fact_le__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1674, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1678, _u1676)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1674, _u1676), _u1678) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__diff__right-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1679, _u1680) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1681, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1680, _u1679)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1681, _u1679), _u1680)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__mod__triangle__ineq2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__mod__triangle__ineq2-1, axiom, ( 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, _u1682, _u1683)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1682)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1683)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__diff__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__diff__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1684) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1684, _u1685), c_RealVector_Onorm__class_Onorm(_u1684, _u1686)), c_RealVector_Onorm__class_Onorm(_u1684, c_Groups_Oplus__class_Oplus(_u1684, _u1685, _u1686))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u1692, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1694, _u1696))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1694, _u1696) | hBOOL(hAPP(_u1692, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.21/15.39 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u1692, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1694, _u1696))) | ( _u1694 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1696, _u1687)) | hBOOL(hAPP(_u1692, _u1687)) )).
% 15.21/15.39 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1695, _u1697) | ( _u1695 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1697, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.39 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1695, _u1697) | ~hBOOL(hAPP(_u1693, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.39 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | ~hBOOL(hAPP(_u1693, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1695 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1697, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.39 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | ~hBOOL(hAPP(_u1693, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1693, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u1703, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1707))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1705, _u1707) | hBOOL(hAPP(_u1703, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.21/15.39 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u1703, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1707))) | ( _u1705 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1707, _u1698)) | hBOOL(hAPP(_u1703, _u1698)) )).
% 15.21/15.39 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1706, _u1708) | ( _u1706 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1708, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.39 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1706, _u1708) | ~hBOOL(hAPP(_u1704, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.39 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | ~hBOOL(hAPP(_u1704, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1706 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1708, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.39 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | ~hBOOL(hAPP(_u1704, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1704, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__0__le__add__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__0__le__add__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1711, _u1713)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1711), _u1713) )).
% 15.21/15.39 cnf(fact_real__0__le__add__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1712), _u1714) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1712, _u1714)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__le__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__le__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1717, _u1719), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1719, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1717)) )).
% 15.21/15.39 cnf(fact_real__add__le__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1720, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1718)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1718, _u1720), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__0__less__add__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__0__less__add__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1723, _u1725)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1723), _u1725) )).
% 15.21/15.39 cnf(fact_real__0__less__add__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1724), _u1726) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1724, _u1726)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__add__less__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__add__less__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1729, _u1731), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1731, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1729)) )).
% 15.21/15.39 cnf(fact_real__add__less__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1732, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1730)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1730, _u1732), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__le__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1733, _u1734) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1734), _u1735), _u1736), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1733), _u1735), _u1737)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1734, _u1733)), _u1735), _u1736), _u1737) )).
% 15.21/15.39 cnf(fact_nat__le__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1733, _u1734) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1734, _u1733)), _u1735), _u1736), _u1737) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1734), _u1735), _u1736), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1733), _u1735), _u1737)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1738, _u1739) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1739), _u1740), _u1741), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1738), _u1740), _u1742)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1739, _u1738)), _u1740), _u1741), _u1742)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1743, _u1744) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1744), _u1745), _u1746) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1743), _u1745), _u1747)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1744, _u1743)), _u1745), _u1746) = _u1747) )).
% 15.21/15.39 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1743, _u1744) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1744, _u1743)), _u1745), _u1746) != _u1747) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1744), _u1745), _u1746) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1743), _u1745), _u1747)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__le__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1748, _u1749) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1748), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1749), _u1750), _u1752)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1751, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1749, _u1748)), _u1750), _u1752)) )).
% 15.21/15.39 cnf(fact_nat__le__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1748, _u1749) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1751, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1749, _u1748)), _u1750), _u1752)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1748), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1749), _u1750), _u1752)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1753, _u1754) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1753), _u1755), _u1756), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1754), _u1755), _u1757)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1756, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1754, _u1753)), _u1755), _u1757))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1758, _u1759) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1758), _u1760), _u1761) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1759), _u1760), _u1762)) | ( _u1761 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1759, _u1758)), _u1760), _u1762)) )).
% 15.21/15.39 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1758, _u1759) | ( _u1761 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1759, _u1758)), _u1760), _u1762)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1758), _u1760), _u1761) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1759), _u1760), _u1762)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_i__mult__eq2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_i__mult__eq2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_complex__of__real__minus__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_complex__of__real__minus__one-1, axiom, ( ( c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1764, _u1765)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), _u1764)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), _u1765))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zpower__zpower-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1766), _u1767)), _u1768) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1767), _u1768))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__less__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1769, _u1770) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1769), _u1771), _u1772), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1770), _u1771), _u1773)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1770, _u1769)), _u1771), _u1773)) )).
% 15.21/15.39 cnf(fact_nat__less__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1769, _u1770) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1770, _u1769)), _u1771), _u1773)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1769), _u1771), _u1772), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1770), _u1771), _u1773)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nat__less__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1775) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1775), _u1776), _u1777), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1774), _u1776), _u1778)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1775, _u1774)), _u1776), _u1777), _u1778) )).
% 15.21/15.39 cnf(fact_nat__less__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1775) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1775, _u1774)), _u1776), _u1777), _u1778) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1775), _u1776), _u1777), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1774), _u1776), _u1778)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__eq__if-1, axiom, ( ( _u1781 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1781), _u1783) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_mult__eq__if-2, axiom, ( ( _u1782 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1782), _u1784) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1784, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1782, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1784))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__eq__if-1, axiom, ( ( _u1787 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1789), _u1787) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_power__eq__if-2, axiom, ( ( _u1788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1790), _u1788) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1790), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1790), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1788, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_realpow__num__eq__if ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_realpow__num__eq__if-1, axiom, ( ~class_Power_Opower(_u1791) | ( _u1792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), _u1792) = c_Groups_Oone__class_Oone(_u1791)) )).
% 15.21/15.39 cnf(fact_realpow__num__eq__if-2, axiom, ( ~class_Power_Opower(_u1791) | ( _u1792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), _u1792) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1791), _u1793), hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1792, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_realpow__minus__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_realpow__minus__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u1794) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1795) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1794), hAPP(hAPP(c_Power_Opower__class_Opower(_u1794), _u1796), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u1796) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1794), _u1796), _u1795)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1797) | ( c_Groups_Oplus__class_Oplus(_u1797, _u1798, _u1798) != c_Groups_Ozero__class_Ozero(_u1797)) | ( _u1798 = c_Groups_Ozero__class_Ozero(_u1797)) )).
% 15.21/15.39 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1797) | ( _u1798 != c_Groups_Ozero__class_Ozero(_u1797)) | ( c_Groups_Oplus__class_Oplus(_u1797, _u1798, _u1798) = c_Groups_Ozero__class_Ozero(_u1797)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Deriv_Oadd__diff__add ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Deriv_Oadd__diff__add-1, axiom, ( ~class_Groups_Oab__group__add(_u1799) | ( c_Groups_Ominus__class_Ominus(_u1799, c_Groups_Oplus__class_Oplus(_u1799, _u1800, _u1801), c_Groups_Oplus__class_Oplus(_u1799, _u1802, _u1803)) = c_Groups_Oplus__class_Oplus(_u1799, c_Groups_Ominus__class_Ominus(_u1799, _u1800, _u1802), c_Groups_Ominus__class_Ominus(_u1799, _u1801, _u1803))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_ath ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_ath-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, _u1805) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1805, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 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_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1805)), _u1804), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096-1, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_assms ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_assms-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_m_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_m_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1806), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1806)), v_m____) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_th11 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_th11-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), 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_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1808, _u1809)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), _u1808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), _u1809))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1810)), _u1811) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1810), _u1811))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zdiff__zmult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1812, _u1813)), _u1814) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1812), _u1814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1813), _u1814))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1815) | ( c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ouminus__class_Ouminus(_u1815, _u1816)) = c_Groups_Oabs__class_Oabs(_u1815, _u1816)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1817) | ( c_Groups_Oabs__class_Oabs(_u1817, c_Groups_Ominus__class_Ominus(_u1817, _u1818, _u1819)) = c_Groups_Oabs__class_Oabs(_u1817, c_Groups_Ominus__class_Ominus(_u1817, _u1819, _u1818))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__commute-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1820, _u1821), _u1822) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1820, _u1822), _u1821)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__zless__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1823, _u1824) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1825) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1825), _u1823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1825), _u1824)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_pos__zmult__eq__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1826 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_pos__zmult__eq__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1827 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_pos__zmult__eq__1__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( _u1826 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1827 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__zmult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1828, _u1829)), _u1830) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1828), _u1830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1829), _u1830))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__assoc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1831), _u1832)), _u1833) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1832), _u1833))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1835, _u1836)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), _u1835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), _u1836))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1837), _u1838) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1838), _u1837)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1839), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1839) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1840) = _u1840) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1841) | ( c_Groups_Oabs__class_Oabs(_u1841, _u1842) != c_Groups_Ozero__class_Ozero(_u1841)) | ( _u1842 = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.21/15.39 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1841) | ( _u1842 != c_Groups_Ozero__class_Ozero(_u1841)) | ( c_Groups_Oabs__class_Oabs(_u1841, _u1842) = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1843) | ( c_Groups_Oabs__class_Oabs(_u1843, c_Groups_Ozero__class_Ozero(_u1843)) = c_Groups_Ozero__class_Ozero(_u1843)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1844) | ~c_Orderings_Oord__class_Oless__eq(_u1844, c_Groups_Oabs__class_Oabs(_u1844, _u1845), _u1846) | c_Orderings_Oord__class_Oless__eq(_u1844, _u1845, _u1846) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1847) | c_Orderings_Oord__class_Oless__eq(_u1847, _u1848, c_Groups_Oabs__class_Oabs(_u1847, _u1848)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1849) | ( c_Groups_Oabs__class_Oabs(_u1849, c_Groups_Oplus__class_Oplus(_u1849, c_Groups_Oabs__class_Oabs(_u1849, _u1850), c_Groups_Oabs__class_Oabs(_u1849, _u1851))) = c_Groups_Oplus__class_Oplus(_u1849, c_Groups_Oabs__class_Oabs(_u1849, _u1850), c_Groups_Oabs__class_Oabs(_u1849, _u1851))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1852) | ( c_Groups_Oabs__class_Oabs(_u1852, c_Groups_Oabs__class_Oabs(_u1852, _u1853)) = c_Groups_Oabs__class_Oabs(_u1852, _u1853)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u1854) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), c_Groups_Oabs__class_Oabs(_u1854, _u1855)), c_Groups_Oabs__class_Oabs(_u1854, _u1855)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), _u1855)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u1856) | ( c_Groups_Oabs__class_Oabs(_u1856, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1856), _u1857), _u1858)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1856), c_Groups_Oabs__class_Oabs(_u1856, _u1857)), c_Groups_Oabs__class_Oabs(_u1856, _u1858))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u1859) | ( c_Groups_Oabs__class_Oabs(_u1859, c_Groups_Oone__class_Oone(_u1859)) = c_Groups_Oone__class_Oone(_u1859)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__norm__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__norm__def-1, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1860) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1860)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__norm__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__norm__cancel-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1861) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1861, _u1862)) = c_RealVector_Onorm__class_Onorm(_u1861, _u1862)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__inverse-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1863) | ( c_Groups_Oabs__class_Oabs(_u1863, c_Rings_Oinverse__class_Oinverse(_u1863, _u1864)) = c_Rings_Oinverse__class_Oinverse(_u1863, c_Groups_Oabs__class_Oabs(_u1863, _u1864))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u1865) | ( c_Groups_Oabs__class_Oabs(_u1865, hAPP(hAPP(c_Power_Opower__class_Opower(_u1865), _u1866), _u1867)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1865), c_Groups_Oabs__class_Oabs(_u1865, _u1866)), _u1867)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1868) | ~c_Orderings_Oord__class_Oless__eq(_u1868, c_Groups_Ozero__class_Ozero(_u1868), _u1869) | ( c_Groups_Oabs__class_Oabs(_u1868, _u1869) = _u1869) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1870) | ~c_Orderings_Oord__class_Oless__eq(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), c_Groups_Ozero__class_Ozero(_u1870)) | ( _u1871 = c_Groups_Ozero__class_Ozero(_u1870)) )).
% 15.21/15.39 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1870) | ( _u1871 != c_Groups_Ozero__class_Ozero(_u1870)) | c_Orderings_Oord__class_Oless__eq(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), c_Groups_Ozero__class_Ozero(_u1870)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1872) | c_Orderings_Oord__class_Oless__eq(_u1872, c_Groups_Ozero__class_Ozero(_u1872), c_Groups_Oabs__class_Oabs(_u1872, _u1873)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1874) | ~c_Orderings_Oord__class_Oless(_u1874, c_Groups_Ozero__class_Ozero(_u1874), _u1875) | ( c_Groups_Oabs__class_Oabs(_u1874, _u1875) = _u1875) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1876) | ~c_Orderings_Oord__class_Oless(_u1876, c_Groups_Ozero__class_Ozero(_u1876), c_Groups_Oabs__class_Oabs(_u1876, _u1877)) | ( _u1877 != c_Groups_Ozero__class_Ozero(_u1876)) )).
% 15.21/15.39 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1876) | ( _u1877 = c_Groups_Ozero__class_Ozero(_u1876)) | c_Orderings_Oord__class_Oless(_u1876, c_Groups_Ozero__class_Ozero(_u1876), c_Groups_Oabs__class_Oabs(_u1876, _u1877)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1878) | ~c_Orderings_Oord__class_Oless(_u1878, c_Groups_Oabs__class_Oabs(_u1878, _u1879), c_Groups_Ozero__class_Ozero(_u1878)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u1880) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Oabs__class_Oabs(_u1880, _u1881), _u1882) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Oabs__class_Oabs(_u1880, _u1883), _u1884) | c_Orderings_Oord__class_Oless(_u1880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), c_Groups_Oabs__class_Oabs(_u1880, _u1881)), c_Groups_Oabs__class_Oabs(_u1880, _u1883)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), _u1882), _u1884)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1885) | c_Orderings_Oord__class_Oless__eq(_u1885, c_Groups_Oabs__class_Oabs(_u1885, c_Groups_Oplus__class_Oplus(_u1885, _u1886, _u1887)), c_Groups_Oplus__class_Oplus(_u1885, c_Groups_Oabs__class_Oabs(_u1885, _u1886), c_Groups_Oabs__class_Oabs(_u1885, _u1887))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1888) | c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Oabs__class_Oabs(_u1888, c_Groups_Ominus__class_Ominus(_u1888, c_Groups_Oabs__class_Oabs(_u1888, _u1889), c_Groups_Oabs__class_Oabs(_u1888, _u1890))), c_Groups_Oabs__class_Oabs(_u1888, c_Groups_Ominus__class_Ominus(_u1888, _u1889, _u1890))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1891) | c_Orderings_Oord__class_Oless__eq(_u1891, c_Groups_Ominus__class_Ominus(_u1891, c_Groups_Oabs__class_Oabs(_u1891, _u1892), c_Groups_Oabs__class_Oabs(_u1891, _u1893)), c_Groups_Oabs__class_Oabs(_u1891, c_Groups_Ominus__class_Ominus(_u1891, _u1892, _u1893))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1894) | c_Orderings_Oord__class_Oless__eq(_u1894, c_Groups_Ominus__class_Ominus(_u1894, c_Groups_Oabs__class_Oabs(_u1894, _u1895), c_Groups_Oabs__class_Oabs(_u1894, _u1896)), c_Groups_Oabs__class_Oabs(_u1894, c_Groups_Ominus__class_Ominus(_u1894, _u1896, _u1895))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1897) | c_Orderings_Oord__class_Oless__eq(_u1897, c_Groups_Ouminus__class_Ouminus(_u1897, _u1898), c_Groups_Oabs__class_Oabs(_u1897, _u1898)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, _u1900, _u1901) )).
% 15.21/15.39 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Ouminus__class_Ouminus(_u1899, _u1900), _u1901) )).
% 15.21/15.39 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, _u1900, _u1901) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Ouminus__class_Ouminus(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1902) | ~c_Orderings_Oord__class_Oless__eq(_u1902, _u1903, _u1904) | ~c_Orderings_Oord__class_Oless__eq(_u1902, c_Groups_Ouminus__class_Ouminus(_u1902, _u1903), _u1904) | c_Orderings_Oord__class_Oless__eq(_u1902, c_Groups_Oabs__class_Oabs(_u1902, _u1903), _u1904) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1905) | ~c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Oabs__class_Oabs(_u1905, _u1906), _u1907) | c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Ouminus__class_Ouminus(_u1905, _u1906), _u1907) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, _u1909, _u1910) )).
% 15.21/15.39 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, c_Groups_Ouminus__class_Ouminus(_u1908, _u1909), _u1910) )).
% 15.21/15.39 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, _u1909, _u1910) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Ouminus__class_Ouminus(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_nonzero__abs__inverse ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_nonzero__abs__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u1911) | ( _u1912 = c_Groups_Ozero__class_Ozero(_u1911)) | ( c_Groups_Oabs__class_Oabs(_u1911, c_Rings_Oinverse__class_Oinverse(_u1911, _u1912)) = c_Rings_Oinverse__class_Oinverse(_u1911, c_Groups_Oabs__class_Oabs(_u1911, _u1912))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u1913) | ( c_Groups_Oabs__class_Oabs(_u1913, hAPP(hAPP(c_Power_Opower__class_Opower(_u1913), c_Groups_Ouminus__class_Ouminus(_u1913, _u1914)), _u1915)) = c_Groups_Oabs__class_Oabs(_u1913, hAPP(hAPP(c_Power_Opower__class_Opower(_u1913), _u1914), _u1915))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__le__interval__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__le__interval__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918), _u1920) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1920), _u1918) )).
% 15.21/15.39 cnf(fact_abs__le__interval__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918), _u1920) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1918, _u1920) )).
% 15.21/15.39 cnf(fact_abs__le__interval__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1921), _u1919) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1919, _u1921) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1919), _u1921) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__of__real ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__of__real-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u1922) | ( c_RealVector_Onorm__class_Onorm(_u1922, c_RealVector_Oof__real(_u1922, _u1923)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1923)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__minus__add__cancel ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__minus__add__cancel-1, axiom, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1924, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1925))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1925, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1924)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1928) )).
% 15.21/15.39 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1928, c_Groups_Ozero__class_Ozero(_u1926)) )).
% 15.21/15.39 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1927, c_Groups_Ozero__class_Ozero(_u1926)) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1928) )).
% 15.21/15.39 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1927, c_Groups_Ozero__class_Ozero(_u1926)) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1928, c_Groups_Ozero__class_Ozero(_u1926)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), _u1930) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1929), c_Groups_Oabs__class_Oabs(_u1929, _u1931)), _u1930) = c_Groups_Oabs__class_Oabs(_u1929, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1929), _u1931), _u1930))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1932) | c_Orderings_Oord__class_Oless__eq(_u1932, c_Groups_Ouminus__class_Ouminus(_u1932, c_Groups_Oabs__class_Oabs(_u1932, _u1933)), c_Groups_Ozero__class_Ozero(_u1932)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1934) | ~c_Orderings_Oord__class_Oless__eq(_u1934, _u1935, c_Groups_Ozero__class_Ozero(_u1934)) | ( c_Groups_Oabs__class_Oabs(_u1934, _u1935) = c_Groups_Ouminus__class_Ouminus(_u1934, _u1935)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u1936) | c_Orderings_Oord__class_Oless__eq(_u1936, c_Groups_Ozero__class_Ozero(_u1936), hAPP(hAPP(c_Power_Opower__class_Opower(_u1936), c_Groups_Oabs__class_Oabs(_u1936, _u1937)), _u1938)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u1939) | ~c_Orderings_Oord__class_Oless(_u1939, _u1940, c_Groups_Ozero__class_Ozero(_u1939)) | ( c_Groups_Oabs__class_Oabs(_u1939, _u1940) = c_Groups_Ouminus__class_Ouminus(_u1939, _u1940)) )).
% 15.21/15.39 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u1939) | c_Orderings_Oord__class_Oless(_u1939, _u1940, c_Groups_Ozero__class_Ozero(_u1939)) | ( c_Groups_Oabs__class_Oabs(_u1939, _u1940) = _u1940) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1941) | ~c_Orderings_Oord__class_Oless(_u1941, _u1942, c_Groups_Ozero__class_Ozero(_u1941)) | ( c_Groups_Oabs__class_Oabs(_u1941, _u1942) = c_Groups_Ouminus__class_Ouminus(_u1941, _u1942)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1943) | c_Orderings_Oord__class_Oless__eq(_u1943, c_Groups_Oabs__class_Oabs(_u1943, c_Groups_Ominus__class_Ominus(_u1943, _u1944, _u1945)), c_Groups_Oplus__class_Oplus(_u1943, c_Groups_Oabs__class_Oabs(_u1943, _u1944), c_Groups_Oabs__class_Oabs(_u1943, _u1945))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1946) | c_Orderings_Oord__class_Oless__eq(_u1946, c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, c_Groups_Oplus__class_Oplus(_u1946, _u1947, _u1948), c_Groups_Oplus__class_Oplus(_u1946, _u1949, _u1950))), c_Groups_Oplus__class_Oplus(_u1946, c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, _u1947, _u1949)), c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, _u1948, _u1950)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_rabs__ratiotest__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_rabs__ratiotest__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1951, 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, _u1952), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1951), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1953))) | ( _u1952 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_real__abs__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_real__abs__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1955, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1955) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1955)) )).
% 15.21/15.39 cnf(fact_real__abs__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1956, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1956) = _u1956) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__real__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1958, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1958) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1958)) )).
% 15.21/15.39 cnf(fact_abs__real__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1959, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1959) = _u1959) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__add__one__not__less__self ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__add__one__not__less__self-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1960), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u1960) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__sum__triangle__ineq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__sum__triangle__ineq-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1961, _u1962), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1963), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1964)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1961, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1963))), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1962, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1964))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_norm__triangle__ineq3 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_norm__triangle__ineq3-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1965) | 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(_u1965, _u1966), c_RealVector_Onorm__class_Onorm(_u1965, _u1967))), c_RealVector_Onorm__class_Onorm(_u1965, c_Groups_Ominus__class_Ominus(_u1965, _u1966, _u1967))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__add__one__gt__zero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__add__one__gt__zero-1, axiom, ( 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, _u1968))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem10) )).
% 15.21/15.39 cnf(fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1969), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1969)), skolem10) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__diff__less__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__diff__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) | c_Orderings_Oord__class_Oless(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1973, _u1974), _u1972) )).
% 15.21/15.39 cnf(fact_abs__diff__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) | c_Orderings_Oord__class_Oless(_u1971, _u1972, c_Groups_Oplus__class_Oplus(_u1971, _u1973, _u1974)) )).
% 15.21/15.39 cnf(fact_abs__diff__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1973, _u1974), _u1972) | ~c_Orderings_Oord__class_Oless(_u1971, _u1972, c_Groups_Oplus__class_Oplus(_u1971, _u1973, _u1974)) | c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem11) )).
% 15.21/15.39 cnf(fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1975), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1975)), skolem11) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less_Oprems ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less_Oprems-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zabs__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1978, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1978) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1978)) )).
% 15.21/15.39 cnf(fact_zabs__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1979, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1979) = _u1979) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less__bin__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1982, _u1984) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1982, _u1984), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_less__bin__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1983, _u1985), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1983, _u1985) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__diff1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1988, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1990, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1988, _u1990) )).
% 15.21/15.39 cnf(fact_zle__diff1__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1989, _u1991) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1989, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1991, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1992, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1993)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1992, _u1993)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__int__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1994, _u1995) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1994, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1995))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__zmult__eq__1-1, axiom, ( ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1996), _u1997)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1996) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zabs__less__one__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1999), c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1999 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u2000 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2000), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__le__zpower__abs-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2001)), _u2002)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_constant__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_constant__def-1, axiom, ( ( hAPP(_u2014, _u2004) = hAPP(_u2014, _u2003)) | ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u2010, _u2012, _u2014) )).
% 15.21/15.39 cnf(fact_constant__def-2, axiom, ( ( hAPP(_u2015, skolem12(_u2015)) != hAPP(_u2015, skolem13(_u2015))) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u2011, _u2013, _u2015) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_odd__nonzero-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2016), _u2016) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_int__0__less__1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2017) = _u2017) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_int__one__le__iff__zero__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2019) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2019) )).
% 15.21/15.39 cnf(fact_int__one__le__iff__zero__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2020) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2020) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2021, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2021) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__add1__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2024, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2026, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2024, _u2026) )).
% 15.21/15.39 cnf(fact_zle__add1__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2025, _u2027) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2025, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2027, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zless__add1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2032, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, _u2032) | ( _u2030 = _u2032) )).
% 15.21/15.39 cnf(fact_zless__add1__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2033, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, _u2033) )).
% 15.21/15.39 cnf(fact_zless__add1__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2033, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2031 != _u2033) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_add1__zle__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2036, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2038) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2036, _u2038) )).
% 15.21/15.39 cnf(fact_add1__zle__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2037, _u2039) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2037, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2039) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_odd__less__0-1, axiom, ( ~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), _u2041), _u2041), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2041, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_odd__less__0-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2042, 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), _u2042), _u2042), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_le__imp__0__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2043) | 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), _u2043)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2044, _u2045) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2044, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2045) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zless__linear-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2046, _u2047) | ( _u2046 = _u2047) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2047, _u2046) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__zless__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2048, _u2049) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2050, _u2051) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2048, _u2050), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2049, _u2051)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2052, _u2053) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2054, _u2052), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2054, _u2053)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2055, _u2056) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2055, _u2057), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2056, _u2057)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2058, _u2059), _u2060) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2058, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2059, _u2060))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2061, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2062, _u2063)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2062, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2061, _u2063))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zless__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2066, _u2068) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2066, _u2068) )).
% 15.21/15.39 cnf(fact_zless__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2066, _u2068) | ( _u2066 != _u2068) )).
% 15.21/15.39 cnf(fact_zless__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2067, _u2069) | ( _u2067 = _u2069) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2067, _u2069) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2070, _u2071) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2071, _u2070)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zminus__zadd__distrib-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2072, _u2073)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2072), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2073))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zminus__zminus-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2074)) = _u2074) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zadd__zminus__inverse2-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2075), _u2075) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zminus__0-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zero__less__zpower__abs__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2078)), _u2080)) | ( _u2078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2080 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39 cnf(fact_zero__less__zpower__abs__iff-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2079)), _u2081)) | ( _u2079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39 cnf(fact_zero__less__zpower__abs__iff-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2079)), _u2081)) | ( _u2081 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_incr__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2082) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2083, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2084, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2084, _u2083)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2082))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_decr__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2085) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2086, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2086, _u2087)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2085)), _u2087) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_self__quotient__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2088) | ( _u2088 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2089, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2088), _u2090))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2089, _u2088) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2090) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_pc0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_pc0-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_c ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_c-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _u2091))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_kn ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_kn-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2092, _u2092) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2093, _u2094) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2094, _u2093) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2096) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2096, _u2097) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2097) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zle__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2098, _u2099) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2099, _u2098) | ( _u2098 = _u2099) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_q__pos__lemma-1, axiom, ( ~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, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2100), _u2101), _u2102)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2102, _u2100) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2100) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2101) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_q__neg__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2103), _u2104), _u2105), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2105) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2103) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2104, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_unique__quotient__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2106), _u2107), _u2108), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2106), _u2109), _u2110)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2108) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2108, _u2106) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2110, _u2106) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2107, _u2109) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zdiv__mono2__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2111), _u2112), _u2113) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2114), _u2115), _u2116)) | ~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, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2114), _u2115), _u2116)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2116, _u2114) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2113) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2114) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2114, _u2111) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2112, _u2115) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_unique__quotient__lemma__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2117), _u2118), _u2119), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2117), _u2120), _u2121)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2121, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2117, _u2121) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2117, _u2119) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2120, _u2118) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_zdiv__mono2__neg__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2122), _u2123), _u2124) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2125), _u2126), _u2127)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2125), _u2126), _u2127), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2124, _u2122) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2127) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2125) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2125, _u2122) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2126, _u2123) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_self__quotient__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2128) | ( _u2128 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2129, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2128), _u2130))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2129) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2130, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_k1n ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_k1n-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2131) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2131), _u2132)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2133) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2134) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2134)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_psize__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_psize__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2135) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2135, _u2136) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2136 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2135))) )).
% 15.21/15.39 cnf(fact_psize__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2135) | ( _u2136 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2135))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2135, _u2136) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( 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)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( 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)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2137) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2138) | 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, _u2137, _u2138)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_q_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_q_I2_J-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2139) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2139))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_less_Ohyps ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_less_Ohyps-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, _u2141), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2141)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2141), skolem14(_u2141)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem15) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.39 cnf(fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096-2, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, skolem15), _u2142) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2142))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_q_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_q_I1_J-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_a00 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_a00-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_qnc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_qnc-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_cq0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_cq0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _u2144))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_pqc0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_pqc0-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_kas_I3_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_kas_I3_J-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_s____), v_k____), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), skolem16) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mrmq__eq ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mrmq__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2147)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2147)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.39 cnf(fact_mrmq__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2148)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2148)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_rnc ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_rnc-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_qr ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_qr-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2149) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2149)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_r01 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_r01-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_lgqr ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_lgqr-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_kas_I4_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_kas_I4_J-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2150) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _u2150), v_k____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____)), _u2150)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem17)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem18) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem19)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_offset__poly__eq__0__lemma ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_offset__poly__eq__0__lemma-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2154) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2154), c_Polynomial_Osmult(_u2154, _u2155, _u2156), c_Polynomial_OpCons(_u2154, _u2157, _u2156)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2154))) | ( _u2156 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2154))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_th01 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_th01-1, axiom, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_th02 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_th02-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__replicate__append ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__replicate__append-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2158) | ( hAPP(c_Polynomial_Opoly(_u2158, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2158)), c_Polynomial_Omonom(_u2158, c_Groups_Oone__class_Oone(_u2158), _u2159)), _u2160)), _u2161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2158), hAPP(hAPP(c_Power_Opower__class_Opower(_u2158), _u2161), _u2159)), hAPP(c_Polynomial_Opoly(_u2158, _u2160), _u2161))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))))), skolem20) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_monom__0 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_monom__0-1, axiom, ( ~class_Groups_Ozero(_u2163) | ( c_Polynomial_Omonom(_u2163, _u2164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(_u2163, _u2164, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2163)))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__poly__code_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__poly__code_I1_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2165) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2165), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2165)), _u2166) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2165), _u2166)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__poly__code_I2_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__poly__code_I2_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2167) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2167), _u2168, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2167))) = _u2168) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__poly__0__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__poly__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2169) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2169)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2169))), _u2170) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2169))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__poly__0__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__poly__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2171) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2171)), _u2172), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__poly__code_I1_J ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__poly__code_I1_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2173) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2173), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_abs__poly__def ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_abs__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2174) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2174), _u2175, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2174))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2174), _u2175) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2174), _u2175)) )).
% 15.21/15.39 cnf(fact_abs__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2174) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2174), _u2175, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2174))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2174), _u2175) = _u2175) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__eq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2176) | ~class_Rings_Oidom(_u2176) | ( c_Polynomial_Opoly(_u2176, _u2177) != c_Polynomial_Opoly(_u2176, _u2178)) | ( _u2177 = _u2178) )).
% 15.21/15.39 cnf(fact_poly__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2176) | ~class_Rings_Oidom(_u2176) | ( _u2177 != _u2178) | ( c_Polynomial_Opoly(_u2176, _u2177) = c_Polynomial_Opoly(_u2176, _u2178)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_pCons__eq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_pCons__eq__iff-1, axiom, ( ~class_Groups_Ozero(_u2179) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) != c_Polynomial_OpCons(_u2179, _u2182, _u2183)) | ( _u2180 = _u2182) )).
% 15.21/15.39 cnf(fact_pCons__eq__iff-2, axiom, ( ~class_Groups_Ozero(_u2179) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) != c_Polynomial_OpCons(_u2179, _u2182, _u2183)) | ( _u2181 = _u2183) )).
% 15.21/15.39 cnf(fact_pCons__eq__iff-3, axiom, ( ~class_Groups_Ozero(_u2179) | ( _u2180 != _u2182) | ( _u2181 != _u2183) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) = c_Polynomial_OpCons(_u2179, _u2182, _u2183)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_smult__diff__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_smult__diff__right-1, axiom, ( ~class_Rings_Ocomm__ring(_u2184) | ( c_Polynomial_Osmult(_u2184, _u2185, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2184), _u2186, _u2187)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2184), c_Polynomial_Osmult(_u2184, _u2185, _u2186), c_Polynomial_Osmult(_u2184, _u2185, _u2187))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_smult__minus__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_smult__minus__right-1, axiom, ( ~class_Rings_Ocomm__ring(_u2188) | ( c_Polynomial_Osmult(_u2188, _u2189, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2188), _u2190)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2188), c_Polynomial_Osmult(_u2188, _u2189, _u2190))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__smult__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__smult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2191) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2191)), c_Polynomial_Osmult(_u2191, _u2192, _u2193)), _u2194) = c_Polynomial_Osmult(_u2191, _u2192, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2191)), _u2193), _u2194))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__smult__right ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__smult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2195) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2195)), _u2196), c_Polynomial_Osmult(_u2195, _u2197, _u2198)) = c_Polynomial_Osmult(_u2195, _u2197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2195)), _u2196), _u2198))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_mult__poly__add__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_mult__poly__add__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2199) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2199), _u2200, _u2201)), _u2202) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), _u2200), _u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), _u2201), _u2202))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_monom__eq__iff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_monom__eq__iff-1, axiom, ( ~class_Groups_Ozero(_u2203) | ( c_Polynomial_Omonom(_u2203, _u2204, _u2205) != c_Polynomial_Omonom(_u2203, _u2206, _u2205)) | ( _u2204 = _u2206) )).
% 15.21/15.39 cnf(fact_monom__eq__iff-2, axiom, ( ~class_Groups_Ozero(_u2203) | ( _u2204 != _u2206) | ( c_Polynomial_Omonom(_u2203, _u2204, _u2205) = c_Polynomial_Omonom(_u2203, _u2206, _u2205)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__mult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2207) | ( hAPP(c_Polynomial_Opoly(_u2207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2207)), _u2208), _u2209)), _u2210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2207), hAPP(c_Polynomial_Opoly(_u2207, _u2208), _u2210)), hAPP(c_Polynomial_Opoly(_u2207, _u2209), _u2210))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__1 ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2211) | ( hAPP(c_Polynomial_Opoly(_u2211, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2211))), _u2212) = c_Groups_Oone__class_Oone(_u2211)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__diff ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__diff-1, axiom, ( ~class_Rings_Ocomm__ring(_u2213) | ( hAPP(c_Polynomial_Opoly(_u2213, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2213), _u2214, _u2215)), _u2216) = c_Groups_Ominus__class_Ominus(_u2213, hAPP(c_Polynomial_Opoly(_u2213, _u2214), _u2216), hAPP(c_Polynomial_Opoly(_u2213, _u2215), _u2216))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__minus ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__minus-1, axiom, ( ~class_Rings_Ocomm__ring(_u2217) | ( hAPP(c_Polynomial_Opoly(_u2217, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2217), _u2218)), _u2219) = c_Groups_Ouminus__class_Ouminus(_u2217, hAPP(c_Polynomial_Opoly(_u2217, _u2218), _u2219))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_poly__power ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_poly__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2220) | ( hAPP(c_Polynomial_Opoly(_u2220, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2220)), _u2221), _u2222)), _u2223) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2220), hAPP(c_Polynomial_Opoly(_u2220, _u2221), _u2223)), _u2222)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_diff__pCons ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_diff__pCons-1, axiom, ( ~class_Groups_Oab__group__add(_u2224) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2224), c_Polynomial_OpCons(_u2224, _u2225, _u2226), c_Polynomial_OpCons(_u2224, _u2227, _u2228)) = c_Polynomial_OpCons(_u2224, c_Groups_Ominus__class_Ominus(_u2224, _u2225, _u2227), c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2224), _u2226, _u2228))) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_smult__smult ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_smult__smult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2229) | ( c_Polynomial_Osmult(_u2229, _u2230, c_Polynomial_Osmult(_u2229, _u2231, _u2232)) = c_Polynomial_Osmult(_u2229, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2229), _u2230), _u2231), _u2232)) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_smult__1__left ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_smult__1__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2233) | ( c_Polynomial_Osmult(_u2233, c_Groups_Oone__class_Oone(_u2233), _u2234) = _u2234) )).
% 15.21/15.39
% 15.21/15.39 % Formula: fact_minus__pCons ( axiom ) converted to clauses:
% 15.21/15.39 cnf(fact_minus__pCons-1, axiom, ( ~class_Groups_Oab__group__add(_u2235) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2235), c_Polynomial_OpCons(_u2235, _u2236, _u2237)) = c_Polynomial_OpCons(_u2235, c_Groups_Ouminus__class_Ouminus(_u2235, _u2236), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2235), _u2237))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_minus__poly__code_I2_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_minus__poly__code_I2_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2238) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2238), c_Polynomial_OpCons(_u2238, _u2239, _u2240)) = c_Polynomial_OpCons(_u2238, c_Groups_Ouminus__class_Ouminus(_u2238, _u2239), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2238), _u2240))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__diff__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__diff__left-1, axiom, ( ~class_Rings_Ocomm__ring(_u2241) | ( c_Polynomial_Osmult(_u2241, c_Groups_Ominus__class_Ominus(_u2241, _u2242, _u2243), _u2244) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2241), c_Polynomial_Osmult(_u2241, _u2242, _u2244), c_Polynomial_Osmult(_u2241, _u2243, _u2244))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__minus__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__minus__left-1, axiom, ( ~class_Rings_Ocomm__ring(_u2245) | ( c_Polynomial_Osmult(_u2245, c_Groups_Ouminus__class_Ouminus(_u2245, _u2246), _u2247) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2245), c_Polynomial_Osmult(_u2245, _u2246, _u2247))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__zero-1, axiom, ( ~class_Int_Oring__char__0(_u2248) | ~class_Rings_Oidom(_u2248) | ( c_Polynomial_Opoly(_u2248, _u2249) != c_Polynomial_Opoly(_u2248, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248)))) | ( _u2249 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248))) )).
% 15.21/15.40 cnf(fact_poly__zero-2, axiom, ( ~class_Int_Oring__char__0(_u2248) | ~class_Rings_Oidom(_u2248) | ( _u2249 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248))) | ( c_Polynomial_Opoly(_u2248, _u2249) = c_Polynomial_Opoly(_u2248, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__0__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2250) | ( c_Polynomial_Osmult(_u2250, _u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2250))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2250))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_diff__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_diff__monom-1, axiom, ( ~class_Groups_Oab__group__add(_u2252) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2252), c_Polynomial_Omonom(_u2252, _u2253, _u2254), c_Polynomial_Omonom(_u2252, _u2255, _u2254)) = c_Polynomial_Omonom(_u2252, c_Groups_Ominus__class_Ominus(_u2252, _u2253, _u2255), _u2254)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_minus__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_minus__monom-1, axiom, ( ~class_Groups_Oab__group__add(_u2256) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2256), c_Polynomial_Omonom(_u2256, _u2257, _u2258)) = c_Polynomial_Omonom(_u2256, c_Groups_Ouminus__class_Ouminus(_u2256, _u2257), _u2258)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_add__poly__code_I2_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_add__poly__code_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2259) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2259), _u2260, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2259))) = _u2260) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_add__poly__code_I1_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_add__poly__code_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2261) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2261), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2261)), _u2262) = _u2262) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__add__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__add__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2263) | ( c_Polynomial_Osmult(_u2263, _u2264, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2263), _u2265, _u2266)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2263), c_Polynomial_Osmult(_u2263, _u2264, _u2265), c_Polynomial_Osmult(_u2263, _u2264, _u2266))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2267) | ( hAPP(c_Polynomial_Opoly(_u2267, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2267))), _u2268) = c_Groups_Ozero__class_Ozero(_u2267)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pCons__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pCons__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2269) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( _u2270 = c_Groups_Ozero__class_Ozero(_u2269)) )).
% 15.21/15.40 cnf(fact_pCons__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2269) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( _u2271 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) )).
% 15.21/15.40 cnf(fact_pCons__eq__0__iff-3, axiom, ( ~class_Groups_Ozero(_u2269) | ( _u2270 != c_Groups_Ozero__class_Ozero(_u2269)) | ( _u2271 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pCons__0__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pCons__0__0-1, axiom, ( ~class_Groups_Ozero(_u2272) | ( c_Polynomial_OpCons(_u2272, c_Groups_Ozero__class_Ozero(_u2272), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2272))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2272))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__eq__0__iff-1, axiom, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 = c_Groups_Ozero__class_Ozero(_u2273)) | ( _u2275 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.21/15.40 cnf(fact_smult__eq__0__iff-2, axiom, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 != c_Groups_Ozero__class_Ozero(_u2273)) )).
% 15.21/15.40 cnf(fact_smult__eq__0__iff-3, axiom, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__0__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2276) | ( c_Polynomial_Osmult(_u2276, c_Groups_Ozero__class_Ozero(_u2276), _u2277) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2276))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_one__poly__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_one__poly__def-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2278) | ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2278)) = c_Polynomial_OpCons(_u2278, c_Groups_Oone__class_Oone(_u2278), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__smult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__smult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2279) | ( hAPP(c_Polynomial_Opoly(_u2279, c_Polynomial_Osmult(_u2279, _u2280, _u2281)), _u2282) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2280), hAPP(c_Polynomial_Opoly(_u2279, _u2281), _u2282))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2283) | ( c_Polynomial_Osmult(_u2283, _u2284, c_Polynomial_OpCons(_u2283, _u2285, _u2286)) = c_Polynomial_OpCons(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2285), c_Polynomial_Osmult(_u2283, _u2284, _u2286))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2287)), c_Polynomial_Omonom(_u2287, _u2288, _u2289)), c_Polynomial_Omonom(_u2287, _u2290, _u2291)) = c_Polynomial_Omonom(_u2287, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2287), _u2288), _u2290), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2289, _u2291))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_monom__eq__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_monom__eq__0-1, axiom, ( ~class_Groups_Ozero(_u2292) | ( c_Polynomial_Omonom(_u2292, c_Groups_Ozero__class_Ozero(_u2292), _u2293) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2292))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_monom__eq__0__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_monom__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2294) | ( c_Polynomial_Omonom(_u2294, _u2295, _u2296) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2294))) | ( _u2295 = c_Groups_Ozero__class_Ozero(_u2294)) )).
% 15.21/15.40 cnf(fact_monom__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2294) | ( _u2295 != c_Groups_Ozero__class_Ozero(_u2294)) | ( c_Polynomial_Omonom(_u2294, _u2295, _u2296) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2294))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__add-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2297) | ( hAPP(c_Polynomial_Opoly(_u2297, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2297), _u2298, _u2299)), _u2300) = c_Groups_Oplus__class_Oplus(_u2297, hAPP(c_Polynomial_Opoly(_u2297, _u2298), _u2300), hAPP(c_Polynomial_Opoly(_u2297, _u2299), _u2300))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_add__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_add__pCons-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2301) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2301), c_Polynomial_OpCons(_u2301, _u2302, _u2303), c_Polynomial_OpCons(_u2301, _u2304, _u2305)) = c_Polynomial_OpCons(_u2301, c_Groups_Oplus__class_Oplus(_u2301, _u2302, _u2304), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2301), _u2303, _u2305))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__unique__lemma ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__unique__lemma-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2306) | ( c_Polynomial_Osmult(_u2306, _u2307, _u2308) != c_Polynomial_OpCons(_u2306, _u2309, _u2308)) | ( _u2308 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2306))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__add__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__add__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2310) | ( c_Polynomial_Osmult(_u2310, c_Groups_Oplus__class_Oplus(_u2310, _u2311, _u2312), _u2313) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2310), c_Polynomial_Osmult(_u2310, _u2311, _u2313), c_Polynomial_Osmult(_u2310, _u2312, _u2313))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2314) | ( c_Polynomial_Osmult(_u2314, _u2315, c_Polynomial_Omonom(_u2314, _u2316, _u2317)) = c_Polynomial_Omonom(_u2314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2314), _u2315), _u2316), _u2317)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_add__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_add__monom-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2318) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2318), c_Polynomial_Omonom(_u2318, _u2319, _u2320), c_Polynomial_Omonom(_u2318, _u2321, _u2320)) = c_Polynomial_Omonom(_u2318, c_Groups_Oplus__class_Oplus(_u2318, _u2319, _u2321), _u2320)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2322) | ( hAPP(c_Polynomial_Opoly(_u2322, c_Polynomial_OpCons(_u2322, _u2323, _u2324)), _u2325) = c_Groups_Oplus__class_Oplus(_u2322, _u2323, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2322), _u2325), hAPP(c_Polynomial_Opoly(_u2322, _u2324), _u2325)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__monom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2326) | ( hAPP(c_Polynomial_Opoly(_u2326, c_Polynomial_Omonom(_u2326, _u2327, _u2328)), _u2329) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2326), _u2327), hAPP(hAPP(c_Power_Opower__class_Opower(_u2326), _u2329), _u2328))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__pCons__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__pCons__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2330)), _u2331), c_Polynomial_OpCons(_u2330, _u2332, _u2333)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2330), c_Polynomial_Osmult(_u2330, _u2332, _u2331), c_Polynomial_OpCons(_u2330, c_Groups_Ozero__class_Ozero(_u2330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2330)), _u2331), _u2333)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__pCons__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__pCons__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2334) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2334)), c_Polynomial_OpCons(_u2334, _u2335, _u2336)), _u2337) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2334), c_Polynomial_Osmult(_u2334, _u2335, _u2337), c_Polynomial_OpCons(_u2334, c_Groups_Ozero__class_Ozero(_u2334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2334)), _u2336), _u2337)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__correct_H ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__correct_H-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2338) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2338)), c_Polynomial_OpCons(_u2338, c_Groups_Ouminus__class_Ouminus(_u2338, _u2339), c_Polynomial_OpCons(_u2338, c_Groups_Oone__class_Oone(_u2338), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2338))))), c_Polynomial_Osynthetic__div(_u2338, _u2340, _u2339)), c_Polynomial_OpCons(_u2338, hAPP(c_Polynomial_Opoly(_u2338, _u2340), _u2339), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2338)))) = _u2340) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pcompose__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pcompose__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2341) | ( c_Polynomial_Opcompose(_u2341, c_Polynomial_OpCons(_u2341, _u2342, _u2343), _u2344) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2341), c_Polynomial_OpCons(_u2341, _u2342, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), _u2344), c_Polynomial_Opcompose(_u2341, _u2343, _u2344)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2345) | ( c_Polynomial_Osynthetic__div(_u2345, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2345)), _u2346) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2345))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pcompose__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pcompose__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2347) | ( c_Polynomial_Opcompose(_u2347, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2347)), _u2348) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2347))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__pcompose ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__pcompose-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2349) | ( hAPP(c_Polynomial_Opoly(_u2349, c_Polynomial_Opcompose(_u2349, _u2350, _u2351)), _u2352) = hAPP(c_Polynomial_Opoly(_u2349, _u2350), hAPP(c_Polynomial_Opoly(_u2349, _u2351), _u2352))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2353) | ( c_Polynomial_Osynthetic__div(_u2353, c_Polynomial_OpCons(_u2353, _u2354, _u2355), _u2356) = c_Polynomial_OpCons(_u2353, hAPP(c_Polynomial_Opoly(_u2353, _u2355), _u2356), c_Polynomial_Osynthetic__div(_u2353, _u2355, _u2356))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__unique ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__unique-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2357) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2357), _u2358, c_Polynomial_Osmult(_u2357, _u2359, _u2360)) != c_Polynomial_OpCons(_u2357, _u2361, _u2360)) | ( _u2361 = hAPP(c_Polynomial_Opoly(_u2357, _u2358), _u2359)) )).
% 15.21/15.40 cnf(fact_synthetic__div__unique-2, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2357) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2357), _u2358, c_Polynomial_Osmult(_u2357, _u2359, _u2360)) != c_Polynomial_OpCons(_u2357, _u2361, _u2360)) | ( _u2360 = c_Polynomial_Osynthetic__div(_u2357, _u2358, _u2359)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_synthetic__div__correct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_synthetic__div__correct-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2362) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2362), _u2363, c_Polynomial_Osmult(_u2362, _u2364, c_Polynomial_Osynthetic__div(_u2362, _u2363, _u2364))) = c_Polynomial_OpCons(_u2362, hAPP(c_Polynomial_Opoly(_u2362, _u2363), _u2364), c_Polynomial_Osynthetic__div(_u2362, _u2363, _u2364))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_of__real_Opos__bounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_of__real_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2367) | ~class_RealVector_Oreal__normed__vector(_u2367) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem21(_u2367)) )).
% 15.21/15.40 cnf(fact_of__real_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2367) | ~class_RealVector_Oreal__normed__vector(_u2367) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2367, c_RealVector_Oof__real(_u2367, _u2365)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2365)), skolem21(_u2367))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__root ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__root-1, axiom, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) != c_Groups_Ozero__class_Ozero(_u2368)) | ( _u2369 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2368))) | ( c_Polynomial_Oorder(_u2368, _u2370, _u2369) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(fact_order__root-2, axiom, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) = c_Groups_Ozero__class_Ozero(_u2368)) | ( _u2369 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2368))) )).
% 15.21/15.40 cnf(fact_order__root-3, axiom, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) = c_Groups_Ozero__class_Ozero(_u2368)) | ( c_Polynomial_Oorder(_u2368, _u2370, _u2369) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2371) | c_Orderings_Oord__class_Oless__eq(_u2371, _u2372, _u2372) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096-1, axiom, ( ( skolem22 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096-2, axiom, ( ( skolem23 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096-3, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem24), skolem22), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.40 cnf(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096-4, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2373) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _u2373), skolem22)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, skolem23, skolem24)), _u2373)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2380, _u2379), _u2381, _u2382) | c_Orderings_Oord__class_Oless__eq(_u2379, hAPP(_u2381, _u2377), hAPP(_u2382, _u2377)) )).
% 15.21/15.40 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2379) | ~c_Orderings_Oord__class_Oless__eq(_u2379, hAPP(_u2381, skolem25(_u2382, _u2381, _u2380, _u2379)), hAPP(_u2382, skolem25(_u2382, _u2381, _u2380, _u2379))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2380, _u2379), _u2381, _u2382) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2383) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2385) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2385, _u2384) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2386) | ( _u2387 != _u2388) | c_Orderings_Oord__class_Oless__eq(_u2386, _u2387, _u2388) )).
% 15.21/15.40 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2386) | ( _u2387 != _u2388) | c_Orderings_Oord__class_Oless__eq(_u2386, _u2388, _u2387) )).
% 15.21/15.40 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2386) | ~c_Orderings_Oord__class_Oless__eq(_u2386, _u2387, _u2388) | ~c_Orderings_Oord__class_Oless__eq(_u2386, _u2388, _u2387) | ( _u2387 = _u2388) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2389) | ( _u2390 != _u2391) | c_Orderings_Oord__class_Oless__eq(_u2389, _u2390, _u2391) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2392) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, _u2392), _u2394, _u2395) | c_Orderings_Oord__class_Oless__eq(_u2392, hAPP(_u2394, _u2396), hAPP(_u2395, _u2396)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u2397) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2398, _u2399) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2399, _u2398) | ( _u2399 = _u2398) )).
% 15.21/15.40 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2397) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2398, _u2399) | ( _u2399 != _u2398) | c_Orderings_Oord__class_Oless__eq(_u2397, _u2399, _u2398) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2400) | ( _u2401 != _u2402) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2402, _u2403) | c_Orderings_Oord__class_Oless__eq(_u2400, _u2401, _u2403) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2404) | ( _u2405 != _u2406) | ~c_Orderings_Oord__class_Oless__eq(_u2404, _u2407, _u2406) | c_Orderings_Oord__class_Oless__eq(_u2404, _u2407, _u2405) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2410) | ( _u2410 != _u2411) | c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2411) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2412) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2413, _u2414) | ( _u2413 != _u2415) | c_Orderings_Oord__class_Oless__eq(_u2412, _u2415, _u2414) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2416) | ~c_Orderings_Oord__class_Oless__eq(_u2416, _u2417, _u2418) | ~c_Orderings_Oord__class_Oless__eq(_u2416, _u2418, _u2417) | ( _u2417 = _u2418) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2419) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2421) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2421, _u2422) | c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2422) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2423) | ~c_Orderings_Oord__class_Oless__eq(_u2423, _u2424, _u2425) | ~c_Orderings_Oord__class_Oless__eq(_u2423, _u2425, _u2424) | ( _u2425 = _u2424) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2426) | ~c_Orderings_Oord__class_Oless__eq(_u2426, _u2427, _u2428) | ~c_Orderings_Oord__class_Oless__eq(_u2426, _u2429, _u2427) | c_Orderings_Oord__class_Oless__eq(_u2426, _u2429, _u2428) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2430) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, _u2430), _u2432, _u2433) | c_Orderings_Oord__class_Oless__eq(_u2430, hAPP(_u2432, _u2434), hAPP(_u2433, _u2434)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2435) | c_Orderings_Oord__class_Oless__eq(_u2435, _u2436, _u2437) | c_Orderings_Oord__class_Oless__eq(_u2435, _u2437, _u2436) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2438) | c_Orderings_Oord__class_Oless(_u2438, _u2439, _u2440) | ( _u2439 = _u2440) | c_Orderings_Oord__class_Oless(_u2438, _u2440, _u2439) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u2441) | ~c_Orderings_Oord__class_Oless(_u2441, _u2442, _u2443) | ~c_Orderings_Oord__class_Oless(_u2441, _u2443, _u2442) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u2444) | ~c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2446) | ~c_Orderings_Oord__class_Oless(_u2444, _u2447, _u2445) | c_Orderings_Oord__class_Oless(_u2444, _u2447, _u2446) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2448) | ~c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2450) | ~c_Orderings_Oord__class_Oless(_u2448, _u2450, _u2451) | c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2451) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2452) | ~c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2454) | ( _u2453 != _u2455) | c_Orderings_Oord__class_Oless(_u2452, _u2455, _u2454) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2456) | ~c_Orderings_Oord__class_Oless(_u2456, _u2457, _u2458) | ( _u2458 != _u2459) | c_Orderings_Oord__class_Oless(_u2456, _u2457, _u2459) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u2460) | ( _u2461 != _u2462) | ~c_Orderings_Oord__class_Oless(_u2460, _u2463, _u2462) | c_Orderings_Oord__class_Oless(_u2460, _u2463, _u2461) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u2464) | ( _u2465 != _u2466) | ~c_Orderings_Oord__class_Oless(_u2464, _u2466, _u2467) | c_Orderings_Oord__class_Oless(_u2464, _u2465, _u2467) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u2468) | ~c_Orderings_Oord__class_Oless(_u2468, _u2469, _u2470) | ~c_Orderings_Oord__class_Oless(_u2468, _u2470, _u2469) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u2471) | ~c_Orderings_Oord__class_Oless(_u2471, _u2472, _u2473) | ~c_Orderings_Oord__class_Oless(_u2471, _u2473, _u2472) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u2474) | ~c_Orderings_Oord__class_Oless(_u2474, _u2475, _u2476) | ( _u2476 != _u2475) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u2477) | ~c_Orderings_Oord__class_Oless(_u2477, _u2478, _u2479) | ( _u2478 != _u2479) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u2480) | ~c_Orderings_Oord__class_Oless(_u2480, _u2481, _u2482) | ~c_Orderings_Oord__class_Oless(_u2480, _u2482, _u2481) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u2483) | ~c_Orderings_Oord__class_Oless(_u2483, _u2484, _u2485) | ~c_Orderings_Oord__class_Oless(_u2483, _u2485, _u2484) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u2486) | ~c_Orderings_Oord__class_Oless(_u2486, _u2487, _u2488) | ( _u2487 != _u2488) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u2489) | ( _u2490 = _u2491) | c_Orderings_Oord__class_Oless(_u2489, _u2490, _u2491) | c_Orderings_Oord__class_Oless(_u2489, _u2491, _u2490) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u2492) | c_Orderings_Oord__class_Oless(_u2492, _u2493, _u2494) | c_Orderings_Oord__class_Oless(_u2492, _u2494, _u2493) | ( _u2494 = _u2493) )).
% 15.21/15.40 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u2492) | c_Orderings_Oord__class_Oless(_u2492, _u2493, _u2494) | ( _u2494 != _u2493) | ~c_Orderings_Oord__class_Oless(_u2492, _u2494, _u2493) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2495) | c_Orderings_Oord__class_Oless(_u2495, _u2496, _u2497) | ( _u2496 = _u2497) | c_Orderings_Oord__class_Oless(_u2495, _u2497, _u2496) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2498) | c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | c_Orderings_Oord__class_Oless(_u2498, _u2500, _u2499) | ( _u2499 = _u2500) )).
% 15.21/15.40 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u2498) | ~c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | ~c_Orderings_Oord__class_Oless(_u2498, _u2500, _u2499) )).
% 15.21/15.40 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u2498) | ~c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | ( _u2499 != _u2500) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 = _u2503) | c_Orderings_Oord__class_Oless(_u2501, _u2502, _u2503) | c_Orderings_Oord__class_Oless(_u2501, _u2503, _u2502) )).
% 15.21/15.40 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 != _u2503) | ~c_Orderings_Oord__class_Oless(_u2501, _u2502, _u2503) )).
% 15.21/15.40 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 != _u2503) | ~c_Orderings_Oord__class_Oless(_u2501, _u2503, _u2502) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u2504) | ~c_Orderings_Oord__class_Oless(_u2504, _u2505, _u2505) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2506) | ~c_Orderings_Oord__class_Oless__eq(_u2506, _u2507, _u2508) | ~c_Orderings_Oord__class_Oless(_u2506, _u2509, _u2507) | c_Orderings_Oord__class_Oless(_u2506, _u2509, _u2508) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, _u2512) | ~c_Orderings_Oord__class_Oless(_u2510, _u2512, _u2513) | c_Orderings_Oord__class_Oless(_u2510, _u2511, _u2513) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2514) | ~c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2516) | ~c_Orderings_Oord__class_Oless__eq(_u2514, _u2517, _u2515) | c_Orderings_Oord__class_Oless(_u2514, _u2517, _u2516) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2518) | ~c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2520) | ~c_Orderings_Oord__class_Oless__eq(_u2518, _u2520, _u2521) | c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2521) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2522) | ~c_Orderings_Oord__class_Oless__eq(_u2522, _u2523, _u2524) | ( _u2524 = _u2523) | c_Orderings_Oord__class_Oless(_u2522, _u2523, _u2524) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2525) | ~c_Orderings_Oord__class_Oless__eq(_u2525, _u2526, _u2527) | ( _u2526 = _u2527) | c_Orderings_Oord__class_Oless(_u2525, _u2526, _u2527) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2528) | ~c_Orderings_Oord__class_Oless__eq(_u2528, _u2529, _u2530) | c_Orderings_Oord__class_Oless(_u2528, _u2529, _u2530) | ( _u2529 = _u2530) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2531) | ~c_Orderings_Oord__class_Oless__eq(_u2531, _u2532, _u2533) | c_Orderings_Oord__class_Oless(_u2531, _u2532, _u2533) | ( _u2532 = _u2533) )).
% 15.21/15.40 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2531) | ~c_Orderings_Oord__class_Oless__eq(_u2531, _u2532, _u2533) | ( _u2532 != _u2533) | ~c_Orderings_Oord__class_Oless(_u2531, _u2532, _u2533) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2534) | ~c_Orderings_Oord__class_Oless(_u2534, _u2535, _u2536) | c_Orderings_Oord__class_Oless__eq(_u2534, _u2535, _u2536) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_leD ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2537) | ~c_Orderings_Oord__class_Oless__eq(_u2537, _u2538, _u2539) | ~c_Orderings_Oord__class_Oless(_u2537, _u2539, _u2538) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2540) | ( _u2541 = _u2542) | ~c_Orderings_Oord__class_Oless__eq(_u2540, _u2542, _u2541) | c_Orderings_Oord__class_Oless(_u2540, _u2542, _u2541) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2543) | ( _u2544 = _u2545) | ~c_Orderings_Oord__class_Oless__eq(_u2543, _u2544, _u2545) | c_Orderings_Oord__class_Oless(_u2543, _u2544, _u2545) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2546) | c_Orderings_Oord__class_Oless(_u2546, _u2547, _u2548) | ~c_Orderings_Oord__class_Oless__eq(_u2546, _u2547, _u2548) | ( _u2547 = _u2548) )).
% 15.21/15.40 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2546) | c_Orderings_Oord__class_Oless(_u2546, _u2547, _u2548) | ( _u2547 != _u2548) | c_Orderings_Oord__class_Oless__eq(_u2546, _u2547, _u2548) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2549) | c_Orderings_Oord__class_Oless__eq(_u2549, _u2550, _u2551) | c_Orderings_Oord__class_Oless(_u2549, _u2551, _u2550) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_leI ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2552) | c_Orderings_Oord__class_Oless(_u2552, _u2553, _u2554) | c_Orderings_Oord__class_Oless__eq(_u2552, _u2554, _u2553) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2555) | ~c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | c_Orderings_Oord__class_Oless(_u2555, _u2556, _u2557) | ( _u2556 = _u2557) )).
% 15.21/15.40 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2555) | c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | ~c_Orderings_Oord__class_Oless(_u2555, _u2556, _u2557) )).
% 15.21/15.40 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2555) | c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | ( _u2556 != _u2557) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) | c_Orderings_Oord__class_Oless__eq(_u2558, _u2559, _u2560) )).
% 15.21/15.40 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) | ~c_Orderings_Oord__class_Oless__eq(_u2558, _u2560, _u2559) )).
% 15.21/15.40 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless__eq(_u2558, _u2559, _u2560) | c_Orderings_Oord__class_Oless__eq(_u2558, _u2560, _u2559) | c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) | c_Orderings_Oord__class_Oless__eq(_u2561, _u2562, _u2563) )).
% 15.21/15.40 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) | ( _u2562 != _u2563) )).
% 15.21/15.40 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless__eq(_u2561, _u2562, _u2563) | ( _u2562 = _u2563) | c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2564) | c_Orderings_Oord__class_Oless__eq(_u2564, _u2565, _u2566) | c_Orderings_Oord__class_Oless(_u2564, _u2566, _u2565) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2567) | c_Orderings_Oord__class_Oless__eq(_u2567, _u2568, _u2569) | c_Orderings_Oord__class_Oless(_u2567, _u2569, _u2568) )).
% 15.21/15.40 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2567) | ~c_Orderings_Oord__class_Oless(_u2567, _u2569, _u2568) | ~c_Orderings_Oord__class_Oless__eq(_u2567, _u2568, _u2569) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2570) | c_Orderings_Oord__class_Oless(_u2570, _u2571, _u2572) | c_Orderings_Oord__class_Oless__eq(_u2570, _u2572, _u2571) )).
% 15.21/15.40 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2570) | ~c_Orderings_Oord__class_Oless__eq(_u2570, _u2572, _u2571) | ~c_Orderings_Oord__class_Oless(_u2570, _u2571, _u2572) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__add__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__add__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2573) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2573, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2573), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u2574) | ( c_Power_Opower__class_Opower(_u2574) = c_Power_Opower_Opower(_u2574, c_Groups_Oone__class_Oone(_u2574), c_Groups_Otimes__class_Otimes(_u2574))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2577, _u2578) )).
% 15.21/15.40 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2578, _u2577) )).
% 15.21/15.40 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2577, _u2578) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2578, _u2577) | c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__zero-1, axiom, ( ( c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_zero__le__natceiling ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_zero__le__natceiling-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatceiling(_u2579)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__mono ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2580, _u2581) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2580), c_RComplete_Onatceiling(_u2581)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__one-1, axiom, ( ( c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2582, _u2583, _u2584), _u2585), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2583) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__neg ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2586, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u2586) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__le__eq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__le__eq__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2588), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2588, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(fact_natceiling__le__eq__one-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2589, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2589), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_of__real_Ononneg__bounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_of__real_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2592) | ~class_RealVector_Oreal__normed__vector(_u2592) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem26(_u2592)) )).
% 15.21/15.40 cnf(fact_of__real_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2592) | ~class_RealVector_Oreal__normed__vector(_u2592) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2592, c_RealVector_Oof__real(_u2592, _u2590)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2590)), skolem26(_u2592))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_lemmaCauchy ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_lemmaCauchy-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2595) | ~class_Orderings_Oord(_u2596) | ~c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, _u2594) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2594)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2597)))) | c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, skolem27(_u2598, _u2597, _u2596, _u2595)) )).
% 15.21/15.40 cnf(fact_lemmaCauchy-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2595) | ~class_Orderings_Oord(_u2596) | ~c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, _u2594) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2594)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2597)))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, c_Groups_Ominus__class_Ominus(_u2595, hAPP(_u2598, _u2597), hAPP(_u2598, skolem27(_u2598, _u2597, _u2596, _u2595)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__left_Opos__bounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__left_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2601) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem28(_u2602, _u2601)) )).
% 15.21/15.40 cnf(fact_mult__left_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2601) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2601, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2601), _u2599), _u2602)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2601, _u2599)), skolem28(_u2602, _u2601))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__right_Opos__bounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__right_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2605) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem29(_u2606, _u2605)) )).
% 15.21/15.40 cnf(fact_mult__right_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2605) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2605, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2605, _u2603)), skolem29(_u2606, _u2605))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult_Opos__bounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2610) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem30(_u2610)) )).
% 15.21/15.40 cnf(fact_mult_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2610) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2610), _u2608), _u2607)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2610, _u2608)), c_RealVector_Onorm__class_Onorm(_u2610, _u2607))), skolem30(_u2610))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-1, axiom, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem31) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.40 cnf(fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-2, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, skolem31), _u2611) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2611))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__add__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__add__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2613) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2613, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2613), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_tsub__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2616, _u2618) | ( c_Nat__Transfer_Otsub(_u2618, _u2616) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2618, _u2616)) )).
% 15.21/15.40 cnf(fact_tsub__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2617, _u2619) | ( c_Nat__Transfer_Otsub(_u2619, _u2617) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__zero-1, axiom, ( ( c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__one-1, axiom, ( ( c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__mono ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2620, _u2621) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u2620), c_RComplete_Onatfloor(_u2621)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_zero__le__natfloor ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_zero__le__natfloor-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatfloor(_u2622)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__neg ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2623, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u2623) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2624) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2625) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_u2624, _u2625)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__natfloor__eq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__natfloor__eq__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2627)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2627) )).
% 15.21/15.40 cnf(fact_le__natfloor__eq__one-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2628) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2628)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_tsub__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2629, _u2630) | ( c_Nat__Transfer_Otsub(_u2630, _u2629) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2630, _u2629)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__mult__natfloor ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__mult__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2631) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2632) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2631)), c_RComplete_Onatfloor(_u2632)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2631), _u2632))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2633, _u2634) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2633, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2634, _u2635)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, _u2637) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, _u2637)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2639, _u2640) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2639, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2641, _u2640)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, _u2643) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2643, _u2644)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2645, _u2646) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2645, _u2646) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2647), _u2648) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2648, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2647), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatceiling(_u2648) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2647, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pos__poly__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pos__poly__pCons-1, axiom, ( ~class_Rings_Olinordered__idom(_u2649) | ~c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | c_Polynomial_Opos__poly(_u2649, _u2651) | ( _u2651 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2649))) )).
% 15.21/15.40 cnf(fact_pos__poly__pCons-2, axiom, ( ~class_Rings_Olinordered__idom(_u2649) | ~c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | c_Polynomial_Opos__poly(_u2649, _u2651) | c_Orderings_Oord__class_Oless(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) )).
% 15.21/15.40 cnf(fact_pos__poly__pCons-3, axiom, ( ~class_Rings_Olinordered__idom(_u2649) | c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | ~c_Polynomial_Opos__poly(_u2649, _u2651) )).
% 15.21/15.40 cnf(fact_pos__poly__pCons-4, axiom, ( ~class_Rings_Olinordered__idom(_u2649) | c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | ( _u2651 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2649))) | ~c_Orderings_Oord__class_Oless(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__ge__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2652)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__diff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2653, _u2654) | ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2654, _u2653)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2654), c_RealDef_Oreal(tc_Nat_Onat, _u2653))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__less__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__less__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2657), c_RealDef_Oreal(tc_Nat_Onat, _u2659)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2657, _u2659) )).
% 15.21/15.40 cnf(fact_real__of__nat__less__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2658, _u2660) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2658), c_RealDef_Oreal(tc_Nat_Onat, _u2660)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_not__real__of__nat__less__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_not__real__of__nat__less__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2661), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_abs__real__of__nat__cancel ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_abs__real__of__nat__cancel-1, axiom, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2662)) = c_RealDef_Oreal(tc_Nat_Onat, _u2662)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__1-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_power__real__of__nat ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_power__real__of__nat-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2663)), _u2664) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2663), _u2664))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__power ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__power-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2665), _u2666)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2665)), _u2666)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__add-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2667, _u2668)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2667), c_RealDef_Oreal(tc_Nat_Onat, _u2668))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__inject ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__inject-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2671) != c_RealDef_Oreal(tc_Nat_Onat, _u2673)) | ( _u2671 = _u2673) )).
% 15.21/15.40 cnf(fact_real__of__nat__inject-2, axiom, ( ( _u2672 != _u2674) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2672) = c_RealDef_Oreal(tc_Nat_Onat, _u2674)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__zero__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__zero__iff-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2676) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(fact_real__of__nat__zero__iff-2, axiom, ( ( _u2677 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2677) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__zero-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_not__pos__poly__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_not__pos__poly__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2678) | ~c_Polynomial_Opos__poly(_u2678, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2678))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__mult-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2679), _u2680)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2679)), c_RealDef_Oreal(tc_Nat_Onat, _u2680))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pos__poly__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pos__poly__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u2681) | ~c_Polynomial_Opos__poly(_u2681, _u2682) | ~c_Polynomial_Opos__poly(_u2681, _u2683) | c_Polynomial_Opos__poly(_u2681, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2681)), _u2682), _u2683)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pos__poly__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pos__poly__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2684) | ~c_Polynomial_Opos__poly(_u2684, _u2685) | ~c_Polynomial_Opos__poly(_u2684, _u2686) | c_Polynomial_Opos__poly(_u2684, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2684), _u2685, _u2686)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__le__zero__cancel__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__le__zero__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2688), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2688 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(fact_real__of__nat__le__zero__cancel__iff-2, axiom, ( ( _u2689 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2689), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__natceiling__ge ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__natceiling__ge-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2690, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u2690))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__le__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__le__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2693), c_RealDef_Oreal(tc_Nat_Onat, _u2695)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2693, _u2695) )).
% 15.21/15.40 cnf(fact_real__of__nat__le__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2694, _u2696) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2694), c_RealDef_Oreal(tc_Nat_Onat, _u2696)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__real__of__nat ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__real__of__nat-1, axiom, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u2697)) = _u2697) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__eq__poly__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__eq__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2698) | ~c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ( _u2699 = _u2700) | c_Polynomial_Opos__poly(_u2698, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2698), _u2700, _u2699)) )).
% 15.21/15.40 cnf(fact_less__eq__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2698) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ( _u2699 != _u2700) )).
% 15.21/15.40 cnf(fact_less__eq__poly__def-3, axiom, ( ~class_Rings_Olinordered__idom(_u2698) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ~c_Polynomial_Opos__poly(_u2698, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2698), _u2700, _u2699)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__real__of__nat ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__real__of__nat-1, axiom, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u2701)) = _u2701) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__natfloor__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__natfloor__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2702) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2702)), _u2702) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__natfloor ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2703), _u2704) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2703, c_RComplete_Onatfloor(_u2704)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2705, c_RealDef_Oreal(tc_Nat_Onat, _u2706)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2705), _u2706) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__power ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__power-1, axiom, ( ( _u2707 != c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2707))) | ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2707), _u2708)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_RComplete_Onatfloor(_u2707)), _u2708)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__of__nat__gt__zero__cancel__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__of__nat__gt__zero__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2710)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2710) )).
% 15.21/15.40 cnf(fact_real__of__nat__gt__zero__cancel__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2711) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2711)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_nat__less__real__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_nat__less__real__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2714, _u2716) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2714), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u2716)) )).
% 15.21/15.40 cnf(fact_nat__less__real__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2715), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u2717)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2715, _u2717) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_nat__le__real__less ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_nat__le__real__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2720, _u2722) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2720), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2722), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.21/15.40 cnf(fact_nat__le__real__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2721), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2723), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2721, _u2723) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_le__natfloor__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_le__natfloor__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2724) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2725, c_RComplete_Onatfloor(_u2724)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2725), _u2724) )).
% 15.21/15.40 cnf(fact_le__natfloor__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2724) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2725), _u2724) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2725, c_RComplete_Onatfloor(_u2724)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_pos__poly__total ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_pos__poly__total-1, axiom, ( ~class_Rings_Olinordered__idom(_u2726) | ( _u2727 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2726))) | c_Polynomial_Opos__poly(_u2726, _u2727) | c_Polynomial_Opos__poly(_u2726, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2726), _u2727)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__le__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__le__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2728) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2728), _u2729) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2728, c_RealDef_Oreal(tc_Nat_Onat, _u2729)) )).
% 15.21/15.40 cnf(fact_natceiling__le__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2728) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2728, c_RealDef_Oreal(tc_Nat_Onat, _u2729)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2728), _u2729) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__natfloor__add__one__gt ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__natfloor__add__one__gt-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2730, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2730)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__subtract ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__subtract-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2731), _u2732) | ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2732, c_RealDef_Oreal(tc_Nat_Onat, _u2731))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2732), _u2731)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_real__natfloor__gt__diff__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_real__natfloor__gt__diff__one-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2733, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2733))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__subtract ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__subtract-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2734), _u2735) | ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2735, c_RealDef_Oreal(tc_Nat_Onat, _u2734))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2735), _u2734)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__natfloor ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2736) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2736, c_RealDef_Oreal(tc_Nat_Onat, _u2737)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_RComplete_Onatfloor(_u2736), _u2737) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2738) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2738, c_RealDef_Oreal(tc_Nat_Onat, _u2739))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2738), _u2739)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_ge__natfloor__plus__one__imp__gt ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_ge__natfloor__plus__one__imp__gt-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2740), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2741) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2740, c_RealDef_Oreal(tc_Nat_Onat, _u2741)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natfloor__eq ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natfloor__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2742), _u2743) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2743, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2742), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatfloor(_u2743) = _u2742) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_natceiling__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_natceiling__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2744) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2744, c_RealDef_Oreal(tc_Nat_Onat, _u2745))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2744), _u2745)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_less__poly__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_less__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2746) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2746), _u2747, _u2748) | c_Polynomial_Opos__poly(_u2746, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2746), _u2748, _u2747)) )).
% 15.21/15.40 cnf(fact_less__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2746) | ~c_Polynomial_Opos__poly(_u2746, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2746), _u2748, _u2747)) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2746), _u2747, _u2748) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_LIMSEQ__inverse__realpow__zero__lemma ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_LIMSEQ__inverse__realpow__zero__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2749) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2750)), _u2749), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2749, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), _u2750)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_reals__Archimedean6 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_reals__Archimedean6-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2752) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, skolem32(_u2752), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u2752) )).
% 15.21/15.40 cnf(fact_reals__Archimedean6-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2752) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2752, c_RealDef_Oreal(tc_Nat_Onat, skolem32(_u2752))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_Limits_Ominus__diff__minus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_Limits_Ominus__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u2753) | ( c_Groups_Ominus__class_Ominus(_u2753, c_Groups_Ouminus__class_Ouminus(_u2753, _u2754), c_Groups_Ouminus__class_Ouminus(_u2753, _u2755)) = c_Groups_Ouminus__class_Ouminus(_u2753, c_Groups_Ominus__class_Ominus(_u2753, _u2754, _u2755))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_poly__cont ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_poly__cont-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2758) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem33(_u2760, _u2759, _u2758)) )).
% 15.21/15.40 cnf(fact_poly__cont-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2758) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u2756, _u2759))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u2756, _u2759)), skolem33(_u2760, _u2759, _u2758)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2760), _u2756), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2760), _u2759))), _u2758) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_decseq__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_decseq__def-1, axiom, ( ~class_Orderings_Oorder(_u2765) | ~c_SEQ_Odecseq(_u2765, _u2766) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2762, _u2761) | c_Orderings_Oord__class_Oless__eq(_u2765, hAPP(_u2766, _u2761), hAPP(_u2766, _u2762)) )).
% 15.21/15.40 cnf(fact_decseq__def-2, axiom, ( ~class_Orderings_Oorder(_u2765) | c_SEQ_Odecseq(_u2765, _u2766) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem34(_u2766, _u2765), skolem35(_u2766, _u2765)) )).
% 15.21/15.40 cnf(fact_decseq__def-3, axiom, ( ~class_Orderings_Oorder(_u2765) | c_SEQ_Odecseq(_u2765, _u2766) | ~c_Orderings_Oord__class_Oless__eq(_u2765, hAPP(_u2766, skolem35(_u2766, _u2765)), hAPP(_u2766, skolem34(_u2766, _u2765))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2767) | ~c_Orderings_Oord__class_Oless__eq(_u2767, c_Groups_Ouminus__class_Ouminus(_u2767, _u2768), c_Groups_Ouminus__class_Ouminus(_u2767, _u2769)) | c_Orderings_Oord__class_Oless__eq(_u2767, _u2769, _u2768) )).
% 15.21/15.40 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2767) | ~c_Orderings_Oord__class_Oless__eq(_u2767, _u2769, _u2768) | c_Orderings_Oord__class_Oless__eq(_u2767, c_Groups_Ouminus__class_Ouminus(_u2767, _u2768), c_Groups_Ouminus__class_Ouminus(_u2767, _u2769)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2770) | ~c_Orderings_Oord__class_Oless__eq(_u2770, _u2771, _u2772) | c_Orderings_Oord__class_Oless__eq(_u2770, c_Groups_Ouminus__class_Ouminus(_u2770, _u2772), c_Groups_Ouminus__class_Ouminus(_u2770, _u2771)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u2773) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2774, _u2773), _u2775, _u2776), _u2777) = c_Groups_Ominus__class_Ominus(_u2773, hAPP(_u2775, _u2777), hAPP(_u2776, _u2777))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2778) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2779) = _u2779) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2780) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2780), _u2781), _u2781) = _u2781) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2782) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), _u2784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), _u2784)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2785) | ( c_Groups_Ouminus__class_Ouminus(_u2785, c_Groups_Ouminus__class_Ouminus(_u2785, _u2786)) = _u2786) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u2787) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2788, _u2787), _u2789), _u2790) = c_Groups_Ouminus__class_Ouminus(_u2787, hAPP(_u2789, _u2790))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2791) | ( c_Groups_Ouminus__class_Ouminus(_u2791, _u2792) != c_Groups_Ouminus__class_Ouminus(_u2791, _u2793)) | ( _u2792 = _u2793) )).
% 15.21/15.40 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u2791) | ( _u2792 != _u2793) | ( c_Groups_Ouminus__class_Ouminus(_u2791, _u2792) = c_Groups_Ouminus__class_Ouminus(_u2791, _u2793)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_of__real_Obounded ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_of__real_Obounded-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2796) | ~class_RealVector_Oreal__normed__vector(_u2796) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2796, c_RealVector_Oof__real(_u2796, _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2794)), skolem36(_u2796))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__poly__def ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) )).
% 15.21/15.40 cnf(fact_sgn__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2797), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797)), _u2798) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2797))) )).
% 15.21/15.40 cnf(fact_sgn__poly__def-3, axiom, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2797), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797)), _u2798) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2797), c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2797)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Osgn__class_Osgn(_u2799, _u2800), c_Groups_Ozero__class_Ozero(_u2799)) | c_Orderings_Oord__class_Oless(_u2799, _u2800, c_Groups_Ozero__class_Ozero(_u2799)) )).
% 15.21/15.40 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, _u2800, c_Groups_Ozero__class_Ozero(_u2799)) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Osgn__class_Osgn(_u2799, _u2800), c_Groups_Ozero__class_Ozero(_u2799)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), c_Groups_Osgn__class_Osgn(_u2801, _u2802)) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) )).
% 15.21/15.40 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), c_Groups_Osgn__class_Osgn(_u2801, _u2802)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u2803) | ( c_Groups_Osgn__class_Osgn(_u2803, c_Groups_Oone__class_Oone(_u2803)) = c_Groups_Oone__class_Oone(_u2803)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__minus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__minus-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2804) | ( c_Groups_Osgn__class_Osgn(_u2804, c_Groups_Ouminus__class_Ouminus(_u2804, _u2805)) = c_Groups_Ouminus__class_Ouminus(_u2804, c_Groups_Osgn__class_Osgn(_u2804, _u2805))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2806) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), c_Groups_Osgn__class_Osgn(_u2806, _u2807)), c_Groups_Oabs__class_Oabs(_u2806, _u2807)) = _u2807) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2808) | ( c_Groups_Oabs__class_Oabs(_u2808, _u2809) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2808), _u2809), c_Groups_Osgn__class_Osgn(_u2808, _u2809))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__of__real ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__of__real-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u2810) | ( c_Groups_Osgn__class_Osgn(_u2810, c_RealVector_Oof__real(_u2810, _u2811)) = c_RealVector_Oof__real(_u2810, c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2811))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2812) | ( c_Groups_Osgn__class_Osgn(_u2812, c_Groups_Osgn__class_Osgn(_u2812, _u2813)) = c_Groups_Osgn__class_Osgn(_u2812, _u2813)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2814) | ( c_Groups_Osgn__class_Osgn(_u2814, c_Groups_Ozero__class_Ozero(_u2814)) = c_Groups_Ozero__class_Ozero(_u2814)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2815) | ( c_Groups_Osgn__class_Osgn(_u2815, c_Groups_Ozero__class_Ozero(_u2815)) = c_Groups_Ozero__class_Ozero(_u2815)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__zero__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2816) | ( c_Groups_Osgn__class_Osgn(_u2816, _u2817) != c_Groups_Ozero__class_Ozero(_u2816)) | ( _u2817 = c_Groups_Ozero__class_Ozero(_u2816)) )).
% 15.21/15.40 cnf(fact_sgn__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2816) | ( _u2817 != c_Groups_Ozero__class_Ozero(_u2816)) | ( c_Groups_Osgn__class_Osgn(_u2816, _u2817) = c_Groups_Ozero__class_Ozero(_u2816)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2818) | ( c_Groups_Osgn__class_Osgn(_u2818, _u2819) != c_Groups_Ozero__class_Ozero(_u2818)) | ( _u2819 = c_Groups_Ozero__class_Ozero(_u2818)) )).
% 15.21/15.40 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2818) | ( _u2819 != c_Groups_Ozero__class_Ozero(_u2818)) | ( c_Groups_Osgn__class_Osgn(_u2818, _u2819) = c_Groups_Ozero__class_Ozero(_u2818)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u2820) | ( c_Groups_Osgn__class_Osgn(_u2820, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2820), _u2821), _u2822)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2820), c_Groups_Osgn__class_Osgn(_u2820, _u2821)), c_Groups_Osgn__class_Osgn(_u2820, _u2822))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2823), _u2824), _u2825)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2823), c_Groups_Osgn__class_Osgn(_u2823, _u2824)), c_Groups_Osgn__class_Osgn(_u2823, _u2825))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2826) | ( c_Groups_Osgn__class_Osgn(_u2826, _u2827) != c_Groups_Oone__class_Oone(_u2826)) | c_Orderings_Oord__class_Oless(_u2826, c_Groups_Ozero__class_Ozero(_u2826), _u2827) )).
% 15.21/15.40 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u2826) | ~c_Orderings_Oord__class_Oless(_u2826, c_Groups_Ozero__class_Ozero(_u2826), _u2827) | ( c_Groups_Osgn__class_Osgn(_u2826, _u2827) = c_Groups_Oone__class_Oone(_u2826)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2828) | ~c_Orderings_Oord__class_Oless(_u2828, c_Groups_Ozero__class_Ozero(_u2828), _u2829) | ( c_Groups_Osgn__class_Osgn(_u2828, _u2829) = c_Groups_Oone__class_Oone(_u2828)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2830) | ( c_Groups_Osgn__class_Osgn(_u2830, _u2831) != c_Groups_Ouminus__class_Ouminus(_u2830, c_Groups_Oone__class_Oone(_u2830))) | c_Orderings_Oord__class_Oless(_u2830, _u2831, c_Groups_Ozero__class_Ozero(_u2830)) )).
% 15.21/15.40 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u2830) | ~c_Orderings_Oord__class_Oless(_u2830, _u2831, c_Groups_Ozero__class_Ozero(_u2830)) | ( c_Groups_Osgn__class_Osgn(_u2830, _u2831) = c_Groups_Ouminus__class_Ouminus(_u2830, c_Groups_Oone__class_Oone(_u2830))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u2832) | ~c_Orderings_Oord__class_Oless(_u2832, _u2833, c_Groups_Ozero__class_Ozero(_u2832)) | ( c_Groups_Osgn__class_Osgn(_u2832, _u2833) = c_Groups_Ouminus__class_Ouminus(_u2832, c_Groups_Oone__class_Oone(_u2832))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 != c_Groups_Ozero__class_Ozero(_u2834)) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Ozero__class_Ozero(_u2834)) )).
% 15.21/15.40 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 = c_Groups_Ozero__class_Ozero(_u2834)) | ~c_Orderings_Oord__class_Oless(_u2834, c_Groups_Ozero__class_Ozero(_u2834), _u2835) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Oone__class_Oone(_u2834)) )).
% 15.21/15.40 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 = c_Groups_Ozero__class_Ozero(_u2834)) | c_Orderings_Oord__class_Oless(_u2834, c_Groups_Ozero__class_Ozero(_u2834), _u2835) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Ouminus__class_Ouminus(_u2834, c_Groups_Oone__class_Oone(_u2834))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_norm__sgn ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_norm__sgn-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2836) | ( _u2837 != c_Groups_Ozero__class_Ozero(_u2836)) | ( c_RealVector_Onorm__class_Onorm(_u2836, c_Groups_Osgn__class_Osgn(_u2836, _u2837)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(fact_norm__sgn-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2836) | ( _u2837 = c_Groups_Ozero__class_Ozero(_u2836)) | ( c_RealVector_Onorm__class_Onorm(_u2836, c_Groups_Osgn__class_Osgn(_u2836, _u2837)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_order__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_order__1-1, axiom, ( ~class_Rings_Oidom(_u2838) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2838), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2838)), c_Polynomial_OpCons(_u2838, c_Groups_Ouminus__class_Ouminus(_u2838, _u2839), c_Polynomial_OpCons(_u2838, c_Groups_Oone__class_Oone(_u2838), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2838))))), c_Polynomial_Oorder(_u2838, _u2839, _u2840)), _u2840) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_offset__poly__pCons ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_offset__poly__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2841) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, c_Polynomial_OpCons(_u2841, _u2842, _u2843), _u2844) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2841), c_Polynomial_Osmult(_u2841, _u2844, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, _u2843, _u2844)), c_Polynomial_OpCons(_u2841, _u2842, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, _u2843, _u2844)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2845) | c_Rings_Odvd__class_Odvd(_u2845, _u2846, c_Groups_Ozero__class_Ozero(_u2845)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ouminus__class_Ouminus(_u2847, _u2849)) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) )).
% 15.21/15.40 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ouminus__class_Ouminus(_u2847, _u2849)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, c_Groups_Ouminus__class_Ouminus(_u2850, _u2851), _u2852) | c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) )).
% 15.21/15.40 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) | c_Rings_Odvd__class_Odvd(_u2850, c_Groups_Ouminus__class_Ouminus(_u2850, _u2851), _u2852) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2853) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2855) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2856) | c_Rings_Odvd__class_Odvd(_u2853, _u2854, c_Groups_Ominus__class_Ominus(_u2853, _u2855, _u2856)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_inf__period_I3_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u2859) | ~class_Rings_Odvd(_u2859) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, _u2861) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, _u2865, _u2862)) | c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, c_Groups_Ominus__class_Ominus(_u2859, _u2865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), _u2863), _u2861)), _u2862)) )).
% 15.21/15.40 cnf(fact_inf__period_I3_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u2859) | ~class_Rings_Odvd(_u2859) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, _u2861) | c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, _u2866, _u2862)) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, c_Groups_Ominus__class_Ominus(_u2859, _u2866, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), _u2864), _u2861)), _u2862)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_inf__period_I4_J-1, axiom, ( ~class_Rings_Ocomm__ring(_u2869) | ~class_Rings_Odvd(_u2869) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, _u2871) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, _u2875, _u2872)) | c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, c_Groups_Ominus__class_Ominus(_u2869, _u2875, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2869), _u2873), _u2871)), _u2872)) )).
% 15.21/15.40 cnf(fact_inf__period_I4_J-2, axiom, ( ~class_Rings_Ocomm__ring(_u2869) | ~class_Rings_Odvd(_u2869) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, _u2871) | c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, _u2876, _u2872)) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, c_Groups_Ominus__class_Ominus(_u2869, _u2876, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2869), _u2874), _u2871)), _u2872)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__dvd__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__dvd__iff-1, axiom, ( ~class_Fields_Ofield(_u2877) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 != c_Groups_Ozero__class_Ozero(_u2877)) | ( _u2880 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) )).
% 15.21/15.40 cnf(fact_smult__dvd__iff-2, axiom, ( ~class_Fields_Ofield(_u2877) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 = c_Groups_Ozero__class_Ozero(_u2877)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.21/15.40 cnf(fact_smult__dvd__iff-3, axiom, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 = c_Groups_Ozero__class_Ozero(_u2877)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.21/15.40 cnf(fact_smult__dvd__iff-4, axiom, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) | ( _u2878 != c_Groups_Ozero__class_Ozero(_u2877)) )).
% 15.21/15.40 cnf(fact_smult__dvd__iff-5, axiom, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_unity__coeff__ex-1, axiom, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), _u2881))) | c_Rings_Odvd__class_Odvd(_u2885, _u2887, c_Groups_Oplus__class_Oplus(_u2885, skolem37(_u2887, _u2886, _u2885), c_Groups_Ozero__class_Ozero(_u2885))) )).
% 15.21/15.40 cnf(fact_unity__coeff__ex-2, axiom, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), _u2881))) | hBOOL(hAPP(_u2886, skolem37(_u2887, _u2886, _u2885))) )).
% 15.21/15.40 cnf(fact_unity__coeff__ex-3, axiom, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~c_Rings_Odvd__class_Odvd(_u2885, _u2887, c_Groups_Oplus__class_Oplus(_u2885, _u2883, c_Groups_Ozero__class_Ozero(_u2885))) | ~hBOOL(hAPP(_u2886, _u2883)) | hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), skolem38(_u2887, _u2886, _u2885)))) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__dvd__cancel ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__dvd__cancel-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2888) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2888), c_Polynomial_Osmult(_u2888, _u2889, _u2890), _u2891) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2888), _u2890, _u2891) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__smult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__smult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2892) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2892), _u2893, _u2894) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2892), _u2893, c_Polynomial_Osmult(_u2892, _u2895, _u2894)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__smult__iff ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__smult__iff-1, axiom, ( ~class_Fields_Ofield(_u2896) | ( _u2897 = c_Groups_Ozero__class_Ozero(_u2896)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, c_Polynomial_Osmult(_u2896, _u2897, _u2899)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, _u2899) )).
% 15.21/15.40 cnf(fact_dvd__smult__iff-2, axiom, ( ~class_Fields_Ofield(_u2896) | ( _u2897 = c_Groups_Ozero__class_Ozero(_u2896)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, _u2899) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, c_Polynomial_Osmult(_u2896, _u2897, _u2899)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_smult__dvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_smult__dvd-1, axiom, ( ~class_Fields_Ofield(_u2900) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2900), _u2901, _u2902) | ( _u2903 = c_Groups_Ozero__class_Ozero(_u2900)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2900), c_Polynomial_Osmult(_u2900, _u2903, _u2901), _u2902) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__smult__cancel ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__smult__cancel-1, axiom, ( ~class_Fields_Ofield(_u2904) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2904), _u2905, c_Polynomial_Osmult(_u2904, _u2906, _u2907)) | ( _u2906 = c_Groups_Ozero__class_Ozero(_u2904)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2904), _u2905, _u2907) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2908) | c_Rings_Odvd__class_Odvd(_u2908, _u2909, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2908), _u2909), _u2910)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__triv__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__triv__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2911) | c_Rings_Odvd__class_Odvd(_u2911, _u2912, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2913), _u2912)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__mult2 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__mult2-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2914) | ~c_Rings_Odvd__class_Odvd(_u2914, _u2915, _u2916) | c_Rings_Odvd__class_Odvd(_u2914, _u2915, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2914), _u2916), _u2917)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2918) | ~c_Rings_Odvd__class_Odvd(_u2918, _u2919, _u2920) | c_Rings_Odvd__class_Odvd(_u2918, _u2919, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2918), _u2921), _u2920)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_mult__dvd__mono ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_mult__dvd__mono-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2922) | ~c_Rings_Odvd__class_Odvd(_u2922, _u2923, _u2924) | ~c_Rings_Odvd__class_Odvd(_u2922, _u2925, _u2926) | c_Rings_Odvd__class_Odvd(_u2922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2922), _u2923), _u2925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2922), _u2924), _u2926)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvdI ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvdI-1, axiom, ( ~class_Rings_Odvd(_u2927) | ( _u2928 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2927), _u2929), _u2930)) | c_Rings_Odvd__class_Odvd(_u2927, _u2929, _u2928) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__mult__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__mult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2931) | ~c_Rings_Odvd__class_Odvd(_u2931, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2931), _u2932), _u2933), _u2934) | c_Rings_Odvd__class_Odvd(_u2931, _u2932, _u2934) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__mult__right ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__mult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2935) | ~c_Rings_Odvd__class_Odvd(_u2935, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2935), _u2936), _u2937), _u2938) | c_Rings_Odvd__class_Odvd(_u2935, _u2937, _u2938) )).
% 15.21/15.40
% 15.21/15.40 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 15.21/15.40 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u2939) | ~c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ( _u2940 = c_Groups_Ozero__class_Ozero(_u2939)) | c_Rings_Odvd__class_Odvd(_u2939, _u2941, _u2942) )).
% 15.21/15.40 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u2939) | c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ( _u2940 != c_Groups_Ozero__class_Ozero(_u2939)) )).
% 15.21/15.40 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u2939) | c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ~c_Rings_Odvd__class_Odvd(_u2939, _u2941, _u2942) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2943) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u2943)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2944) | class_Lattices_Oboolean__algebra(tc_fun(_u2945, _u2944)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u2946) | class_Orderings_Opreorder(tc_fun(_u2947, _u2946)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u2948) | class_Orderings_Oorder(tc_fun(_u2949, _u2948)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u2950) | class_Orderings_Oord(tc_fun(_u2951, _u2950)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u2952) | class_Groups_Ouminus(tc_fun(_u2953, _u2952)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u2954) | class_Groups_Ominus(tc_fun(_u2955, _u2954)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero-1, axiom, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__div__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__div__algebra-1, axiom, ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__RealVector_Oreal__algebra__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__RealVector_Oreal__algebra__1-1, axiom, ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Fields_Olinordered__field-1, axiom, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Osemiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Fields_Ofield ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Power_Opower ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Power_Opower-1, axiom, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Ozero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Oidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Groups_Oone ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_RealDef__Oreal__Rings_Odvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_RealDef__Oreal__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__div__algebra ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__div__algebra-1, axiom, ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__algebra__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__RealVector_Oreal__algebra__1-1, axiom, ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Osemiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Fields_Ofield ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Power_Opower ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Power_Opower-1, axiom, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Ozero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Oring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Oidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Groups_Oone ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Complex__Ocomplex__Rings_Odvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Complex__Ocomplex__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( ~class_Rings_Oidom(_u2956) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u2956)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2957) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2957)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2958) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u2958)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2959) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u2959)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2960) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u2960)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2961) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u2961)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2962) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u2962)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2963) | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(_u2963)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2964) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u2964)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2965) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u2965)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2966) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2966)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2967) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u2967)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2968) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u2968)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2969) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u2969)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2970) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u2970)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2971) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u2971)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1-1, axiom, ( ~class_Rings_Olinordered__idom(_u2972) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u2972)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2973) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u2973)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2974) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u2974)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2975) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u2975)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semidom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2976) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u2976)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2977) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u2977)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2978) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u2978)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2979) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u2979)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2980) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u2980)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oordered__ring__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2981) | class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(_u2981)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ono__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2982) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u2982)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2983) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u2983)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2984) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u2984)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Olinordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2985) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u2985)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2986) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u2986)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2987) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u2987)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2988) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u2988)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oab__group__add-1, axiom, ( ~class_Groups_Oab__group__add(_u2989) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u2989)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ozero__neq__one-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2990) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u2990)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2991) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u2991)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Orderings_Opreorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u2992) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u2992)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Orderings_Olinorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u2993) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u2993)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Omonoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2994) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u2994)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2995) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u2995)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Omonoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2996) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u2996)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Osemiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2997) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u2997)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ogroup__add-1, axiom, ( ~class_Groups_Oab__group__add(_u2998) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u2998)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Omult__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2999) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u2999)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring-1, axiom, ( ~class_Rings_Ocomm__ring(_u3000) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u3000)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Orderings_Oorder ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Orderings_Oorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u3001) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u3001)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Int_Oring__char__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u3002) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u3002)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Osemiring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Osemiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3003) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u3003)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Orderings_Oord ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Orderings_Oord-1, axiom, ( ~class_Rings_Olinordered__idom(_u3004) | class_Orderings_Oord(tc_Polynomial_Opoly(_u3004)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ouminus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ouminus-1, axiom, ( ~class_Groups_Oab__group__add(_u3005) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u3005)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Osgn__if-1, axiom, ( ~class_Rings_Olinordered__idom(_u3006) | class_Groups_Osgn__if(tc_Polynomial_Opoly(_u3006)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oabs__if-1, axiom, ( ~class_Rings_Olinordered__idom(_u3007) | class_Groups_Oabs__if(tc_Polynomial_Opoly(_u3007)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3008) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u3008)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ominus ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ominus-1, axiom, ( ~class_Groups_Oab__group__add(_u3009) | class_Groups_Ominus(tc_Polynomial_Opoly(_u3009)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Power_Opower ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Power_Opower-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3010) | class_Power_Opower(tc_Polynomial_Opoly(_u3010)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Ozero ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Ozero-1, axiom, ( ~class_Groups_Ozero(_u3011) | class_Groups_Ozero(tc_Polynomial_Opoly(_u3011)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oring ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oring-1, axiom, ( ~class_Rings_Ocomm__ring(_u3012) | class_Rings_Oring(tc_Polynomial_Opoly(_u3012)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Oidom ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Oidom-1, axiom, ( ~class_Rings_Oidom(_u3013) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3013)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Groups_Oone ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Groups_Oone-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3014) | class_Groups_Oone(tc_Polynomial_Opoly(_u3014)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: arity_Polynomial__Opoly__Rings_Odvd ( axiom ) converted to clauses:
% 15.21/15.40 cnf(arity_Polynomial__Opoly__Rings_Odvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3015) | class_Rings_Odvd(tc_Polynomial_Opoly(_u3015)) )).
% 15.21/15.40
% 15.21/15.40 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 15.21/15.40 cnf(conj_0-1, negated_conjecture, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.21/15.40
% 15.21/15.40 % Problem matrix:
% 15.21/15.40 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.21/15.40 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.21/15.40 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.21/15.40 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Onorm__class_Onorm(__eqx_0, __eqx_1) = c_RealVector_Onorm__class_Onorm(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Oplus__class_Oplus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Oplus__class_Oplus(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Rings_Oinverse__class_Oinverse(__eqx_0, __eqx_1) = c_Rings_Oinverse__class_Oinverse(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Ominus__class_Ominus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Ominus__class_Ominus(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0, __eqx_1) = c_Groups_Ouminus__class_Ouminus(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealVector_Oof__real(__eqx_0, __eqx_1) = c_RealVector_Oof__real(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Oabs__class_Oabs(__eqx_0, __eqx_1) = c_Groups_Oabs__class_Oabs(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Polynomial_Opoly(__eqx_0, __eqx_1) = c_Polynomial_Opoly(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(__eqx_0, __eqx_1) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Polynomial_Opoly(__eqx_0) = tc_Polynomial_Opoly(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Osmult(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Osmult(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_OpCons(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_OpCons(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Omonom(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Omonom(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Osynthetic__div(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Osynthetic__div(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Opcompose(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Opcompose(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Polynomial_Oorder(__eqx_0, __eqx_1, __eqx_2) = c_Polynomial_Oorder(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatceiling(__eqx_0) = c_RComplete_Onatceiling(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatfloor(__eqx_0) = c_RComplete_Onatfloor(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat__Transfer_Otsub(__eqx_0, __eqx_1) = c_Nat__Transfer_Otsub(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealDef_Oreal(__eqx_0, __eqx_1) = c_RealDef_Oreal(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(__eqx_0, __eqx_1, __eqx_2) = c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem9(__eqx_0, __eqx_1, __eqx_2) = skolem9(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( skolem14(__eqx_0) = skolem14(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( skolem21(__eqx_0) = skolem21(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.21/15.40 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( skolem26(__eqx_0) = skolem26(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem27(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem27(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.21/15.40 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem29(__eqx_0, __eqx_1) = skolem29(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( skolem30(__eqx_0) = skolem30(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( skolem32(__eqx_0) = skolem32(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem33(__eqx_0, __eqx_1, __eqx_2) = skolem33(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 15.21/15.40 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( skolem36(__eqx_0) = skolem36(__eqy_0)) )).
% 15.21/15.40 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem37(__eqx_0, __eqx_1, __eqx_2) = skolem37(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem38(__eqx_0, __eqx_1, __eqx_2) = skolem38(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.21/15.40 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless(__eqy_0, __eqy_1, __eqy_2) )).
% 15.21/15.40 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless__eq(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless__eq(__eqy_0, __eqy_1, __eqy_2) )).
% 15.21/15.40 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 15.21/15.40 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 15.21/15.40 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__div__algebra(__eqx_0) | class_RealVector_Oreal__normed__div__algebra(__eqy_0) )).
% 15.21/15.40 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra__1(__eqx_0) | class_RealVector_Oreal__normed__algebra__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__vector(__eqx_0) | class_RealVector_Oreal__normed__vector(__eqy_0) )).
% 15.21/15.40 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 15.21/15.40 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 15.21/15.40 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 15.21/15.40 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 15.21/15.40 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 15.21/15.40 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 15.21/15.40 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 15.21/15.40 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 15.21/15.40 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 15.21/15.40 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 15.21/15.40 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 15.21/15.40 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 15.21/15.40 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 15.21/15.40 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 15.21/15.40 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 15.21/15.40 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 15.21/15.40 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 15.21/15.40 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 15.21/15.40 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 15.21/15.40 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 15.21/15.40 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 15.21/15.40 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 15.21/15.40 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 15.21/15.40 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 15.21/15.40 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 15.21/15.40 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__algebra__1(__eqx_0) | class_RealVector_Oreal__algebra__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 15.21/15.40 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__div__algebra(__eqx_0) | class_RealVector_Oreal__div__algebra(__eqy_0) )).
% 15.21/15.40 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 15.21/15.40 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(__eqx_0, __eqx_1, __eqx_2) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(__eqy_0, __eqy_1, __eqy_2) )).
% 15.21/15.40 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 15.21/15.40 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 15.21/15.40 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 15.21/15.40 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__0(__eqx_0) | class_Rings_Ocomm__semiring__0(__eqy_0) )).
% 15.21/15.40 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 15.21/15.40 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 15.21/15.40 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 15.21/15.40 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 15.21/15.40 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 15.21/15.40 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 15.21/15.40 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Polynomial_Opos__poly(__eqx_0, __eqx_1) | c_Polynomial_Opos__poly(__eqy_0, __eqy_1) )).
% 15.21/15.40 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_SEQ_Odecseq(__eqx_0, __eqx_1) | c_SEQ_Odecseq(__eqy_0, __eqy_1) )).
% 15.21/15.40 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 15.21/15.40 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 15.21/15.40 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 15.21/15.40 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 15.21/15.40 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 15.21/15.40 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Rings_Odvd__class_Odvd(__eqx_0, __eqx_1, __eqx_2) | c_Rings_Odvd__class_Odvd(__eqy_0, __eqy_1, __eqy_2) )).
% 15.21/15.40 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 15.21/15.40 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__comm__monoid__add(__eqx_0) | class_Groups_Ocancel__comm__monoid__add(__eqy_0) )).
% 15.21/15.40 cnf(matrix-138, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.21/15.40 cnf(matrix-139, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-140, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)) )).
% 15.21/15.40 cnf(matrix-141, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-142, plain, ( ( v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-143, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_t____) )).
% 15.21/15.40 cnf(matrix-144, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____) )).
% 15.21/15.40 cnf(matrix-145, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.40 cnf(matrix-146, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____))) )).
% 15.21/15.40 cnf(matrix-147, plain, ( ~class_RealVector_Oreal__normed__algebra(_u3) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, _u4), _u5) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, _u6), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3), _u4), _u6)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u5), _u7)) )).
% 15.21/15.40 cnf(matrix-148, plain, ( ~class_Rings_Olinordered__semidom(_u8) | ~c_Orderings_Oord__class_Oless(_u8, c_Groups_Oone__class_Oone(_u8), _u9) | c_Orderings_Oord__class_Oless(_u8, c_Groups_Oone__class_Oone(_u8), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8), _u9), hAPP(hAPP(c_Power_Opower__class_Opower(_u8), _u9), _u10))) )).
% 15.21/15.40 cnf(matrix-149, plain, ( ~class_Rings_Olinordered__semidom(_u11) | ~c_Orderings_Oord__class_Oless(_u11, c_Groups_Oone__class_Oone(_u11), _u12) | c_Orderings_Oord__class_Oless(_u11, hAPP(hAPP(c_Power_Opower__class_Opower(_u11), _u12), _u13), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u11), _u12), hAPP(hAPP(c_Power_Opower__class_Opower(_u11), _u12), _u13))) )).
% 15.21/15.40 cnf(matrix-150, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u14) | ( c_RealVector_Onorm__class_Onorm(_u14, hAPP(hAPP(c_Power_Opower__class_Opower(_u14), _u15), _u16)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u14, _u15)), _u16)) )).
% 15.21/15.40 cnf(matrix-151, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u17) | ( c_RealVector_Onorm__class_Onorm(_u17, c_Groups_Oone__class_Oone(_u17)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-152, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u18) | ( c_RealVector_Onorm__class_Onorm(_u18, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18), _u19), _u20)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u18, _u19)), c_RealVector_Onorm__class_Onorm(_u18, _u20))) )).
% 15.21/15.40 cnf(matrix-153, plain, ( ~class_RealVector_Oreal__normed__vector(_u21) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, _u22), _u23) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, _u24), _u25) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u21, c_Groups_Oplus__class_Oplus(_u21, _u22, _u24)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u23, _u25)) )).
% 15.21/15.40 cnf(matrix-154, plain, ( ~class_Groups_Omonoid__mult(_u26) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u28, _u29)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), _u28)), hAPP(hAPP(c_Power_Opower__class_Opower(_u26), _u27), _u29))) )).
% 15.21/15.40 cnf(matrix-155, plain, ( ~class_Rings_Ocomm__semiring__1(_u30) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u30), hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), _u32)), hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), _u33)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u30), _u31), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u32, _u33))) )).
% 15.21/15.40 cnf(matrix-156, plain, ( ~class_Rings_Olinordered__semidom(_u34) | ~c_Orderings_Oord__class_Oless(_u34, c_Groups_Oone__class_Oone(_u34), _u35) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u36) != hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u37)) | ( _u36 = _u37) )).
% 15.21/15.40 cnf(matrix-157, plain, ( ~class_Rings_Olinordered__semidom(_u34) | ~c_Orderings_Oord__class_Oless(_u34, c_Groups_Oone__class_Oone(_u34), _u35) | ( _u36 != _u37) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u36) = hAPP(hAPP(c_Power_Opower__class_Opower(_u34), _u35), _u37)) )).
% 15.21/15.40 cnf(matrix-158, plain, ( ~class_Rings_Olinordered__semidom(_u38) | ~c_Orderings_Oord__class_Oless(_u38, c_Groups_Oone__class_Oone(_u38), _u39) | ~c_Orderings_Oord__class_Oless(_u38, hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u40), hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u41)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u40, _u41) )).
% 15.21/15.40 cnf(matrix-159, plain, ( ~class_Rings_Olinordered__semidom(_u38) | ~c_Orderings_Oord__class_Oless(_u38, c_Groups_Oone__class_Oone(_u38), _u39) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u40, _u41) | c_Orderings_Oord__class_Oless(_u38, hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u40), hAPP(hAPP(c_Power_Opower__class_Opower(_u38), _u39), _u41)) )).
% 15.21/15.40 cnf(matrix-160, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.40 cnf(matrix-161, plain, ( ~class_RealVector_Oreal__normed__vector(_u42) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u42, _u43)) )).
% 15.21/15.40 cnf(matrix-162, plain, ( ~class_RealVector_Oreal__normed__vector(_u44) | ( c_RealVector_Onorm__class_Onorm(_u44, c_Groups_Ozero__class_Ozero(_u44)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-163, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u45), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u45, _u46)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u46))) )).
% 15.21/15.40 cnf(matrix-164, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u47) | ~class_Rings_Odivision__ring__inverse__zero(_u47) | ( c_RealVector_Onorm__class_Onorm(_u47, c_Rings_Oinverse__class_Oinverse(_u47, _u48)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u47, _u48))) )).
% 15.21/15.40 cnf(matrix-165, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u51), _u53)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u51) | ( _u53 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-166, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u52), _u54)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u52) )).
% 15.21/15.40 cnf(matrix-167, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u52), _u54)) | ( _u54 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-168, plain, ( ~class_RealVector_Oreal__normed__vector(_u55) | ( c_RealVector_Onorm__class_Onorm(_u55, _u56) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u56 = c_Groups_Ozero__class_Ozero(_u55)) )).
% 15.21/15.40 cnf(matrix-169, plain, ( ~class_RealVector_Oreal__normed__vector(_u55) | ( _u56 != c_Groups_Ozero__class_Ozero(_u55)) | ( c_RealVector_Onorm__class_Onorm(_u55, _u56) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-170, plain, ( ~class_RealVector_Oreal__normed__vector(_u57) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u58 = c_Groups_Ozero__class_Ozero(_u57)) )).
% 15.21/15.40 cnf(matrix-171, plain, ( ~class_RealVector_Oreal__normed__vector(_u57) | ( _u58 != c_Groups_Ozero__class_Ozero(_u57)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-172, plain, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) != c_Groups_Ozero__class_Ozero(_u59)) | ( _u60 = c_Groups_Ozero__class_Ozero(_u59)) )).
% 15.21/15.40 cnf(matrix-173, plain, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) != c_Groups_Ozero__class_Ozero(_u59)) | ( _u61 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-174, plain, ( ~class_Power_Opower(_u59) | ~class_Rings_Omult__zero(_u59) | ~class_Rings_Ono__zero__divisors(_u59) | ~class_Rings_Ozero__neq__one(_u59) | ( _u60 != c_Groups_Ozero__class_Ozero(_u59)) | ( _u61 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u59), _u60), _u61) = c_Groups_Ozero__class_Ozero(_u59)) )).
% 15.21/15.40 cnf(matrix-175, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u62) | ( _u63 = c_Groups_Ozero__class_Ozero(_u62)) | ( c_RealVector_Onorm__class_Onorm(_u62, c_Rings_Oinverse__class_Oinverse(_u62, _u63)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u62, _u63))) )).
% 15.21/15.40 cnf(matrix-176, plain, ( ~class_Rings_Odivision__ring(_u64) | ( _u65 = c_Groups_Ozero__class_Ozero(_u64)) | ( c_Rings_Oinverse__class_Oinverse(_u64, hAPP(hAPP(c_Power_Opower__class_Opower(_u64), _u65), _u66)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u64), c_Rings_Oinverse__class_Oinverse(_u64, _u65)), _u66)) )).
% 15.21/15.40 cnf(matrix-177, plain, ( ~class_Rings_Olinordered__semidom(_u67) | ~c_Orderings_Oord__class_Oless__eq(_u67, c_Groups_Ozero__class_Ozero(_u67), _u68) | c_Orderings_Oord__class_Oless__eq(_u67, c_Groups_Ozero__class_Ozero(_u67), hAPP(hAPP(c_Power_Opower__class_Opower(_u67), _u68), _u69)) )).
% 15.21/15.40 cnf(matrix-178, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u70) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u70), _u71), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u70), _u72)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u71, _u72) )).
% 15.21/15.40 cnf(matrix-179, plain, ( ~class_Rings_Olinordered__semidom(_u73) | ~c_Orderings_Oord__class_Oless__eq(_u73, _u74, _u75) | ~c_Orderings_Oord__class_Oless__eq(_u73, c_Groups_Ozero__class_Ozero(_u73), _u74) | c_Orderings_Oord__class_Oless__eq(_u73, hAPP(hAPP(c_Power_Opower__class_Opower(_u73), _u74), _u76), hAPP(hAPP(c_Power_Opower__class_Opower(_u73), _u75), _u76)) )).
% 15.21/15.40 cnf(matrix-180, plain, ( ~class_Rings_Olinordered__semidom(_u77) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u77), _u78), _u79) != hAPP(hAPP(c_Power_Opower__class_Opower(_u77), _u80), _u79)) | ~c_Orderings_Oord__class_Oless__eq(_u77, c_Groups_Ozero__class_Ozero(_u77), _u78) | ~c_Orderings_Oord__class_Oless__eq(_u77, c_Groups_Ozero__class_Ozero(_u77), _u80) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u79) | ( _u78 = _u80) )).
% 15.21/15.40 cnf(matrix-181, plain, ( ~class_Rings_Olinordered__semidom(_u81) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u82, _u83) | ~c_Orderings_Oord__class_Oless__eq(_u81, c_Groups_Ozero__class_Ozero(_u81), _u84) | ~c_Orderings_Oord__class_Oless__eq(_u81, _u84, c_Groups_Oone__class_Oone(_u81)) | c_Orderings_Oord__class_Oless__eq(_u81, hAPP(hAPP(c_Power_Opower__class_Opower(_u81), _u84), _u83), hAPP(hAPP(c_Power_Opower__class_Opower(_u81), _u84), _u82)) )).
% 15.21/15.40 cnf(matrix-182, plain, ( ~class_Rings_Olinordered__semidom(_u85) | ~c_Orderings_Oord__class_Oless(_u85, _u86, _u87) | ~c_Orderings_Oord__class_Oless__eq(_u85, c_Groups_Ozero__class_Ozero(_u85), _u86) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u88) | c_Orderings_Oord__class_Oless(_u85, hAPP(hAPP(c_Power_Opower__class_Opower(_u85), _u86), _u88), hAPP(hAPP(c_Power_Opower__class_Opower(_u85), _u87), _u88)) )).
% 15.21/15.40 cnf(matrix-183, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u89) | ( c_Rings_Oinverse__class_Oinverse(_u89, hAPP(hAPP(c_Power_Opower__class_Opower(_u89), _u90), _u91)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u89), c_Rings_Oinverse__class_Oinverse(_u89, _u90)), _u91)) )).
% 15.21/15.40 cnf(matrix-184, plain, ( ~class_Rings_Ocomm__semiring__1(_u92) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u92), hAPP(hAPP(c_Power_Opower__class_Opower(_u92), _u93), _u94)), _u95) = hAPP(hAPP(c_Power_Opower__class_Opower(_u92), _u93), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u94), _u95))) )).
% 15.21/15.40 cnf(matrix-185, plain, ( ~class_Groups_Omonoid__mult(_u96) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u96), _u97), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u98), _u99)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u96), hAPP(hAPP(c_Power_Opower__class_Opower(_u96), _u97), _u98)), _u99)) )).
% 15.21/15.40 cnf(matrix-186, plain, ( ~class_RealVector_Oreal__normed__algebra(_u100) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u100), _u101), c_Groups_Ozero__class_Ozero(_u100)) = c_Groups_Ozero__class_Ozero(_u100)) )).
% 15.21/15.40 cnf(matrix-187, plain, ( ~class_RealVector_Oreal__normed__algebra(_u102) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u102), _u103), c_Groups_Ozero__class_Ozero(_u102)) = c_Groups_Ozero__class_Ozero(_u102)) )).
% 15.21/15.40 cnf(matrix-188, plain, ( ~class_Rings_Ocomm__semiring__1(_u104) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), c_Groups_Ozero__class_Ozero(_u104)) = c_Groups_Ozero__class_Ozero(_u104)) )).
% 15.21/15.40 cnf(matrix-189, plain, ( ~class_RealVector_Oreal__normed__algebra(_u106) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u106), c_Groups_Ozero__class_Ozero(_u106)), _u107) = c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.21/15.40 cnf(matrix-190, plain, ( ~class_RealVector_Oreal__normed__algebra(_u108) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u108), c_Groups_Ozero__class_Ozero(_u108)), _u109) = c_Groups_Ozero__class_Ozero(_u108)) )).
% 15.21/15.40 cnf(matrix-191, plain, ( ~class_Rings_Ocomm__semiring__1(_u110) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), c_Groups_Ozero__class_Ozero(_u110)), _u111) = c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.21/15.40 cnf(matrix-192, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u112) | ( _u113 != c_Groups_Oplus__class_Oplus(_u112, _u113, _u114)) | ( _u114 = c_Groups_Ozero__class_Ozero(_u112)) )).
% 15.21/15.40 cnf(matrix-193, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u112) | ( _u114 != c_Groups_Ozero__class_Ozero(_u112)) | ( _u113 = c_Groups_Oplus__class_Oplus(_u112, _u113, _u114)) )).
% 15.21/15.40 cnf(matrix-194, plain, ( ~class_Rings_Ocomm__semiring__1(_u115) | ( c_Groups_Oplus__class_Oplus(_u115, _u116, c_Groups_Ozero__class_Ozero(_u115)) = _u116) )).
% 15.21/15.40 cnf(matrix-195, plain, ( ~class_Rings_Ocomm__semiring__1(_u117) | ( c_Groups_Oplus__class_Oplus(_u117, c_Groups_Ozero__class_Ozero(_u117), _u118) = _u118) )).
% 15.21/15.40 cnf(matrix-196, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u119) | ( _u120 = c_Groups_Ozero__class_Ozero(_u119)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u119), _u120), _u121) != c_Groups_Ozero__class_Ozero(_u119)) )).
% 15.21/15.40 cnf(matrix-197, plain, ( ~class_Rings_Olinordered__semidom(_u122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u123, _u124) | ~c_Orderings_Oord__class_Oless__eq(_u122, c_Groups_Oone__class_Oone(_u122), _u125) | c_Orderings_Oord__class_Oless__eq(_u122, hAPP(hAPP(c_Power_Opower__class_Opower(_u122), _u125), _u123), hAPP(hAPP(c_Power_Opower__class_Opower(_u122), _u125), _u124)) )).
% 15.21/15.40 cnf(matrix-198, plain, ( ~class_Rings_Olinordered__semidom(_u126) | ~c_Orderings_Oord__class_Oless(_u126, hAPP(hAPP(c_Power_Opower__class_Opower(_u126), _u127), _u128), hAPP(hAPP(c_Power_Opower__class_Opower(_u126), _u129), _u128)) | ~c_Orderings_Oord__class_Oless__eq(_u126, c_Groups_Ozero__class_Ozero(_u126), _u129) | c_Orderings_Oord__class_Oless(_u126, _u127, _u129) )).
% 15.21/15.40 cnf(matrix-199, plain, ( ~class_Power_Opower(_u130) | ~class_Rings_Osemiring__0(_u130) | ( _u131 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u130), c_Groups_Ozero__class_Ozero(_u130)), _u131) = c_Groups_Oone__class_Oone(_u130)) )).
% 15.21/15.40 cnf(matrix-200, plain, ( ~class_Power_Opower(_u130) | ~class_Rings_Osemiring__0(_u130) | ( _u131 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u130), c_Groups_Ozero__class_Ozero(_u130)), _u131) = c_Groups_Ozero__class_Ozero(_u130)) )).
% 15.21/15.40 cnf(matrix-201, plain, ( ~class_RealVector_Oreal__normed__vector(_u132) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u132, _u133)) | ( _u133 != c_Groups_Ozero__class_Ozero(_u132)) )).
% 15.21/15.40 cnf(matrix-202, plain, ( ~class_RealVector_Oreal__normed__vector(_u132) | ( _u133 = c_Groups_Ozero__class_Ozero(_u132)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u132, _u133)) )).
% 15.21/15.40 cnf(matrix-203, plain, ( ~class_Rings_Olinordered__semidom(_u134) | ~c_Orderings_Oord__class_Oless(_u134, c_Groups_Oone__class_Oone(_u134), _u135) | ~c_Orderings_Oord__class_Oless__eq(_u134, hAPP(hAPP(c_Power_Opower__class_Opower(_u134), _u135), _u136), hAPP(hAPP(c_Power_Opower__class_Opower(_u134), _u135), _u137)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u136, _u137) )).
% 15.21/15.40 cnf(matrix-204, plain, ( ~class_Rings_Olinordered__semidom(_u138) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Oone__class_Oone(_u138), _u139) | ~c_Orderings_Oord__class_Oless__eq(_u138, hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u140), hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u141)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u140, _u141) )).
% 15.21/15.40 cnf(matrix-205, plain, ( ~class_Rings_Olinordered__semidom(_u138) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Oone__class_Oone(_u138), _u139) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u140, _u141) | c_Orderings_Oord__class_Oless__eq(_u138, hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u140), hAPP(hAPP(c_Power_Opower__class_Opower(_u138), _u139), _u141)) )).
% 15.21/15.40 cnf(matrix-206, plain, ( ~class_Rings_Olinordered__semidom(_u142) | ~c_Orderings_Oord__class_Oless__eq(_u142, c_Groups_Oone__class_Oone(_u142), _u143) | c_Orderings_Oord__class_Oless__eq(_u142, c_Groups_Oone__class_Oone(_u142), hAPP(hAPP(c_Power_Opower__class_Opower(_u142), _u143), _u144)) )).
% 15.21/15.40 cnf(matrix-207, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 != _u148) | ( _u149 = _u150) | ( c_Groups_Oplus__class_Oplus(_u145, _u147, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u145), _u146), _u149)) != c_Groups_Oplus__class_Oplus(_u145, _u148, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u145), _u146), _u150))) )).
% 15.21/15.40 cnf(matrix-208, plain, ( ~class_RealVector_Oreal__normed__vector(_u151) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u151, c_Groups_Oplus__class_Oplus(_u151, _u152, _u153)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u151, _u152), c_RealVector_Onorm__class_Onorm(_u151, _u153))) )).
% 15.21/15.40 cnf(matrix-209, plain, ( ~class_Rings_Olinordered__semidom(_u154) | ~c_Orderings_Oord__class_Oless(_u154, c_Groups_Ozero__class_Ozero(_u154), _u155) | c_Orderings_Oord__class_Oless(_u154, c_Groups_Ozero__class_Ozero(_u154), hAPP(hAPP(c_Power_Opower__class_Opower(_u154), _u155), _u156)) )).
% 15.21/15.40 cnf(matrix-210, plain, ( ~class_Rings_Ocomm__semiring__1(_u157) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u157), _u158), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u157)) )).
% 15.21/15.40 cnf(matrix-211, plain, ( ~class_Power_Opower(_u159) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u159), _u160), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u159)) )).
% 15.21/15.40 cnf(matrix-212, plain, ( ~class_RealVector_Oreal__normed__vector(_u161) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u161, _u162), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-213, plain, ( ~class_Rings_Olinordered__semidom(_u163) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u164, _u165) | ~c_Orderings_Oord__class_Oless(_u163, c_Groups_Ozero__class_Ozero(_u163), _u166) | ~c_Orderings_Oord__class_Oless(_u163, _u166, c_Groups_Oone__class_Oone(_u163)) | c_Orderings_Oord__class_Oless(_u163, hAPP(hAPP(c_Power_Opower__class_Opower(_u163), _u166), _u165), hAPP(hAPP(c_Power_Opower__class_Opower(_u163), _u166), _u164)) )).
% 15.21/15.40 cnf(matrix-214, plain, ( ~class_RealVector_Oreal__normed__algebra(_u167) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u167, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u167), _u168), _u169)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u167, _u168)), c_RealVector_Onorm__class_Onorm(_u167, _u169))) )).
% 15.21/15.40 cnf(matrix-215, plain, ( ~class_Rings_Olinordered__semidom(_u170) | ~c_Orderings_Oord__class_Oless(_u170, c_Groups_Oone__class_Oone(_u170), _u171) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u172) | c_Orderings_Oord__class_Oless(_u170, c_Groups_Oone__class_Oone(_u170), hAPP(hAPP(c_Power_Opower__class_Opower(_u170), _u171), _u172)) )).
% 15.21/15.40 cnf(matrix-216, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u173) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u173, hAPP(hAPP(c_Power_Opower__class_Opower(_u173), _u174), _u175)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u173, _u174)), _u175)) )).
% 15.21/15.40 cnf(matrix-217, plain, ( ~class_Rings_Olinordered__semidom(_u176) | ~c_Orderings_Oord__class_Oless(_u176, c_Groups_Ozero__class_Ozero(_u176), _u177) | ~c_Orderings_Oord__class_Oless(_u176, _u177, c_Groups_Oone__class_Oone(_u176)) | c_Orderings_Oord__class_Oless(_u176, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u176), _u177), hAPP(hAPP(c_Power_Opower__class_Opower(_u176), _u177), _u178)), hAPP(hAPP(c_Power_Opower__class_Opower(_u176), _u177), _u178)) )).
% 15.21/15.40 cnf(matrix-218, plain, ( ~class_Rings_Ocomm__semiring__1(_u179) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u180), _u181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u182), _u183)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u180), _u182)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u179), _u181), _u183))) )).
% 15.21/15.40 cnf(matrix-219, plain, ( ~class_Rings_Ocomm__semiring__1(_u184) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u185), _u186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u187), _u188)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u184), _u185), _u186)), _u188))) )).
% 15.21/15.40 cnf(matrix-220, plain, ( ~class_Rings_Ocomm__semiring__1(_u189) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u191)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u192), _u193)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u192), _u193)))) )).
% 15.21/15.40 cnf(matrix-221, plain, ( ~class_Rings_Ocomm__semiring__1(_u194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), _u195), _u196)), _u197) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u194), _u195), _u197)), _u196)) )).
% 15.21/15.40 cnf(matrix-222, plain, ( ~class_Rings_Ocomm__semiring__1(_u198) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u199), _u200)), _u201) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u198), _u200), _u201))) )).
% 15.21/15.40 cnf(matrix-223, plain, ( ~class_Rings_Ocomm__semiring__1(_u202) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u204), _u205)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u202), _u203), _u204)), _u205)) )).
% 15.21/15.40 cnf(matrix-224, plain, ( ~class_Rings_Ocomm__semiring__1(_u206) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u208), _u209)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u208), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u206), _u207), _u209))) )).
% 15.21/15.40 cnf(matrix-225, plain, ( ~class_Rings_Ocomm__semiring__1(_u210) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u210), _u211), _u212) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u210), _u212), _u211)) )).
% 15.21/15.40 cnf(matrix-226, plain, ( ~class_Rings_Ocomm__semiring__1(_u213) | ( c_Groups_Oplus__class_Oplus(_u213, c_Groups_Oplus__class_Oplus(_u213, _u214, _u215), c_Groups_Oplus__class_Oplus(_u213, _u216, _u217)) = c_Groups_Oplus__class_Oplus(_u213, c_Groups_Oplus__class_Oplus(_u213, _u214, _u216), c_Groups_Oplus__class_Oplus(_u213, _u215, _u217))) )).
% 15.21/15.40 cnf(matrix-227, plain, ( ~class_Rings_Ocomm__semiring__1(_u218) | ( c_Groups_Oplus__class_Oplus(_u218, c_Groups_Oplus__class_Oplus(_u218, _u219, _u220), _u221) = c_Groups_Oplus__class_Oplus(_u218, c_Groups_Oplus__class_Oplus(_u218, _u219, _u221), _u220)) )).
% 15.21/15.40 cnf(matrix-228, plain, ( ~class_Rings_Ocomm__semiring__1(_u222) | ( c_Groups_Oplus__class_Oplus(_u222, c_Groups_Oplus__class_Oplus(_u222, _u223, _u224), _u225) = c_Groups_Oplus__class_Oplus(_u222, _u223, c_Groups_Oplus__class_Oplus(_u222, _u224, _u225))) )).
% 15.21/15.40 cnf(matrix-229, plain, ( ~class_Rings_Ocomm__semiring__1(_u226) | ( c_Groups_Oplus__class_Oplus(_u226, _u227, c_Groups_Oplus__class_Oplus(_u226, _u228, _u229)) = c_Groups_Oplus__class_Oplus(_u226, c_Groups_Oplus__class_Oplus(_u226, _u227, _u228), _u229)) )).
% 15.21/15.40 cnf(matrix-230, plain, ( ~class_Rings_Ocomm__semiring__1(_u230) | ( c_Groups_Oplus__class_Oplus(_u230, _u231, c_Groups_Oplus__class_Oplus(_u230, _u232, _u233)) = c_Groups_Oplus__class_Oplus(_u230, _u232, c_Groups_Oplus__class_Oplus(_u230, _u231, _u233))) )).
% 15.21/15.40 cnf(matrix-231, plain, ( ~class_Rings_Ocomm__semiring__1(_u234) | ( c_Groups_Oplus__class_Oplus(_u234, _u235, _u236) = c_Groups_Oplus__class_Oplus(_u234, _u236, _u235)) )).
% 15.21/15.40 cnf(matrix-232, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) != c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u238 = _u240) | ( _u239 = _u241) )).
% 15.21/15.40 cnf(matrix-233, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) = c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u238 != _u240) )).
% 15.21/15.40 cnf(matrix-234, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u237) | ( c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u241)) = c_Groups_Oplus__class_Oplus(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u240), _u239))) | ( _u239 != _u241) )).
% 15.21/15.40 cnf(matrix-235, plain, ( ~class_Rings_Ocomm__semiring__1(_u242) | ( c_Groups_Oplus__class_Oplus(_u242, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), _u243), _u244), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), _u245), _u244)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u242), c_Groups_Oplus__class_Oplus(_u242, _u243, _u245)), _u244)) )).
% 15.21/15.40 cnf(matrix-236, plain, ( ~class_RealVector_Oreal__normed__algebra(_u246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), c_Groups_Oplus__class_Oplus(_u246, _u247, _u248)), _u249) = c_Groups_Oplus__class_Oplus(_u246, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), _u247), _u249), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u246), _u248), _u249))) )).
% 15.21/15.40 cnf(matrix-237, plain, ( ~class_RealVector_Oreal__normed__algebra(_u250) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), c_Groups_Oplus__class_Oplus(_u250, _u251, _u252)), _u253) = c_Groups_Oplus__class_Oplus(_u250, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u251), _u253), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u252), _u253))) )).
% 15.21/15.40 cnf(matrix-238, plain, ( ~class_Rings_Ocomm__semiring__1(_u254) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), c_Groups_Oplus__class_Oplus(_u254, _u255, _u256)), _u257) = c_Groups_Oplus__class_Oplus(_u254, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), _u255), _u257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u254), _u256), _u257))) )).
% 15.21/15.40 cnf(matrix-239, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( _u259 = _u260) | ( _u261 = _u262) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) != c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) )).
% 15.21/15.40 cnf(matrix-240, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) = c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) | ( _u259 != _u260) )).
% 15.21/15.40 cnf(matrix-241, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u258) | ( c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u262)) = c_Groups_Oplus__class_Oplus(_u258, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u259), _u262), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u258), _u260), _u261))) | ( _u261 != _u262) )).
% 15.21/15.40 cnf(matrix-242, plain, ( ~class_RealVector_Oreal__normed__algebra(_u263) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), c_Groups_Oplus__class_Oplus(_u263, _u265, _u266)) = c_Groups_Oplus__class_Oplus(_u263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u265), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u266))) )).
% 15.21/15.40 cnf(matrix-243, plain, ( ~class_Rings_Ocomm__semiring__1(_u267) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), c_Groups_Oplus__class_Oplus(_u267, _u269, _u270)) = c_Groups_Oplus__class_Oplus(_u267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), _u269), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u267), _u268), _u270))) )).
% 15.21/15.40 cnf(matrix-244, plain, ( ~class_RealVector_Oreal__normed__algebra(_u271) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), c_Groups_Oplus__class_Oplus(_u271, _u273, _u274)) = c_Groups_Oplus__class_Oplus(_u271, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), _u273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u271), _u272), _u274))) )).
% 15.21/15.40 cnf(matrix-245, plain, ( ~class_Rings_Ocomm__semiring__1(_u275) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u275), _u276), c_Groups_Oone__class_Oone(_u275)) = _u276) )).
% 15.21/15.40 cnf(matrix-246, plain, ( ~class_Rings_Ocomm__semiring__1(_u277) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u277), c_Groups_Oone__class_Oone(_u277)), _u278) = _u278) )).
% 15.21/15.40 cnf(matrix-247, plain, ( ~class_Rings_Ocomm__semiring__1(_u279) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u279), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u279), _u280), _u281)), _u282) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u279), hAPP(hAPP(c_Power_Opower__class_Opower(_u279), _u280), _u282)), hAPP(hAPP(c_Power_Opower__class_Opower(_u279), _u281), _u282))) )).
% 15.21/15.40 cnf(matrix-248, plain, ( ~class_Groups_Ocomm__monoid__mult(_u283) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u283), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u283), _u284), _u285)), _u286) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u283), hAPP(hAPP(c_Power_Opower__class_Opower(_u283), _u284), _u286)), hAPP(hAPP(c_Power_Opower__class_Opower(_u283), _u285), _u286))) )).
% 15.21/15.40 cnf(matrix-249, plain, ( ~class_Groups_Omonoid__mult(_u287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), hAPP(hAPP(c_Power_Opower__class_Opower(_u287), _u288), _u289)), _u288) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), _u288), hAPP(hAPP(c_Power_Opower__class_Opower(_u287), _u288), _u289))) )).
% 15.21/15.40 cnf(matrix-250, plain, ( ~class_Groups_Omonoid__mult(_u290) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u290), c_Groups_Oone__class_Oone(_u290)), _u291) = c_Groups_Oone__class_Oone(_u290)) )).
% 15.21/15.40 cnf(matrix-251, plain, ( ~class_Rings_Ocomm__semiring__1(_u292) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u292), _u293), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u293) )).
% 15.21/15.40 cnf(matrix-252, plain, ( ~class_Groups_Omonoid__mult(_u294) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u294), _u295), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u295) )).
% 15.21/15.40 cnf(matrix-253, plain, ( ~class_Rings_Ocomm__semiring__1(_u296) | ( c_Groups_Oplus__class_Oplus(_u296, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), _u297), _u298), _u298) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), c_Groups_Oplus__class_Oplus(_u296, _u297, c_Groups_Oone__class_Oone(_u296))), _u298)) )).
% 15.21/15.40 cnf(matrix-254, plain, ( ~class_Rings_Ocomm__semiring__1(_u299) | ( c_Groups_Oplus__class_Oplus(_u299, _u300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u299), _u301), _u300)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u299), c_Groups_Oplus__class_Oplus(_u299, _u301, c_Groups_Oone__class_Oone(_u299))), _u300)) )).
% 15.21/15.40 cnf(matrix-255, plain, ( ~class_Rings_Ocomm__semiring__1(_u302) | ( c_Groups_Oplus__class_Oplus(_u302, _u303, _u303) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u302), c_Groups_Oplus__class_Oplus(_u302, c_Groups_Oone__class_Oone(_u302), c_Groups_Oone__class_Oone(_u302))), _u303)) )).
% 15.21/15.40 cnf(matrix-256, plain, ( ~class_Rings_Olinordered__semidom(_u304) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u305, _u306) | ~c_Orderings_Oord__class_Oless(_u304, c_Groups_Oone__class_Oone(_u304), _u307) | c_Orderings_Oord__class_Oless(_u304, hAPP(hAPP(c_Power_Opower__class_Opower(_u304), _u307), _u305), hAPP(hAPP(c_Power_Opower__class_Opower(_u304), _u307), _u306)) )).
% 15.21/15.40 cnf(matrix-257, plain, ( ~class_Rings_Olinordered__semidom(_u308) | ~c_Orderings_Oord__class_Oless(_u308, c_Groups_Oone__class_Oone(_u308), _u309) | ~c_Orderings_Oord__class_Oless(_u308, hAPP(hAPP(c_Power_Opower__class_Opower(_u308), _u309), _u310), hAPP(hAPP(c_Power_Opower__class_Opower(_u308), _u309), _u311)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u310, _u311) )).
% 15.21/15.40 cnf(matrix-258, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2) )).
% 15.21/15.40 cnf(matrix-259, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-260, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))) )).
% 15.21/15.40 cnf(matrix-261, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u313) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u314, c_RealVector_Onorm__class_Onorm(_u313, _u315)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u314) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u313, c_Rings_Oinverse__class_Oinverse(_u313, _u315)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u314)) )).
% 15.21/15.40 cnf(matrix-262, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u316) | ~c_Orderings_Oord__class_Oless(_u316, _u317, _u318) | ~c_Orderings_Oord__class_Oless(_u316, _u319, _u318) | ~c_Orderings_Oord__class_Oless__eq(_u316, c_Groups_Ozero__class_Ozero(_u316), _u320) | ~c_Orderings_Oord__class_Oless__eq(_u316, c_Groups_Ozero__class_Ozero(_u316), _u321) | ( c_Groups_Oplus__class_Oplus(_u316, _u320, _u321) != c_Groups_Oone__class_Oone(_u316)) | c_Orderings_Oord__class_Oless(_u316, c_Groups_Oplus__class_Oplus(_u316, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u316), _u320), _u317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u316), _u321), _u319)), _u318) )).
% 15.21/15.40 cnf(matrix-263, plain, ( ~class_RealVector_Oreal__normed__vector(_u322) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u323, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u322, _u324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u323), c_RealVector_Onorm__class_Onorm(_u322, _u325))) | ( _u324 = c_Groups_Ozero__class_Ozero(_u322)) )).
% 15.21/15.40 cnf(matrix-264, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u326, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-265, plain, ( ~class_Fields_Olinordered__field(_u327) | ~c_Orderings_Oord__class_Oless(_u327, c_Groups_Ozero__class_Ozero(_u327), _u328) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u328, c_Groups_Oone__class_Oone(_u327)) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Oone__class_Oone(_u327), c_Rings_Oinverse__class_Oinverse(_u327, _u328)) )).
% 15.21/15.40 cnf(matrix-266, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | ~c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | c_Orderings_Oord__class_Oless__eq(_u329, _u330, c_Groups_Ozero__class_Ozero(_u329)) | c_Orderings_Oord__class_Oless(_u329, c_Groups_Oone__class_Oone(_u329), _u330) )).
% 15.21/15.40 cnf(matrix-267, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | ~c_Orderings_Oord__class_Oless__eq(_u329, _u330, c_Groups_Ozero__class_Ozero(_u329)) )).
% 15.21/15.40 cnf(matrix-268, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u329) | c_Orderings_Oord__class_Oless(_u329, c_Rings_Oinverse__class_Oinverse(_u329, _u330), c_Groups_Oone__class_Oone(_u329)) | ~c_Orderings_Oord__class_Oless(_u329, c_Groups_Oone__class_Oone(_u329), _u330) )).
% 15.21/15.40 cnf(matrix-269, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) | c_Orderings_Oord__class_Oless(_u331, c_Groups_Ozero__class_Ozero(_u331), _u332) )).
% 15.21/15.40 cnf(matrix-270, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) | c_Orderings_Oord__class_Oless__eq(_u331, _u332, c_Groups_Oone__class_Oone(_u331)) )).
% 15.21/15.40 cnf(matrix-271, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u331) | ~c_Orderings_Oord__class_Oless(_u331, c_Groups_Ozero__class_Ozero(_u331), _u332) | ~c_Orderings_Oord__class_Oless__eq(_u331, _u332, c_Groups_Oone__class_Oone(_u331)) | c_Orderings_Oord__class_Oless__eq(_u331, c_Groups_Oone__class_Oone(_u331), c_Rings_Oinverse__class_Oinverse(_u331, _u332)) )).
% 15.21/15.40 cnf(matrix-272, plain, ( ~class_Rings_Olinordered__semiring__1(_u333) | ~c_Orderings_Oord__class_Oless__eq(_u333, _u334, _u335) | ~c_Orderings_Oord__class_Oless__eq(_u333, _u336, _u335) | ~c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Ozero__class_Ozero(_u333), _u337) | ~c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Ozero__class_Ozero(_u333), _u338) | ( c_Groups_Oplus__class_Oplus(_u333, _u337, _u338) != c_Groups_Oone__class_Oone(_u333)) | c_Orderings_Oord__class_Oless__eq(_u333, c_Groups_Oplus__class_Oplus(_u333, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u333), _u337), _u334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u333), _u338), _u336)), _u335) )).
% 15.21/15.40 cnf(matrix-273, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem3(_u340)) )).
% 15.21/15.40 cnf(matrix-274, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3(_u340), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-275, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u340) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3(_u340), _u340) )).
% 15.21/15.40 cnf(matrix-276, plain, ( ( _u341 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u341)), _u341) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-277, plain, ( ( v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-278, plain, ( ( v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-279, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u342) )).
% 15.21/15.40 cnf(matrix-280, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-281, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u343, _u343) )).
% 15.21/15.40 cnf(matrix-282, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u344, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u344), _u344)) )).
% 15.21/15.40 cnf(matrix-283, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u345, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u345), _u345))) )).
% 15.21/15.40 cnf(matrix-284, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u346), _u347) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u347), _u346)) )).
% 15.21/15.40 cnf(matrix-285, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u348, _u349) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u349, _u348) )).
% 15.21/15.40 cnf(matrix-286, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u350), _u351)), _u352) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u350), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u351), _u352))) )).
% 15.21/15.40 cnf(matrix-287, plain, ( ( _u353 != _u354) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u353, _u354) )).
% 15.21/15.40 cnf(matrix-288, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u355, _u356) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u355), _u357), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u356), _u357)) )).
% 15.21/15.40 cnf(matrix-289, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u358, _u359) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u360), _u358), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u360), _u359)) )).
% 15.21/15.40 cnf(matrix-290, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u361, _u362) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u362, _u363) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u361, _u363) )).
% 15.21/15.40 cnf(matrix-291, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u364, _u365) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u365, _u364) | ( _u364 = _u365) )).
% 15.21/15.40 cnf(matrix-292, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u366, _u367) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u368, _u369) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u366), _u368), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u367), _u369)) )).
% 15.21/15.40 cnf(matrix-293, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u371, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u371 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-294, plain, ( ( _u372 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-295, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u373) )).
% 15.21/15.40 cnf(matrix-296, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u374, _u375) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u374, _u375) )).
% 15.21/15.40 cnf(matrix-297, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u374, _u375) | ( _u374 != _u375) )).
% 15.21/15.40 cnf(matrix-298, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u376, _u377) | ( _u376 = _u377) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u376, _u377) )).
% 15.21/15.40 cnf(matrix-299, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u378, _u379) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u378, _u379) )).
% 15.21/15.40 cnf(matrix-300, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u382, _u384) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u382, _u384) | ( _u382 = _u384) )).
% 15.21/15.40 cnf(matrix-301, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u383, _u385) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u383, _u385) )).
% 15.21/15.40 cnf(matrix-302, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u383, _u385) | ( _u383 != _u385) )).
% 15.21/15.40 cnf(matrix-303, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u388, _u390) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u388, _u390) )).
% 15.21/15.40 cnf(matrix-304, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u388, _u390) | ( _u388 != _u390) )).
% 15.21/15.40 cnf(matrix-305, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u389, _u391) | ( _u389 = _u391) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u389, _u391) )).
% 15.21/15.40 cnf(matrix-306, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u392, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u393, _u392)) )).
% 15.21/15.40 cnf(matrix-307, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u394, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u394, _u395)) )).
% 15.21/15.40 cnf(matrix-308, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u400, _u402) | ( _u402 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u400, skolem4(_u402, _u400))) )).
% 15.21/15.40 cnf(matrix-309, plain, ( ( _u403 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u401, _u397)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u401, _u403) )).
% 15.21/15.40 cnf(matrix-310, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u408, _u410) | ( _u410 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u408, skolem5(_u410, _u408))) )).
% 15.21/15.40 cnf(matrix-311, plain, ( ( _u411 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u409, _u405)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u409, _u411) )).
% 15.21/15.40 cnf(matrix-312, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u417, _u419) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u415, _u417), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u415, _u419)) )).
% 15.21/15.40 cnf(matrix-313, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u418, _u420) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u416, _u418), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u416, _u420)) )).
% 15.21/15.40 cnf(matrix-314, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u421, _u422) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u421, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u422, _u423)) )).
% 15.21/15.40 cnf(matrix-315, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u424, _u425) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u424, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u426, _u425)) )).
% 15.21/15.40 cnf(matrix-316, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u427, _u428) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u427, _u429), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u428, _u429)) )).
% 15.21/15.40 cnf(matrix-317, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u430, _u431) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u432, _u433) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u430, _u432), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u431, _u433)) )).
% 15.21/15.40 cnf(matrix-318, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u435, _u436) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u434, _u435), _u436) )).
% 15.21/15.40 cnf(matrix-319, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u437, _u438), _u439) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u437, _u439) )).
% 15.21/15.40 cnf(matrix-320, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u440, _u441), _u442) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u440, _u442) )).
% 15.21/15.40 cnf(matrix-321, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u440, _u441), _u442) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u441, _u442) )).
% 15.21/15.40 cnf(matrix-322, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u446), _u448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u450), _u448)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u448) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u446, _u450) )).
% 15.21/15.40 cnf(matrix-323, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u447), _u449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u451), _u449)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u449) )).
% 15.21/15.40 cnf(matrix-324, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u447), _u449), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u451), _u449)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u447, _u451) )).
% 15.21/15.40 cnf(matrix-325, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u455), _u457), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u455), _u459)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u455) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u457, _u459) )).
% 15.21/15.40 cnf(matrix-326, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u460)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u456) )).
% 15.21/15.40 cnf(matrix-327, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u456), _u460)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u458, _u460) )).
% 15.21/15.40 cnf(matrix-328, plain, ( ~class_Rings_Olinordered__idom(_u461) | ( _u462 = _u463) | c_Orderings_Oord__class_Oless(_u461, _u462, _u463) | c_Orderings_Oord__class_Oless(_u461, _u463, _u462) )).
% 15.21/15.40 cnf(matrix-329, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u467), _u469) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u471), _u469)) | ( _u467 = _u471) | ( _u469 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-330, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u468), _u470) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u472), _u470)) | ( _u468 != _u472) )).
% 15.21/15.40 cnf(matrix-331, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u468), _u470) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u472), _u470)) | ( _u470 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-332, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u476), _u478) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u476), _u480)) | ( _u478 = _u480) | ( _u476 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-333, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u479) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u481)) | ( _u479 != _u481) )).
% 15.21/15.40 cnf(matrix-334, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u479) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u477), _u481)) | ( _u477 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-335, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u484), _u486) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u484 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-336, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u485), _u487) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u485 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-337, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u485), _u487) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-338, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u488), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-339, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u489) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-340, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u490, _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u491, _u490) | ( _u490 = _u491) )).
% 15.21/15.40 cnf(matrix-341, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u494) )).
% 15.21/15.40 cnf(matrix-342, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u495, _u496) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u495) )).
% 15.21/15.40 cnf(matrix-343, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u497, _u497) )).
% 15.21/15.40 cnf(matrix-344, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u498, _u499) | ( _u498 = _u499) | hBOOL(hAPP(hAPP(_u500, _u499), _u498)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u499, _u498) )).
% 15.21/15.40 cnf(matrix-345, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u501, _u502) | ( _u501 != _u502) )).
% 15.21/15.40 cnf(matrix-346, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u503, _u504) | ( _u504 != _u503) )).
% 15.21/15.40 cnf(matrix-347, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u505, _u505) )).
% 15.21/15.40 cnf(matrix-348, plain, ( ( _u506 = _u507) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u506, _u507) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u507, _u506) )).
% 15.21/15.40 cnf(matrix-349, plain, ( ( _u510 = _u512) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u510, _u512) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u512, _u510) )).
% 15.21/15.40 cnf(matrix-350, plain, ( ( _u511 != _u513) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u511, _u513) )).
% 15.21/15.40 cnf(matrix-351, plain, ( ( _u511 != _u513) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u513, _u511) )).
% 15.21/15.40 cnf(matrix-352, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u514, _u514) )).
% 15.21/15.40 cnf(matrix-353, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u515, _u516) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u516, _u515)) )).
% 15.21/15.40 cnf(matrix-354, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u517, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u518, _u519)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u518, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u517, _u519))) )).
% 15.21/15.40 cnf(matrix-355, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u520, _u521), _u522) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u520, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u521, _u522))) )).
% 15.21/15.40 cnf(matrix-356, plain, ( ( _u528 = _u530) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u526, _u528) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u526, _u530)) )).
% 15.21/15.40 cnf(matrix-357, plain, ( ( _u529 != _u531) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u527, _u529) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u527, _u531)) )).
% 15.21/15.40 cnf(matrix-358, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u535, _u537) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u539, _u537)) | ( _u535 = _u539) )).
% 15.21/15.40 cnf(matrix-359, plain, ( ( _u536 != _u540) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u536, _u538) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u540, _u538)) )).
% 15.21/15.40 cnf(matrix-360, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u542, _u543)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), _u542), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u541), _u543))) )).
% 15.21/15.40 cnf(matrix-361, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u544, _u545)), _u546) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u544), _u546), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u545), _u546))) )).
% 15.21/15.40 cnf(matrix-362, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u547), _u548) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u548), _u547)) )).
% 15.21/15.40 cnf(matrix-363, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u549), _u550)), _u551) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u549), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u550), _u551))) )).
% 15.21/15.40 cnf(matrix-364, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u552) | ( c_Rings_Oinverse__class_Oinverse(_u552, _u553) != c_Rings_Oinverse__class_Oinverse(_u552, _u554)) | ( _u553 = _u554) )).
% 15.21/15.40 cnf(matrix-365, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u555) | ( c_Rings_Oinverse__class_Oinverse(_u555, _u556) != c_Rings_Oinverse__class_Oinverse(_u555, _u557)) | ( _u556 = _u557) )).
% 15.21/15.40 cnf(matrix-366, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u555) | ( _u556 != _u557) | ( c_Rings_Oinverse__class_Oinverse(_u555, _u556) = c_Rings_Oinverse__class_Oinverse(_u555, _u557)) )).
% 15.21/15.40 cnf(matrix-367, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u558) | ( c_Rings_Oinverse__class_Oinverse(_u558, c_Rings_Oinverse__class_Oinverse(_u558, _u559)) = _u559) )).
% 15.21/15.40 cnf(matrix-368, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u560) = _u560) )).
% 15.21/15.40 cnf(matrix-369, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u563), _u565)) | ( _u563 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-370, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u563), _u565)) | ( _u565 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-371, plain, ( ( _u564 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u566 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u564), _u566)) )).
% 15.21/15.40 cnf(matrix-372, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u567), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u567) )).
% 15.21/15.40 cnf(matrix-373, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u570), _u572) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u570 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-374, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u570), _u572) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u572 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-375, plain, ( ( _u571 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u573 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u571), _u573) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-376, plain, ( ~class_Rings_Omult__zero(_u574) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u574), c_Groups_Ozero__class_Ozero(_u574)), _u575) = c_Groups_Ozero__class_Ozero(_u574)) )).
% 15.21/15.40 cnf(matrix-377, plain, ( ~class_Rings_Omult__zero(_u576) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u576), _u577), c_Groups_Ozero__class_Ozero(_u576)) = c_Groups_Ozero__class_Ozero(_u576)) )).
% 15.21/15.40 cnf(matrix-378, plain, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) != c_Groups_Ozero__class_Ozero(_u578)) | ( _u579 = c_Groups_Ozero__class_Ozero(_u578)) | ( _u580 = c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.40 cnf(matrix-379, plain, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) = c_Groups_Ozero__class_Ozero(_u578)) | ( _u579 != c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.40 cnf(matrix-380, plain, ( ~class_Rings_Oring__no__zero__divisors(_u578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u578), _u579), _u580) = c_Groups_Ozero__class_Ozero(_u578)) | ( _u580 != c_Groups_Ozero__class_Ozero(_u578)) )).
% 15.21/15.40 cnf(matrix-381, plain, ( ~class_Rings_Ono__zero__divisors(_u581) | ( _u582 = c_Groups_Ozero__class_Ozero(_u581)) | ( _u583 = c_Groups_Ozero__class_Ozero(_u581)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u581), _u582), _u583) != c_Groups_Ozero__class_Ozero(_u581)) )).
% 15.21/15.40 cnf(matrix-382, plain, ( ~class_Rings_Ono__zero__divisors(_u584) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u584), _u585), _u586) != c_Groups_Ozero__class_Ozero(_u584)) | ( _u585 = c_Groups_Ozero__class_Ozero(_u584)) | ( _u586 = c_Groups_Ozero__class_Ozero(_u584)) )).
% 15.21/15.40 cnf(matrix-383, plain, ( ~class_Rings_Ozero__neq__one(_u587) | ( c_Groups_Oone__class_Oone(_u587) != c_Groups_Ozero__class_Ozero(_u587)) )).
% 15.21/15.40 cnf(matrix-384, plain, ( ~class_Rings_Ozero__neq__one(_u588) | ( c_Groups_Ozero__class_Ozero(_u588) != c_Groups_Oone__class_Oone(_u588)) )).
% 15.21/15.40 cnf(matrix-385, plain, ( ~class_Rings_Ocomm__semiring(_u589) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), c_Groups_Oplus__class_Oplus(_u589, _u590, _u591)), _u592) = c_Groups_Oplus__class_Oplus(_u589, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), _u590), _u592), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u589), _u591), _u592))) )).
% 15.21/15.40 cnf(matrix-386, plain, ( ~class_Rings_Osemiring(_u593) | ( c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), _u594), _u595), c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), _u596), _u595), _u597)) = c_Groups_Oplus__class_Oplus(_u593, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u593), c_Groups_Oplus__class_Oplus(_u593, _u594, _u596)), _u595), _u597)) )).
% 15.21/15.40 cnf(matrix-387, plain, ( ~class_Rings_Odivision__ring(_u598) | ( c_Rings_Oinverse__class_Oinverse(_u598, _u599) != c_Rings_Oinverse__class_Oinverse(_u598, _u600)) | ( _u599 = c_Groups_Ozero__class_Ozero(_u598)) | ( _u600 = c_Groups_Ozero__class_Ozero(_u598)) | ( _u599 = _u600) )).
% 15.21/15.40 cnf(matrix-388, plain, ( ~class_Rings_Odivision__ring(_u601) | ( c_Rings_Oinverse__class_Oinverse(_u601, _u602) != c_Groups_Ozero__class_Ozero(_u601)) | ( _u602 = c_Groups_Ozero__class_Ozero(_u601)) )).
% 15.21/15.40 cnf(matrix-389, plain, ( ~class_Rings_Odivision__ring(_u603) | ( _u604 = c_Groups_Ozero__class_Ozero(_u603)) | ( c_Rings_Oinverse__class_Oinverse(_u603, c_Rings_Oinverse__class_Oinverse(_u603, _u604)) = _u604) )).
% 15.21/15.40 cnf(matrix-390, plain, ( ~class_Rings_Odivision__ring(_u605) | ( _u606 = c_Groups_Ozero__class_Ozero(_u605)) | ( c_Rings_Oinverse__class_Oinverse(_u605, _u606) != c_Groups_Ozero__class_Ozero(_u605)) )).
% 15.21/15.40 cnf(matrix-391, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u607) | ( c_Rings_Oinverse__class_Oinverse(_u607, _u608) != c_Groups_Ozero__class_Ozero(_u607)) | ( _u608 = c_Groups_Ozero__class_Ozero(_u607)) )).
% 15.21/15.40 cnf(matrix-392, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u607) | ( _u608 != c_Groups_Ozero__class_Ozero(_u607)) | ( c_Rings_Oinverse__class_Oinverse(_u607, _u608) = c_Groups_Ozero__class_Ozero(_u607)) )).
% 15.21/15.40 cnf(matrix-393, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u609) | ( c_Rings_Oinverse__class_Oinverse(_u609, c_Groups_Ozero__class_Ozero(_u609)) = c_Groups_Ozero__class_Ozero(_u609)) )).
% 15.21/15.40 cnf(matrix-394, plain, ( ~class_Fields_Ofield__inverse__zero(_u610) | ( c_Rings_Oinverse__class_Oinverse(_u610, c_Groups_Ozero__class_Ozero(_u610)) = c_Groups_Ozero__class_Ozero(_u610)) )).
% 15.21/15.40 cnf(matrix-395, plain, ( ( _u611 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u611) )).
% 15.21/15.40 cnf(matrix-396, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u612, _u613) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u614) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u614), _u612), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u614), _u613)) )).
% 15.21/15.40 cnf(matrix-397, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u615, _u616) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u617) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u615), _u617), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u616), _u617)) )).
% 15.21/15.40 cnf(matrix-398, plain, ( ( _u619 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u618, _u619) )).
% 15.21/15.40 cnf(matrix-399, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u623), _u625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u627), _u625)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u625) )).
% 15.21/15.40 cnf(matrix-400, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u623), _u625), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u627), _u625)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u623, _u627) )).
% 15.21/15.40 cnf(matrix-401, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u626) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u624, _u628) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u624), _u626), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u628), _u626)) )).
% 15.21/15.40 cnf(matrix-402, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u634), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u636)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u632) )).
% 15.21/15.40 cnf(matrix-403, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u634), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u632), _u636)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u634, _u636) )).
% 15.21/15.40 cnf(matrix-404, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u633) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u635, _u637) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u635), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u637)) )).
% 15.21/15.40 cnf(matrix-405, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u638, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-406, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u641), _u643)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u641) )).
% 15.21/15.40 cnf(matrix-407, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u641), _u643)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u643) )).
% 15.21/15.40 cnf(matrix-408, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u642) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u644) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u642), _u644)) )).
% 15.21/15.40 cnf(matrix-409, plain, ( ( _u646 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u646) )).
% 15.21/15.40 cnf(matrix-410, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u647) | ( _u647 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-411, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u648, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-412, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u651, _u653) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u651, _u653) )).
% 15.21/15.40 cnf(matrix-413, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u651, _u653) | ( _u651 != _u653) )).
% 15.21/15.40 cnf(matrix-414, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u652, _u654) | ( _u652 = _u654) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u652, _u654) )).
% 15.21/15.40 cnf(matrix-415, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u657, _u659) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u657, _u659) | ( _u657 = _u659) )).
% 15.21/15.40 cnf(matrix-416, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u658, _u660) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u658, _u660) )).
% 15.21/15.40 cnf(matrix-417, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u658, _u660) | ( _u658 != _u660) )).
% 15.21/15.40 cnf(matrix-418, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u661) = _u661) )).
% 15.21/15.40 cnf(matrix-419, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u662, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u662) )).
% 15.21/15.40 cnf(matrix-420, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u665, _u667) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u665 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-421, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u665, _u667) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u667 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-422, plain, ( ( _u666 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u668 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u666, _u668) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-423, plain, ( ( _u670 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, _u670) != _u669) )).
% 15.21/15.40 cnf(matrix-424, plain, ( ~class_Fields_Ofield__inverse__zero(_u671) | ( c_Rings_Oinverse__class_Oinverse(_u671, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u671), _u672), _u673)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u671), c_Rings_Oinverse__class_Oinverse(_u671, _u672)), c_Rings_Oinverse__class_Oinverse(_u671, _u673))) )).
% 15.21/15.40 cnf(matrix-425, plain, ( ~class_Rings_Odivision__ring(_u674) | ( c_Rings_Oinverse__class_Oinverse(_u674, c_Groups_Oone__class_Oone(_u674)) = c_Groups_Oone__class_Oone(_u674)) )).
% 15.21/15.40 cnf(matrix-426, plain, ( ~class_Fields_Ofield__inverse__zero(_u675) | ( c_Rings_Oinverse__class_Oinverse(_u675, _u676) != c_Groups_Oone__class_Oone(_u675)) | ( _u676 = c_Groups_Oone__class_Oone(_u675)) )).
% 15.21/15.40 cnf(matrix-427, plain, ( ~class_Fields_Ofield__inverse__zero(_u675) | ( _u676 != c_Groups_Oone__class_Oone(_u675)) | ( c_Rings_Oinverse__class_Oinverse(_u675, _u676) = c_Groups_Oone__class_Oone(_u675)) )).
% 15.21/15.40 cnf(matrix-428, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u677, _u678), _u677) )).
% 15.21/15.40 cnf(matrix-429, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u680), _u680) )).
% 15.21/15.40 cnf(matrix-430, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u686, _u688) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u684, _u686), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u684, _u688)) )).
% 15.21/15.40 cnf(matrix-431, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u687, _u689) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u685, _u687), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u685, _u689)) )).
% 15.21/15.40 cnf(matrix-432, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u691, _u692)) )).
% 15.21/15.40 cnf(matrix-433, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u693, _u694) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u693, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u695, _u694)) )).
% 15.21/15.40 cnf(matrix-434, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u696, _u697) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u696, _u698), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u697, _u698)) )).
% 15.21/15.40 cnf(matrix-435, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u699, _u700) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u701, _u702) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u699, _u701), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u700, _u702)) )).
% 15.21/15.40 cnf(matrix-436, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u703, _u704) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u705, _u704) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u703, _u706)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u705, _u706) )).
% 15.21/15.40 cnf(matrix-437, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u707, _u708), _u709) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u707, _u709) )).
% 15.21/15.40 cnf(matrix-438, plain, ( ( _u710 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u711), _u710) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u712), _u710)) | ( _u711 = _u712) )).
% 15.21/15.40 cnf(matrix-439, plain, ( ( _u710 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u711 != _u712) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u711), _u710) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u712), _u710)) )).
% 15.21/15.40 cnf(matrix-440, plain, ( ( _u713 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u714) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u715)) | ( _u714 = _u715) )).
% 15.21/15.40 cnf(matrix-441, plain, ( ( _u713 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u714 != _u715) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u714) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u713), _u715)) )).
% 15.21/15.40 cnf(matrix-442, plain, ( ( _u716 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u716), _u717)) | ( _u717 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u716 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-443, plain, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-444, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u718, _u719) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u720, _u718), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u720, _u719)) )).
% 15.21/15.40 cnf(matrix-445, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u721) = _u721) )).
% 15.21/15.40 cnf(matrix-446, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u722, _u723)), _u724) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u722), _u724), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u723), _u724))) )).
% 15.21/15.40 cnf(matrix-447, plain, ( ( c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-448, plain, ( ~class_Rings_Oordered__cancel__semiring(_u725) | c_Orderings_Oord__class_Oless__eq(_u725, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u725), _u726), _u727), c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, c_Groups_Ozero__class_Ozero(_u725), _u726) | ~c_Orderings_Oord__class_Oless__eq(_u725, _u727, c_Groups_Ozero__class_Ozero(_u725)) )).
% 15.21/15.40 cnf(matrix-449, plain, ( ~class_Rings_Oordered__cancel__semiring(_u725) | c_Orderings_Oord__class_Oless__eq(_u725, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u725), _u726), _u727), c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, _u726, c_Groups_Ozero__class_Ozero(_u725)) | ~c_Orderings_Oord__class_Oless__eq(_u725, c_Groups_Ozero__class_Ozero(_u725), _u727) )).
% 15.21/15.40 cnf(matrix-450, plain, ( ~class_Rings_Oordered__ring(_u728) | c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u728), _u729), _u730)) | ~c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), _u729) | ~c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), _u730) )).
% 15.21/15.40 cnf(matrix-451, plain, ( ~class_Rings_Oordered__ring(_u728) | c_Orderings_Oord__class_Oless__eq(_u728, c_Groups_Ozero__class_Ozero(_u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u728), _u729), _u730)) | ~c_Orderings_Oord__class_Oless__eq(_u728, _u729, c_Groups_Ozero__class_Ozero(_u728)) | ~c_Orderings_Oord__class_Oless__eq(_u728, _u730, c_Groups_Ozero__class_Ozero(_u728)) )).
% 15.21/15.40 cnf(matrix-452, plain, ( ~class_Rings_Oordered__semiring(_u731) | ~c_Orderings_Oord__class_Oless__eq(_u731, _u732, _u733) | ~c_Orderings_Oord__class_Oless__eq(_u731, _u734, _u735) | ~c_Orderings_Oord__class_Oless__eq(_u731, c_Groups_Ozero__class_Ozero(_u731), _u733) | ~c_Orderings_Oord__class_Oless__eq(_u731, c_Groups_Ozero__class_Ozero(_u731), _u734) | c_Orderings_Oord__class_Oless__eq(_u731, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u731), _u732), _u734), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u731), _u733), _u735)) )).
% 15.21/15.40 cnf(matrix-453, plain, ( ~class_Rings_Oordered__semiring(_u736) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u737, _u738) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u739, _u740) | ~c_Orderings_Oord__class_Oless__eq(_u736, c_Groups_Ozero__class_Ozero(_u736), _u737) | ~c_Orderings_Oord__class_Oless__eq(_u736, c_Groups_Ozero__class_Ozero(_u736), _u739) | c_Orderings_Oord__class_Oless__eq(_u736, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u736), _u737), _u739), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u736), _u738), _u740)) )).
% 15.21/15.40 cnf(matrix-454, plain, ( ~class_Rings_Oordered__ring(_u741) | ~c_Orderings_Oord__class_Oless__eq(_u741, _u742, _u743) | ~c_Orderings_Oord__class_Oless__eq(_u741, _u744, c_Groups_Ozero__class_Ozero(_u741)) | c_Orderings_Oord__class_Oless__eq(_u741, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u741), _u744), _u743), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u741), _u744), _u742)) )).
% 15.21/15.40 cnf(matrix-455, plain, ( ~class_Rings_Oordered__ring(_u745) | ~c_Orderings_Oord__class_Oless__eq(_u745, _u746, _u747) | ~c_Orderings_Oord__class_Oless__eq(_u745, _u748, c_Groups_Ozero__class_Ozero(_u745)) | c_Orderings_Oord__class_Oless__eq(_u745, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u745), _u747), _u748), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u745), _u746), _u748)) )).
% 15.21/15.40 cnf(matrix-456, plain, ( ~class_Rings_Oordered__comm__semiring(_u749) | ~c_Orderings_Oord__class_Oless__eq(_u749, _u750, _u751) | ~c_Orderings_Oord__class_Oless__eq(_u749, c_Groups_Ozero__class_Ozero(_u749), _u752) | c_Orderings_Oord__class_Oless__eq(_u749, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u749), _u752), _u750), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u749), _u752), _u751)) )).
% 15.21/15.40 cnf(matrix-457, plain, ( ~class_Rings_Oordered__semiring(_u753) | ~c_Orderings_Oord__class_Oless__eq(_u753, _u754, _u755) | ~c_Orderings_Oord__class_Oless__eq(_u753, c_Groups_Ozero__class_Ozero(_u753), _u756) | c_Orderings_Oord__class_Oless__eq(_u753, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u753), _u756), _u754), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u753), _u756), _u755)) )).
% 15.21/15.40 cnf(matrix-458, plain, ( ~class_Rings_Oordered__semiring(_u757) | ~c_Orderings_Oord__class_Oless__eq(_u757, _u758, _u759) | ~c_Orderings_Oord__class_Oless__eq(_u757, c_Groups_Ozero__class_Ozero(_u757), _u760) | c_Orderings_Oord__class_Oless__eq(_u757, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u757), _u758), _u760), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u757), _u759), _u760)) )).
% 15.21/15.40 cnf(matrix-459, plain, ( ~class_Rings_Oordered__ring(_u761) | ~c_Orderings_Oord__class_Oless__eq(_u761, _u762, c_Groups_Ozero__class_Ozero(_u761)) | ~c_Orderings_Oord__class_Oless__eq(_u761, _u763, c_Groups_Ozero__class_Ozero(_u761)) | c_Orderings_Oord__class_Oless__eq(_u761, c_Groups_Ozero__class_Ozero(_u761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u761), _u762), _u763)) )).
% 15.21/15.40 cnf(matrix-460, plain, ( ~class_Rings_Oordered__cancel__semiring(_u764) | ~c_Orderings_Oord__class_Oless__eq(_u764, _u765, c_Groups_Ozero__class_Ozero(_u764)) | ~c_Orderings_Oord__class_Oless__eq(_u764, c_Groups_Ozero__class_Ozero(_u764), _u766) | c_Orderings_Oord__class_Oless__eq(_u764, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u764), _u765), _u766), c_Groups_Ozero__class_Ozero(_u764)) )).
% 15.21/15.40 cnf(matrix-461, plain, ( ~class_Rings_Oordered__cancel__semiring(_u767) | ~c_Orderings_Oord__class_Oless__eq(_u767, c_Groups_Ozero__class_Ozero(_u767), _u768) | ~c_Orderings_Oord__class_Oless__eq(_u767, _u769, c_Groups_Ozero__class_Ozero(_u767)) | c_Orderings_Oord__class_Oless__eq(_u767, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u767), _u769), _u768), c_Groups_Ozero__class_Ozero(_u767)) )).
% 15.21/15.40 cnf(matrix-462, plain, ( ~class_Rings_Oordered__cancel__semiring(_u770) | ~c_Orderings_Oord__class_Oless__eq(_u770, c_Groups_Ozero__class_Ozero(_u770), _u771) | ~c_Orderings_Oord__class_Oless__eq(_u770, _u772, c_Groups_Ozero__class_Ozero(_u770)) | c_Orderings_Oord__class_Oless__eq(_u770, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u770), _u771), _u772), c_Groups_Ozero__class_Ozero(_u770)) )).
% 15.21/15.40 cnf(matrix-463, plain, ( ~class_Rings_Oordered__cancel__semiring(_u773) | ~c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), _u774) | ~c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), _u775) | c_Orderings_Oord__class_Oless__eq(_u773, c_Groups_Ozero__class_Ozero(_u773), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u773), _u774), _u775)) )).
% 15.21/15.40 cnf(matrix-464, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.40 cnf(matrix-465, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.40 cnf(matrix-466, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.40 cnf(matrix-467, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | ~c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) | c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.40 cnf(matrix-468, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u777) | ~c_Orderings_Oord__class_Oless__eq(_u776, _u778, c_Groups_Ozero__class_Ozero(_u776)) )).
% 15.21/15.40 cnf(matrix-469, plain, ( ~class_Rings_Olinordered__ring__strict(_u776) | c_Orderings_Oord__class_Oless__eq(_u776, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u776), _u777), _u778), c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, _u777, c_Groups_Ozero__class_Ozero(_u776)) | ~c_Orderings_Oord__class_Oless__eq(_u776, c_Groups_Ozero__class_Ozero(_u776), _u778) )).
% 15.21/15.40 cnf(matrix-470, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.40 cnf(matrix-471, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.40 cnf(matrix-472, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) | c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.40 cnf(matrix-473, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) | c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.40 cnf(matrix-474, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u780) | ~c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), _u781) )).
% 15.21/15.40 cnf(matrix-475, plain, ( ~class_Rings_Olinordered__ring__strict(_u779) | c_Orderings_Oord__class_Oless__eq(_u779, c_Groups_Ozero__class_Ozero(_u779), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u779), _u780), _u781)) | ~c_Orderings_Oord__class_Oless__eq(_u779, _u780, c_Groups_Ozero__class_Ozero(_u779)) | ~c_Orderings_Oord__class_Oless__eq(_u779, _u781, c_Groups_Ozero__class_Ozero(_u779)) )).
% 15.21/15.40 cnf(matrix-476, plain, ( ~class_Rings_Olinordered__ring(_u782) | c_Orderings_Oord__class_Oless__eq(_u782, c_Groups_Ozero__class_Ozero(_u782), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), _u783), _u783)) )).
% 15.21/15.40 cnf(matrix-477, plain, ( ~class_Rings_Olinordered__ring(_u784) | ~c_Orderings_Oord__class_Oless(_u784, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u784), _u785), _u785), c_Groups_Ozero__class_Ozero(_u784)) )).
% 15.21/15.40 cnf(matrix-478, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) )).
% 15.21/15.40 cnf(matrix-479, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.40 cnf(matrix-480, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, _u787, _u789) | c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) )).
% 15.21/15.40 cnf(matrix-481, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | ~c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | c_Orderings_Oord__class_Oless(_u786, _u787, _u789) | c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.40 cnf(matrix-482, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | ~c_Orderings_Oord__class_Oless(_u786, c_Groups_Ozero__class_Ozero(_u786), _u788) | ~c_Orderings_Oord__class_Oless(_u786, _u787, _u789) )).
% 15.21/15.40 cnf(matrix-483, plain, ( ~class_Rings_Olinordered__ring__strict(_u786) | c_Orderings_Oord__class_Oless(_u786, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u787), _u788), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u786), _u789), _u788)) | ~c_Orderings_Oord__class_Oless(_u786, _u788, c_Groups_Ozero__class_Ozero(_u786)) | ~c_Orderings_Oord__class_Oless(_u786, _u789, _u787) )).
% 15.21/15.40 cnf(matrix-484, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) )).
% 15.21/15.40 cnf(matrix-485, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.40 cnf(matrix-486, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, _u792, _u793) | c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) )).
% 15.21/15.40 cnf(matrix-487, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | ~c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | c_Orderings_Oord__class_Oless(_u790, _u792, _u793) | c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.40 cnf(matrix-488, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | ~c_Orderings_Oord__class_Oless(_u790, c_Groups_Ozero__class_Ozero(_u790), _u791) | ~c_Orderings_Oord__class_Oless(_u790, _u792, _u793) )).
% 15.21/15.40 cnf(matrix-489, plain, ( ~class_Rings_Olinordered__ring__strict(_u790) | c_Orderings_Oord__class_Oless(_u790, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u790), _u791), _u793)) | ~c_Orderings_Oord__class_Oless(_u790, _u791, c_Groups_Ozero__class_Ozero(_u790)) | ~c_Orderings_Oord__class_Oless(_u790, _u793, _u792) )).
% 15.21/15.40 cnf(matrix-490, plain, ( ~class_Rings_Olinordered__ring__strict(_u794) | ~c_Orderings_Oord__class_Oless(_u794, c_Groups_Ozero__class_Ozero(_u794), _u795) | ~c_Orderings_Oord__class_Oless(_u794, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u797)) | c_Orderings_Oord__class_Oless(_u794, _u796, _u797) )).
% 15.21/15.40 cnf(matrix-491, plain, ( ~class_Rings_Olinordered__ring__strict(_u794) | ~c_Orderings_Oord__class_Oless(_u794, c_Groups_Ozero__class_Ozero(_u794), _u795) | ~c_Orderings_Oord__class_Oless(_u794, _u796, _u797) | c_Orderings_Oord__class_Oless(_u794, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u794), _u795), _u797)) )).
% 15.21/15.40 cnf(matrix-492, plain, ( ~class_Rings_Olinordered__semiring__strict(_u798) | ~c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), _u799) | ~c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), _u800) | c_Orderings_Oord__class_Oless(_u798, c_Groups_Ozero__class_Ozero(_u798), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u798), _u799), _u800)) )).
% 15.21/15.40 cnf(matrix-493, plain, ( ~class_Rings_Olinordered__semiring__strict(_u801) | ~c_Orderings_Oord__class_Oless(_u801, c_Groups_Ozero__class_Ozero(_u801), _u802) | ~c_Orderings_Oord__class_Oless(_u801, _u803, c_Groups_Ozero__class_Ozero(_u801)) | c_Orderings_Oord__class_Oless(_u801, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u801), _u802), _u803), c_Groups_Ozero__class_Ozero(_u801)) )).
% 15.21/15.40 cnf(matrix-494, plain, ( ~class_Rings_Olinordered__semiring__strict(_u804) | ~c_Orderings_Oord__class_Oless(_u804, c_Groups_Ozero__class_Ozero(_u804), _u805) | ~c_Orderings_Oord__class_Oless(_u804, _u806, c_Groups_Ozero__class_Ozero(_u804)) | c_Orderings_Oord__class_Oless(_u804, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u804), _u806), _u805), c_Groups_Ozero__class_Ozero(_u804)) )).
% 15.21/15.40 cnf(matrix-495, plain, ( ~class_Rings_Olinordered__semiring__strict(_u807) | ~c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u807), _u808), _u809)) | ~c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), _u808) | c_Orderings_Oord__class_Oless(_u807, c_Groups_Ozero__class_Ozero(_u807), _u809) )).
% 15.21/15.40 cnf(matrix-496, plain, ( ~class_Rings_Olinordered__semiring__strict(_u810) | ~c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u810), _u811), _u812)) | ~c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), _u812) | c_Orderings_Oord__class_Oless(_u810, c_Groups_Ozero__class_Ozero(_u810), _u811) )).
% 15.21/15.40 cnf(matrix-497, plain, ( ~class_Rings_Olinordered__ring__strict(_u813) | ~c_Orderings_Oord__class_Oless(_u813, _u814, c_Groups_Ozero__class_Ozero(_u813)) | ~c_Orderings_Oord__class_Oless(_u813, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u815), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u816)) | c_Orderings_Oord__class_Oless(_u813, _u816, _u815) )).
% 15.21/15.40 cnf(matrix-498, plain, ( ~class_Rings_Olinordered__ring__strict(_u813) | ~c_Orderings_Oord__class_Oless(_u813, _u814, c_Groups_Ozero__class_Ozero(_u813)) | ~c_Orderings_Oord__class_Oless(_u813, _u816, _u815) | c_Orderings_Oord__class_Oless(_u813, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u815), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u813), _u814), _u816)) )).
% 15.21/15.40 cnf(matrix-499, plain, ( ~class_Rings_Olinordered__semiring__strict(_u817) | ~c_Orderings_Oord__class_Oless(_u817, _u818, c_Groups_Ozero__class_Ozero(_u817)) | ~c_Orderings_Oord__class_Oless(_u817, c_Groups_Ozero__class_Ozero(_u817), _u819) | c_Orderings_Oord__class_Oless(_u817, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u817), _u818), _u819), c_Groups_Ozero__class_Ozero(_u817)) )).
% 15.21/15.40 cnf(matrix-500, plain, ( ~class_Rings_Olinordered__ring__strict(_u820) | ~c_Orderings_Oord__class_Oless(_u820, _u821, c_Groups_Ozero__class_Ozero(_u820)) | ~c_Orderings_Oord__class_Oless(_u820, _u822, c_Groups_Ozero__class_Ozero(_u820)) | c_Orderings_Oord__class_Oless(_u820, c_Groups_Ozero__class_Ozero(_u820), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u820), _u821), _u822)) )).
% 15.21/15.40 cnf(matrix-501, plain, ( ~class_Rings_Olinordered__semiring__strict(_u823) | ~c_Orderings_Oord__class_Oless(_u823, _u824, _u825) | ~c_Orderings_Oord__class_Oless(_u823, c_Groups_Ozero__class_Ozero(_u823), _u826) | c_Orderings_Oord__class_Oless(_u823, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u823), _u824), _u826), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u823), _u825), _u826)) )).
% 15.21/15.40 cnf(matrix-502, plain, ( ~class_Rings_Olinordered__semiring__strict(_u827) | ~c_Orderings_Oord__class_Oless(_u827, _u828, _u829) | ~c_Orderings_Oord__class_Oless(_u827, c_Groups_Ozero__class_Ozero(_u827), _u830) | c_Orderings_Oord__class_Oless(_u827, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u827), _u830), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u827), _u830), _u829)) )).
% 15.21/15.40 cnf(matrix-503, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u831) | ~c_Orderings_Oord__class_Oless(_u831, _u832, _u833) | ~c_Orderings_Oord__class_Oless(_u831, c_Groups_Ozero__class_Ozero(_u831), _u834) | c_Orderings_Oord__class_Oless(_u831, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u831), _u834), _u832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u831), _u834), _u833)) )).
% 15.21/15.40 cnf(matrix-504, plain, ( ~class_Rings_Olinordered__ring__strict(_u835) | ~c_Orderings_Oord__class_Oless(_u835, _u836, _u837) | ~c_Orderings_Oord__class_Oless(_u835, _u838, c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless(_u835, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u835), _u837), _u838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u835), _u836), _u838)) )).
% 15.21/15.40 cnf(matrix-505, plain, ( ~class_Rings_Olinordered__ring__strict(_u839) | ~c_Orderings_Oord__class_Oless(_u839, _u840, _u841) | ~c_Orderings_Oord__class_Oless(_u839, _u842, c_Groups_Ozero__class_Ozero(_u839)) | c_Orderings_Oord__class_Oless(_u839, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u839), _u842), _u841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u839), _u842), _u840)) )).
% 15.21/15.40 cnf(matrix-506, plain, ( ~class_Rings_Olinordered__semidom(_u843) | ~c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), _u844) | ~c_Orderings_Oord__class_Oless(_u843, _u845, _u846) | c_Orderings_Oord__class_Oless(_u843, _u845, c_Groups_Oplus__class_Oplus(_u843, _u844, _u846)) )).
% 15.21/15.40 cnf(matrix-507, plain, ( ~class_Rings_Olinordered__semidom(_u847) | c_Orderings_Oord__class_Oless__eq(_u847, c_Groups_Ozero__class_Ozero(_u847), c_Groups_Oone__class_Oone(_u847)) )).
% 15.21/15.40 cnf(matrix-508, plain, ( ~class_Rings_Olinordered__semidom(_u848) | ~c_Orderings_Oord__class_Oless__eq(_u848, c_Groups_Oone__class_Oone(_u848), c_Groups_Ozero__class_Ozero(_u848)) )).
% 15.21/15.40 cnf(matrix-509, plain, ( ~class_Rings_Olinordered__semidom(_u849) | ~c_Orderings_Oord__class_Oless(_u849, c_Groups_Oone__class_Oone(_u849), c_Groups_Ozero__class_Ozero(_u849)) )).
% 15.21/15.40 cnf(matrix-510, plain, ( ~class_Rings_Olinordered__semidom(_u850) | c_Orderings_Oord__class_Oless(_u850, c_Groups_Ozero__class_Ozero(_u850), c_Groups_Oone__class_Oone(_u850)) )).
% 15.21/15.40 cnf(matrix-511, plain, ( ~class_Rings_Olinordered__semidom(_u851) | ~c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), _u852) | ~c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), _u853) | c_Orderings_Oord__class_Oless(_u851, c_Groups_Oone__class_Oone(_u851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u851), _u852), _u853)) )).
% 15.21/15.40 cnf(matrix-512, plain, ( ~class_Rings_Olinordered__semidom(_u854) | c_Orderings_Oord__class_Oless(_u854, _u855, c_Groups_Oplus__class_Oplus(_u854, _u855, c_Groups_Oone__class_Oone(_u854))) )).
% 15.21/15.40 cnf(matrix-513, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u856) | ~c_Orderings_Oord__class_Oless__eq(_u856, c_Rings_Oinverse__class_Oinverse(_u856, _u857), c_Groups_Ozero__class_Ozero(_u856)) | c_Orderings_Oord__class_Oless__eq(_u856, _u857, c_Groups_Ozero__class_Ozero(_u856)) )).
% 15.21/15.40 cnf(matrix-514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u856) | ~c_Orderings_Oord__class_Oless__eq(_u856, _u857, c_Groups_Ozero__class_Ozero(_u856)) | c_Orderings_Oord__class_Oless__eq(_u856, c_Rings_Oinverse__class_Oinverse(_u856, _u857), c_Groups_Ozero__class_Ozero(_u856)) )).
% 15.21/15.40 cnf(matrix-515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u858) | ~c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), c_Rings_Oinverse__class_Oinverse(_u858, _u859)) | c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), _u859) )).
% 15.21/15.40 cnf(matrix-516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u858) | ~c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), _u859) | c_Orderings_Oord__class_Oless__eq(_u858, c_Groups_Ozero__class_Ozero(_u858), c_Rings_Oinverse__class_Oinverse(_u858, _u859)) )).
% 15.21/15.40 cnf(matrix-517, plain, ( ~class_Fields_Olinordered__field(_u860) | ~c_Orderings_Oord__class_Oless(_u860, c_Rings_Oinverse__class_Oinverse(_u860, _u861), c_Rings_Oinverse__class_Oinverse(_u860, _u862)) | ~c_Orderings_Oord__class_Oless(_u860, _u862, c_Groups_Ozero__class_Ozero(_u860)) | c_Orderings_Oord__class_Oless(_u860, _u862, _u861) )).
% 15.21/15.40 cnf(matrix-518, plain, ( ~class_Fields_Olinordered__field(_u863) | ~c_Orderings_Oord__class_Oless(_u863, c_Rings_Oinverse__class_Oinverse(_u863, _u864), c_Rings_Oinverse__class_Oinverse(_u863, _u865)) | ~c_Orderings_Oord__class_Oless(_u863, c_Groups_Ozero__class_Ozero(_u863), _u864) | c_Orderings_Oord__class_Oless(_u863, _u865, _u864) )).
% 15.21/15.40 cnf(matrix-519, plain, ( ~class_Fields_Olinordered__field(_u866) | ~c_Orderings_Oord__class_Oless(_u866, c_Rings_Oinverse__class_Oinverse(_u866, _u867), c_Groups_Ozero__class_Ozero(_u866)) | ( _u867 = c_Groups_Ozero__class_Ozero(_u866)) | c_Orderings_Oord__class_Oless(_u866, _u867, c_Groups_Ozero__class_Ozero(_u866)) )).
% 15.21/15.40 cnf(matrix-520, plain, ( ~class_Fields_Olinordered__field(_u868) | ~c_Orderings_Oord__class_Oless(_u868, _u869, _u870) | ~c_Orderings_Oord__class_Oless(_u868, _u870, c_Groups_Ozero__class_Ozero(_u868)) | c_Orderings_Oord__class_Oless(_u868, c_Rings_Oinverse__class_Oinverse(_u868, _u870), c_Rings_Oinverse__class_Oinverse(_u868, _u869)) )).
% 15.21/15.40 cnf(matrix-521, plain, ( ~class_Fields_Olinordered__field(_u871) | ~c_Orderings_Oord__class_Oless(_u871, _u872, _u873) | ~c_Orderings_Oord__class_Oless(_u871, c_Groups_Ozero__class_Ozero(_u871), _u872) | c_Orderings_Oord__class_Oless(_u871, c_Rings_Oinverse__class_Oinverse(_u871, _u873), c_Rings_Oinverse__class_Oinverse(_u871, _u872)) )).
% 15.21/15.40 cnf(matrix-522, plain, ( ~class_Fields_Olinordered__field(_u874) | ~c_Orderings_Oord__class_Oless(_u874, _u875, c_Groups_Ozero__class_Ozero(_u874)) | c_Orderings_Oord__class_Oless(_u874, c_Rings_Oinverse__class_Oinverse(_u874, _u875), c_Groups_Ozero__class_Ozero(_u874)) )).
% 15.21/15.40 cnf(matrix-523, plain, ( ~class_Fields_Olinordered__field(_u876) | ~c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), c_Rings_Oinverse__class_Oinverse(_u876, _u877)) | ( _u877 = c_Groups_Ozero__class_Ozero(_u876)) | c_Orderings_Oord__class_Oless(_u876, c_Groups_Ozero__class_Ozero(_u876), _u877) )).
% 15.21/15.40 cnf(matrix-524, plain, ( ~class_Fields_Olinordered__field(_u878) | ~c_Orderings_Oord__class_Oless(_u878, c_Groups_Ozero__class_Ozero(_u878), _u879) | c_Orderings_Oord__class_Oless(_u878, c_Groups_Ozero__class_Ozero(_u878), c_Rings_Oinverse__class_Oinverse(_u878, _u879)) )).
% 15.21/15.40 cnf(matrix-525, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u880) | ~c_Orderings_Oord__class_Oless(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u881), c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless(_u880, _u881, c_Groups_Ozero__class_Ozero(_u880)) )).
% 15.21/15.40 cnf(matrix-526, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u880) | ~c_Orderings_Oord__class_Oless(_u880, _u881, c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u881), c_Groups_Ozero__class_Ozero(_u880)) )).
% 15.21/15.40 cnf(matrix-527, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u882) | ~c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), c_Rings_Oinverse__class_Oinverse(_u882, _u883)) | c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), _u883) )).
% 15.21/15.40 cnf(matrix-528, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u882) | ~c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), _u883) | c_Orderings_Oord__class_Oless(_u882, c_Groups_Ozero__class_Ozero(_u882), c_Rings_Oinverse__class_Oinverse(_u882, _u883)) )).
% 15.21/15.40 cnf(matrix-529, plain, ( ~class_Rings_Odivision__ring(_u884) | ( _u885 = c_Groups_Ozero__class_Ozero(_u884)) | ( _u886 = c_Groups_Ozero__class_Ozero(_u884)) | ( c_Rings_Oinverse__class_Oinverse(_u884, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u884), _u885), _u886)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u884), c_Rings_Oinverse__class_Oinverse(_u884, _u886)), c_Rings_Oinverse__class_Oinverse(_u884, _u885))) )).
% 15.21/15.40 cnf(matrix-530, plain, ( ~class_Rings_Odivision__ring(_u887) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u887), _u888), _u889) != c_Groups_Oone__class_Oone(_u887)) | ( c_Rings_Oinverse__class_Oinverse(_u887, _u888) = _u889) )).
% 15.21/15.40 cnf(matrix-531, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u892, _u894)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u892) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u894) )).
% 15.21/15.40 cnf(matrix-532, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u893, _u895)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u893) )).
% 15.21/15.40 cnf(matrix-533, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u893, _u895)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u895) )).
% 15.21/15.40 cnf(matrix-534, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u896) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u897), _u896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u898), _u896)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u897, _u898) )).
% 15.21/15.40 cnf(matrix-535, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u896) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u897, _u898) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u897), _u896), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u898), _u896)) )).
% 15.21/15.40 cnf(matrix-536, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u899) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u900) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u899), _u900)) )).
% 15.21/15.40 cnf(matrix-537, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u901) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u902, _u903) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u903)) )).
% 15.21/15.40 cnf(matrix-538, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u906), _u906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u908), _u908)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u906 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-539, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u906), _u906), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u908), _u908)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u908 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-540, plain, ( ( _u907 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u909 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u907), _u907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u909), _u909)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-541, plain, ( ~class_Rings_Olinordered__ring__strict(_u910) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless__eq(_u910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u913)) | c_Orderings_Oord__class_Oless__eq(_u910, _u912, _u913) )).
% 15.21/15.40 cnf(matrix-542, plain, ( ~class_Rings_Olinordered__ring__strict(_u910) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless__eq(_u910, _u912, _u913) | c_Orderings_Oord__class_Oless__eq(_u910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u910), _u911), _u913)) )).
% 15.21/15.40 cnf(matrix-543, plain, ( ~class_Rings_Olinordered__ring__strict(_u914) | ~c_Orderings_Oord__class_Oless(_u914, _u915, c_Groups_Ozero__class_Ozero(_u914)) | ~c_Orderings_Oord__class_Oless__eq(_u914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u917)) | c_Orderings_Oord__class_Oless__eq(_u914, _u917, _u916) )).
% 15.21/15.40 cnf(matrix-544, plain, ( ~class_Rings_Olinordered__ring__strict(_u914) | ~c_Orderings_Oord__class_Oless(_u914, _u915, c_Groups_Ozero__class_Ozero(_u914)) | ~c_Orderings_Oord__class_Oless__eq(_u914, _u917, _u916) | c_Orderings_Oord__class_Oless__eq(_u914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u916), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u914), _u915), _u917)) )).
% 15.21/15.40 cnf(matrix-545, plain, ( ~class_Rings_Olinordered__semiring__strict(_u918) | ~c_Orderings_Oord__class_Oless(_u918, _u919, _u920) | ~c_Orderings_Oord__class_Oless(_u918, _u921, _u922) | ~c_Orderings_Oord__class_Oless(_u918, c_Groups_Ozero__class_Ozero(_u918), _u920) | ~c_Orderings_Oord__class_Oless__eq(_u918, c_Groups_Ozero__class_Ozero(_u918), _u921) | c_Orderings_Oord__class_Oless(_u918, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u918), _u919), _u921), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u918), _u920), _u922)) )).
% 15.21/15.40 cnf(matrix-546, plain, ( ~class_Rings_Olinordered__semiring__strict(_u923) | ~c_Orderings_Oord__class_Oless(_u923, _u924, _u925) | ~c_Orderings_Oord__class_Oless(_u923, _u926, _u927) | ~c_Orderings_Oord__class_Oless__eq(_u923, c_Groups_Ozero__class_Ozero(_u923), _u924) | ~c_Orderings_Oord__class_Oless__eq(_u923, c_Groups_Ozero__class_Ozero(_u923), _u926) | c_Orderings_Oord__class_Oless(_u923, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u923), _u924), _u926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u923), _u925), _u927)) )).
% 15.21/15.40 cnf(matrix-547, plain, ( ~class_Rings_Olinordered__semiring__strict(_u928) | ~c_Orderings_Oord__class_Oless(_u928, _u929, _u930) | ~c_Orderings_Oord__class_Oless__eq(_u928, _u931, _u932) | ~c_Orderings_Oord__class_Oless__eq(_u928, c_Groups_Ozero__class_Ozero(_u928), _u929) | ~c_Orderings_Oord__class_Oless(_u928, c_Groups_Ozero__class_Ozero(_u928), _u931) | c_Orderings_Oord__class_Oless(_u928, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u928), _u929), _u931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u928), _u930), _u932)) )).
% 15.21/15.40 cnf(matrix-548, plain, ( ~class_Rings_Olinordered__semiring__strict(_u933) | ~c_Orderings_Oord__class_Oless__eq(_u933, _u934, _u935) | ~c_Orderings_Oord__class_Oless(_u933, _u936, _u937) | ~c_Orderings_Oord__class_Oless(_u933, c_Groups_Ozero__class_Ozero(_u933), _u934) | ~c_Orderings_Oord__class_Oless__eq(_u933, c_Groups_Ozero__class_Ozero(_u933), _u936) | c_Orderings_Oord__class_Oless(_u933, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u933), _u934), _u936), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u933), _u935), _u937)) )).
% 15.21/15.40 cnf(matrix-549, plain, ( ~class_Rings_Olinordered__semiring(_u938) | ~c_Orderings_Oord__class_Oless(_u938, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u938), _u939), _u940), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u938), _u941), _u940)) | ~c_Orderings_Oord__class_Oless__eq(_u938, c_Groups_Ozero__class_Ozero(_u938), _u940) | c_Orderings_Oord__class_Oless(_u938, _u939, _u941) )).
% 15.21/15.40 cnf(matrix-550, plain, ( ~class_Rings_Olinordered__semiring__strict(_u942) | ~c_Orderings_Oord__class_Oless(_u942, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u942), _u943), _u944), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u942), _u945), _u944)) | ~c_Orderings_Oord__class_Oless__eq(_u942, c_Groups_Ozero__class_Ozero(_u942), _u944) | c_Orderings_Oord__class_Oless(_u942, _u943, _u945) )).
% 15.21/15.40 cnf(matrix-551, plain, ( ~class_Rings_Olinordered__semiring(_u946) | ~c_Orderings_Oord__class_Oless(_u946, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u946), _u947), _u948), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u946), _u947), _u949)) | ~c_Orderings_Oord__class_Oless__eq(_u946, c_Groups_Ozero__class_Ozero(_u946), _u947) | c_Orderings_Oord__class_Oless(_u946, _u948, _u949) )).
% 15.21/15.40 cnf(matrix-552, plain, ( ~class_Rings_Olinordered__semiring__strict(_u950) | ~c_Orderings_Oord__class_Oless(_u950, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u950), _u951), _u952), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u950), _u951), _u953)) | ~c_Orderings_Oord__class_Oless__eq(_u950, c_Groups_Ozero__class_Ozero(_u950), _u951) | c_Orderings_Oord__class_Oless(_u950, _u952, _u953) )).
% 15.21/15.40 cnf(matrix-553, plain, ( ~class_Rings_Olinordered__semiring__strict(_u954) | ~c_Orderings_Oord__class_Oless__eq(_u954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u954), _u955), _u956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u954), _u957), _u956)) | ~c_Orderings_Oord__class_Oless(_u954, c_Groups_Ozero__class_Ozero(_u954), _u956) | c_Orderings_Oord__class_Oless__eq(_u954, _u955, _u957) )).
% 15.21/15.40 cnf(matrix-554, plain, ( ~class_Rings_Olinordered__semiring__strict(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u958), _u959), _u960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u958), _u959), _u961)) | ~c_Orderings_Oord__class_Oless(_u958, c_Groups_Ozero__class_Ozero(_u958), _u959) | c_Orderings_Oord__class_Oless__eq(_u958, _u960, _u961) )).
% 15.21/15.40 cnf(matrix-555, plain, ( ~class_Rings_Olinordered__idom(_u962) | ~c_Orderings_Oord__class_Oless__eq(_u962, c_Groups_Ozero__class_Ozero(_u962), _u963) | ~c_Orderings_Oord__class_Oless__eq(_u962, c_Groups_Ozero__class_Ozero(_u962), _u964) | ~c_Orderings_Oord__class_Oless__eq(_u962, _u964, c_Groups_Oone__class_Oone(_u962)) | c_Orderings_Oord__class_Oless__eq(_u962, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u962), _u963), _u964), _u963) )).
% 15.21/15.40 cnf(matrix-556, plain, ( ~class_Rings_Olinordered__idom(_u965) | ~c_Orderings_Oord__class_Oless__eq(_u965, c_Groups_Ozero__class_Ozero(_u965), _u966) | ~c_Orderings_Oord__class_Oless__eq(_u965, c_Groups_Ozero__class_Ozero(_u965), _u967) | ~c_Orderings_Oord__class_Oless__eq(_u965, _u967, c_Groups_Oone__class_Oone(_u965)) | c_Orderings_Oord__class_Oless__eq(_u965, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u965), _u967), _u966), _u966) )).
% 15.21/15.40 cnf(matrix-557, plain, ( ~class_Rings_Olinordered__semidom(_u968) | c_Orderings_Oord__class_Oless(_u968, c_Groups_Ozero__class_Ozero(_u968), c_Groups_Oplus__class_Oplus(_u968, c_Groups_Oone__class_Oone(_u968), c_Groups_Oone__class_Oone(_u968))) )).
% 15.21/15.40 cnf(matrix-558, plain, ( ~class_Fields_Olinordered__field(_u969) | ~c_Orderings_Oord__class_Oless__eq(_u969, c_Rings_Oinverse__class_Oinverse(_u969, _u970), c_Rings_Oinverse__class_Oinverse(_u969, _u971)) | ~c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ozero__class_Ozero(_u969)) | c_Orderings_Oord__class_Oless__eq(_u969, _u971, _u970) )).
% 15.21/15.40 cnf(matrix-559, plain, ( ~class_Fields_Olinordered__field(_u972) | ~c_Orderings_Oord__class_Oless__eq(_u972, c_Rings_Oinverse__class_Oinverse(_u972, _u973), c_Rings_Oinverse__class_Oinverse(_u972, _u974)) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ozero__class_Ozero(_u972), _u973) | c_Orderings_Oord__class_Oless__eq(_u972, _u974, _u973) )).
% 15.21/15.40 cnf(matrix-560, plain, ( ~class_Fields_Olinordered__field(_u975) | ~c_Orderings_Oord__class_Oless__eq(_u975, _u976, _u977) | ~c_Orderings_Oord__class_Oless(_u975, _u977, c_Groups_Ozero__class_Ozero(_u975)) | c_Orderings_Oord__class_Oless__eq(_u975, c_Rings_Oinverse__class_Oinverse(_u975, _u977), c_Rings_Oinverse__class_Oinverse(_u975, _u976)) )).
% 15.21/15.40 cnf(matrix-561, plain, ( ~class_Fields_Olinordered__field(_u978) | ~c_Orderings_Oord__class_Oless__eq(_u978, _u979, _u980) | ~c_Orderings_Oord__class_Oless(_u978, c_Groups_Ozero__class_Ozero(_u978), _u979) | c_Orderings_Oord__class_Oless__eq(_u978, c_Rings_Oinverse__class_Oinverse(_u978, _u980), c_Rings_Oinverse__class_Oinverse(_u978, _u979)) )).
% 15.21/15.40 cnf(matrix-562, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | ~c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | c_Orderings_Oord__class_Oless__eq(_u981, _u982, c_Groups_Ozero__class_Ozero(_u981)) | c_Orderings_Oord__class_Oless__eq(_u981, c_Groups_Oone__class_Oone(_u981), _u982) )).
% 15.21/15.40 cnf(matrix-563, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | ~c_Orderings_Oord__class_Oless__eq(_u981, _u982, c_Groups_Ozero__class_Ozero(_u981)) )).
% 15.21/15.40 cnf(matrix-564, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u981) | c_Orderings_Oord__class_Oless__eq(_u981, c_Rings_Oinverse__class_Oinverse(_u981, _u982), c_Groups_Oone__class_Oone(_u981)) | ~c_Orderings_Oord__class_Oless__eq(_u981, c_Groups_Oone__class_Oone(_u981), _u982) )).
% 15.21/15.40 cnf(matrix-565, plain, ( ~class_Rings_Odivision__ring(_u983) | ( _u984 = c_Groups_Ozero__class_Ozero(_u983)) | ( _u985 = c_Groups_Ozero__class_Ozero(_u983)) | ( c_Groups_Oplus__class_Oplus(_u983, c_Rings_Oinverse__class_Oinverse(_u983, _u984), c_Rings_Oinverse__class_Oinverse(_u983, _u985)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u983), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u983), c_Rings_Oinverse__class_Oinverse(_u983, _u984)), c_Groups_Oplus__class_Oplus(_u983, _u984, _u985))), c_Rings_Oinverse__class_Oinverse(_u983, _u985))) )).
% 15.21/15.40 cnf(matrix-566, plain, ( ~class_Fields_Ofield(_u986) | ( _u987 = c_Groups_Ozero__class_Ozero(_u986)) | ( _u988 = c_Groups_Ozero__class_Ozero(_u986)) | ( c_Groups_Oplus__class_Oplus(_u986, c_Rings_Oinverse__class_Oinverse(_u986, _u987), c_Rings_Oinverse__class_Oinverse(_u986, _u988)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u986), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u986), c_Groups_Oplus__class_Oplus(_u986, _u987, _u988)), c_Rings_Oinverse__class_Oinverse(_u986, _u987))), c_Rings_Oinverse__class_Oinverse(_u986, _u988))) )).
% 15.21/15.40 cnf(matrix-567, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) | c_Orderings_Oord__class_Oless(_u989, c_Groups_Ozero__class_Ozero(_u989), _u990) )).
% 15.21/15.40 cnf(matrix-568, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) | c_Orderings_Oord__class_Oless(_u989, _u990, c_Groups_Oone__class_Oone(_u989)) )).
% 15.21/15.40 cnf(matrix-569, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u989) | ~c_Orderings_Oord__class_Oless(_u989, c_Groups_Ozero__class_Ozero(_u989), _u990) | ~c_Orderings_Oord__class_Oless(_u989, _u990, c_Groups_Oone__class_Oone(_u989)) | c_Orderings_Oord__class_Oless(_u989, c_Groups_Oone__class_Oone(_u989), c_Rings_Oinverse__class_Oinverse(_u989, _u990)) )).
% 15.21/15.40 cnf(matrix-570, plain, ( ~class_Fields_Olinordered__field(_u991) | ~c_Orderings_Oord__class_Oless(_u991, c_Groups_Ozero__class_Ozero(_u991), _u992) | ~c_Orderings_Oord__class_Oless(_u991, _u992, c_Groups_Oone__class_Oone(_u991)) | c_Orderings_Oord__class_Oless(_u991, c_Groups_Oone__class_Oone(_u991), c_Rings_Oinverse__class_Oinverse(_u991, _u992)) )).
% 15.21/15.40 cnf(matrix-571, plain, ( ~class_Rings_Odivision__ring(_u993) | ( _u994 = c_Groups_Ozero__class_Ozero(_u993)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u993), _u994), c_Rings_Oinverse__class_Oinverse(_u993, _u994)) = c_Groups_Oone__class_Oone(_u993)) )).
% 15.21/15.40 cnf(matrix-572, plain, ( ~class_Fields_Ofield(_u995) | ( _u996 = c_Groups_Ozero__class_Ozero(_u995)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u995), c_Rings_Oinverse__class_Oinverse(_u995, _u996)), _u996) = c_Groups_Oone__class_Oone(_u995)) )).
% 15.21/15.40 cnf(matrix-573, plain, ( ~class_Rings_Odivision__ring(_u997) | ( _u998 = c_Groups_Ozero__class_Ozero(_u997)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u997), c_Rings_Oinverse__class_Oinverse(_u997, _u998)), _u998) = c_Groups_Oone__class_Oone(_u997)) )).
% 15.21/15.40 cnf(matrix-574, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u999) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1000), _u999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1001), _u999)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1000, _u1001) )).
% 15.21/15.40 cnf(matrix-575, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u999) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1000, _u1001) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1000), _u999), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1001), _u999)) )).
% 15.21/15.40 cnf(matrix-576, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1002) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1004)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1003, _u1004) )).
% 15.21/15.40 cnf(matrix-577, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1002) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1003, _u1004) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1003), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1002), _u1004)) )).
% 15.21/15.40 cnf(matrix-578, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1005) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1006) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1006), _u1007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1005), _u1008)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1007), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1005)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1008), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1006))) )).
% 15.21/15.40 cnf(matrix-579, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1009) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1010) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1010), _u1011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1009), _u1012)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1009)), _u1011), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1010)), _u1012)) )).
% 15.21/15.40 cnf(matrix-580, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1013) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1015)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1014, _u1015) )).
% 15.21/15.40 cnf(matrix-581, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1013) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1014, _u1015) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1014), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1013), _u1015)) )).
% 15.21/15.40 cnf(matrix-582, plain, ( ~class_Rings_Olinordered__ring(_u1016) | ~c_Orderings_Oord__class_Oless(_u1016, c_Groups_Oplus__class_Oplus(_u1016, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1016), _u1017), _u1017), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1016), _u1018), _u1018)), c_Groups_Ozero__class_Ozero(_u1016)) )).
% 15.21/15.40 cnf(matrix-583, plain, ( ~class_Rings_Olinordered__ring__strict(_u1019) | ~c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1020 != c_Groups_Ozero__class_Ozero(_u1019)) | ( _u1021 != c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.40 cnf(matrix-584, plain, ( ~class_Rings_Olinordered__ring__strict(_u1019) | c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1020 = c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.40 cnf(matrix-585, plain, ( ~class_Rings_Olinordered__ring__strict(_u1019) | c_Orderings_Oord__class_Oless(_u1019, c_Groups_Ozero__class_Ozero(_u1019), c_Groups_Oplus__class_Oplus(_u1019, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1020), _u1020), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1019), _u1021), _u1021))) | ( _u1021 = c_Groups_Ozero__class_Ozero(_u1019)) )).
% 15.21/15.40 cnf(matrix-586, plain, ( ~class_Rings_Olinordered__ring(_u1022) | c_Orderings_Oord__class_Oless__eq(_u1022, c_Groups_Ozero__class_Ozero(_u1022), c_Groups_Oplus__class_Oplus(_u1022, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1022), _u1023), _u1023), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1022), _u1024), _u1024))) )).
% 15.21/15.40 cnf(matrix-587, plain, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ~c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1026 = c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.40 cnf(matrix-588, plain, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ~c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1027 = c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.40 cnf(matrix-589, plain, ( ~class_Rings_Olinordered__ring__strict(_u1025) | ( _u1026 != c_Groups_Ozero__class_Ozero(_u1025)) | ( _u1027 != c_Groups_Ozero__class_Ozero(_u1025)) | c_Orderings_Oord__class_Oless__eq(_u1025, c_Groups_Oplus__class_Oplus(_u1025, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1026), _u1026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1025), _u1027), _u1027)), c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.21/15.40 cnf(matrix-590, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1028) | ~c_Orderings_Oord__class_Oless(_u1028, c_Groups_Ozero__class_Ozero(_u1028), _u1029) | ~c_Orderings_Oord__class_Oless__eq(_u1028, c_Groups_Ozero__class_Ozero(_u1028), _u1030) | c_Orderings_Oord__class_Oless(_u1028, c_Groups_Ozero__class_Ozero(_u1028), c_Groups_Oplus__class_Oplus(_u1028, _u1029, _u1030)) )).
% 15.21/15.40 cnf(matrix-591, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1031) | ~c_Orderings_Oord__class_Oless__eq(_u1031, c_Groups_Ozero__class_Ozero(_u1031), _u1032) | ~c_Orderings_Oord__class_Oless(_u1031, c_Groups_Ozero__class_Ozero(_u1031), _u1033) | c_Orderings_Oord__class_Oless(_u1031, c_Groups_Ozero__class_Ozero(_u1031), c_Groups_Oplus__class_Oplus(_u1031, _u1032, _u1033)) )).
% 15.21/15.40 cnf(matrix-592, plain, ( ~class_Groups_Ozero(_u1034) | ( c_Groups_Ozero__class_Ozero(_u1034) != _u1035) | ( _u1035 = c_Groups_Ozero__class_Ozero(_u1034)) )).
% 15.21/15.40 cnf(matrix-593, plain, ( ~class_Groups_Ozero(_u1034) | ( _u1035 != c_Groups_Ozero__class_Ozero(_u1034)) | ( c_Groups_Ozero__class_Ozero(_u1034) = _u1035) )).
% 15.21/15.40 cnf(matrix-594, plain, ( ~class_Groups_Oab__semigroup__mult(_u1036) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1037), _u1038)), _u1039) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1037), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1036), _u1038), _u1039))) )).
% 15.21/15.40 cnf(matrix-595, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1040) | ( c_Groups_Oplus__class_Oplus(_u1040, _u1041, _u1042) != c_Groups_Oplus__class_Oplus(_u1040, _u1043, _u1042)) | ( _u1041 = _u1043) )).
% 15.21/15.40 cnf(matrix-596, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1044) | ( c_Groups_Oplus__class_Oplus(_u1044, _u1045, _u1046) != c_Groups_Oplus__class_Oplus(_u1044, _u1045, _u1047)) | ( _u1046 = _u1047) )).
% 15.21/15.40 cnf(matrix-597, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1048) | ( c_Groups_Oplus__class_Oplus(_u1048, _u1049, _u1050) != c_Groups_Oplus__class_Oplus(_u1048, _u1049, _u1051)) | ( _u1050 = _u1051) )).
% 15.21/15.40 cnf(matrix-598, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1052) | ( c_Groups_Oplus__class_Oplus(_u1052, _u1053, _u1054) != c_Groups_Oplus__class_Oplus(_u1052, _u1055, _u1054)) | ( _u1053 = _u1055) )).
% 15.21/15.40 cnf(matrix-599, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1052) | ( _u1053 != _u1055) | ( c_Groups_Oplus__class_Oplus(_u1052, _u1053, _u1054) = c_Groups_Oplus__class_Oplus(_u1052, _u1055, _u1054)) )).
% 15.21/15.40 cnf(matrix-600, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1056) | ( c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1058) != c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1059)) | ( _u1058 = _u1059) )).
% 15.21/15.40 cnf(matrix-601, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1056) | ( _u1058 != _u1059) | ( c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1058) = c_Groups_Oplus__class_Oplus(_u1056, _u1057, _u1059)) )).
% 15.21/15.40 cnf(matrix-602, plain, ( ~class_Groups_Oab__semigroup__add(_u1060) | ( c_Groups_Oplus__class_Oplus(_u1060, c_Groups_Oplus__class_Oplus(_u1060, _u1061, _u1062), _u1063) = c_Groups_Oplus__class_Oplus(_u1060, _u1061, c_Groups_Oplus__class_Oplus(_u1060, _u1062, _u1063))) )).
% 15.21/15.40 cnf(matrix-603, plain, ( ~class_Groups_Oone(_u1064) | ( c_Groups_Oone__class_Oone(_u1064) != _u1065) | ( _u1065 = c_Groups_Oone__class_Oone(_u1064)) )).
% 15.21/15.40 cnf(matrix-604, plain, ( ~class_Groups_Oone(_u1064) | ( _u1065 != c_Groups_Oone__class_Oone(_u1064)) | ( c_Groups_Oone__class_Oone(_u1064) = _u1065) )).
% 15.21/15.40 cnf(matrix-605, plain, ( ~class_Groups_Ocomm__monoid__add(_u1066) | ( c_Groups_Oplus__class_Oplus(_u1066, _u1067, c_Groups_Ozero__class_Ozero(_u1066)) = _u1067) )).
% 15.21/15.40 cnf(matrix-606, plain, ( ~class_Groups_Omonoid__add(_u1068) | ( c_Groups_Oplus__class_Oplus(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) = _u1069) )).
% 15.21/15.40 cnf(matrix-607, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ( c_Groups_Ozero__class_Ozero(_u1070) != c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) | ( _u1071 = c_Groups_Ozero__class_Ozero(_u1070)) )).
% 15.21/15.40 cnf(matrix-608, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ( _u1071 != c_Groups_Ozero__class_Ozero(_u1070)) | ( c_Groups_Ozero__class_Ozero(_u1070) = c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) )).
% 15.21/15.40 cnf(matrix-609, plain, ( ~class_Groups_Ocomm__monoid__add(_u1072) | ( c_Groups_Oplus__class_Oplus(_u1072, c_Groups_Ozero__class_Ozero(_u1072), _u1073) = _u1073) )).
% 15.21/15.40 cnf(matrix-610, plain, ( ~class_Groups_Omonoid__add(_u1074) | ( c_Groups_Oplus__class_Oplus(_u1074, c_Groups_Ozero__class_Ozero(_u1074), _u1075) = _u1075) )).
% 15.21/15.40 cnf(matrix-611, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1076) | ~c_Orderings_Oord__class_Oless__eq(_u1076, c_Groups_Oplus__class_Oplus(_u1076, _u1077, _u1078), c_Groups_Oplus__class_Oplus(_u1076, _u1077, _u1079)) | c_Orderings_Oord__class_Oless__eq(_u1076, _u1078, _u1079) )).
% 15.21/15.40 cnf(matrix-612, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1080) | ~c_Orderings_Oord__class_Oless__eq(_u1080, c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1082), c_Groups_Oplus__class_Oplus(_u1080, _u1083, _u1082)) | c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1083) )).
% 15.21/15.40 cnf(matrix-613, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1084) | ~c_Orderings_Oord__class_Oless__eq(_u1084, _u1085, _u1086) | ~c_Orderings_Oord__class_Oless__eq(_u1084, _u1087, _u1088) | c_Orderings_Oord__class_Oless__eq(_u1084, c_Groups_Oplus__class_Oplus(_u1084, _u1085, _u1087), c_Groups_Oplus__class_Oplus(_u1084, _u1086, _u1088)) )).
% 15.21/15.40 cnf(matrix-614, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, _u1091) | c_Orderings_Oord__class_Oless__eq(_u1089, c_Groups_Oplus__class_Oplus(_u1089, _u1092, _u1090), c_Groups_Oplus__class_Oplus(_u1089, _u1092, _u1091)) )).
% 15.21/15.40 cnf(matrix-615, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, _u1094, _u1095) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Oplus__class_Oplus(_u1093, _u1094, _u1096), c_Groups_Oplus__class_Oplus(_u1093, _u1095, _u1096)) )).
% 15.21/15.40 cnf(matrix-616, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1097, c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1099), c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1100)) | c_Orderings_Oord__class_Oless__eq(_u1097, _u1099, _u1100) )).
% 15.21/15.40 cnf(matrix-617, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1097, _u1099, _u1100) | c_Orderings_Oord__class_Oless__eq(_u1097, c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1099), c_Groups_Oplus__class_Oplus(_u1097, _u1098, _u1100)) )).
% 15.21/15.40 cnf(matrix-618, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1101) | ~c_Orderings_Oord__class_Oless__eq(_u1101, c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103), c_Groups_Oplus__class_Oplus(_u1101, _u1104, _u1103)) | c_Orderings_Oord__class_Oless__eq(_u1101, _u1102, _u1104) )).
% 15.21/15.40 cnf(matrix-619, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1101) | ~c_Orderings_Oord__class_Oless__eq(_u1101, _u1102, _u1104) | c_Orderings_Oord__class_Oless__eq(_u1101, c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103), c_Groups_Oplus__class_Oplus(_u1101, _u1104, _u1103)) )).
% 15.21/15.40 cnf(matrix-620, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1105) | ~c_Orderings_Oord__class_Oless(_u1105, c_Groups_Oplus__class_Oplus(_u1105, _u1106, _u1107), c_Groups_Oplus__class_Oplus(_u1105, _u1106, _u1108)) | c_Orderings_Oord__class_Oless(_u1105, _u1107, _u1108) )).
% 15.21/15.40 cnf(matrix-621, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1109) | ~c_Orderings_Oord__class_Oless(_u1109, c_Groups_Oplus__class_Oplus(_u1109, _u1110, _u1111), c_Groups_Oplus__class_Oplus(_u1109, _u1112, _u1111)) | c_Orderings_Oord__class_Oless(_u1109, _u1110, _u1112) )).
% 15.21/15.40 cnf(matrix-622, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, _u1115) | ~c_Orderings_Oord__class_Oless(_u1113, _u1116, _u1117) | c_Orderings_Oord__class_Oless(_u1113, c_Groups_Oplus__class_Oplus(_u1113, _u1114, _u1116), c_Groups_Oplus__class_Oplus(_u1113, _u1115, _u1117)) )).
% 15.21/15.40 cnf(matrix-623, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1118) | ~c_Orderings_Oord__class_Oless(_u1118, _u1119, _u1120) | c_Orderings_Oord__class_Oless(_u1118, c_Groups_Oplus__class_Oplus(_u1118, _u1121, _u1119), c_Groups_Oplus__class_Oplus(_u1118, _u1121, _u1120)) )).
% 15.21/15.40 cnf(matrix-624, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1124) | c_Orderings_Oord__class_Oless(_u1122, c_Groups_Oplus__class_Oplus(_u1122, _u1123, _u1125), c_Groups_Oplus__class_Oplus(_u1122, _u1124, _u1125)) )).
% 15.21/15.40 cnf(matrix-625, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1128), c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1129)) | c_Orderings_Oord__class_Oless(_u1126, _u1128, _u1129) )).
% 15.21/15.40 cnf(matrix-626, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, _u1128, _u1129) | c_Orderings_Oord__class_Oless(_u1126, c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1128), c_Groups_Oplus__class_Oplus(_u1126, _u1127, _u1129)) )).
% 15.21/15.40 cnf(matrix-627, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1130) | ~c_Orderings_Oord__class_Oless(_u1130, c_Groups_Oplus__class_Oplus(_u1130, _u1131, _u1132), c_Groups_Oplus__class_Oplus(_u1130, _u1133, _u1132)) | c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) )).
% 15.21/15.40 cnf(matrix-628, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1130) | ~c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) | c_Orderings_Oord__class_Oless(_u1130, c_Groups_Oplus__class_Oplus(_u1130, _u1131, _u1132), c_Groups_Oplus__class_Oplus(_u1130, _u1133, _u1132)) )).
% 15.21/15.40 cnf(matrix-629, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1134) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1135), c_Groups_Oone__class_Oone(_u1134)) = _u1135) )).
% 15.21/15.40 cnf(matrix-630, plain, ( ~class_Groups_Omonoid__mult(_u1136) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1136), _u1137), c_Groups_Oone__class_Oone(_u1136)) = _u1137) )).
% 15.21/15.40 cnf(matrix-631, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1138) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1138), c_Groups_Oone__class_Oone(_u1138)), _u1139) = _u1139) )).
% 15.21/15.40 cnf(matrix-632, plain, ( ~class_Groups_Omonoid__mult(_u1140) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1140), c_Groups_Oone__class_Oone(_u1140)), _u1141) = _u1141) )).
% 15.21/15.40 cnf(matrix-633, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1145), _u1147) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1145), _u1149)) | ( _u1145 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1147 = _u1149) )).
% 15.21/15.40 cnf(matrix-634, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1148) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1150)) | ( _u1146 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-635, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1148) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1146), _u1150)) | ( _u1148 != _u1150) )).
% 15.21/15.40 cnf(matrix-636, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1151), _u1152), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1153), _u1152), _u1154)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1151, _u1153)), _u1152), _u1154)) )).
% 15.21/15.40 cnf(matrix-637, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1155) | ~c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1156)) | c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), _u1156) )).
% 15.21/15.40 cnf(matrix-638, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1155) | ~c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), _u1156) | c_Orderings_Oord__class_Oless__eq(_u1155, c_Groups_Ozero__class_Ozero(_u1155), c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1156)) )).
% 15.21/15.40 cnf(matrix-639, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1157) | ~c_Orderings_Oord__class_Oless__eq(_u1157, c_Groups_Oplus__class_Oplus(_u1157, _u1158, _u1158), c_Groups_Ozero__class_Ozero(_u1157)) | c_Orderings_Oord__class_Oless__eq(_u1157, _u1158, c_Groups_Ozero__class_Ozero(_u1157)) )).
% 15.21/15.40 cnf(matrix-640, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1157) | ~c_Orderings_Oord__class_Oless__eq(_u1157, _u1158, c_Groups_Ozero__class_Ozero(_u1157)) | c_Orderings_Oord__class_Oless__eq(_u1157, c_Groups_Oplus__class_Oplus(_u1157, _u1158, _u1158), c_Groups_Ozero__class_Ozero(_u1157)) )).
% 15.21/15.40 cnf(matrix-641, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1159) | ~c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), _u1160) | ~c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), _u1161) | c_Orderings_Oord__class_Oless__eq(_u1159, c_Groups_Ozero__class_Ozero(_u1159), c_Groups_Oplus__class_Oplus(_u1159, _u1160, _u1161)) )).
% 15.21/15.40 cnf(matrix-642, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1163 = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.40 cnf(matrix-643, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1164 = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.40 cnf(matrix-644, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1164) | ( _u1163 != c_Groups_Ozero__class_Ozero(_u1162)) | ( _u1164 != c_Groups_Ozero__class_Ozero(_u1162)) | ( c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1164) = c_Groups_Ozero__class_Ozero(_u1162)) )).
% 15.21/15.40 cnf(matrix-645, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Ozero__class_Ozero(_u1165), _u1166) | ~c_Orderings_Oord__class_Oless__eq(_u1165, _u1167, _u1168) | c_Orderings_Oord__class_Oless__eq(_u1165, _u1167, c_Groups_Oplus__class_Oplus(_u1165, _u1166, _u1168)) )).
% 15.21/15.40 cnf(matrix-646, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1169) | ~c_Orderings_Oord__class_Oless__eq(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1170) | ~c_Orderings_Oord__class_Oless__eq(_u1169, _u1171, _u1172) | c_Orderings_Oord__class_Oless__eq(_u1169, _u1171, c_Groups_Oplus__class_Oplus(_u1169, _u1172, _u1170)) )).
% 15.21/15.40 cnf(matrix-647, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1173) | ~c_Orderings_Oord__class_Oless__eq(_u1173, _u1174, c_Groups_Ozero__class_Ozero(_u1173)) | ~c_Orderings_Oord__class_Oless__eq(_u1173, _u1175, c_Groups_Ozero__class_Ozero(_u1173)) | c_Orderings_Oord__class_Oless__eq(_u1173, c_Groups_Oplus__class_Oplus(_u1173, _u1174, _u1175), c_Groups_Ozero__class_Ozero(_u1173)) )).
% 15.21/15.40 cnf(matrix-648, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1176) | ~c_Orderings_Oord__class_Oless(_u1176, _u1177, c_Groups_Ozero__class_Ozero(_u1176)) | ~c_Orderings_Oord__class_Oless(_u1176, _u1178, c_Groups_Ozero__class_Ozero(_u1176)) | c_Orderings_Oord__class_Oless(_u1176, c_Groups_Oplus__class_Oplus(_u1176, _u1177, _u1178), c_Groups_Ozero__class_Ozero(_u1176)) )).
% 15.21/15.40 cnf(matrix-649, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1179) | ~c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), _u1180) | ~c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), _u1181) | c_Orderings_Oord__class_Oless(_u1179, c_Groups_Ozero__class_Ozero(_u1179), c_Groups_Oplus__class_Oplus(_u1179, _u1180, _u1181)) )).
% 15.21/15.40 cnf(matrix-650, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1182) | ~c_Orderings_Oord__class_Oless(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1183, _u1183), c_Groups_Ozero__class_Ozero(_u1182)) | c_Orderings_Oord__class_Oless(_u1182, _u1183, c_Groups_Ozero__class_Ozero(_u1182)) )).
% 15.21/15.40 cnf(matrix-651, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1182) | ~c_Orderings_Oord__class_Oless(_u1182, _u1183, c_Groups_Ozero__class_Ozero(_u1182)) | c_Orderings_Oord__class_Oless(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1183, _u1183), c_Groups_Ozero__class_Ozero(_u1182)) )).
% 15.21/15.40 cnf(matrix-652, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1184) | ~c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1185)) | c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), _u1185) )).
% 15.21/15.40 cnf(matrix-653, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1184) | ~c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), _u1185) | c_Orderings_Oord__class_Oless(_u1184, c_Groups_Ozero__class_Ozero(_u1184), c_Groups_Oplus__class_Oplus(_u1184, _u1185, _u1185)) )).
% 15.21/15.40 cnf(matrix-654, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1186) | ~c_Orderings_Oord__class_Oless__eq(_u1186, _u1187, _u1188) | ~c_Orderings_Oord__class_Oless(_u1186, _u1189, _u1190) | c_Orderings_Oord__class_Oless(_u1186, c_Groups_Oplus__class_Oplus(_u1186, _u1187, _u1189), c_Groups_Oplus__class_Oplus(_u1186, _u1188, _u1190)) )).
% 15.21/15.40 cnf(matrix-655, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1191) | ~c_Orderings_Oord__class_Oless(_u1191, _u1192, _u1193) | ~c_Orderings_Oord__class_Oless__eq(_u1191, _u1194, _u1195) | c_Orderings_Oord__class_Oless(_u1191, c_Groups_Oplus__class_Oplus(_u1191, _u1192, _u1194), c_Groups_Oplus__class_Oplus(_u1191, _u1193, _u1195)) )).
% 15.21/15.40 cnf(matrix-656, plain, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1197 = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.40 cnf(matrix-657, plain, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1198 = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.40 cnf(matrix-658, plain, ( ~class_Rings_Olinordered__ring__strict(_u1196) | ( _u1197 != c_Groups_Ozero__class_Ozero(_u1196)) | ( _u1198 != c_Groups_Ozero__class_Ozero(_u1196)) | ( c_Groups_Oplus__class_Oplus(_u1196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1197), _u1197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1196), _u1198), _u1198)) = c_Groups_Ozero__class_Ozero(_u1196)) )).
% 15.21/15.40 cnf(matrix-659, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1199) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1200) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1201)) | ( _u1200 = _u1201) )).
% 15.21/15.40 cnf(matrix-660, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1199) | ( _u1200 != _u1201) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1200) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1199), _u1201)) )).
% 15.21/15.40 cnf(matrix-661, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1202) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1204)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1203, _u1204) )).
% 15.21/15.40 cnf(matrix-662, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1202) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1203, _u1204) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1202), _u1204)) )).
% 15.21/15.40 cnf(matrix-663, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1205) | ~c_Orderings_Oord__class_Oless__eq(_u1205, _u1206, c_Groups_Ozero__class_Ozero(_u1205)) | ~c_Orderings_Oord__class_Oless(_u1205, _u1207, c_Groups_Ozero__class_Ozero(_u1205)) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Oplus__class_Oplus(_u1205, _u1206, _u1207), c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.21/15.40 cnf(matrix-664, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1208) | ~c_Orderings_Oord__class_Oless(_u1208, _u1209, c_Groups_Ozero__class_Ozero(_u1208)) | ~c_Orderings_Oord__class_Oless__eq(_u1208, _u1210, c_Groups_Ozero__class_Ozero(_u1208)) | c_Orderings_Oord__class_Oless(_u1208, c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210), c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.21/15.40 cnf(matrix-665, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1211) | ~c_Orderings_Oord__class_Oless__eq(_u1211, c_Groups_Ozero__class_Ozero(_u1211), _u1212) | ~c_Orderings_Oord__class_Oless(_u1211, _u1213, _u1214) | c_Orderings_Oord__class_Oless(_u1211, _u1213, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1214)) )).
% 15.21/15.40 cnf(matrix-666, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1215) | ~c_Orderings_Oord__class_Oless(_u1215, c_Groups_Ozero__class_Ozero(_u1215), _u1216) | ~c_Orderings_Oord__class_Oless__eq(_u1215, _u1217, _u1218) | c_Orderings_Oord__class_Oless(_u1215, _u1217, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1218)) )).
% 15.21/15.40 cnf(matrix-667, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem6), v_k____)), v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-668, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____)), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex), c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.40 cnf(matrix-669, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.40 cnf(matrix-670, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) )).
% 15.21/15.40 cnf(matrix-671, plain, ( ( _u1221 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u1222 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), _u1221), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem7(_u1222, _u1221)), _u1222)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-672, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1225), _u1227)) | ( _u1227 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1225) )).
% 15.21/15.40 cnf(matrix-673, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1226), _u1228)) | ( _u1228 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-674, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1226), _u1228)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1226) )).
% 15.21/15.40 cnf(matrix-675, plain, ( ~class_Groups_Ogroup__add(_u1229) | ( c_Groups_Ominus__class_Ominus(_u1229, c_Groups_Ozero__class_Ozero(_u1229), _u1230) = c_Groups_Ouminus__class_Ouminus(_u1229, _u1230)) )).
% 15.21/15.40 cnf(matrix-676, plain, ( ~class_Groups_Ogroup__add(_u1231) | ( c_Groups_Ominus__class_Ominus(_u1231, _u1232, _u1233) = c_Groups_Oplus__class_Oplus(_u1231, _u1232, c_Groups_Ouminus__class_Ouminus(_u1231, _u1233))) )).
% 15.21/15.40 cnf(matrix-677, plain, ( ~class_Groups_Oab__group__add(_u1234) | ( c_Groups_Ominus__class_Ominus(_u1234, _u1235, _u1236) = c_Groups_Oplus__class_Oplus(_u1234, _u1235, c_Groups_Ouminus__class_Ouminus(_u1234, _u1236))) )).
% 15.21/15.40 cnf(matrix-678, plain, ( ~class_Groups_Ogroup__add(_u1237) | ( c_Groups_Ominus__class_Ominus(_u1237, _u1238, c_Groups_Ouminus__class_Ouminus(_u1237, _u1239)) = c_Groups_Oplus__class_Oplus(_u1237, _u1238, _u1239)) )).
% 15.21/15.40 cnf(matrix-679, plain, ( ~class_Groups_Ogroup__add(_u1240) | ( c_Groups_Ouminus__class_Ouminus(_u1240, c_Groups_Ouminus__class_Ouminus(_u1240, _u1241)) = _u1241) )).
% 15.21/15.40 cnf(matrix-680, plain, ( ~class_Groups_Oab__group__add(_u1242) | ( c_Groups_Ouminus__class_Ouminus(_u1242, c_Groups_Ominus__class_Ominus(_u1242, _u1243, _u1244)) = c_Groups_Ominus__class_Ominus(_u1242, _u1244, _u1243)) )).
% 15.21/15.40 cnf(matrix-681, plain, ( ~class_Groups_Ogroup__add(_u1245) | ( _u1246 != c_Groups_Ouminus__class_Ouminus(_u1245, _u1247)) | ( _u1247 = c_Groups_Ouminus__class_Ouminus(_u1245, _u1246)) )).
% 15.21/15.40 cnf(matrix-682, plain, ( ~class_Groups_Ogroup__add(_u1245) | ( _u1247 != c_Groups_Ouminus__class_Ouminus(_u1245, _u1246)) | ( _u1246 = c_Groups_Ouminus__class_Ouminus(_u1245, _u1247)) )).
% 15.21/15.40 cnf(matrix-683, plain, ( ~class_Groups_Ogroup__add(_u1248) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1249) != _u1250) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1250) = _u1249) )).
% 15.21/15.40 cnf(matrix-684, plain, ( ~class_Groups_Ogroup__add(_u1248) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1250) != _u1249) | ( c_Groups_Ouminus__class_Ouminus(_u1248, _u1249) = _u1250) )).
% 15.21/15.40 cnf(matrix-685, plain, ( ~class_Groups_Ogroup__add(_u1251) | ( c_Groups_Ouminus__class_Ouminus(_u1251, _u1252) != c_Groups_Ouminus__class_Ouminus(_u1251, _u1253)) | ( _u1252 = _u1253) )).
% 15.21/15.40 cnf(matrix-686, plain, ( ~class_Groups_Ogroup__add(_u1251) | ( _u1252 != _u1253) | ( c_Groups_Ouminus__class_Ouminus(_u1251, _u1252) = c_Groups_Ouminus__class_Ouminus(_u1251, _u1253)) )).
% 15.21/15.40 cnf(matrix-687, plain, ( ~class_Groups_Oab__group__add(_u1254) | ( c_Groups_Ominus__class_Ominus(_u1254, _u1255, _u1256) != c_Groups_Ominus__class_Ominus(_u1254, _u1257, _u1258)) | ( _u1255 != _u1256) | ( _u1257 = _u1258) )).
% 15.21/15.40 cnf(matrix-688, plain, ( ~class_Groups_Oab__group__add(_u1254) | ( c_Groups_Ominus__class_Ominus(_u1254, _u1255, _u1256) != c_Groups_Ominus__class_Ominus(_u1254, _u1257, _u1258)) | ( _u1257 != _u1258) | ( _u1255 = _u1256) )).
% 15.21/15.40 cnf(matrix-689, plain, ( ~class_RealVector_Oreal__normed__vector(_u1259) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1259, _u1260), c_RealVector_Onorm__class_Onorm(_u1259, _u1261)), c_RealVector_Onorm__class_Onorm(_u1259, c_Groups_Ominus__class_Ominus(_u1259, _u1260, _u1261))) )).
% 15.21/15.40 cnf(matrix-690, plain, ( ~class_RealVector_Oreal__algebra__1(_u1262) | ( c_RealVector_Oof__real(_u1262, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1263)) = c_Groups_Ouminus__class_Ouminus(_u1262, c_RealVector_Oof__real(_u1262, _u1263))) )).
% 15.21/15.40 cnf(matrix-691, plain, ( ~class_RealVector_Oreal__algebra__1(_u1264) | ~class_RealVector_Oreal__normed__vector(_u1264) | ( c_RealVector_Oof__real(_u1264, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1265)) = c_Groups_Ouminus__class_Ouminus(_u1264, c_RealVector_Oof__real(_u1264, _u1265))) )).
% 15.21/15.40 cnf(matrix-692, plain, ( ~class_RealVector_Oreal__algebra__1(_u1266) | ( c_RealVector_Oof__real(_u1266, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1267, _u1268)) = c_Groups_Ominus__class_Ominus(_u1266, c_RealVector_Oof__real(_u1266, _u1267), c_RealVector_Oof__real(_u1266, _u1268))) )).
% 15.21/15.40 cnf(matrix-693, plain, ( ~class_RealVector_Oreal__algebra__1(_u1269) | ~class_RealVector_Oreal__normed__vector(_u1269) | ( c_RealVector_Oof__real(_u1269, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1270, _u1271)) = c_Groups_Ominus__class_Ominus(_u1269, c_RealVector_Oof__real(_u1269, _u1270), c_RealVector_Oof__real(_u1269, _u1271))) )).
% 15.21/15.40 cnf(matrix-694, plain, ( ~class_RealVector_Oreal__algebra__1(_u1272) | ( c_RealVector_Oof__real(_u1272, _u1273) != c_RealVector_Oof__real(_u1272, _u1274)) | ( _u1273 = _u1274) )).
% 15.21/15.40 cnf(matrix-695, plain, ( ~class_RealVector_Oreal__algebra__1(_u1272) | ( _u1273 != _u1274) | ( c_RealVector_Oof__real(_u1272, _u1273) = c_RealVector_Oof__real(_u1272, _u1274)) )).
% 15.21/15.40 cnf(matrix-696, plain, ( ~class_Rings_Ocomm__ring__1(_u1275) | ( c_Groups_Ominus__class_Ominus(_u1275, _u1276, _u1277) = c_Groups_Oplus__class_Oplus(_u1275, _u1276, c_Groups_Ouminus__class_Ouminus(_u1275, _u1277))) )).
% 15.21/15.40 cnf(matrix-697, plain, ( ~class_Groups_Ogroup__add(_u1278) | ( c_Groups_Ominus__class_Ominus(_u1278, _u1279, c_Groups_Ozero__class_Ozero(_u1278)) = _u1279) )).
% 15.21/15.40 cnf(matrix-698, plain, ( ~class_Groups_Ogroup__add(_u1280) | ( c_Groups_Ominus__class_Ominus(_u1280, _u1281, _u1281) = c_Groups_Ozero__class_Ozero(_u1280)) )).
% 15.21/15.40 cnf(matrix-699, plain, ( ~class_Groups_Oab__group__add(_u1282) | ( _u1283 != _u1284) | ( c_Groups_Ominus__class_Ominus(_u1282, _u1283, _u1284) = c_Groups_Ozero__class_Ozero(_u1282)) )).
% 15.21/15.40 cnf(matrix-700, plain, ( ~class_Groups_Oab__group__add(_u1282) | ( c_Groups_Ominus__class_Ominus(_u1282, _u1283, _u1284) != c_Groups_Ozero__class_Ozero(_u1282)) | ( _u1283 = _u1284) )).
% 15.21/15.40 cnf(matrix-701, plain, ( ~class_Groups_Ogroup__add(_u1285) | ( c_Groups_Ominus__class_Ominus(_u1285, _u1286, _u1287) != c_Groups_Ozero__class_Ozero(_u1285)) | ( _u1286 = _u1287) )).
% 15.21/15.40 cnf(matrix-702, plain, ( ~class_Groups_Ogroup__add(_u1285) | ( _u1286 != _u1287) | ( c_Groups_Ominus__class_Ominus(_u1285, _u1286, _u1287) = c_Groups_Ozero__class_Ozero(_u1285)) )).
% 15.21/15.40 cnf(matrix-703, plain, ( ~class_Groups_Oordered__ab__group__add(_u1288) | ( c_Groups_Ominus__class_Ominus(_u1288, _u1289, _u1290) != c_Groups_Ominus__class_Ominus(_u1288, _u1291, _u1292)) | ~c_Orderings_Oord__class_Oless__eq(_u1288, _u1289, _u1290) | c_Orderings_Oord__class_Oless__eq(_u1288, _u1291, _u1292) )).
% 15.21/15.40 cnf(matrix-704, plain, ( ~class_Groups_Oordered__ab__group__add(_u1288) | ( c_Groups_Ominus__class_Ominus(_u1288, _u1289, _u1290) != c_Groups_Ominus__class_Ominus(_u1288, _u1291, _u1292)) | ~c_Orderings_Oord__class_Oless__eq(_u1288, _u1291, _u1292) | c_Orderings_Oord__class_Oless__eq(_u1288, _u1289, _u1290) )).
% 15.21/15.40 cnf(matrix-705, plain, ( ~class_Groups_Ogroup__add(_u1293) | ( c_Groups_Ouminus__class_Ouminus(_u1293, c_Groups_Ozero__class_Ozero(_u1293)) = c_Groups_Ozero__class_Ozero(_u1293)) )).
% 15.21/15.40 cnf(matrix-706, plain, ( ~class_Groups_Ogroup__add(_u1294) | ( c_Groups_Ozero__class_Ozero(_u1294) != c_Groups_Ouminus__class_Ouminus(_u1294, _u1295)) | ( c_Groups_Ozero__class_Ozero(_u1294) = _u1295) )).
% 15.21/15.40 cnf(matrix-707, plain, ( ~class_Groups_Ogroup__add(_u1294) | ( c_Groups_Ozero__class_Ozero(_u1294) != _u1295) | ( c_Groups_Ozero__class_Ozero(_u1294) = c_Groups_Ouminus__class_Ouminus(_u1294, _u1295)) )).
% 15.21/15.40 cnf(matrix-708, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1296) | ( _u1297 != c_Groups_Ouminus__class_Ouminus(_u1296, _u1297)) | ( _u1297 = c_Groups_Ozero__class_Ozero(_u1296)) )).
% 15.21/15.40 cnf(matrix-709, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1296) | ( _u1297 != c_Groups_Ozero__class_Ozero(_u1296)) | ( _u1297 = c_Groups_Ouminus__class_Ouminus(_u1296, _u1297)) )).
% 15.21/15.40 cnf(matrix-710, plain, ( ~class_Groups_Ogroup__add(_u1298) | ( c_Groups_Ouminus__class_Ouminus(_u1298, _u1299) != c_Groups_Ozero__class_Ozero(_u1298)) | ( _u1299 = c_Groups_Ozero__class_Ozero(_u1298)) )).
% 15.21/15.40 cnf(matrix-711, plain, ( ~class_Groups_Ogroup__add(_u1298) | ( _u1299 != c_Groups_Ozero__class_Ozero(_u1298)) | ( c_Groups_Ouminus__class_Ouminus(_u1298, _u1299) = c_Groups_Ozero__class_Ozero(_u1298)) )).
% 15.21/15.40 cnf(matrix-712, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1300) | ( c_Groups_Ouminus__class_Ouminus(_u1300, _u1301) != _u1301) | ( _u1301 = c_Groups_Ozero__class_Ozero(_u1300)) )).
% 15.21/15.40 cnf(matrix-713, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1300) | ( _u1301 != c_Groups_Ozero__class_Ozero(_u1300)) | ( c_Groups_Ouminus__class_Ouminus(_u1300, _u1301) = _u1301) )).
% 15.21/15.40 cnf(matrix-714, plain, ( ~class_Groups_Oordered__ab__group__add(_u1302) | ( c_Groups_Ominus__class_Ominus(_u1302, _u1303, _u1304) != c_Groups_Ominus__class_Ominus(_u1302, _u1305, _u1306)) | ~c_Orderings_Oord__class_Oless(_u1302, _u1303, _u1304) | c_Orderings_Oord__class_Oless(_u1302, _u1305, _u1306) )).
% 15.21/15.40 cnf(matrix-715, plain, ( ~class_Groups_Oordered__ab__group__add(_u1302) | ( c_Groups_Ominus__class_Ominus(_u1302, _u1303, _u1304) != c_Groups_Ominus__class_Ominus(_u1302, _u1305, _u1306)) | ~c_Orderings_Oord__class_Oless(_u1302, _u1305, _u1306) | c_Orderings_Oord__class_Oless(_u1302, _u1303, _u1304) )).
% 15.21/15.40 cnf(matrix-716, plain, ( ~class_Groups_Oordered__ab__group__add(_u1307) | ~c_Orderings_Oord__class_Oless__eq(_u1307, _u1308, c_Groups_Ouminus__class_Ouminus(_u1307, _u1309)) | c_Orderings_Oord__class_Oless__eq(_u1307, _u1309, c_Groups_Ouminus__class_Ouminus(_u1307, _u1308)) )).
% 15.21/15.40 cnf(matrix-717, plain, ( ~class_Groups_Oordered__ab__group__add(_u1307) | ~c_Orderings_Oord__class_Oless__eq(_u1307, _u1309, c_Groups_Ouminus__class_Ouminus(_u1307, _u1308)) | c_Orderings_Oord__class_Oless__eq(_u1307, _u1308, c_Groups_Ouminus__class_Ouminus(_u1307, _u1309)) )).
% 15.21/15.40 cnf(matrix-718, plain, ( ~class_Groups_Oordered__ab__group__add(_u1310) | ~c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1311), _u1312) | c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1312), _u1311) )).
% 15.21/15.40 cnf(matrix-719, plain, ( ~class_Groups_Oordered__ab__group__add(_u1310) | ~c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1312), _u1311) | c_Orderings_Oord__class_Oless__eq(_u1310, c_Groups_Ouminus__class_Ouminus(_u1310, _u1311), _u1312) )).
% 15.21/15.40 cnf(matrix-720, plain, ( ~class_Groups_Oordered__ab__group__add(_u1313) | ~c_Orderings_Oord__class_Oless__eq(_u1313, c_Groups_Ouminus__class_Ouminus(_u1313, _u1314), c_Groups_Ouminus__class_Ouminus(_u1313, _u1315)) | c_Orderings_Oord__class_Oless__eq(_u1313, _u1315, _u1314) )).
% 15.21/15.40 cnf(matrix-721, plain, ( ~class_Groups_Oordered__ab__group__add(_u1313) | ~c_Orderings_Oord__class_Oless__eq(_u1313, _u1315, _u1314) | c_Orderings_Oord__class_Oless__eq(_u1313, c_Groups_Ouminus__class_Ouminus(_u1313, _u1314), c_Groups_Ouminus__class_Ouminus(_u1313, _u1315)) )).
% 15.21/15.40 cnf(matrix-722, plain, ( ~class_Groups_Oordered__ab__group__add(_u1316) | ~c_Orderings_Oord__class_Oless__eq(_u1316, _u1317, _u1318) | c_Orderings_Oord__class_Oless__eq(_u1316, c_Groups_Ouminus__class_Ouminus(_u1316, _u1318), c_Groups_Ouminus__class_Ouminus(_u1316, _u1317)) )).
% 15.21/15.40 cnf(matrix-723, plain, ( ~class_Groups_Oordered__ab__group__add(_u1319) | ~c_Orderings_Oord__class_Oless(_u1319, c_Groups_Ouminus__class_Ouminus(_u1319, _u1320), c_Groups_Ouminus__class_Ouminus(_u1319, _u1321)) | c_Orderings_Oord__class_Oless(_u1319, _u1321, _u1320) )).
% 15.21/15.40 cnf(matrix-724, plain, ( ~class_Groups_Oordered__ab__group__add(_u1319) | ~c_Orderings_Oord__class_Oless(_u1319, _u1321, _u1320) | c_Orderings_Oord__class_Oless(_u1319, c_Groups_Ouminus__class_Ouminus(_u1319, _u1320), c_Groups_Ouminus__class_Ouminus(_u1319, _u1321)) )).
% 15.21/15.40 cnf(matrix-725, plain, ( ~class_Groups_Oordered__ab__group__add(_u1322) | ~c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1323), _u1324) | c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1324), _u1323) )).
% 15.21/15.40 cnf(matrix-726, plain, ( ~class_Groups_Oordered__ab__group__add(_u1322) | ~c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1324), _u1323) | c_Orderings_Oord__class_Oless(_u1322, c_Groups_Ouminus__class_Ouminus(_u1322, _u1323), _u1324) )).
% 15.21/15.40 cnf(matrix-727, plain, ( ~class_Groups_Oordered__ab__group__add(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, _u1326, c_Groups_Ouminus__class_Ouminus(_u1325, _u1327)) | c_Orderings_Oord__class_Oless(_u1325, _u1327, c_Groups_Ouminus__class_Ouminus(_u1325, _u1326)) )).
% 15.21/15.40 cnf(matrix-728, plain, ( ~class_Groups_Oordered__ab__group__add(_u1325) | ~c_Orderings_Oord__class_Oless(_u1325, _u1327, c_Groups_Ouminus__class_Ouminus(_u1325, _u1326)) | c_Orderings_Oord__class_Oless(_u1325, _u1326, c_Groups_Ouminus__class_Ouminus(_u1325, _u1327)) )).
% 15.21/15.40 cnf(matrix-729, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1328) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), c_Groups_Ominus__class_Ominus(_u1328, _u1330, _u1331)) = c_Groups_Ominus__class_Ominus(_u1328, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), _u1330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1328), _u1329), _u1331))) )).
% 15.21/15.40 cnf(matrix-730, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1332) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), c_Groups_Ominus__class_Ominus(_u1332, _u1334, _u1335)) = c_Groups_Ominus__class_Ominus(_u1332, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), _u1334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1332), _u1333), _u1335))) )).
% 15.21/15.40 cnf(matrix-731, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1336) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), c_Groups_Ominus__class_Ominus(_u1336, _u1337, _u1338)), _u1339) = c_Groups_Ominus__class_Ominus(_u1336, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), _u1337), _u1339), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1336), _u1338), _u1339))) )).
% 15.21/15.40 cnf(matrix-732, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1340) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), c_Groups_Ominus__class_Ominus(_u1340, _u1341, _u1342)), _u1343) = c_Groups_Ominus__class_Ominus(_u1340, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), _u1341), _u1343), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1340), _u1342), _u1343))) )).
% 15.21/15.40 cnf(matrix-733, plain, ( ~class_Rings_Oring(_u1344) | ( c_Groups_Ouminus__class_Ouminus(_u1344, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1344), _u1345), _u1346)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1344), _u1345), c_Groups_Ouminus__class_Ouminus(_u1344, _u1346))) )).
% 15.21/15.40 cnf(matrix-734, plain, ( ~class_Rings_Oring(_u1347) | ( c_Groups_Ouminus__class_Ouminus(_u1347, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1347), _u1348), _u1349)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1347), c_Groups_Ouminus__class_Ouminus(_u1347, _u1348)), _u1349)) )).
% 15.21/15.40 cnf(matrix-735, plain, ( ~class_Rings_Oring(_u1350) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1350), c_Groups_Ouminus__class_Ouminus(_u1350, _u1351)), _u1352) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1350), _u1351), c_Groups_Ouminus__class_Ouminus(_u1350, _u1352))) )).
% 15.21/15.40 cnf(matrix-736, plain, ( ~class_Rings_Oring(_u1353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1353), c_Groups_Ouminus__class_Ouminus(_u1353, _u1354)), c_Groups_Ouminus__class_Ouminus(_u1353, _u1355)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1353), _u1354), _u1355)) )).
% 15.21/15.40 cnf(matrix-737, plain, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 = _u1358) | ( _u1357 = c_Groups_Ouminus__class_Ouminus(_u1356, _u1358)) )).
% 15.21/15.40 cnf(matrix-738, plain, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 != _u1358) )).
% 15.21/15.40 cnf(matrix-739, plain, ( ~class_Rings_Oidom(_u1356) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1357), _u1357) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1356), _u1358), _u1358)) | ( _u1357 != c_Groups_Ouminus__class_Ouminus(_u1356, _u1358)) )).
% 15.21/15.40 cnf(matrix-740, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1359) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1359), _u1360), c_Groups_Ouminus__class_Ouminus(_u1359, _u1361)) = c_Groups_Ouminus__class_Ouminus(_u1359, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1359), _u1360), _u1361))) )).
% 15.21/15.40 cnf(matrix-741, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1362) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1362), _u1363), c_Groups_Ouminus__class_Ouminus(_u1362, _u1364)) = c_Groups_Ouminus__class_Ouminus(_u1362, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1362), _u1363), _u1364))) )).
% 15.21/15.40 cnf(matrix-742, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1365) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1365), c_Groups_Ouminus__class_Ouminus(_u1365, _u1366)), _u1367) = c_Groups_Ouminus__class_Ouminus(_u1365, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1365), _u1366), _u1367))) )).
% 15.21/15.40 cnf(matrix-743, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1368) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1368), c_Groups_Ouminus__class_Ouminus(_u1368, _u1369)), _u1370) = c_Groups_Ouminus__class_Ouminus(_u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1368), _u1369), _u1370))) )).
% 15.21/15.40 cnf(matrix-744, plain, ( ~class_Groups_Ogroup__add(_u1371) | ( c_Groups_Ominus__class_Ominus(_u1371, c_Groups_Oplus__class_Oplus(_u1371, _u1372, _u1373), _u1373) = _u1372) )).
% 15.21/15.40 cnf(matrix-745, plain, ( ~class_Groups_Ogroup__add(_u1374) | ( c_Groups_Oplus__class_Oplus(_u1374, c_Groups_Ominus__class_Ominus(_u1374, _u1375, _u1376), _u1376) = _u1375) )).
% 15.21/15.40 cnf(matrix-746, plain, ( ~class_Groups_Ogroup__add(_u1377) | ( c_Groups_Oplus__class_Oplus(_u1377, c_Groups_Ouminus__class_Ouminus(_u1377, _u1378), c_Groups_Oplus__class_Oplus(_u1377, _u1378, _u1379)) = _u1379) )).
% 15.21/15.40 cnf(matrix-747, plain, ( ~class_Groups_Ogroup__add(_u1380) | ( c_Groups_Oplus__class_Oplus(_u1380, _u1381, c_Groups_Oplus__class_Oplus(_u1380, c_Groups_Ouminus__class_Ouminus(_u1380, _u1381), _u1382)) = _u1382) )).
% 15.21/15.40 cnf(matrix-748, plain, ( ~class_Groups_Ogroup__add(_u1383) | ( c_Groups_Ouminus__class_Ouminus(_u1383, c_Groups_Oplus__class_Oplus(_u1383, _u1384, _u1385)) = c_Groups_Oplus__class_Oplus(_u1383, c_Groups_Ouminus__class_Ouminus(_u1383, _u1385), c_Groups_Ouminus__class_Ouminus(_u1383, _u1384))) )).
% 15.21/15.40 cnf(matrix-749, plain, ( ~class_Groups_Oab__group__add(_u1386) | ( c_Groups_Ouminus__class_Ouminus(_u1386, c_Groups_Oplus__class_Oplus(_u1386, _u1387, _u1388)) = c_Groups_Oplus__class_Oplus(_u1386, c_Groups_Ouminus__class_Ouminus(_u1386, _u1387), c_Groups_Ouminus__class_Ouminus(_u1386, _u1388))) )).
% 15.21/15.40 cnf(matrix-750, plain, ( ~class_RealVector_Oreal__normed__vector(_u1389) | ( c_RealVector_Onorm__class_Onorm(_u1389, c_Groups_Ominus__class_Ominus(_u1389, _u1390, _u1391)) = c_RealVector_Onorm__class_Onorm(_u1389, c_Groups_Ominus__class_Ominus(_u1389, _u1391, _u1390))) )).
% 15.21/15.40 cnf(matrix-751, plain, ( ~class_RealVector_Oreal__normed__vector(_u1392) | ( c_RealVector_Onorm__class_Onorm(_u1392, c_Groups_Ouminus__class_Ouminus(_u1392, _u1393)) = c_RealVector_Onorm__class_Onorm(_u1392, _u1393)) )).
% 15.21/15.40 cnf(matrix-752, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u1394) | ( c_Rings_Oinverse__class_Oinverse(_u1394, c_Groups_Ouminus__class_Ouminus(_u1394, _u1395)) = c_Groups_Ouminus__class_Ouminus(_u1394, c_Rings_Oinverse__class_Oinverse(_u1394, _u1395))) )).
% 15.21/15.40 cnf(matrix-753, plain, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ~c_Orderings_Oord__class_Oless__eq(_u1396, _u1397, _u1398) | c_Orderings_Oord__class_Oless__eq(_u1396, c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398), c_Groups_Ozero__class_Ozero(_u1396)) )).
% 15.21/15.40 cnf(matrix-754, plain, ( ~class_Groups_Oordered__ab__group__add(_u1396) | ~c_Orderings_Oord__class_Oless__eq(_u1396, c_Groups_Ominus__class_Ominus(_u1396, _u1397, _u1398), c_Groups_Ozero__class_Ozero(_u1396)) | c_Orderings_Oord__class_Oless__eq(_u1396, _u1397, _u1398) )).
% 15.21/15.40 cnf(matrix-755, plain, ( ~class_Groups_Oordered__ab__group__add(_u1399) | ~c_Orderings_Oord__class_Oless(_u1399, _u1400, _u1401) | c_Orderings_Oord__class_Oless(_u1399, c_Groups_Ominus__class_Ominus(_u1399, _u1400, _u1401), c_Groups_Ozero__class_Ozero(_u1399)) )).
% 15.21/15.40 cnf(matrix-756, plain, ( ~class_Groups_Oordered__ab__group__add(_u1399) | ~c_Orderings_Oord__class_Oless(_u1399, c_Groups_Ominus__class_Ominus(_u1399, _u1400, _u1401), c_Groups_Ozero__class_Ozero(_u1399)) | c_Orderings_Oord__class_Oless(_u1399, _u1400, _u1401) )).
% 15.21/15.40 cnf(matrix-757, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1402) | ~c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ouminus__class_Ouminus(_u1402, _u1403), _u1403) | c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ozero__class_Ozero(_u1402), _u1403) )).
% 15.21/15.40 cnf(matrix-758, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1402) | ~c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ozero__class_Ozero(_u1402), _u1403) | c_Orderings_Oord__class_Oless__eq(_u1402, c_Groups_Ouminus__class_Ouminus(_u1402, _u1403), _u1403) )).
% 15.21/15.40 cnf(matrix-759, plain, ( ~class_Groups_Oordered__ab__group__add(_u1404) | ~c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ouminus__class_Ouminus(_u1404, _u1405), c_Groups_Ozero__class_Ozero(_u1404)) | c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ozero__class_Ozero(_u1404), _u1405) )).
% 15.21/15.40 cnf(matrix-760, plain, ( ~class_Groups_Oordered__ab__group__add(_u1404) | ~c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ozero__class_Ozero(_u1404), _u1405) | c_Orderings_Oord__class_Oless__eq(_u1404, c_Groups_Ouminus__class_Ouminus(_u1404, _u1405), c_Groups_Ozero__class_Ozero(_u1404)) )).
% 15.21/15.40 cnf(matrix-761, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1406) | ~c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ouminus__class_Ouminus(_u1406, _u1407)) | c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ozero__class_Ozero(_u1406)) )).
% 15.21/15.40 cnf(matrix-762, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1406) | ~c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ozero__class_Ozero(_u1406)) | c_Orderings_Oord__class_Oless__eq(_u1406, _u1407, c_Groups_Ouminus__class_Ouminus(_u1406, _u1407)) )).
% 15.21/15.40 cnf(matrix-763, plain, ( ~class_Groups_Oordered__ab__group__add(_u1408) | ~c_Orderings_Oord__class_Oless__eq(_u1408, c_Groups_Ozero__class_Ozero(_u1408), c_Groups_Ouminus__class_Ouminus(_u1408, _u1409)) | c_Orderings_Oord__class_Oless__eq(_u1408, _u1409, c_Groups_Ozero__class_Ozero(_u1408)) )).
% 15.21/15.40 cnf(matrix-764, plain, ( ~class_Groups_Oordered__ab__group__add(_u1408) | ~c_Orderings_Oord__class_Oless__eq(_u1408, _u1409, c_Groups_Ozero__class_Ozero(_u1408)) | c_Orderings_Oord__class_Oless__eq(_u1408, c_Groups_Ozero__class_Ozero(_u1408), c_Groups_Ouminus__class_Ouminus(_u1408, _u1409)) )).
% 15.21/15.40 cnf(matrix-765, plain, ( ~class_Rings_Olinordered__idom(_u1410) | ~c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ouminus__class_Ouminus(_u1410, _u1411)) | c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ozero__class_Ozero(_u1410)) )).
% 15.21/15.40 cnf(matrix-766, plain, ( ~class_Rings_Olinordered__idom(_u1410) | ~c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ozero__class_Ozero(_u1410)) | c_Orderings_Oord__class_Oless(_u1410, _u1411, c_Groups_Ouminus__class_Ouminus(_u1410, _u1411)) )).
% 15.21/15.40 cnf(matrix-767, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1413) | c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ozero__class_Ozero(_u1412), _u1413) )).
% 15.21/15.40 cnf(matrix-768, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ozero__class_Ozero(_u1412), _u1413) | c_Orderings_Oord__class_Oless(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1413) )).
% 15.21/15.40 cnf(matrix-769, plain, ( ~class_Groups_Oordered__ab__group__add(_u1414) | ~c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ouminus__class_Ouminus(_u1414, _u1415), c_Groups_Ozero__class_Ozero(_u1414)) | c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ozero__class_Ozero(_u1414), _u1415) )).
% 15.21/15.40 cnf(matrix-770, plain, ( ~class_Groups_Oordered__ab__group__add(_u1414) | ~c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ozero__class_Ozero(_u1414), _u1415) | c_Orderings_Oord__class_Oless(_u1414, c_Groups_Ouminus__class_Ouminus(_u1414, _u1415), c_Groups_Ozero__class_Ozero(_u1414)) )).
% 15.21/15.40 cnf(matrix-771, plain, ( ~class_Groups_Oordered__ab__group__add(_u1416) | ~c_Orderings_Oord__class_Oless(_u1416, c_Groups_Ozero__class_Ozero(_u1416), c_Groups_Ouminus__class_Ouminus(_u1416, _u1417)) | c_Orderings_Oord__class_Oless(_u1416, _u1417, c_Groups_Ozero__class_Ozero(_u1416)) )).
% 15.21/15.40 cnf(matrix-772, plain, ( ~class_Groups_Oordered__ab__group__add(_u1416) | ~c_Orderings_Oord__class_Oless(_u1416, _u1417, c_Groups_Ozero__class_Ozero(_u1416)) | c_Orderings_Oord__class_Oless(_u1416, c_Groups_Ozero__class_Ozero(_u1416), c_Groups_Ouminus__class_Ouminus(_u1416, _u1417)) )).
% 15.21/15.40 cnf(matrix-773, plain, ( ~class_RealVector_Oreal__algebra__1(_u1418) | ( c_RealVector_Oof__real(_u1418, _u1419) != c_Groups_Ozero__class_Ozero(_u1418)) | ( _u1419 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-774, plain, ( ~class_RealVector_Oreal__algebra__1(_u1418) | ( _u1419 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1418, _u1419) = c_Groups_Ozero__class_Ozero(_u1418)) )).
% 15.21/15.40 cnf(matrix-775, plain, ( ~class_RealVector_Oreal__algebra__1(_u1420) | ~class_RealVector_Oreal__normed__vector(_u1420) | ( c_RealVector_Oof__real(_u1420, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1420)) )).
% 15.21/15.40 cnf(matrix-776, plain, ( ~class_RealVector_Oreal__algebra__1(_u1421) | ( c_RealVector_Oof__real(_u1421, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1421)) )).
% 15.21/15.40 cnf(matrix-777, plain, ( ~class_Groups_Ogroup__add(_u1422) | ( c_Groups_Oplus__class_Oplus(_u1422, _u1423, _u1424) != c_Groups_Ozero__class_Ozero(_u1422)) | ( _u1424 = c_Groups_Ouminus__class_Ouminus(_u1422, _u1423)) )).
% 15.21/15.40 cnf(matrix-778, plain, ( ~class_Groups_Ogroup__add(_u1422) | ( _u1424 != c_Groups_Ouminus__class_Ouminus(_u1422, _u1423)) | ( c_Groups_Oplus__class_Oplus(_u1422, _u1423, _u1424) = c_Groups_Ozero__class_Ozero(_u1422)) )).
% 15.21/15.40 cnf(matrix-779, plain, ( ~class_Groups_Ogroup__add(_u1425) | ( c_Groups_Oplus__class_Oplus(_u1425, _u1426, _u1427) != c_Groups_Ozero__class_Ozero(_u1425)) | ( c_Groups_Ouminus__class_Ouminus(_u1425, _u1426) = _u1427) )).
% 15.21/15.40 cnf(matrix-780, plain, ( ~class_Groups_Oab__group__add(_u1428) | ( c_Groups_Oplus__class_Oplus(_u1428, c_Groups_Ouminus__class_Ouminus(_u1428, _u1429), _u1429) = c_Groups_Ozero__class_Ozero(_u1428)) )).
% 15.21/15.40 cnf(matrix-781, plain, ( ~class_Groups_Ogroup__add(_u1430) | ( c_Groups_Oplus__class_Oplus(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1431) = c_Groups_Ozero__class_Ozero(_u1430)) )).
% 15.21/15.40 cnf(matrix-782, plain, ( ~class_Groups_Ogroup__add(_u1432) | ( _u1433 != c_Groups_Ouminus__class_Ouminus(_u1432, _u1434)) | ( c_Groups_Oplus__class_Oplus(_u1432, _u1433, _u1434) = c_Groups_Ozero__class_Ozero(_u1432)) )).
% 15.21/15.40 cnf(matrix-783, plain, ( ~class_Groups_Ogroup__add(_u1432) | ( c_Groups_Oplus__class_Oplus(_u1432, _u1433, _u1434) != c_Groups_Ozero__class_Ozero(_u1432)) | ( _u1433 = c_Groups_Ouminus__class_Ouminus(_u1432, _u1434)) )).
% 15.21/15.40 cnf(matrix-784, plain, ( ~class_Groups_Ogroup__add(_u1435) | ( c_Groups_Oplus__class_Oplus(_u1435, _u1436, c_Groups_Ouminus__class_Ouminus(_u1435, _u1436)) = c_Groups_Ozero__class_Ozero(_u1435)) )).
% 15.21/15.40 cnf(matrix-785, plain, ( ~class_Rings_Oring(_u1437) | ( c_Groups_Ominus__class_Ominus(_u1437, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), _u1439), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1440), _u1441)) = c_Groups_Oplus__class_Oplus(_u1437, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), c_Groups_Ominus__class_Ominus(_u1437, _u1439, _u1441)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), c_Groups_Ominus__class_Ominus(_u1437, _u1438, _u1440)), _u1441))) )).
% 15.21/15.40 cnf(matrix-786, plain, ( ~class_Rings_Oring(_u1442) | ( c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), _u1444), _u1445) != c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1446), _u1444), _u1447)) | ( _u1445 = c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), c_Groups_Ominus__class_Ominus(_u1442, _u1446, _u1443)), _u1444), _u1447)) )).
% 15.21/15.40 cnf(matrix-787, plain, ( ~class_Rings_Oring(_u1442) | ( _u1445 != c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), c_Groups_Ominus__class_Ominus(_u1442, _u1446, _u1443)), _u1444), _u1447)) | ( c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), _u1444), _u1445) = c_Groups_Oplus__class_Oplus(_u1442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1446), _u1444), _u1447)) )).
% 15.21/15.40 cnf(matrix-788, plain, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1450), _u1451) != c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1452), _u1450), _u1453)) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), c_Groups_Ominus__class_Ominus(_u1448, _u1449, _u1452)), _u1450), _u1451) = _u1453) )).
% 15.21/15.40 cnf(matrix-789, plain, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), c_Groups_Ominus__class_Ominus(_u1448, _u1449, _u1452)), _u1450), _u1451) != _u1453) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1450), _u1451) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1452), _u1450), _u1453)) )).
% 15.21/15.40 cnf(matrix-790, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1454) | ( c_Groups_Ominus__class_Ominus(_u1454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1455), _u1456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1457), _u1458)) = c_Groups_Oplus__class_Oplus(_u1454, c_Groups_Oplus__class_Oplus(_u1454, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), c_Groups_Ominus__class_Ominus(_u1454, _u1455, _u1457)), c_Groups_Ominus__class_Ominus(_u1454, _u1456, _u1458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), c_Groups_Ominus__class_Ominus(_u1454, _u1455, _u1457)), _u1458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1454), _u1457), c_Groups_Ominus__class_Ominus(_u1454, _u1456, _u1458)))) )).
% 15.21/15.40 cnf(matrix-791, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) != c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 = c_Groups_Ouminus__class_Ouminus(_u1459, c_Groups_Oone__class_Oone(_u1459))) )).
% 15.21/15.40 cnf(matrix-792, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 != c_Groups_Oone__class_Oone(_u1459)) )).
% 15.21/15.40 cnf(matrix-793, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1459) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1459), _u1460), _u1460) = c_Groups_Oone__class_Oone(_u1459)) | ( _u1460 != c_Groups_Ouminus__class_Ouminus(_u1459, c_Groups_Oone__class_Oone(_u1459))) )).
% 15.21/15.40 cnf(matrix-794, plain, ( ~class_Rings_Ocomm__ring__1(_u1461) | ( c_Groups_Ouminus__class_Ouminus(_u1461, _u1462) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), c_Groups_Ouminus__class_Ouminus(_u1461, c_Groups_Oone__class_Oone(_u1461))), _u1462)) )).
% 15.21/15.40 cnf(matrix-795, plain, ( ~class_RealVector_Oreal__algebra__1(_u1463) | ( c_RealVector_Oof__real(_u1463, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1464), _u1465)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1463), c_RealVector_Oof__real(_u1463, _u1464)), c_RealVector_Oof__real(_u1463, _u1465))) )).
% 15.21/15.40 cnf(matrix-796, plain, ( ~class_RealVector_Oreal__algebra__1(_u1466) | ( c_RealVector_Oof__real(_u1466, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1467, _u1468)) = c_Groups_Oplus__class_Oplus(_u1466, c_RealVector_Oof__real(_u1466, _u1467), c_RealVector_Oof__real(_u1466, _u1468))) )).
% 15.21/15.40 cnf(matrix-797, plain, ( ~class_RealVector_Oreal__algebra__1(_u1469) | ~class_RealVector_Oreal__normed__vector(_u1469) | ( c_RealVector_Oof__real(_u1469, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1470, _u1471)) = c_Groups_Oplus__class_Oplus(_u1469, c_RealVector_Oof__real(_u1469, _u1470), c_RealVector_Oof__real(_u1469, _u1471))) )).
% 15.21/15.40 cnf(matrix-798, plain, ( ~class_RealVector_Oreal__algebra__1(_u1472) | ( c_RealVector_Oof__real(_u1472, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(_u1472)) )).
% 15.21/15.40 cnf(matrix-799, plain, ( ~class_Rings_Odivision__ring(_u1473) | ( _u1474 = c_Groups_Ozero__class_Ozero(_u1473)) | ( c_Rings_Oinverse__class_Oinverse(_u1473, c_Groups_Ouminus__class_Ouminus(_u1473, _u1474)) = c_Groups_Ouminus__class_Ouminus(_u1473, c_Rings_Oinverse__class_Oinverse(_u1473, _u1474))) )).
% 15.21/15.40 cnf(matrix-800, plain, ( ~class_RealVector_Oreal__algebra__1(_u1475) | ( c_RealVector_Oof__real(_u1475, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1476), _u1477)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1475), c_RealVector_Oof__real(_u1475, _u1476)), _u1477)) )).
% 15.21/15.40 cnf(matrix-801, plain, ( ~class_RealVector_Oreal__div__algebra(_u1478) | ~class_Rings_Odivision__ring__inverse__zero(_u1478) | ( c_RealVector_Oof__real(_u1478, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1479)) = c_Rings_Oinverse__class_Oinverse(_u1478, c_RealVector_Oof__real(_u1478, _u1479))) )).
% 15.21/15.40 cnf(matrix-802, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, _u1480)), _u1481) = c_RealVector_Oof__real(tc_Complex_Ocomplex, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1480), _u1481))) )).
% 15.21/15.40 cnf(matrix-803, plain, ( ~class_Rings_Oordered__ring(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1484), _u1485), c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1486), _u1484), _u1487)) | c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), c_Groups_Ominus__class_Ominus(_u1482, _u1486, _u1483)), _u1484), _u1487)) )).
% 15.21/15.40 cnf(matrix-804, plain, ( ~class_Rings_Oordered__ring(_u1482) | ~c_Orderings_Oord__class_Oless__eq(_u1482, _u1485, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), c_Groups_Ominus__class_Ominus(_u1482, _u1486, _u1483)), _u1484), _u1487)) | c_Orderings_Oord__class_Oless__eq(_u1482, c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1484), _u1485), c_Groups_Oplus__class_Oplus(_u1482, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1486), _u1484), _u1487)) )).
% 15.21/15.40 cnf(matrix-805, plain, ( ~class_Rings_Oordered__ring(_u1488) | ~c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490), _u1491), c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1492), _u1490), _u1493)) | c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), c_Groups_Ominus__class_Ominus(_u1488, _u1489, _u1492)), _u1490), _u1491), _u1493) )).
% 15.21/15.40 cnf(matrix-806, plain, ( ~class_Rings_Oordered__ring(_u1488) | ~c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), c_Groups_Ominus__class_Ominus(_u1488, _u1489, _u1492)), _u1490), _u1491), _u1493) | c_Orderings_Oord__class_Oless__eq(_u1488, c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490), _u1491), c_Groups_Oplus__class_Oplus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1492), _u1490), _u1493)) )).
% 15.21/15.40 cnf(matrix-807, plain, ( ~class_Rings_Oordered__ring(_u1494) | ~c_Orderings_Oord__class_Oless(_u1494, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496), _u1497), c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1498), _u1496), _u1499)) | c_Orderings_Oord__class_Oless(_u1494, _u1497, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ominus__class_Ominus(_u1494, _u1498, _u1495)), _u1496), _u1499)) )).
% 15.21/15.40 cnf(matrix-808, plain, ( ~class_Rings_Oordered__ring(_u1494) | ~c_Orderings_Oord__class_Oless(_u1494, _u1497, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ominus__class_Ominus(_u1494, _u1498, _u1495)), _u1496), _u1499)) | c_Orderings_Oord__class_Oless(_u1494, c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496), _u1497), c_Groups_Oplus__class_Oplus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1498), _u1496), _u1499)) )).
% 15.21/15.40 cnf(matrix-809, plain, ( ~class_Rings_Oordered__ring(_u1500) | ~c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1501), _u1502), _u1503), c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1504), _u1502), _u1505)) | c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), c_Groups_Ominus__class_Ominus(_u1500, _u1501, _u1504)), _u1502), _u1503), _u1505) )).
% 15.21/15.40 cnf(matrix-810, plain, ( ~class_Rings_Oordered__ring(_u1500) | ~c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), c_Groups_Ominus__class_Ominus(_u1500, _u1501, _u1504)), _u1502), _u1503), _u1505) | c_Orderings_Oord__class_Oless(_u1500, c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1501), _u1502), _u1503), c_Groups_Oplus__class_Oplus(_u1500, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1500), _u1504), _u1502), _u1505)) )).
% 15.21/15.40 cnf(matrix-811, plain, ( ~class_Rings_Oring__1(_u1506) | ( c_Groups_Ominus__class_Ominus(_u1506, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1506), _u1507), _u1507), c_Groups_Oone__class_Oone(_u1506)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1506), c_Groups_Oplus__class_Oplus(_u1506, _u1507, c_Groups_Oone__class_Oone(_u1506))), c_Groups_Ominus__class_Ominus(_u1506, _u1507, c_Groups_Oone__class_Oone(_u1506)))) )).
% 15.21/15.40 cnf(matrix-812, plain, ( ~class_Rings_Odivision__ring(_u1508) | ( _u1509 = c_Groups_Ozero__class_Ozero(_u1508)) | ( _u1510 = c_Groups_Ozero__class_Ozero(_u1508)) | ( c_Groups_Ominus__class_Ominus(_u1508, c_Rings_Oinverse__class_Oinverse(_u1508, _u1509), c_Rings_Oinverse__class_Oinverse(_u1508, _u1510)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1508), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1508), c_Rings_Oinverse__class_Oinverse(_u1508, _u1509)), c_Groups_Ominus__class_Ominus(_u1508, _u1510, _u1509))), c_Rings_Oinverse__class_Oinverse(_u1508, _u1510))) )).
% 15.21/15.40 cnf(matrix-813, plain, ( ~class_Rings_Oring__1(_u1511) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), c_Groups_Ouminus__class_Ouminus(_u1511, _u1512)), _u1513) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1511), hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), c_Groups_Ouminus__class_Ouminus(_u1511, c_Groups_Oone__class_Oone(_u1511))), _u1513)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1511), _u1512), _u1513))) )).
% 15.21/15.40 cnf(matrix-814, plain, ( ~class_RealVector_Oreal__normed__vector(_u1514) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1514, c_Groups_Ominus__class_Ominus(_u1514, _u1515, _u1516)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1514, _u1515), c_RealVector_Onorm__class_Onorm(_u1514, _u1516))) )).
% 15.21/15.40 cnf(matrix-815, plain, ( ~class_RealVector_Oreal__div__algebra(_u1517) | ( _u1518 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1517, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1518)) = c_Rings_Oinverse__class_Oinverse(_u1517, c_RealVector_Oof__real(_u1517, _u1518))) )).
% 15.21/15.40 cnf(matrix-816, plain, ( ~class_RealVector_Oreal__normed__vector(_u1519) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, c_Groups_Oplus__class_Oplus(_u1519, _u1520, _u1521), c_Groups_Oplus__class_Oplus(_u1519, _u1522, _u1523))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, _u1520, _u1522)), c_RealVector_Onorm__class_Onorm(_u1519, c_Groups_Ominus__class_Ominus(_u1519, _u1521, _u1523)))) )).
% 15.21/15.40 cnf(matrix-817, plain, ( ~class_Rings_Odivision__ring(_u1524) | ( _u1525 = c_Groups_Ozero__class_Ozero(_u1524)) | ( _u1526 = c_Groups_Ozero__class_Ozero(_u1524)) | ( c_Groups_Ominus__class_Ominus(_u1524, c_Rings_Oinverse__class_Oinverse(_u1524, _u1525), c_Rings_Oinverse__class_Oinverse(_u1524, _u1526)) = c_Groups_Ouminus__class_Ouminus(_u1524, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1524), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1524), c_Rings_Oinverse__class_Oinverse(_u1524, _u1525)), c_Groups_Ominus__class_Ominus(_u1524, _u1525, _u1526))), c_Rings_Oinverse__class_Oinverse(_u1524, _u1526)))) )).
% 15.21/15.40 cnf(matrix-818, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u1527, _u1528) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u1527, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1528))) )).
% 15.21/15.40 cnf(matrix-819, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1530), _u1530)) | ( _u1530 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-820, plain, ( ( _u1531 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1531), _u1531)) )).
% 15.21/15.40 cnf(matrix-821, plain, ( ~class_Rings_Olinordered__idom(_u1532) | ~c_Orderings_Oord__class_Oless(_u1532, c_Groups_Oplus__class_Oplus(_u1532, _u1533, _u1533), c_Groups_Ozero__class_Ozero(_u1532)) | c_Orderings_Oord__class_Oless(_u1532, _u1533, c_Groups_Ozero__class_Ozero(_u1532)) )).
% 15.21/15.40 cnf(matrix-822, plain, ( ~class_Rings_Olinordered__idom(_u1532) | ~c_Orderings_Oord__class_Oless(_u1532, _u1533, c_Groups_Ozero__class_Ozero(_u1532)) | c_Orderings_Oord__class_Oless(_u1532, c_Groups_Oplus__class_Oplus(_u1532, _u1533, _u1533), c_Groups_Ozero__class_Ozero(_u1532)) )).
% 15.21/15.40 cnf(matrix-823, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1534) != 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, _u1534, 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, _u1534, 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, _u1534, 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, _u1534, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-824, plain, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1535, _u1536) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1535, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1536))) )).
% 15.21/15.40 cnf(matrix-825, plain, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1537, _u1538) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1537, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1538))) )).
% 15.21/15.40 cnf(matrix-826, plain, ( ( c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii)) )).
% 15.21/15.40 cnf(matrix-827, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1539, _u1540) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1540, _u1539) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1539 = _u1540) )).
% 15.21/15.40 cnf(matrix-828, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1541) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-829, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1542, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1542) )).
% 15.21/15.40 cnf(matrix-830, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1543) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-831, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1544, _u1545) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1544, _u1546) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1546, _u1545), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1546, _u1544)) )).
% 15.21/15.40 cnf(matrix-832, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1547, _u1548) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1549), _u1548) )).
% 15.21/15.40 cnf(matrix-833, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1550, _u1551), _u1551) = _u1550) )).
% 15.21/15.40 cnf(matrix-834, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1552, _u1553), _u1552) = _u1553) )).
% 15.21/15.40 cnf(matrix-835, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1554, _u1555), _u1556) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1554, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1555, _u1556))) )).
% 15.21/15.40 cnf(matrix-836, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1557, _u1558), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1557, _u1559)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1558, _u1559)) )).
% 15.21/15.40 cnf(matrix-837, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1560, _u1561), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1562, _u1561)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1560, _u1562)) )).
% 15.21/15.40 cnf(matrix-838, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1563, _u1564), _u1563) )).
% 15.21/15.40 cnf(matrix-839, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1565, _u1566) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1567, _u1566), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1567, _u1565)) )).
% 15.21/15.40 cnf(matrix-840, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1568, _u1569) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1568, _u1570), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1569, _u1570)) )).
% 15.21/15.40 cnf(matrix-841, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1571, _u1572) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1572, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1572, _u1571)) = _u1571) )).
% 15.21/15.40 cnf(matrix-842, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1574) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1575) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1574, _u1573) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1573)) | ( _u1574 = _u1575) )).
% 15.21/15.40 cnf(matrix-843, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1574) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1573, _u1575) | ( _u1574 != _u1575) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1574, _u1573) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1573)) )).
% 15.21/15.40 cnf(matrix-844, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1576, _u1577) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1576, _u1578) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1577, _u1576), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1578, _u1576)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1577, _u1578)) )).
% 15.21/15.40 cnf(matrix-845, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1580) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1581) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1580, _u1579), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1581, _u1579)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1580, _u1581) )).
% 15.21/15.40 cnf(matrix-846, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1580) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1579, _u1581) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1580, _u1581) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1580, _u1579), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1581, _u1579)) )).
% 15.21/15.40 cnf(matrix-847, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1583, _u1584)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), _u1583), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1582), _u1584))) )).
% 15.21/15.40 cnf(matrix-848, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1585, _u1586)), _u1587) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1585), _u1587), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1586), _u1587))) )).
% 15.21/15.40 cnf(matrix-849, plain, ( ( c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-850, plain, ( ( c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.40 cnf(matrix-851, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1588)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1588)) )).
% 15.21/15.40 cnf(matrix-852, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), _u1589)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1589)) )).
% 15.21/15.40 cnf(matrix-853, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1592, _u1594) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1592, _u1594), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-854, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1593, _u1595), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1593, _u1595) )).
% 15.21/15.40 cnf(matrix-855, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1598, _u1600)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1600, _u1598) )).
% 15.21/15.40 cnf(matrix-856, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1601, _u1599) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1599, _u1601)) )).
% 15.21/15.40 cnf(matrix-857, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1602) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1603) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1603, _u1602), _u1603) )).
% 15.21/15.40 cnf(matrix-858, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1604), _u1604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1605), _u1605)) )).
% 15.21/15.40 cnf(matrix-859, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1606, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1606, _u1607)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-860, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1608, _u1609) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1608, _u1609) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-861, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1612, _u1614) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1612, _u1614) )).
% 15.21/15.40 cnf(matrix-862, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1615) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1613, _u1615) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.40 cnf(matrix-863, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1619, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1621, _u1623)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1619, _u1623), _u1621) )).
% 15.21/15.40 cnf(matrix-864, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1620, _u1624), _u1622) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1620, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1622, _u1624)) )).
% 15.21/15.40 cnf(matrix-865, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1625, _u1626) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1626, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1625, _u1626)) = _u1625) )).
% 15.21/15.40 cnf(matrix-866, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1628) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1629) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1628, _u1627), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1629, _u1627)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1628, _u1629) )).
% 15.21/15.40 cnf(matrix-867, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1628) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, _u1629) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1628, _u1629) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1628, _u1627), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1629, _u1627)) )).
% 15.21/15.40 cnf(matrix-868, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1630, _u1631) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1632, _u1630) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1630, _u1632), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1631, _u1632)) )).
% 15.21/15.40 cnf(matrix-869, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1635, _u1637) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1637 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1635)) )).
% 15.21/15.40 cnf(matrix-870, plain, ( ( _u1638 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1636)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1636, _u1638) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-871, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1641, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1643)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1641 = _u1643) )).
% 15.21/15.40 cnf(matrix-872, plain, ( ( _u1642 != _u1644) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1642, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1644)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.40 cnf(matrix-873, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1645, _u1646) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1646, _u1647), _u1645) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1646, _u1645), _u1647)) )).
% 15.21/15.40 cnf(matrix-874, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1648, _u1649) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1649, _u1648), _u1650) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1649, _u1650), _u1648)) )).
% 15.21/15.41 cnf(matrix-875, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1651, _u1652) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1653, _u1652), _u1651) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1653, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1652, _u1651))) )).
% 15.21/15.41 cnf(matrix-876, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1654, _u1655) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1655, _u1654) != _u1656) | ( _u1655 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1656, _u1654)) )).
% 15.21/15.41 cnf(matrix-877, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1654, _u1655) | ( _u1655 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1656, _u1654)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1655, _u1654) = _u1656) )).
% 15.21/15.41 cnf(matrix-878, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1657, _u1658) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1658, _u1657), _u1657) = _u1658) )).
% 15.21/15.41 cnf(matrix-879, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1659, _u1660) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1661, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1660, _u1659)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1661, _u1659), _u1660) )).
% 15.21/15.41 cnf(matrix-880, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1659, _u1660) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1661, _u1659), _u1660) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1661, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1660, _u1659)) )).
% 15.21/15.41 cnf(matrix-881, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1662, _u1663) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1664, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1663, _u1662)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1664, _u1663), _u1662)) )).
% 15.21/15.41 cnf(matrix-882, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1665, _u1666) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1665, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1666, _u1665)) = _u1666) )).
% 15.21/15.41 cnf(matrix-883, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1667, _u1668) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1669, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1668, _u1669), _u1667)) )).
% 15.21/15.41 cnf(matrix-884, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1673, _u1675), _u1677) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1673, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1677, _u1675)) )).
% 15.21/15.41 cnf(matrix-885, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1674, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1678, _u1676)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1674, _u1676), _u1678) )).
% 15.21/15.41 cnf(matrix-886, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1679, _u1680) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1681, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1680, _u1679)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1681, _u1679), _u1680)) )).
% 15.21/15.41 cnf(matrix-887, plain, ( 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, _u1682, _u1683)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1682)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1683)) )).
% 15.21/15.41 cnf(matrix-888, plain, ( ~class_RealVector_Oreal__normed__vector(_u1684) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1684, _u1685), c_RealVector_Onorm__class_Onorm(_u1684, _u1686)), c_RealVector_Onorm__class_Onorm(_u1684, c_Groups_Oplus__class_Oplus(_u1684, _u1685, _u1686))) )).
% 15.21/15.41 cnf(matrix-889, plain, ( ~hBOOL(hAPP(_u1692, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1694, _u1696))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1694, _u1696) | hBOOL(hAPP(_u1692, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.21/15.41 cnf(matrix-890, plain, ( ~hBOOL(hAPP(_u1692, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1694, _u1696))) | ( _u1694 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1696, _u1687)) | hBOOL(hAPP(_u1692, _u1687)) )).
% 15.21/15.41 cnf(matrix-891, plain, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1695, _u1697) | ( _u1695 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1697, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.41 cnf(matrix-892, plain, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1695, _u1697) | ~hBOOL(hAPP(_u1693, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.41 cnf(matrix-893, plain, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | ~hBOOL(hAPP(_u1693, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1695 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1697, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.41 cnf(matrix-894, plain, ( hBOOL(hAPP(_u1693, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1695, _u1697))) | ~hBOOL(hAPP(_u1693, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1693, skolem8(_u1697, _u1695, _u1693))) )).
% 15.21/15.41 cnf(matrix-895, plain, ( ~hBOOL(hAPP(_u1703, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1707))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1705, _u1707) | hBOOL(hAPP(_u1703, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.21/15.41 cnf(matrix-896, plain, ( ~hBOOL(hAPP(_u1703, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1705, _u1707))) | ( _u1705 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1707, _u1698)) | hBOOL(hAPP(_u1703, _u1698)) )).
% 15.21/15.41 cnf(matrix-897, plain, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1706, _u1708) | ( _u1706 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1708, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.41 cnf(matrix-898, plain, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1706, _u1708) | ~hBOOL(hAPP(_u1704, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.41 cnf(matrix-899, plain, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | ~hBOOL(hAPP(_u1704, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1706 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1708, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.41 cnf(matrix-900, plain, ( hBOOL(hAPP(_u1704, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1706, _u1708))) | ~hBOOL(hAPP(_u1704, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1704, skolem9(_u1708, _u1706, _u1704))) )).
% 15.21/15.41 cnf(matrix-901, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1711, _u1713)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1711), _u1713) )).
% 15.21/15.41 cnf(matrix-902, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1712), _u1714) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1712, _u1714)) )).
% 15.21/15.41 cnf(matrix-903, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1717, _u1719), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1719, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1717)) )).
% 15.21/15.41 cnf(matrix-904, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1720, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1718)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1718, _u1720), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-905, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1723, _u1725)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1723), _u1725) )).
% 15.21/15.41 cnf(matrix-906, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1724), _u1726) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1724, _u1726)) )).
% 15.21/15.41 cnf(matrix-907, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1729, _u1731), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1731, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1729)) )).
% 15.21/15.41 cnf(matrix-908, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1732, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1730)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1730, _u1732), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-909, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1733, _u1734) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1734), _u1735), _u1736), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1733), _u1735), _u1737)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1734, _u1733)), _u1735), _u1736), _u1737) )).
% 15.21/15.41 cnf(matrix-910, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1733, _u1734) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1734, _u1733)), _u1735), _u1736), _u1737) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1734), _u1735), _u1736), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1733), _u1735), _u1737)) )).
% 15.21/15.41 cnf(matrix-911, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1738, _u1739) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1739), _u1740), _u1741), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1738), _u1740), _u1742)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1739, _u1738)), _u1740), _u1741), _u1742)) )).
% 15.21/15.41 cnf(matrix-912, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1743, _u1744) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1744), _u1745), _u1746) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1743), _u1745), _u1747)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1744, _u1743)), _u1745), _u1746) = _u1747) )).
% 15.21/15.41 cnf(matrix-913, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1743, _u1744) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1744, _u1743)), _u1745), _u1746) != _u1747) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1744), _u1745), _u1746) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1743), _u1745), _u1747)) )).
% 15.21/15.41 cnf(matrix-914, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1748, _u1749) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1748), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1749), _u1750), _u1752)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1751, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1749, _u1748)), _u1750), _u1752)) )).
% 15.21/15.41 cnf(matrix-915, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1748, _u1749) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1751, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1749, _u1748)), _u1750), _u1752)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1748), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1749), _u1750), _u1752)) )).
% 15.21/15.41 cnf(matrix-916, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1753, _u1754) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1753), _u1755), _u1756), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1754), _u1755), _u1757)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1756, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1754, _u1753)), _u1755), _u1757))) )).
% 15.21/15.41 cnf(matrix-917, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1758, _u1759) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1758), _u1760), _u1761) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1759), _u1760), _u1762)) | ( _u1761 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1759, _u1758)), _u1760), _u1762)) )).
% 15.21/15.41 cnf(matrix-918, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1758, _u1759) | ( _u1761 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1759, _u1758)), _u1760), _u1762)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1758), _u1760), _u1761) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1759), _u1760), _u1762)) )).
% 15.21/15.41 cnf(matrix-919, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Oii), c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.41 cnf(matrix-920, plain, ( ( c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))) )).
% 15.21/15.41 cnf(matrix-921, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1764, _u1765)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), _u1764)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1763), _u1765))) )).
% 15.21/15.41 cnf(matrix-922, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1766), _u1767)), _u1768) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1767), _u1768))) )).
% 15.21/15.41 cnf(matrix-923, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1769, _u1770) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1769), _u1771), _u1772), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1770), _u1771), _u1773)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1770, _u1769)), _u1771), _u1773)) )).
% 15.21/15.41 cnf(matrix-924, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1769, _u1770) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1770, _u1769)), _u1771), _u1773)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1769), _u1771), _u1772), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1770), _u1771), _u1773)) )).
% 15.21/15.41 cnf(matrix-925, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1775) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1775), _u1776), _u1777), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1774), _u1776), _u1778)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1775, _u1774)), _u1776), _u1777), _u1778) )).
% 15.21/15.41 cnf(matrix-926, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1774, _u1775) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1775, _u1774)), _u1776), _u1777), _u1778) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1775), _u1776), _u1777), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1774), _u1776), _u1778)) )).
% 15.21/15.41 cnf(matrix-927, plain, ( ( _u1781 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1781), _u1783) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-928, plain, ( ( _u1782 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1782), _u1784) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1784, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1782, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1784))) )).
% 15.21/15.41 cnf(matrix-929, plain, ( ( _u1787 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1789), _u1787) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-930, plain, ( ( _u1788 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1790), _u1788) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1790), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1790), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1788, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.21/15.41 cnf(matrix-931, plain, ( ~class_Power_Opower(_u1791) | ( _u1792 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), _u1792) = c_Groups_Oone__class_Oone(_u1791)) )).
% 15.21/15.41 cnf(matrix-932, plain, ( ~class_Power_Opower(_u1791) | ( _u1792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), _u1792) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1791), _u1793), hAPP(hAPP(c_Power_Opower__class_Opower(_u1791), _u1793), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1792, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.21/15.41 cnf(matrix-933, plain, ( ~class_Groups_Omonoid__mult(_u1794) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1795) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1794), hAPP(hAPP(c_Power_Opower__class_Opower(_u1794), _u1796), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u1796) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1794), _u1796), _u1795)) )).
% 15.21/15.41 cnf(matrix-934, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1797) | ( c_Groups_Oplus__class_Oplus(_u1797, _u1798, _u1798) != c_Groups_Ozero__class_Ozero(_u1797)) | ( _u1798 = c_Groups_Ozero__class_Ozero(_u1797)) )).
% 15.21/15.41 cnf(matrix-935, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1797) | ( _u1798 != c_Groups_Ozero__class_Ozero(_u1797)) | ( c_Groups_Oplus__class_Oplus(_u1797, _u1798, _u1798) = c_Groups_Ozero__class_Ozero(_u1797)) )).
% 15.21/15.41 cnf(matrix-936, plain, ( ~class_Groups_Oab__group__add(_u1799) | ( c_Groups_Ominus__class_Ominus(_u1799, c_Groups_Oplus__class_Oplus(_u1799, _u1800, _u1801), c_Groups_Oplus__class_Oplus(_u1799, _u1802, _u1803)) = c_Groups_Oplus__class_Oplus(_u1799, c_Groups_Ominus__class_Ominus(_u1799, _u1800, _u1802), c_Groups_Ominus__class_Ominus(_u1799, _u1801, _u1803))) )).
% 15.21/15.41 cnf(matrix-937, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, _u1805) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1805, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, 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_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1805)), _u1804), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-938, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.41 cnf(matrix-939, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.41 cnf(matrix-940, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.41 cnf(matrix-941, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p)) )).
% 15.21/15.41 cnf(matrix-942, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1806), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1806)), v_m____) )).
% 15.21/15.41 cnf(matrix-943, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), v_w____), v_k____)), v_a____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))) )).
% 15.21/15.41 cnf(matrix-944, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_RealVector_Oof__real(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.41 cnf(matrix-945, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))))))), 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_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____)), v_w____)))))) )).
% 15.21/15.41 cnf(matrix-946, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1808, _u1809)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), _u1808), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1807), _u1809))) )).
% 15.21/15.41 cnf(matrix-947, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1810)), _u1811) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1810), _u1811))) )).
% 15.21/15.41 cnf(matrix-948, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1812, _u1813)), _u1814) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1812), _u1814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1813), _u1814))) )).
% 15.21/15.41 cnf(matrix-949, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1815) | ( c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ouminus__class_Ouminus(_u1815, _u1816)) = c_Groups_Oabs__class_Oabs(_u1815, _u1816)) )).
% 15.21/15.41 cnf(matrix-950, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1817) | ( c_Groups_Oabs__class_Oabs(_u1817, c_Groups_Ominus__class_Ominus(_u1817, _u1818, _u1819)) = c_Groups_Oabs__class_Oabs(_u1817, c_Groups_Ominus__class_Ominus(_u1817, _u1819, _u1818))) )).
% 15.21/15.41 cnf(matrix-951, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1820, _u1821), _u1822) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1820, _u1822), _u1821)) )).
% 15.21/15.41 cnf(matrix-952, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1823, _u1824) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1825) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1825), _u1823), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1825), _u1824)) )).
% 15.21/15.41 cnf(matrix-953, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1826 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-954, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1827 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-955, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1826) | ( _u1826 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1827 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1826), _u1827) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-956, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1828, _u1829)), _u1830) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1828), _u1830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1829), _u1830))) )).
% 15.21/15.41 cnf(matrix-957, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1831), _u1832)), _u1833) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1831), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1832), _u1833))) )).
% 15.21/15.41 cnf(matrix-958, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1835, _u1836)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), _u1835), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1834), _u1836))) )).
% 15.21/15.41 cnf(matrix-959, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1837), _u1838) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1838), _u1837)) )).
% 15.21/15.41 cnf(matrix-960, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1839), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1839) )).
% 15.21/15.41 cnf(matrix-961, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1840) = _u1840) )).
% 15.21/15.41 cnf(matrix-962, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1841) | ( c_Groups_Oabs__class_Oabs(_u1841, _u1842) != c_Groups_Ozero__class_Ozero(_u1841)) | ( _u1842 = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.21/15.41 cnf(matrix-963, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1841) | ( _u1842 != c_Groups_Ozero__class_Ozero(_u1841)) | ( c_Groups_Oabs__class_Oabs(_u1841, _u1842) = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.21/15.41 cnf(matrix-964, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1843) | ( c_Groups_Oabs__class_Oabs(_u1843, c_Groups_Ozero__class_Ozero(_u1843)) = c_Groups_Ozero__class_Ozero(_u1843)) )).
% 15.21/15.41 cnf(matrix-965, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1844) | ~c_Orderings_Oord__class_Oless__eq(_u1844, c_Groups_Oabs__class_Oabs(_u1844, _u1845), _u1846) | c_Orderings_Oord__class_Oless__eq(_u1844, _u1845, _u1846) )).
% 15.21/15.41 cnf(matrix-966, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1847) | c_Orderings_Oord__class_Oless__eq(_u1847, _u1848, c_Groups_Oabs__class_Oabs(_u1847, _u1848)) )).
% 15.21/15.41 cnf(matrix-967, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1849) | ( c_Groups_Oabs__class_Oabs(_u1849, c_Groups_Oplus__class_Oplus(_u1849, c_Groups_Oabs__class_Oabs(_u1849, _u1850), c_Groups_Oabs__class_Oabs(_u1849, _u1851))) = c_Groups_Oplus__class_Oplus(_u1849, c_Groups_Oabs__class_Oabs(_u1849, _u1850), c_Groups_Oabs__class_Oabs(_u1849, _u1851))) )).
% 15.21/15.41 cnf(matrix-968, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1852) | ( c_Groups_Oabs__class_Oabs(_u1852, c_Groups_Oabs__class_Oabs(_u1852, _u1853)) = c_Groups_Oabs__class_Oabs(_u1852, _u1853)) )).
% 15.21/15.41 cnf(matrix-969, plain, ( ~class_Rings_Olinordered__idom(_u1854) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), c_Groups_Oabs__class_Oabs(_u1854, _u1855)), c_Groups_Oabs__class_Oabs(_u1854, _u1855)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1854), _u1855), _u1855)) )).
% 15.21/15.41 cnf(matrix-970, plain, ( ~class_Rings_Olinordered__idom(_u1856) | ( c_Groups_Oabs__class_Oabs(_u1856, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1856), _u1857), _u1858)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1856), c_Groups_Oabs__class_Oabs(_u1856, _u1857)), c_Groups_Oabs__class_Oabs(_u1856, _u1858))) )).
% 15.21/15.41 cnf(matrix-971, plain, ( ~class_Rings_Olinordered__idom(_u1859) | ( c_Groups_Oabs__class_Oabs(_u1859, c_Groups_Oone__class_Oone(_u1859)) = c_Groups_Oone__class_Oone(_u1859)) )).
% 15.21/15.41 cnf(matrix-972, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1860) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1860)) )).
% 15.21/15.41 cnf(matrix-973, plain, ( ~class_RealVector_Oreal__normed__vector(_u1861) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1861, _u1862)) = c_RealVector_Onorm__class_Onorm(_u1861, _u1862)) )).
% 15.21/15.41 cnf(matrix-974, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1863) | ( c_Groups_Oabs__class_Oabs(_u1863, c_Rings_Oinverse__class_Oinverse(_u1863, _u1864)) = c_Rings_Oinverse__class_Oinverse(_u1863, c_Groups_Oabs__class_Oabs(_u1863, _u1864))) )).
% 15.21/15.41 cnf(matrix-975, plain, ( ~class_Rings_Olinordered__idom(_u1865) | ( c_Groups_Oabs__class_Oabs(_u1865, hAPP(hAPP(c_Power_Opower__class_Opower(_u1865), _u1866), _u1867)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1865), c_Groups_Oabs__class_Oabs(_u1865, _u1866)), _u1867)) )).
% 15.21/15.41 cnf(matrix-976, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1868) | ~c_Orderings_Oord__class_Oless__eq(_u1868, c_Groups_Ozero__class_Ozero(_u1868), _u1869) | ( c_Groups_Oabs__class_Oabs(_u1868, _u1869) = _u1869) )).
% 15.21/15.41 cnf(matrix-977, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1870) | ~c_Orderings_Oord__class_Oless__eq(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), c_Groups_Ozero__class_Ozero(_u1870)) | ( _u1871 = c_Groups_Ozero__class_Ozero(_u1870)) )).
% 15.21/15.41 cnf(matrix-978, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1870) | ( _u1871 != c_Groups_Ozero__class_Ozero(_u1870)) | c_Orderings_Oord__class_Oless__eq(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), c_Groups_Ozero__class_Ozero(_u1870)) )).
% 15.21/15.41 cnf(matrix-979, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1872) | c_Orderings_Oord__class_Oless__eq(_u1872, c_Groups_Ozero__class_Ozero(_u1872), c_Groups_Oabs__class_Oabs(_u1872, _u1873)) )).
% 15.21/15.41 cnf(matrix-980, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1874) | ~c_Orderings_Oord__class_Oless(_u1874, c_Groups_Ozero__class_Ozero(_u1874), _u1875) | ( c_Groups_Oabs__class_Oabs(_u1874, _u1875) = _u1875) )).
% 15.21/15.41 cnf(matrix-981, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1876) | ~c_Orderings_Oord__class_Oless(_u1876, c_Groups_Ozero__class_Ozero(_u1876), c_Groups_Oabs__class_Oabs(_u1876, _u1877)) | ( _u1877 != c_Groups_Ozero__class_Ozero(_u1876)) )).
% 15.21/15.41 cnf(matrix-982, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1876) | ( _u1877 = c_Groups_Ozero__class_Ozero(_u1876)) | c_Orderings_Oord__class_Oless(_u1876, c_Groups_Ozero__class_Ozero(_u1876), c_Groups_Oabs__class_Oabs(_u1876, _u1877)) )).
% 15.21/15.41 cnf(matrix-983, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1878) | ~c_Orderings_Oord__class_Oless(_u1878, c_Groups_Oabs__class_Oabs(_u1878, _u1879), c_Groups_Ozero__class_Ozero(_u1878)) )).
% 15.21/15.41 cnf(matrix-984, plain, ( ~class_Rings_Olinordered__idom(_u1880) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Oabs__class_Oabs(_u1880, _u1881), _u1882) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Oabs__class_Oabs(_u1880, _u1883), _u1884) | c_Orderings_Oord__class_Oless(_u1880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), c_Groups_Oabs__class_Oabs(_u1880, _u1881)), c_Groups_Oabs__class_Oabs(_u1880, _u1883)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), _u1882), _u1884)) )).
% 15.21/15.41 cnf(matrix-985, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1885) | c_Orderings_Oord__class_Oless__eq(_u1885, c_Groups_Oabs__class_Oabs(_u1885, c_Groups_Oplus__class_Oplus(_u1885, _u1886, _u1887)), c_Groups_Oplus__class_Oplus(_u1885, c_Groups_Oabs__class_Oabs(_u1885, _u1886), c_Groups_Oabs__class_Oabs(_u1885, _u1887))) )).
% 15.21/15.41 cnf(matrix-986, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1888) | c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Oabs__class_Oabs(_u1888, c_Groups_Ominus__class_Ominus(_u1888, c_Groups_Oabs__class_Oabs(_u1888, _u1889), c_Groups_Oabs__class_Oabs(_u1888, _u1890))), c_Groups_Oabs__class_Oabs(_u1888, c_Groups_Ominus__class_Ominus(_u1888, _u1889, _u1890))) )).
% 15.21/15.41 cnf(matrix-987, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1891) | c_Orderings_Oord__class_Oless__eq(_u1891, c_Groups_Ominus__class_Ominus(_u1891, c_Groups_Oabs__class_Oabs(_u1891, _u1892), c_Groups_Oabs__class_Oabs(_u1891, _u1893)), c_Groups_Oabs__class_Oabs(_u1891, c_Groups_Ominus__class_Ominus(_u1891, _u1892, _u1893))) )).
% 15.21/15.41 cnf(matrix-988, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1894) | c_Orderings_Oord__class_Oless__eq(_u1894, c_Groups_Ominus__class_Ominus(_u1894, c_Groups_Oabs__class_Oabs(_u1894, _u1895), c_Groups_Oabs__class_Oabs(_u1894, _u1896)), c_Groups_Oabs__class_Oabs(_u1894, c_Groups_Ominus__class_Ominus(_u1894, _u1896, _u1895))) )).
% 15.21/15.41 cnf(matrix-989, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1897) | c_Orderings_Oord__class_Oless__eq(_u1897, c_Groups_Ouminus__class_Ouminus(_u1897, _u1898), c_Groups_Oabs__class_Oabs(_u1897, _u1898)) )).
% 15.21/15.41 cnf(matrix-990, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, _u1900, _u1901) )).
% 15.21/15.41 cnf(matrix-991, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Ouminus__class_Ouminus(_u1899, _u1900), _u1901) )).
% 15.21/15.41 cnf(matrix-992, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1899) | ~c_Orderings_Oord__class_Oless__eq(_u1899, _u1900, _u1901) | ~c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Ouminus__class_Ouminus(_u1899, _u1900), _u1901) | c_Orderings_Oord__class_Oless__eq(_u1899, c_Groups_Oabs__class_Oabs(_u1899, _u1900), _u1901) )).
% 15.21/15.41 cnf(matrix-993, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1902) | ~c_Orderings_Oord__class_Oless__eq(_u1902, _u1903, _u1904) | ~c_Orderings_Oord__class_Oless__eq(_u1902, c_Groups_Ouminus__class_Ouminus(_u1902, _u1903), _u1904) | c_Orderings_Oord__class_Oless__eq(_u1902, c_Groups_Oabs__class_Oabs(_u1902, _u1903), _u1904) )).
% 15.21/15.41 cnf(matrix-994, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1905) | ~c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Oabs__class_Oabs(_u1905, _u1906), _u1907) | c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Ouminus__class_Ouminus(_u1905, _u1906), _u1907) )).
% 15.21/15.41 cnf(matrix-995, plain, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, _u1909, _u1910) )).
% 15.21/15.41 cnf(matrix-996, plain, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, c_Groups_Ouminus__class_Ouminus(_u1908, _u1909), _u1910) )).
% 15.21/15.41 cnf(matrix-997, plain, ( ~class_Rings_Olinordered__idom(_u1908) | ~c_Orderings_Oord__class_Oless(_u1908, _u1909, _u1910) | ~c_Orderings_Oord__class_Oless(_u1908, c_Groups_Ouminus__class_Ouminus(_u1908, _u1909), _u1910) | c_Orderings_Oord__class_Oless(_u1908, c_Groups_Oabs__class_Oabs(_u1908, _u1909), _u1910) )).
% 15.21/15.41 cnf(matrix-998, plain, ( ~class_Fields_Olinordered__field(_u1911) | ( _u1912 = c_Groups_Ozero__class_Ozero(_u1911)) | ( c_Groups_Oabs__class_Oabs(_u1911, c_Rings_Oinverse__class_Oinverse(_u1911, _u1912)) = c_Rings_Oinverse__class_Oinverse(_u1911, c_Groups_Oabs__class_Oabs(_u1911, _u1912))) )).
% 15.21/15.41 cnf(matrix-999, plain, ( ~class_Rings_Olinordered__idom(_u1913) | ( c_Groups_Oabs__class_Oabs(_u1913, hAPP(hAPP(c_Power_Opower__class_Opower(_u1913), c_Groups_Ouminus__class_Ouminus(_u1913, _u1914)), _u1915)) = c_Groups_Oabs__class_Oabs(_u1913, hAPP(hAPP(c_Power_Opower__class_Opower(_u1913), _u1914), _u1915))) )).
% 15.21/15.41 cnf(matrix-1000, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918), _u1920) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1920), _u1918) )).
% 15.21/15.41 cnf(matrix-1001, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918), _u1920) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1918, _u1920) )).
% 15.21/15.41 cnf(matrix-1002, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1921), _u1919) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1919, _u1921) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1919), _u1921) )).
% 15.21/15.41 cnf(matrix-1003, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u1922) | ( c_RealVector_Onorm__class_Onorm(_u1922, c_RealVector_Oof__real(_u1922, _u1923)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1923)) )).
% 15.21/15.41 cnf(matrix-1004, plain, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1924, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1925))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1925, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1924)))) )).
% 15.21/15.41 cnf(matrix-1005, plain, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1928) )).
% 15.21/15.41 cnf(matrix-1006, plain, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1927) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1928, c_Groups_Ozero__class_Ozero(_u1926)) )).
% 15.21/15.41 cnf(matrix-1007, plain, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1927, c_Groups_Ozero__class_Ozero(_u1926)) | ~c_Orderings_Oord__class_Oless__eq(_u1926, c_Groups_Ozero__class_Ozero(_u1926), _u1928) )).
% 15.21/15.41 cnf(matrix-1008, plain, ( ~class_Rings_Oordered__ring__abs(_u1926) | ( c_Groups_Oabs__class_Oabs(_u1926, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), _u1927), _u1928)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1926), c_Groups_Oabs__class_Oabs(_u1926, _u1927)), c_Groups_Oabs__class_Oabs(_u1926, _u1928))) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1927, c_Groups_Ozero__class_Ozero(_u1926)) | ~c_Orderings_Oord__class_Oless__eq(_u1926, _u1928, c_Groups_Ozero__class_Ozero(_u1926)) )).
% 15.21/15.41 cnf(matrix-1009, plain, ( ~class_Rings_Olinordered__idom(_u1929) | ~c_Orderings_Oord__class_Oless__eq(_u1929, c_Groups_Ozero__class_Ozero(_u1929), _u1930) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1929), c_Groups_Oabs__class_Oabs(_u1929, _u1931)), _u1930) = c_Groups_Oabs__class_Oabs(_u1929, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1929), _u1931), _u1930))) )).
% 15.21/15.41 cnf(matrix-1010, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1932) | c_Orderings_Oord__class_Oless__eq(_u1932, c_Groups_Ouminus__class_Ouminus(_u1932, c_Groups_Oabs__class_Oabs(_u1932, _u1933)), c_Groups_Ozero__class_Ozero(_u1932)) )).
% 15.21/15.41 cnf(matrix-1011, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1934) | ~c_Orderings_Oord__class_Oless__eq(_u1934, _u1935, c_Groups_Ozero__class_Ozero(_u1934)) | ( c_Groups_Oabs__class_Oabs(_u1934, _u1935) = c_Groups_Ouminus__class_Ouminus(_u1934, _u1935)) )).
% 15.21/15.41 cnf(matrix-1012, plain, ( ~class_Rings_Olinordered__idom(_u1936) | c_Orderings_Oord__class_Oless__eq(_u1936, c_Groups_Ozero__class_Ozero(_u1936), hAPP(hAPP(c_Power_Opower__class_Opower(_u1936), c_Groups_Oabs__class_Oabs(_u1936, _u1937)), _u1938)) )).
% 15.21/15.41 cnf(matrix-1013, plain, ( ~class_Groups_Oabs__if(_u1939) | ~c_Orderings_Oord__class_Oless(_u1939, _u1940, c_Groups_Ozero__class_Ozero(_u1939)) | ( c_Groups_Oabs__class_Oabs(_u1939, _u1940) = c_Groups_Ouminus__class_Ouminus(_u1939, _u1940)) )).
% 15.21/15.41 cnf(matrix-1014, plain, ( ~class_Groups_Oabs__if(_u1939) | c_Orderings_Oord__class_Oless(_u1939, _u1940, c_Groups_Ozero__class_Ozero(_u1939)) | ( c_Groups_Oabs__class_Oabs(_u1939, _u1940) = _u1940) )).
% 15.21/15.41 cnf(matrix-1015, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1941) | ~c_Orderings_Oord__class_Oless(_u1941, _u1942, c_Groups_Ozero__class_Ozero(_u1941)) | ( c_Groups_Oabs__class_Oabs(_u1941, _u1942) = c_Groups_Ouminus__class_Ouminus(_u1941, _u1942)) )).
% 15.21/15.41 cnf(matrix-1016, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1943) | c_Orderings_Oord__class_Oless__eq(_u1943, c_Groups_Oabs__class_Oabs(_u1943, c_Groups_Ominus__class_Ominus(_u1943, _u1944, _u1945)), c_Groups_Oplus__class_Oplus(_u1943, c_Groups_Oabs__class_Oabs(_u1943, _u1944), c_Groups_Oabs__class_Oabs(_u1943, _u1945))) )).
% 15.21/15.41 cnf(matrix-1017, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1946) | c_Orderings_Oord__class_Oless__eq(_u1946, c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, c_Groups_Oplus__class_Oplus(_u1946, _u1947, _u1948), c_Groups_Oplus__class_Oplus(_u1946, _u1949, _u1950))), c_Groups_Oplus__class_Oplus(_u1946, c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, _u1947, _u1949)), c_Groups_Oabs__class_Oabs(_u1946, c_Groups_Ominus__class_Ominus(_u1946, _u1948, _u1950)))) )).
% 15.21/15.41 cnf(matrix-1018, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1951, 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, _u1952), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1951), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1953))) | ( _u1952 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-1019, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1955, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1955) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1955)) )).
% 15.21/15.41 cnf(matrix-1020, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1956, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1956) = _u1956) )).
% 15.21/15.41 cnf(matrix-1021, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1958, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1958) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1958)) )).
% 15.21/15.41 cnf(matrix-1022, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1959, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1959) = _u1959) )).
% 15.21/15.41 cnf(matrix-1023, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1960), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u1960) )).
% 15.21/15.41 cnf(matrix-1024, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1961, _u1962), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1963), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1964)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1961, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1963))), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1962, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1964))))) )).
% 15.21/15.41 cnf(matrix-1025, plain, ( ~class_RealVector_Oreal__normed__vector(_u1965) | 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(_u1965, _u1966), c_RealVector_Onorm__class_Onorm(_u1965, _u1967))), c_RealVector_Onorm__class_Onorm(_u1965, c_Groups_Ominus__class_Ominus(_u1965, _u1966, _u1967))) )).
% 15.21/15.41 cnf(matrix-1026, plain, ( 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, _u1968))) )).
% 15.21/15.41 cnf(matrix-1027, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem10) )).
% 15.21/15.41 cnf(matrix-1028, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1969), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1969)), skolem10) )).
% 15.21/15.41 cnf(matrix-1029, plain, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) | c_Orderings_Oord__class_Oless(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1973, _u1974), _u1972) )).
% 15.21/15.41 cnf(matrix-1030, plain, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) | c_Orderings_Oord__class_Oless(_u1971, _u1972, c_Groups_Oplus__class_Oplus(_u1971, _u1973, _u1974)) )).
% 15.21/15.41 cnf(matrix-1031, plain, ( ~class_Rings_Olinordered__idom(_u1971) | ~c_Orderings_Oord__class_Oless(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1973, _u1974), _u1972) | ~c_Orderings_Oord__class_Oless(_u1971, _u1972, c_Groups_Oplus__class_Oplus(_u1971, _u1973, _u1974)) | c_Orderings_Oord__class_Oless(_u1971, c_Groups_Oabs__class_Oabs(_u1971, c_Groups_Ominus__class_Ominus(_u1971, _u1972, _u1973)), _u1974) )).
% 15.21/15.41 cnf(matrix-1032, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem11) )).
% 15.21/15.41 cnf(matrix-1033, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1975), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____), _u1975)), skolem11) )).
% 15.21/15.41 cnf(matrix-1034, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.41 cnf(matrix-1035, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1978, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1978) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1978)) )).
% 15.21/15.41 cnf(matrix-1036, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1979, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1979) = _u1979) )).
% 15.21/15.41 cnf(matrix-1037, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1982, _u1984) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1982, _u1984), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1038, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1983, _u1985), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1983, _u1985) )).
% 15.21/15.41 cnf(matrix-1039, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1988, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1990, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1988, _u1990) )).
% 15.21/15.41 cnf(matrix-1040, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1989, _u1991) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1989, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1991, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.21/15.41 cnf(matrix-1041, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1992, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1993)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1992, _u1993)) )).
% 15.21/15.41 cnf(matrix-1042, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1994, _u1995) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1994, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1995))) )).
% 15.21/15.41 cnf(matrix-1043, plain, ( ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1996), _u1997)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1996) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1044, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1999), c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1999 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1045, plain, ( ( _u2000 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2000), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1046, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2001)), _u2002)) )).
% 15.21/15.41 cnf(matrix-1047, plain, ( ( hAPP(_u2014, _u2004) = hAPP(_u2014, _u2003)) | ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u2010, _u2012, _u2014) )).
% 15.21/15.41 cnf(matrix-1048, plain, ( ( hAPP(_u2015, skolem12(_u2015)) != hAPP(_u2015, skolem13(_u2015))) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u2011, _u2013, _u2015) )).
% 15.21/15.41 cnf(matrix-1049, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1050, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2016), _u2016) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1051, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1052, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2017) = _u2017) )).
% 15.21/15.41 cnf(matrix-1053, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2019) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2019) )).
% 15.21/15.41 cnf(matrix-1054, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2020) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2020) )).
% 15.21/15.41 cnf(matrix-1055, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2021, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2021) )).
% 15.21/15.41 cnf(matrix-1056, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2024, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2026, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2024, _u2026) )).
% 15.21/15.41 cnf(matrix-1057, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2025, _u2027) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2025, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2027, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.21/15.41 cnf(matrix-1058, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2032, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, _u2032) | ( _u2030 = _u2032) )).
% 15.21/15.41 cnf(matrix-1059, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2033, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, _u2033) )).
% 15.21/15.41 cnf(matrix-1060, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2031, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2033, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2031 != _u2033) )).
% 15.21/15.41 cnf(matrix-1061, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2036, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2038) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2036, _u2038) )).
% 15.21/15.41 cnf(matrix-1062, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2037, _u2039) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2037, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2039) )).
% 15.21/15.41 cnf(matrix-1063, plain, ( ~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), _u2041), _u2041), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2041, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1064, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2042, 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), _u2042), _u2042), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1065, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2043) | 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), _u2043)) )).
% 15.21/15.41 cnf(matrix-1066, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2044, _u2045) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2044, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2045) )).
% 15.21/15.41 cnf(matrix-1067, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2046, _u2047) | ( _u2046 = _u2047) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2047, _u2046) )).
% 15.21/15.41 cnf(matrix-1068, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2048, _u2049) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2050, _u2051) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2048, _u2050), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2049, _u2051)) )).
% 15.21/15.41 cnf(matrix-1069, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2052, _u2053) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2054, _u2052), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2054, _u2053)) )).
% 15.21/15.41 cnf(matrix-1070, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2055, _u2056) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2055, _u2057), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2056, _u2057)) )).
% 15.21/15.41 cnf(matrix-1071, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2058, _u2059), _u2060) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2058, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2059, _u2060))) )).
% 15.21/15.41 cnf(matrix-1072, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2061, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2062, _u2063)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2062, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2061, _u2063))) )).
% 15.21/15.41 cnf(matrix-1073, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2066, _u2068) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2066, _u2068) )).
% 15.21/15.41 cnf(matrix-1074, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2066, _u2068) | ( _u2066 != _u2068) )).
% 15.21/15.41 cnf(matrix-1075, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2067, _u2069) | ( _u2067 = _u2069) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2067, _u2069) )).
% 15.21/15.41 cnf(matrix-1076, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2070, _u2071) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2071, _u2070)) )).
% 15.21/15.41 cnf(matrix-1077, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2072, _u2073)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2072), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2073))) )).
% 15.21/15.41 cnf(matrix-1078, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2074)) = _u2074) )).
% 15.21/15.41 cnf(matrix-1079, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2075), _u2075) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1080, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1081, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2078)), _u2080)) | ( _u2078 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2080 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1082, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2079)), _u2081)) | ( _u2079 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1083, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u2079)), _u2081)) | ( _u2081 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1084, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2082) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2083, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2084, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2084, _u2083)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2082))) )).
% 15.21/15.41 cnf(matrix-1085, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2085) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2086, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2086, _u2087)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2085)), _u2087) )).
% 15.21/15.41 cnf(matrix-1086, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2088) | ( _u2088 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2089, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2088), _u2090))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2089, _u2088) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2090) )).
% 15.21/15.41 cnf(matrix-1087, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1088, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _u2091))) )).
% 15.21/15.41 cnf(matrix-1089, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.41 cnf(matrix-1090, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2092, _u2092) )).
% 15.21/15.41 cnf(matrix-1091, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2093, _u2094) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2094, _u2093) )).
% 15.21/15.41 cnf(matrix-1092, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2096) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2096, _u2097) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2097) )).
% 15.21/15.41 cnf(matrix-1093, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2098, _u2099) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2099, _u2098) | ( _u2098 = _u2099) )).
% 15.21/15.41 cnf(matrix-1094, plain, ( ~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, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2100), _u2101), _u2102)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2102, _u2100) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2100) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2101) )).
% 15.21/15.41 cnf(matrix-1095, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2103), _u2104), _u2105), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2105) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2103) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2104, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1096, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2106), _u2107), _u2108), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2106), _u2109), _u2110)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2108) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2108, _u2106) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2110, _u2106) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2107, _u2109) )).
% 15.21/15.41 cnf(matrix-1097, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2111), _u2112), _u2113) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2114), _u2115), _u2116)) | ~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, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2114), _u2115), _u2116)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2116, _u2114) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2113) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2114) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2114, _u2111) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2112, _u2115) )).
% 15.21/15.41 cnf(matrix-1098, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2117), _u2118), _u2119), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2117), _u2120), _u2121)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2121, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2117, _u2121) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2117, _u2119) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2120, _u2118) )).
% 15.21/15.41 cnf(matrix-1099, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2122), _u2123), _u2124) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2125), _u2126), _u2127)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2125), _u2126), _u2127), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2124, _u2122) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2127) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2125) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2125, _u2122) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2126, _u2123) )).
% 15.21/15.41 cnf(matrix-1100, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2128) | ( _u2128 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2129, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2128), _u2130))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2129) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2130, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.21/15.41 cnf(matrix-1101, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.41 cnf(matrix-1102, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2131) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2131), _u2132)) )).
% 15.21/15.41 cnf(matrix-1103, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2133) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2134) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2133), _u2134)) )).
% 15.21/15.41 cnf(matrix-1104, plain, ( ~class_Groups_Ozero(_u2135) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2135, _u2136) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2136 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2135))) )).
% 15.21/15.41 cnf(matrix-1105, plain, ( ~class_Groups_Ozero(_u2135) | ( _u2136 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2135))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2135, _u2136) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1106, plain, ( 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)) )).
% 15.21/15.41 cnf(matrix-1107, plain, ( 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)) )).
% 15.21/15.41 cnf(matrix-1108, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2137) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2138) | 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, _u2137, _u2138)) )).
% 15.21/15.41 cnf(matrix-1109, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2139) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2139))) )).
% 15.21/15.41 cnf(matrix-1110, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, _u2141), c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2141)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2141), skolem14(_u2141)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1111, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem15) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.41 cnf(matrix-1112, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, skolem15), _u2142) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2142))) )).
% 15.21/15.41 cnf(matrix-1113, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.21/15.41 cnf(matrix-1114, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1115, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.21/15.41 cnf(matrix-1116, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.21/15.41 cnf(matrix-1117, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), _u2144))) )).
% 15.21/15.41 cnf(matrix-1118, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) )).
% 15.21/15.41 cnf(matrix-1119, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_s____), v_k____), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.41 cnf(matrix-1120, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), skolem16) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1121, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2147)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2147)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.41 cnf(matrix-1122, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2148)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2148)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-1123, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.41 cnf(matrix-1124, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.41 cnf(matrix-1125, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2149) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2149)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.21/15.41 cnf(matrix-1126, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1127, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.41 cnf(matrix-1128, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2150) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _u2150), v_k____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____)), _u2150)))) )).
% 15.21/15.41 cnf(matrix-1129, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem17)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-1130, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem18) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), skolem19)) )).
% 15.21/15.41 cnf(matrix-1131, plain, ( ~class_Rings_Ocomm__semiring__0(_u2154) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2154), c_Polynomial_Osmult(_u2154, _u2155, _u2156), c_Polynomial_OpCons(_u2154, _u2157, _u2156)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2154))) | ( _u2156 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2154))) )).
% 15.21/15.41 cnf(matrix-1132, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) )).
% 15.21/15.41 cnf(matrix-1133, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) )).
% 15.21/15.41 cnf(matrix-1134, plain, ( ~class_Rings_Ocomm__ring__1(_u2158) | ( hAPP(c_Polynomial_Opoly(_u2158, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2158)), c_Polynomial_Omonom(_u2158, c_Groups_Oone__class_Oone(_u2158), _u2159)), _u2160)), _u2161) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2158), hAPP(hAPP(c_Power_Opower__class_Opower(_u2158), _u2161), _u2159)), hAPP(c_Polynomial_Opoly(_u2158, _u2160), _u2161))) )).
% 15.21/15.41 cnf(matrix-1135, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, c_Groups_Oone__class_Oone(tc_Complex_Ocomplex), c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat))))), skolem20) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1136, plain, ( ~class_Groups_Ozero(_u2163) | ( c_Polynomial_Omonom(_u2163, _u2164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(_u2163, _u2164, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2163)))) )).
% 15.21/15.41 cnf(matrix-1137, plain, ( ~class_Groups_Oab__group__add(_u2165) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2165), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2165)), _u2166) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2165), _u2166)) )).
% 15.21/15.41 cnf(matrix-1138, plain, ( ~class_Groups_Oab__group__add(_u2167) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2167), _u2168, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2167))) = _u2168) )).
% 15.21/15.41 cnf(matrix-1139, plain, ( ~class_Rings_Ocomm__semiring__0(_u2169) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2169)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2169))), _u2170) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2169))) )).
% 15.21/15.41 cnf(matrix-1140, plain, ( ~class_Rings_Ocomm__semiring__0(_u2171) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2171)), _u2172), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) )).
% 15.21/15.41 cnf(matrix-1141, plain, ( ~class_Groups_Oab__group__add(_u2173) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2173), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173))) )).
% 15.21/15.41 cnf(matrix-1142, plain, ( ~class_Rings_Olinordered__idom(_u2174) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2174), _u2175, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2174))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2174), _u2175) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2174), _u2175)) )).
% 15.21/15.41 cnf(matrix-1143, plain, ( ~class_Rings_Olinordered__idom(_u2174) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2174), _u2175, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2174))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2174), _u2175) = _u2175) )).
% 15.21/15.41 cnf(matrix-1144, plain, ( ~class_Int_Oring__char__0(_u2176) | ~class_Rings_Oidom(_u2176) | ( c_Polynomial_Opoly(_u2176, _u2177) != c_Polynomial_Opoly(_u2176, _u2178)) | ( _u2177 = _u2178) )).
% 15.21/15.41 cnf(matrix-1145, plain, ( ~class_Int_Oring__char__0(_u2176) | ~class_Rings_Oidom(_u2176) | ( _u2177 != _u2178) | ( c_Polynomial_Opoly(_u2176, _u2177) = c_Polynomial_Opoly(_u2176, _u2178)) )).
% 15.21/15.41 cnf(matrix-1146, plain, ( ~class_Groups_Ozero(_u2179) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) != c_Polynomial_OpCons(_u2179, _u2182, _u2183)) | ( _u2180 = _u2182) )).
% 15.21/15.41 cnf(matrix-1147, plain, ( ~class_Groups_Ozero(_u2179) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) != c_Polynomial_OpCons(_u2179, _u2182, _u2183)) | ( _u2181 = _u2183) )).
% 15.21/15.41 cnf(matrix-1148, plain, ( ~class_Groups_Ozero(_u2179) | ( _u2180 != _u2182) | ( _u2181 != _u2183) | ( c_Polynomial_OpCons(_u2179, _u2180, _u2181) = c_Polynomial_OpCons(_u2179, _u2182, _u2183)) )).
% 15.21/15.41 cnf(matrix-1149, plain, ( ~class_Rings_Ocomm__ring(_u2184) | ( c_Polynomial_Osmult(_u2184, _u2185, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2184), _u2186, _u2187)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2184), c_Polynomial_Osmult(_u2184, _u2185, _u2186), c_Polynomial_Osmult(_u2184, _u2185, _u2187))) )).
% 15.21/15.41 cnf(matrix-1150, plain, ( ~class_Rings_Ocomm__ring(_u2188) | ( c_Polynomial_Osmult(_u2188, _u2189, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2188), _u2190)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2188), c_Polynomial_Osmult(_u2188, _u2189, _u2190))) )).
% 15.21/15.41 cnf(matrix-1151, plain, ( ~class_Rings_Ocomm__semiring__0(_u2191) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2191)), c_Polynomial_Osmult(_u2191, _u2192, _u2193)), _u2194) = c_Polynomial_Osmult(_u2191, _u2192, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2191)), _u2193), _u2194))) )).
% 15.21/15.41 cnf(matrix-1152, plain, ( ~class_Rings_Ocomm__semiring__0(_u2195) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2195)), _u2196), c_Polynomial_Osmult(_u2195, _u2197, _u2198)) = c_Polynomial_Osmult(_u2195, _u2197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2195)), _u2196), _u2198))) )).
% 15.21/15.41 cnf(matrix-1153, plain, ( ~class_Rings_Ocomm__semiring__0(_u2199) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2199), _u2200, _u2201)), _u2202) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), _u2200), _u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2199)), _u2201), _u2202))) )).
% 15.21/15.41 cnf(matrix-1154, plain, ( ~class_Groups_Ozero(_u2203) | ( c_Polynomial_Omonom(_u2203, _u2204, _u2205) != c_Polynomial_Omonom(_u2203, _u2206, _u2205)) | ( _u2204 = _u2206) )).
% 15.21/15.41 cnf(matrix-1155, plain, ( ~class_Groups_Ozero(_u2203) | ( _u2204 != _u2206) | ( c_Polynomial_Omonom(_u2203, _u2204, _u2205) = c_Polynomial_Omonom(_u2203, _u2206, _u2205)) )).
% 15.21/15.41 cnf(matrix-1156, plain, ( ~class_Rings_Ocomm__semiring__0(_u2207) | ( hAPP(c_Polynomial_Opoly(_u2207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2207)), _u2208), _u2209)), _u2210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2207), hAPP(c_Polynomial_Opoly(_u2207, _u2208), _u2210)), hAPP(c_Polynomial_Opoly(_u2207, _u2209), _u2210))) )).
% 15.21/15.41 cnf(matrix-1157, plain, ( ~class_Rings_Ocomm__semiring__1(_u2211) | ( hAPP(c_Polynomial_Opoly(_u2211, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2211))), _u2212) = c_Groups_Oone__class_Oone(_u2211)) )).
% 15.21/15.41 cnf(matrix-1158, plain, ( ~class_Rings_Ocomm__ring(_u2213) | ( hAPP(c_Polynomial_Opoly(_u2213, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2213), _u2214, _u2215)), _u2216) = c_Groups_Ominus__class_Ominus(_u2213, hAPP(c_Polynomial_Opoly(_u2213, _u2214), _u2216), hAPP(c_Polynomial_Opoly(_u2213, _u2215), _u2216))) )).
% 15.21/15.41 cnf(matrix-1159, plain, ( ~class_Rings_Ocomm__ring(_u2217) | ( hAPP(c_Polynomial_Opoly(_u2217, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2217), _u2218)), _u2219) = c_Groups_Ouminus__class_Ouminus(_u2217, hAPP(c_Polynomial_Opoly(_u2217, _u2218), _u2219))) )).
% 15.21/15.41 cnf(matrix-1160, plain, ( ~class_Rings_Ocomm__semiring__1(_u2220) | ( hAPP(c_Polynomial_Opoly(_u2220, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2220)), _u2221), _u2222)), _u2223) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2220), hAPP(c_Polynomial_Opoly(_u2220, _u2221), _u2223)), _u2222)) )).
% 15.21/15.41 cnf(matrix-1161, plain, ( ~class_Groups_Oab__group__add(_u2224) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2224), c_Polynomial_OpCons(_u2224, _u2225, _u2226), c_Polynomial_OpCons(_u2224, _u2227, _u2228)) = c_Polynomial_OpCons(_u2224, c_Groups_Ominus__class_Ominus(_u2224, _u2225, _u2227), c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2224), _u2226, _u2228))) )).
% 15.21/15.41 cnf(matrix-1162, plain, ( ~class_Rings_Ocomm__semiring__0(_u2229) | ( c_Polynomial_Osmult(_u2229, _u2230, c_Polynomial_Osmult(_u2229, _u2231, _u2232)) = c_Polynomial_Osmult(_u2229, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2229), _u2230), _u2231), _u2232)) )).
% 15.21/15.41 cnf(matrix-1163, plain, ( ~class_Rings_Ocomm__semiring__1(_u2233) | ( c_Polynomial_Osmult(_u2233, c_Groups_Oone__class_Oone(_u2233), _u2234) = _u2234) )).
% 15.21/15.41 cnf(matrix-1164, plain, ( ~class_Groups_Oab__group__add(_u2235) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2235), c_Polynomial_OpCons(_u2235, _u2236, _u2237)) = c_Polynomial_OpCons(_u2235, c_Groups_Ouminus__class_Ouminus(_u2235, _u2236), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2235), _u2237))) )).
% 15.21/15.41 cnf(matrix-1165, plain, ( ~class_Groups_Oab__group__add(_u2238) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2238), c_Polynomial_OpCons(_u2238, _u2239, _u2240)) = c_Polynomial_OpCons(_u2238, c_Groups_Ouminus__class_Ouminus(_u2238, _u2239), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2238), _u2240))) )).
% 15.21/15.41 cnf(matrix-1166, plain, ( ~class_Rings_Ocomm__ring(_u2241) | ( c_Polynomial_Osmult(_u2241, c_Groups_Ominus__class_Ominus(_u2241, _u2242, _u2243), _u2244) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2241), c_Polynomial_Osmult(_u2241, _u2242, _u2244), c_Polynomial_Osmult(_u2241, _u2243, _u2244))) )).
% 15.21/15.41 cnf(matrix-1167, plain, ( ~class_Rings_Ocomm__ring(_u2245) | ( c_Polynomial_Osmult(_u2245, c_Groups_Ouminus__class_Ouminus(_u2245, _u2246), _u2247) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2245), c_Polynomial_Osmult(_u2245, _u2246, _u2247))) )).
% 15.21/15.41 cnf(matrix-1168, plain, ( ~class_Int_Oring__char__0(_u2248) | ~class_Rings_Oidom(_u2248) | ( c_Polynomial_Opoly(_u2248, _u2249) != c_Polynomial_Opoly(_u2248, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248)))) | ( _u2249 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248))) )).
% 15.21/15.41 cnf(matrix-1169, plain, ( ~class_Int_Oring__char__0(_u2248) | ~class_Rings_Oidom(_u2248) | ( _u2249 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248))) | ( c_Polynomial_Opoly(_u2248, _u2249) = c_Polynomial_Opoly(_u2248, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2248)))) )).
% 15.21/15.41 cnf(matrix-1170, plain, ( ~class_Rings_Ocomm__semiring__0(_u2250) | ( c_Polynomial_Osmult(_u2250, _u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2250))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2250))) )).
% 15.21/15.41 cnf(matrix-1171, plain, ( ~class_Groups_Oab__group__add(_u2252) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2252), c_Polynomial_Omonom(_u2252, _u2253, _u2254), c_Polynomial_Omonom(_u2252, _u2255, _u2254)) = c_Polynomial_Omonom(_u2252, c_Groups_Ominus__class_Ominus(_u2252, _u2253, _u2255), _u2254)) )).
% 15.21/15.41 cnf(matrix-1172, plain, ( ~class_Groups_Oab__group__add(_u2256) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2256), c_Polynomial_Omonom(_u2256, _u2257, _u2258)) = c_Polynomial_Omonom(_u2256, c_Groups_Ouminus__class_Ouminus(_u2256, _u2257), _u2258)) )).
% 15.21/15.41 cnf(matrix-1173, plain, ( ~class_Groups_Ocomm__monoid__add(_u2259) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2259), _u2260, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2259))) = _u2260) )).
% 15.21/15.41 cnf(matrix-1174, plain, ( ~class_Groups_Ocomm__monoid__add(_u2261) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2261), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2261)), _u2262) = _u2262) )).
% 15.21/15.41 cnf(matrix-1175, plain, ( ~class_Rings_Ocomm__semiring__0(_u2263) | ( c_Polynomial_Osmult(_u2263, _u2264, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2263), _u2265, _u2266)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2263), c_Polynomial_Osmult(_u2263, _u2264, _u2265), c_Polynomial_Osmult(_u2263, _u2264, _u2266))) )).
% 15.21/15.41 cnf(matrix-1176, plain, ( ~class_Rings_Ocomm__semiring__0(_u2267) | ( hAPP(c_Polynomial_Opoly(_u2267, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2267))), _u2268) = c_Groups_Ozero__class_Ozero(_u2267)) )).
% 15.21/15.41 cnf(matrix-1177, plain, ( ~class_Groups_Ozero(_u2269) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( _u2270 = c_Groups_Ozero__class_Ozero(_u2269)) )).
% 15.21/15.41 cnf(matrix-1178, plain, ( ~class_Groups_Ozero(_u2269) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( _u2271 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) )).
% 15.21/15.41 cnf(matrix-1179, plain, ( ~class_Groups_Ozero(_u2269) | ( _u2270 != c_Groups_Ozero__class_Ozero(_u2269)) | ( _u2271 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) | ( c_Polynomial_OpCons(_u2269, _u2270, _u2271) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2269))) )).
% 15.21/15.41 cnf(matrix-1180, plain, ( ~class_Groups_Ozero(_u2272) | ( c_Polynomial_OpCons(_u2272, c_Groups_Ozero__class_Ozero(_u2272), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2272))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2272))) )).
% 15.21/15.41 cnf(matrix-1181, plain, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 = c_Groups_Ozero__class_Ozero(_u2273)) | ( _u2275 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.21/15.41 cnf(matrix-1182, plain, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 != c_Groups_Ozero__class_Ozero(_u2273)) )).
% 15.21/15.41 cnf(matrix-1183, plain, ( ~class_Rings_Oidom(_u2273) | ( c_Polynomial_Osmult(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.21/15.41 cnf(matrix-1184, plain, ( ~class_Rings_Ocomm__semiring__0(_u2276) | ( c_Polynomial_Osmult(_u2276, c_Groups_Ozero__class_Ozero(_u2276), _u2277) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2276))) )).
% 15.21/15.41 cnf(matrix-1185, plain, ( ~class_Rings_Ocomm__semiring__1(_u2278) | ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2278)) = c_Polynomial_OpCons(_u2278, c_Groups_Oone__class_Oone(_u2278), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278)))) )).
% 15.21/15.41 cnf(matrix-1186, plain, ( ~class_Rings_Ocomm__semiring__0(_u2279) | ( hAPP(c_Polynomial_Opoly(_u2279, c_Polynomial_Osmult(_u2279, _u2280, _u2281)), _u2282) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2280), hAPP(c_Polynomial_Opoly(_u2279, _u2281), _u2282))) )).
% 15.21/15.41 cnf(matrix-1187, plain, ( ~class_Rings_Ocomm__semiring__0(_u2283) | ( c_Polynomial_Osmult(_u2283, _u2284, c_Polynomial_OpCons(_u2283, _u2285, _u2286)) = c_Polynomial_OpCons(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2285), c_Polynomial_Osmult(_u2283, _u2284, _u2286))) )).
% 15.21/15.41 cnf(matrix-1188, plain, ( ~class_Rings_Ocomm__semiring__0(_u2287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2287)), c_Polynomial_Omonom(_u2287, _u2288, _u2289)), c_Polynomial_Omonom(_u2287, _u2290, _u2291)) = c_Polynomial_Omonom(_u2287, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2287), _u2288), _u2290), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2289, _u2291))) )).
% 15.21/15.41 cnf(matrix-1189, plain, ( ~class_Groups_Ozero(_u2292) | ( c_Polynomial_Omonom(_u2292, c_Groups_Ozero__class_Ozero(_u2292), _u2293) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2292))) )).
% 15.21/15.41 cnf(matrix-1190, plain, ( ~class_Groups_Ozero(_u2294) | ( c_Polynomial_Omonom(_u2294, _u2295, _u2296) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2294))) | ( _u2295 = c_Groups_Ozero__class_Ozero(_u2294)) )).
% 15.21/15.41 cnf(matrix-1191, plain, ( ~class_Groups_Ozero(_u2294) | ( _u2295 != c_Groups_Ozero__class_Ozero(_u2294)) | ( c_Polynomial_Omonom(_u2294, _u2295, _u2296) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2294))) )).
% 15.21/15.41 cnf(matrix-1192, plain, ( ~class_Rings_Ocomm__semiring__0(_u2297) | ( hAPP(c_Polynomial_Opoly(_u2297, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2297), _u2298, _u2299)), _u2300) = c_Groups_Oplus__class_Oplus(_u2297, hAPP(c_Polynomial_Opoly(_u2297, _u2298), _u2300), hAPP(c_Polynomial_Opoly(_u2297, _u2299), _u2300))) )).
% 15.21/15.41 cnf(matrix-1193, plain, ( ~class_Groups_Ocomm__monoid__add(_u2301) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2301), c_Polynomial_OpCons(_u2301, _u2302, _u2303), c_Polynomial_OpCons(_u2301, _u2304, _u2305)) = c_Polynomial_OpCons(_u2301, c_Groups_Oplus__class_Oplus(_u2301, _u2302, _u2304), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2301), _u2303, _u2305))) )).
% 15.21/15.41 cnf(matrix-1194, plain, ( ~class_Rings_Ocomm__semiring__0(_u2306) | ( c_Polynomial_Osmult(_u2306, _u2307, _u2308) != c_Polynomial_OpCons(_u2306, _u2309, _u2308)) | ( _u2308 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2306))) )).
% 15.21/15.41 cnf(matrix-1195, plain, ( ~class_Rings_Ocomm__semiring__0(_u2310) | ( c_Polynomial_Osmult(_u2310, c_Groups_Oplus__class_Oplus(_u2310, _u2311, _u2312), _u2313) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2310), c_Polynomial_Osmult(_u2310, _u2311, _u2313), c_Polynomial_Osmult(_u2310, _u2312, _u2313))) )).
% 15.21/15.41 cnf(matrix-1196, plain, ( ~class_Rings_Ocomm__semiring__0(_u2314) | ( c_Polynomial_Osmult(_u2314, _u2315, c_Polynomial_Omonom(_u2314, _u2316, _u2317)) = c_Polynomial_Omonom(_u2314, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2314), _u2315), _u2316), _u2317)) )).
% 15.21/15.41 cnf(matrix-1197, plain, ( ~class_Groups_Ocomm__monoid__add(_u2318) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2318), c_Polynomial_Omonom(_u2318, _u2319, _u2320), c_Polynomial_Omonom(_u2318, _u2321, _u2320)) = c_Polynomial_Omonom(_u2318, c_Groups_Oplus__class_Oplus(_u2318, _u2319, _u2321), _u2320)) )).
% 15.21/15.41 cnf(matrix-1198, plain, ( ~class_Rings_Ocomm__semiring__0(_u2322) | ( hAPP(c_Polynomial_Opoly(_u2322, c_Polynomial_OpCons(_u2322, _u2323, _u2324)), _u2325) = c_Groups_Oplus__class_Oplus(_u2322, _u2323, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2322), _u2325), hAPP(c_Polynomial_Opoly(_u2322, _u2324), _u2325)))) )).
% 15.21/15.41 cnf(matrix-1199, plain, ( ~class_Rings_Ocomm__semiring__1(_u2326) | ( hAPP(c_Polynomial_Opoly(_u2326, c_Polynomial_Omonom(_u2326, _u2327, _u2328)), _u2329) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2326), _u2327), hAPP(hAPP(c_Power_Opower__class_Opower(_u2326), _u2329), _u2328))) )).
% 15.21/15.41 cnf(matrix-1200, plain, ( ~class_Rings_Ocomm__semiring__0(_u2330) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2330)), _u2331), c_Polynomial_OpCons(_u2330, _u2332, _u2333)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2330), c_Polynomial_Osmult(_u2330, _u2332, _u2331), c_Polynomial_OpCons(_u2330, c_Groups_Ozero__class_Ozero(_u2330), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2330)), _u2331), _u2333)))) )).
% 15.21/15.41 cnf(matrix-1201, plain, ( ~class_Rings_Ocomm__semiring__0(_u2334) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2334)), c_Polynomial_OpCons(_u2334, _u2335, _u2336)), _u2337) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2334), c_Polynomial_Osmult(_u2334, _u2335, _u2337), c_Polynomial_OpCons(_u2334, c_Groups_Ozero__class_Ozero(_u2334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2334)), _u2336), _u2337)))) )).
% 15.21/15.41 cnf(matrix-1202, plain, ( ~class_Rings_Ocomm__ring__1(_u2338) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2338), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2338)), c_Polynomial_OpCons(_u2338, c_Groups_Ouminus__class_Ouminus(_u2338, _u2339), c_Polynomial_OpCons(_u2338, c_Groups_Oone__class_Oone(_u2338), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2338))))), c_Polynomial_Osynthetic__div(_u2338, _u2340, _u2339)), c_Polynomial_OpCons(_u2338, hAPP(c_Polynomial_Opoly(_u2338, _u2340), _u2339), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2338)))) = _u2340) )).
% 15.21/15.41 cnf(matrix-1203, plain, ( ~class_Rings_Ocomm__semiring__0(_u2341) | ( c_Polynomial_Opcompose(_u2341, c_Polynomial_OpCons(_u2341, _u2342, _u2343), _u2344) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2341), c_Polynomial_OpCons(_u2341, _u2342, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), _u2344), c_Polynomial_Opcompose(_u2341, _u2343, _u2344)))) )).
% 15.21/15.41 cnf(matrix-1204, plain, ( ~class_Rings_Ocomm__semiring__0(_u2345) | ( c_Polynomial_Osynthetic__div(_u2345, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2345)), _u2346) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2345))) )).
% 15.21/15.41 cnf(matrix-1205, plain, ( ~class_Rings_Ocomm__semiring__0(_u2347) | ( c_Polynomial_Opcompose(_u2347, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2347)), _u2348) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2347))) )).
% 15.21/15.41 cnf(matrix-1206, plain, ( ~class_Rings_Ocomm__semiring__0(_u2349) | ( hAPP(c_Polynomial_Opoly(_u2349, c_Polynomial_Opcompose(_u2349, _u2350, _u2351)), _u2352) = hAPP(c_Polynomial_Opoly(_u2349, _u2350), hAPP(c_Polynomial_Opoly(_u2349, _u2351), _u2352))) )).
% 15.21/15.41 cnf(matrix-1207, plain, ( ~class_Rings_Ocomm__semiring__0(_u2353) | ( c_Polynomial_Osynthetic__div(_u2353, c_Polynomial_OpCons(_u2353, _u2354, _u2355), _u2356) = c_Polynomial_OpCons(_u2353, hAPP(c_Polynomial_Opoly(_u2353, _u2355), _u2356), c_Polynomial_Osynthetic__div(_u2353, _u2355, _u2356))) )).
% 15.21/15.41 cnf(matrix-1208, plain, ( ~class_Rings_Ocomm__semiring__0(_u2357) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2357), _u2358, c_Polynomial_Osmult(_u2357, _u2359, _u2360)) != c_Polynomial_OpCons(_u2357, _u2361, _u2360)) | ( _u2361 = hAPP(c_Polynomial_Opoly(_u2357, _u2358), _u2359)) )).
% 15.21/15.41 cnf(matrix-1209, plain, ( ~class_Rings_Ocomm__semiring__0(_u2357) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2357), _u2358, c_Polynomial_Osmult(_u2357, _u2359, _u2360)) != c_Polynomial_OpCons(_u2357, _u2361, _u2360)) | ( _u2360 = c_Polynomial_Osynthetic__div(_u2357, _u2358, _u2359)) )).
% 15.21/15.41 cnf(matrix-1210, plain, ( ~class_Rings_Ocomm__semiring__0(_u2362) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2362), _u2363, c_Polynomial_Osmult(_u2362, _u2364, c_Polynomial_Osynthetic__div(_u2362, _u2363, _u2364))) = c_Polynomial_OpCons(_u2362, hAPP(c_Polynomial_Opoly(_u2362, _u2363), _u2364), c_Polynomial_Osynthetic__div(_u2362, _u2363, _u2364))) )).
% 15.21/15.41 cnf(matrix-1211, plain, ( ~class_RealVector_Oreal__algebra__1(_u2367) | ~class_RealVector_Oreal__normed__vector(_u2367) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem21(_u2367)) )).
% 15.21/15.41 cnf(matrix-1212, plain, ( ~class_RealVector_Oreal__algebra__1(_u2367) | ~class_RealVector_Oreal__normed__vector(_u2367) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2367, c_RealVector_Oof__real(_u2367, _u2365)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2365)), skolem21(_u2367))) )).
% 15.21/15.41 cnf(matrix-1213, plain, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) != c_Groups_Ozero__class_Ozero(_u2368)) | ( _u2369 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2368))) | ( c_Polynomial_Oorder(_u2368, _u2370, _u2369) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1214, plain, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) = c_Groups_Ozero__class_Ozero(_u2368)) | ( _u2369 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2368))) )).
% 15.21/15.41 cnf(matrix-1215, plain, ( ~class_Rings_Oidom(_u2368) | ( hAPP(c_Polynomial_Opoly(_u2368, _u2369), _u2370) = c_Groups_Ozero__class_Ozero(_u2368)) | ( c_Polynomial_Oorder(_u2368, _u2370, _u2369) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1216, plain, ( ~class_Orderings_Opreorder(_u2371) | c_Orderings_Oord__class_Oless__eq(_u2371, _u2372, _u2372) )).
% 15.21/15.41 cnf(matrix-1217, plain, ( ( skolem22 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1218, plain, ( ( skolem23 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.21/15.41 cnf(matrix-1219, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem24), skolem22), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____))) )).
% 15.21/15.41 cnf(matrix-1220, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), _u2373) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_Osmult(tc_Complex_Ocomplex, c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))), v_q____)), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), _u2373), skolem22)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, skolem23, skolem24)), _u2373)))) )).
% 15.21/15.41 cnf(matrix-1221, plain, ( ~class_Orderings_Oord(_u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2380, _u2379), _u2381, _u2382) | c_Orderings_Oord__class_Oless__eq(_u2379, hAPP(_u2381, _u2377), hAPP(_u2382, _u2377)) )).
% 15.21/15.41 cnf(matrix-1222, plain, ( ~class_Orderings_Oord(_u2379) | ~c_Orderings_Oord__class_Oless__eq(_u2379, hAPP(_u2381, skolem25(_u2382, _u2381, _u2380, _u2379)), hAPP(_u2382, skolem25(_u2382, _u2381, _u2380, _u2379))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2380, _u2379), _u2381, _u2382) )).
% 15.21/15.41 cnf(matrix-1223, plain, ( ~class_Orderings_Olinorder(_u2383) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2384, _u2385) | c_Orderings_Oord__class_Oless__eq(_u2383, _u2385, _u2384) )).
% 15.21/15.41 cnf(matrix-1224, plain, ( ~class_Orderings_Oorder(_u2386) | ( _u2387 != _u2388) | c_Orderings_Oord__class_Oless__eq(_u2386, _u2387, _u2388) )).
% 15.21/15.41 cnf(matrix-1225, plain, ( ~class_Orderings_Oorder(_u2386) | ( _u2387 != _u2388) | c_Orderings_Oord__class_Oless__eq(_u2386, _u2388, _u2387) )).
% 15.21/15.41 cnf(matrix-1226, plain, ( ~class_Orderings_Oorder(_u2386) | ~c_Orderings_Oord__class_Oless__eq(_u2386, _u2387, _u2388) | ~c_Orderings_Oord__class_Oless__eq(_u2386, _u2388, _u2387) | ( _u2387 = _u2388) )).
% 15.21/15.41 cnf(matrix-1227, plain, ( ~class_Orderings_Opreorder(_u2389) | ( _u2390 != _u2391) | c_Orderings_Oord__class_Oless__eq(_u2389, _u2390, _u2391) )).
% 15.21/15.41 cnf(matrix-1228, plain, ( ~class_Orderings_Oord(_u2392) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2393, _u2392), _u2394, _u2395) | c_Orderings_Oord__class_Oless__eq(_u2392, hAPP(_u2394, _u2396), hAPP(_u2395, _u2396)) )).
% 15.21/15.41 cnf(matrix-1229, plain, ( ~class_Orderings_Oorder(_u2397) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2398, _u2399) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2399, _u2398) | ( _u2399 = _u2398) )).
% 15.21/15.41 cnf(matrix-1230, plain, ( ~class_Orderings_Oorder(_u2397) | ~c_Orderings_Oord__class_Oless__eq(_u2397, _u2398, _u2399) | ( _u2399 != _u2398) | c_Orderings_Oord__class_Oless__eq(_u2397, _u2399, _u2398) )).
% 15.21/15.41 cnf(matrix-1231, plain, ( ~class_Orderings_Oord(_u2400) | ( _u2401 != _u2402) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2402, _u2403) | c_Orderings_Oord__class_Oless__eq(_u2400, _u2401, _u2403) )).
% 15.21/15.41 cnf(matrix-1232, plain, ( ~class_Orderings_Oorder(_u2404) | ( _u2405 != _u2406) | ~c_Orderings_Oord__class_Oless__eq(_u2404, _u2407, _u2406) | c_Orderings_Oord__class_Oless__eq(_u2404, _u2407, _u2405) )).
% 15.21/15.41 cnf(matrix-1233, plain, ( ~class_Orderings_Oord(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2410) | ( _u2410 != _u2411) | c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2411) )).
% 15.21/15.41 cnf(matrix-1234, plain, ( ~class_Orderings_Oorder(_u2412) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2413, _u2414) | ( _u2413 != _u2415) | c_Orderings_Oord__class_Oless__eq(_u2412, _u2415, _u2414) )).
% 15.21/15.41 cnf(matrix-1235, plain, ( ~class_Orderings_Oorder(_u2416) | ~c_Orderings_Oord__class_Oless__eq(_u2416, _u2417, _u2418) | ~c_Orderings_Oord__class_Oless__eq(_u2416, _u2418, _u2417) | ( _u2417 = _u2418) )).
% 15.21/15.41 cnf(matrix-1236, plain, ( ~class_Orderings_Opreorder(_u2419) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2421) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2421, _u2422) | c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2422) )).
% 15.21/15.41 cnf(matrix-1237, plain, ( ~class_Orderings_Oorder(_u2423) | ~c_Orderings_Oord__class_Oless__eq(_u2423, _u2424, _u2425) | ~c_Orderings_Oord__class_Oless__eq(_u2423, _u2425, _u2424) | ( _u2425 = _u2424) )).
% 15.21/15.41 cnf(matrix-1238, plain, ( ~class_Orderings_Oorder(_u2426) | ~c_Orderings_Oord__class_Oless__eq(_u2426, _u2427, _u2428) | ~c_Orderings_Oord__class_Oless__eq(_u2426, _u2429, _u2427) | c_Orderings_Oord__class_Oless__eq(_u2426, _u2429, _u2428) )).
% 15.21/15.41 cnf(matrix-1239, plain, ( ~class_Orderings_Oord(_u2430) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2431, _u2430), _u2432, _u2433) | c_Orderings_Oord__class_Oless__eq(_u2430, hAPP(_u2432, _u2434), hAPP(_u2433, _u2434)) )).
% 15.21/15.41 cnf(matrix-1240, plain, ( ~class_Orderings_Olinorder(_u2435) | c_Orderings_Oord__class_Oless__eq(_u2435, _u2436, _u2437) | c_Orderings_Oord__class_Oless__eq(_u2435, _u2437, _u2436) )).
% 15.21/15.41 cnf(matrix-1241, plain, ( ~class_Orderings_Olinorder(_u2438) | c_Orderings_Oord__class_Oless(_u2438, _u2439, _u2440) | ( _u2439 = _u2440) | c_Orderings_Oord__class_Oless(_u2438, _u2440, _u2439) )).
% 15.21/15.41 cnf(matrix-1242, plain, ( ~class_Orderings_Opreorder(_u2441) | ~c_Orderings_Oord__class_Oless(_u2441, _u2442, _u2443) | ~c_Orderings_Oord__class_Oless(_u2441, _u2443, _u2442) )).
% 15.21/15.41 cnf(matrix-1243, plain, ( ~class_Orderings_Oorder(_u2444) | ~c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2446) | ~c_Orderings_Oord__class_Oless(_u2444, _u2447, _u2445) | c_Orderings_Oord__class_Oless(_u2444, _u2447, _u2446) )).
% 15.21/15.41 cnf(matrix-1244, plain, ( ~class_Orderings_Opreorder(_u2448) | ~c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2450) | ~c_Orderings_Oord__class_Oless(_u2448, _u2450, _u2451) | c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2451) )).
% 15.21/15.41 cnf(matrix-1245, plain, ( ~class_Orderings_Oorder(_u2452) | ~c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2454) | ( _u2453 != _u2455) | c_Orderings_Oord__class_Oless(_u2452, _u2455, _u2454) )).
% 15.21/15.41 cnf(matrix-1246, plain, ( ~class_Orderings_Oord(_u2456) | ~c_Orderings_Oord__class_Oless(_u2456, _u2457, _u2458) | ( _u2458 != _u2459) | c_Orderings_Oord__class_Oless(_u2456, _u2457, _u2459) )).
% 15.21/15.41 cnf(matrix-1247, plain, ( ~class_Orderings_Oorder(_u2460) | ( _u2461 != _u2462) | ~c_Orderings_Oord__class_Oless(_u2460, _u2463, _u2462) | c_Orderings_Oord__class_Oless(_u2460, _u2463, _u2461) )).
% 15.21/15.41 cnf(matrix-1248, plain, ( ~class_Orderings_Oord(_u2464) | ( _u2465 != _u2466) | ~c_Orderings_Oord__class_Oless(_u2464, _u2466, _u2467) | c_Orderings_Oord__class_Oless(_u2464, _u2465, _u2467) )).
% 15.21/15.41 cnf(matrix-1249, plain, ( ~class_Orderings_Oorder(_u2468) | ~c_Orderings_Oord__class_Oless(_u2468, _u2469, _u2470) | ~c_Orderings_Oord__class_Oless(_u2468, _u2470, _u2469) )).
% 15.21/15.41 cnf(matrix-1250, plain, ( ~class_Orderings_Opreorder(_u2471) | ~c_Orderings_Oord__class_Oless(_u2471, _u2472, _u2473) | ~c_Orderings_Oord__class_Oless(_u2471, _u2473, _u2472) )).
% 15.21/15.41 cnf(matrix-1251, plain, ( ~class_Orderings_Oorder(_u2474) | ~c_Orderings_Oord__class_Oless(_u2474, _u2475, _u2476) | ( _u2476 != _u2475) )).
% 15.21/15.41 cnf(matrix-1252, plain, ( ~class_Orderings_Oorder(_u2477) | ~c_Orderings_Oord__class_Oless(_u2477, _u2478, _u2479) | ( _u2478 != _u2479) )).
% 15.21/15.41 cnf(matrix-1253, plain, ( ~class_Orderings_Opreorder(_u2480) | ~c_Orderings_Oord__class_Oless(_u2480, _u2481, _u2482) | ~c_Orderings_Oord__class_Oless(_u2480, _u2482, _u2481) )).
% 15.21/15.41 cnf(matrix-1254, plain, ( ~class_Orderings_Opreorder(_u2483) | ~c_Orderings_Oord__class_Oless(_u2483, _u2484, _u2485) | ~c_Orderings_Oord__class_Oless(_u2483, _u2485, _u2484) )).
% 15.21/15.41 cnf(matrix-1255, plain, ( ~class_Orderings_Oorder(_u2486) | ~c_Orderings_Oord__class_Oless(_u2486, _u2487, _u2488) | ( _u2487 != _u2488) )).
% 15.21/15.41 cnf(matrix-1256, plain, ( ~class_Orderings_Olinorder(_u2489) | ( _u2490 = _u2491) | c_Orderings_Oord__class_Oless(_u2489, _u2490, _u2491) | c_Orderings_Oord__class_Oless(_u2489, _u2491, _u2490) )).
% 15.21/15.41 cnf(matrix-1257, plain, ( ~class_Orderings_Olinorder(_u2492) | c_Orderings_Oord__class_Oless(_u2492, _u2493, _u2494) | c_Orderings_Oord__class_Oless(_u2492, _u2494, _u2493) | ( _u2494 = _u2493) )).
% 15.21/15.41 cnf(matrix-1258, plain, ( ~class_Orderings_Olinorder(_u2492) | c_Orderings_Oord__class_Oless(_u2492, _u2493, _u2494) | ( _u2494 != _u2493) | ~c_Orderings_Oord__class_Oless(_u2492, _u2494, _u2493) )).
% 15.21/15.41 cnf(matrix-1259, plain, ( ~class_Orderings_Olinorder(_u2495) | c_Orderings_Oord__class_Oless(_u2495, _u2496, _u2497) | ( _u2496 = _u2497) | c_Orderings_Oord__class_Oless(_u2495, _u2497, _u2496) )).
% 15.21/15.41 cnf(matrix-1260, plain, ( ~class_Orderings_Olinorder(_u2498) | c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | c_Orderings_Oord__class_Oless(_u2498, _u2500, _u2499) | ( _u2499 = _u2500) )).
% 15.21/15.41 cnf(matrix-1261, plain, ( ~class_Orderings_Olinorder(_u2498) | ~c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | ~c_Orderings_Oord__class_Oless(_u2498, _u2500, _u2499) )).
% 15.21/15.41 cnf(matrix-1262, plain, ( ~class_Orderings_Olinorder(_u2498) | ~c_Orderings_Oord__class_Oless(_u2498, _u2499, _u2500) | ( _u2499 != _u2500) )).
% 15.21/15.41 cnf(matrix-1263, plain, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 = _u2503) | c_Orderings_Oord__class_Oless(_u2501, _u2502, _u2503) | c_Orderings_Oord__class_Oless(_u2501, _u2503, _u2502) )).
% 15.21/15.41 cnf(matrix-1264, plain, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 != _u2503) | ~c_Orderings_Oord__class_Oless(_u2501, _u2502, _u2503) )).
% 15.21/15.41 cnf(matrix-1265, plain, ( ~class_Orderings_Olinorder(_u2501) | ( _u2502 != _u2503) | ~c_Orderings_Oord__class_Oless(_u2501, _u2503, _u2502) )).
% 15.21/15.41 cnf(matrix-1266, plain, ( ~class_Orderings_Opreorder(_u2504) | ~c_Orderings_Oord__class_Oless(_u2504, _u2505, _u2505) )).
% 15.21/15.41 cnf(matrix-1267, plain, ( ~class_Orderings_Oorder(_u2506) | ~c_Orderings_Oord__class_Oless__eq(_u2506, _u2507, _u2508) | ~c_Orderings_Oord__class_Oless(_u2506, _u2509, _u2507) | c_Orderings_Oord__class_Oless(_u2506, _u2509, _u2508) )).
% 15.21/15.41 cnf(matrix-1268, plain, ( ~class_Orderings_Opreorder(_u2510) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2511, _u2512) | ~c_Orderings_Oord__class_Oless(_u2510, _u2512, _u2513) | c_Orderings_Oord__class_Oless(_u2510, _u2511, _u2513) )).
% 15.21/15.41 cnf(matrix-1269, plain, ( ~class_Orderings_Oorder(_u2514) | ~c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2516) | ~c_Orderings_Oord__class_Oless__eq(_u2514, _u2517, _u2515) | c_Orderings_Oord__class_Oless(_u2514, _u2517, _u2516) )).
% 15.21/15.41 cnf(matrix-1270, plain, ( ~class_Orderings_Opreorder(_u2518) | ~c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2520) | ~c_Orderings_Oord__class_Oless__eq(_u2518, _u2520, _u2521) | c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2521) )).
% 15.21/15.41 cnf(matrix-1271, plain, ( ~class_Orderings_Oorder(_u2522) | ~c_Orderings_Oord__class_Oless__eq(_u2522, _u2523, _u2524) | ( _u2524 = _u2523) | c_Orderings_Oord__class_Oless(_u2522, _u2523, _u2524) )).
% 15.21/15.41 cnf(matrix-1272, plain, ( ~class_Orderings_Oorder(_u2525) | ~c_Orderings_Oord__class_Oless__eq(_u2525, _u2526, _u2527) | ( _u2526 = _u2527) | c_Orderings_Oord__class_Oless(_u2525, _u2526, _u2527) )).
% 15.21/15.41 cnf(matrix-1273, plain, ( ~class_Orderings_Oorder(_u2528) | ~c_Orderings_Oord__class_Oless__eq(_u2528, _u2529, _u2530) | c_Orderings_Oord__class_Oless(_u2528, _u2529, _u2530) | ( _u2529 = _u2530) )).
% 15.21/15.41 cnf(matrix-1274, plain, ( ~class_Orderings_Olinorder(_u2531) | ~c_Orderings_Oord__class_Oless__eq(_u2531, _u2532, _u2533) | c_Orderings_Oord__class_Oless(_u2531, _u2532, _u2533) | ( _u2532 = _u2533) )).
% 15.21/15.41 cnf(matrix-1275, plain, ( ~class_Orderings_Olinorder(_u2531) | ~c_Orderings_Oord__class_Oless__eq(_u2531, _u2532, _u2533) | ( _u2532 != _u2533) | ~c_Orderings_Oord__class_Oless(_u2531, _u2532, _u2533) )).
% 15.21/15.41 cnf(matrix-1276, plain, ( ~class_Orderings_Opreorder(_u2534) | ~c_Orderings_Oord__class_Oless(_u2534, _u2535, _u2536) | c_Orderings_Oord__class_Oless__eq(_u2534, _u2535, _u2536) )).
% 15.21/15.41 cnf(matrix-1277, plain, ( ~class_Orderings_Olinorder(_u2537) | ~c_Orderings_Oord__class_Oless__eq(_u2537, _u2538, _u2539) | ~c_Orderings_Oord__class_Oless(_u2537, _u2539, _u2538) )).
% 15.21/15.41 cnf(matrix-1278, plain, ( ~class_Orderings_Oorder(_u2540) | ( _u2541 = _u2542) | ~c_Orderings_Oord__class_Oless__eq(_u2540, _u2542, _u2541) | c_Orderings_Oord__class_Oless(_u2540, _u2542, _u2541) )).
% 15.21/15.41 cnf(matrix-1279, plain, ( ~class_Orderings_Oorder(_u2543) | ( _u2544 = _u2545) | ~c_Orderings_Oord__class_Oless__eq(_u2543, _u2544, _u2545) | c_Orderings_Oord__class_Oless(_u2543, _u2544, _u2545) )).
% 15.21/15.41 cnf(matrix-1280, plain, ( ~class_Orderings_Olinorder(_u2546) | c_Orderings_Oord__class_Oless(_u2546, _u2547, _u2548) | ~c_Orderings_Oord__class_Oless__eq(_u2546, _u2547, _u2548) | ( _u2547 = _u2548) )).
% 15.21/15.41 cnf(matrix-1281, plain, ( ~class_Orderings_Olinorder(_u2546) | c_Orderings_Oord__class_Oless(_u2546, _u2547, _u2548) | ( _u2547 != _u2548) | c_Orderings_Oord__class_Oless__eq(_u2546, _u2547, _u2548) )).
% 15.21/15.41 cnf(matrix-1282, plain, ( ~class_Orderings_Olinorder(_u2549) | c_Orderings_Oord__class_Oless__eq(_u2549, _u2550, _u2551) | c_Orderings_Oord__class_Oless(_u2549, _u2551, _u2550) )).
% 15.21/15.41 cnf(matrix-1283, plain, ( ~class_Orderings_Olinorder(_u2552) | c_Orderings_Oord__class_Oless(_u2552, _u2553, _u2554) | c_Orderings_Oord__class_Oless__eq(_u2552, _u2554, _u2553) )).
% 15.21/15.41 cnf(matrix-1284, plain, ( ~class_Orderings_Oorder(_u2555) | ~c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | c_Orderings_Oord__class_Oless(_u2555, _u2556, _u2557) | ( _u2556 = _u2557) )).
% 15.21/15.41 cnf(matrix-1285, plain, ( ~class_Orderings_Oorder(_u2555) | c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | ~c_Orderings_Oord__class_Oless(_u2555, _u2556, _u2557) )).
% 15.21/15.41 cnf(matrix-1286, plain, ( ~class_Orderings_Oorder(_u2555) | c_Orderings_Oord__class_Oless__eq(_u2555, _u2556, _u2557) | ( _u2556 != _u2557) )).
% 15.21/15.41 cnf(matrix-1287, plain, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) | c_Orderings_Oord__class_Oless__eq(_u2558, _u2559, _u2560) )).
% 15.21/15.41 cnf(matrix-1288, plain, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) | ~c_Orderings_Oord__class_Oless__eq(_u2558, _u2560, _u2559) )).
% 15.21/15.41 cnf(matrix-1289, plain, ( ~class_Orderings_Opreorder(_u2558) | ~c_Orderings_Oord__class_Oless__eq(_u2558, _u2559, _u2560) | c_Orderings_Oord__class_Oless__eq(_u2558, _u2560, _u2559) | c_Orderings_Oord__class_Oless(_u2558, _u2559, _u2560) )).
% 15.21/15.41 cnf(matrix-1290, plain, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) | c_Orderings_Oord__class_Oless__eq(_u2561, _u2562, _u2563) )).
% 15.21/15.41 cnf(matrix-1291, plain, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) | ( _u2562 != _u2563) )).
% 15.21/15.41 cnf(matrix-1292, plain, ( ~class_Orderings_Oorder(_u2561) | ~c_Orderings_Oord__class_Oless__eq(_u2561, _u2562, _u2563) | ( _u2562 = _u2563) | c_Orderings_Oord__class_Oless(_u2561, _u2562, _u2563) )).
% 15.21/15.41 cnf(matrix-1293, plain, ( ~class_Orderings_Olinorder(_u2564) | c_Orderings_Oord__class_Oless__eq(_u2564, _u2565, _u2566) | c_Orderings_Oord__class_Oless(_u2564, _u2566, _u2565) )).
% 15.21/15.41 cnf(matrix-1294, plain, ( ~class_Orderings_Olinorder(_u2567) | c_Orderings_Oord__class_Oless__eq(_u2567, _u2568, _u2569) | c_Orderings_Oord__class_Oless(_u2567, _u2569, _u2568) )).
% 15.21/15.41 cnf(matrix-1295, plain, ( ~class_Orderings_Olinorder(_u2567) | ~c_Orderings_Oord__class_Oless(_u2567, _u2569, _u2568) | ~c_Orderings_Oord__class_Oless__eq(_u2567, _u2568, _u2569) )).
% 15.21/15.41 cnf(matrix-1296, plain, ( ~class_Orderings_Olinorder(_u2570) | c_Orderings_Oord__class_Oless(_u2570, _u2571, _u2572) | c_Orderings_Oord__class_Oless__eq(_u2570, _u2572, _u2571) )).
% 15.21/15.41 cnf(matrix-1297, plain, ( ~class_Orderings_Olinorder(_u2570) | ~c_Orderings_Oord__class_Oless__eq(_u2570, _u2572, _u2571) | ~c_Orderings_Oord__class_Oless(_u2570, _u2571, _u2572) )).
% 15.21/15.41 cnf(matrix-1298, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2573) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2573, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2573), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.21/15.41 cnf(matrix-1299, plain, ( ~class_Power_Opower(_u2574) | ( c_Power_Opower__class_Opower(_u2574) = c_Power_Opower_Opower(_u2574, c_Groups_Oone__class_Oone(_u2574), c_Groups_Otimes__class_Otimes(_u2574))) )).
% 15.21/15.41 cnf(matrix-1300, plain, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2577, _u2578) )).
% 15.21/15.41 cnf(matrix-1301, plain, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2578, _u2577) )).
% 15.21/15.41 cnf(matrix-1302, plain, ( ~class_Orderings_Oord(_u2575) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2577, _u2578) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2576, _u2575), _u2578, _u2577) | c_Orderings_Oord__class_Oless(tc_fun(_u2576, _u2575), _u2577, _u2578) )).
% 15.21/15.41 cnf(matrix-1303, plain, ( ( c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1304, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatceiling(_u2579)) )).
% 15.21/15.41 cnf(matrix-1305, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2580, _u2581) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2580), c_RComplete_Onatceiling(_u2581)) )).
% 15.21/15.41 cnf(matrix-1306, plain, ( ( c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1307, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2582, _u2583, _u2584), _u2585), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2583) )).
% 15.21/15.41 cnf(matrix-1308, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2586, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u2586) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1309, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2588), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2588, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.21/15.41 cnf(matrix-1310, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2589, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2589), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.21/15.41 cnf(matrix-1311, plain, ( ~class_RealVector_Oreal__algebra__1(_u2592) | ~class_RealVector_Oreal__normed__vector(_u2592) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem26(_u2592)) )).
% 15.24/15.41 cnf(matrix-1312, plain, ( ~class_RealVector_Oreal__algebra__1(_u2592) | ~class_RealVector_Oreal__normed__vector(_u2592) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2592, c_RealVector_Oof__real(_u2592, _u2590)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2590)), skolem26(_u2592))) )).
% 15.24/15.41 cnf(matrix-1313, plain, ( ~class_RealVector_Oreal__normed__vector(_u2595) | ~class_Orderings_Oord(_u2596) | ~c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, _u2594) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2594)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2597)))) | c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, skolem27(_u2598, _u2597, _u2596, _u2595)) )).
% 15.24/15.41 cnf(matrix-1314, plain, ( ~class_RealVector_Oreal__normed__vector(_u2595) | ~class_Orderings_Oord(_u2596) | ~c_Orderings_Oord__class_Oless__eq(_u2596, _u2597, _u2594) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2594)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2595, hAPP(_u2598, _u2597)))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2595, c_Groups_Ominus__class_Ominus(_u2595, hAPP(_u2598, _u2597), hAPP(_u2598, skolem27(_u2598, _u2597, _u2596, _u2595)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1315, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2601) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem28(_u2602, _u2601)) )).
% 15.24/15.41 cnf(matrix-1316, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2601) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2601, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2601), _u2599), _u2602)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2601, _u2599)), skolem28(_u2602, _u2601))) )).
% 15.24/15.41 cnf(matrix-1317, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2605) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem29(_u2606, _u2605)) )).
% 15.24/15.41 cnf(matrix-1318, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2605) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2605, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2605), _u2606), _u2603)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2605, _u2603)), skolem29(_u2606, _u2605))) )).
% 15.24/15.41 cnf(matrix-1319, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2610) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem30(_u2610)) )).
% 15.24/15.41 cnf(matrix-1320, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2610) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2610, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2610), _u2608), _u2607)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2610, _u2608)), c_RealVector_Onorm__class_Onorm(_u2610, _u2607))), skolem30(_u2610))) )).
% 15.24/15.41 cnf(matrix-1321, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem31) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.24/15.41 cnf(matrix-1322, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, skolem31), _u2611) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2611))) )).
% 15.24/15.41 cnf(matrix-1323, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2613) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2613, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2613), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.24/15.41 cnf(matrix-1324, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2616, _u2618) | ( c_Nat__Transfer_Otsub(_u2618, _u2616) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2618, _u2616)) )).
% 15.24/15.41 cnf(matrix-1325, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2617, _u2619) | ( c_Nat__Transfer_Otsub(_u2619, _u2617) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.24/15.41 cnf(matrix-1326, plain, ( ( c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.24/15.41 cnf(matrix-1327, plain, ( ( c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.24/15.41 cnf(matrix-1328, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2620, _u2621) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u2620), c_RComplete_Onatfloor(_u2621)) )).
% 15.24/15.41 cnf(matrix-1329, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatfloor(_u2622)) )).
% 15.24/15.41 cnf(matrix-1330, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2623, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u2623) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.24/15.41 cnf(matrix-1331, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2624) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2625) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_u2624, _u2625)) )).
% 15.24/15.41 cnf(matrix-1332, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2627)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2627) )).
% 15.24/15.41 cnf(matrix-1333, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2628) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2628)) )).
% 15.24/15.41 cnf(matrix-1334, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2629, _u2630) | ( c_Nat__Transfer_Otsub(_u2630, _u2629) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2630, _u2629)) )).
% 15.24/15.41 cnf(matrix-1335, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2631) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2632) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2631)), c_RComplete_Onatfloor(_u2632)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2631), _u2632))) )).
% 15.24/15.41 cnf(matrix-1336, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2633, _u2634) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2633, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2634, _u2635)) )).
% 15.24/15.41 cnf(matrix-1337, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, _u2637) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, _u2637)) )).
% 15.24/15.41 cnf(matrix-1338, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2639, _u2640) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2639, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2641, _u2640)) )).
% 15.24/15.41 cnf(matrix-1339, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, _u2643) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2643, _u2644)) )).
% 15.24/15.41 cnf(matrix-1340, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2645, _u2646) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2645, _u2646) )).
% 15.24/15.41 cnf(matrix-1341, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2647), _u2648) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2648, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2647), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatceiling(_u2648) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2647, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 15.24/15.41 cnf(matrix-1342, plain, ( ~class_Rings_Olinordered__idom(_u2649) | ~c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | c_Polynomial_Opos__poly(_u2649, _u2651) | ( _u2651 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2649))) )).
% 15.24/15.41 cnf(matrix-1343, plain, ( ~class_Rings_Olinordered__idom(_u2649) | ~c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | c_Polynomial_Opos__poly(_u2649, _u2651) | c_Orderings_Oord__class_Oless(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) )).
% 15.24/15.41 cnf(matrix-1344, plain, ( ~class_Rings_Olinordered__idom(_u2649) | c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | ~c_Polynomial_Opos__poly(_u2649, _u2651) )).
% 15.24/15.41 cnf(matrix-1345, plain, ( ~class_Rings_Olinordered__idom(_u2649) | c_Polynomial_Opos__poly(_u2649, c_Polynomial_OpCons(_u2649, _u2650, _u2651)) | ( _u2651 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2649))) | ~c_Orderings_Oord__class_Oless(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) )).
% 15.24/15.41 cnf(matrix-1346, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2652)) )).
% 15.24/15.41 cnf(matrix-1347, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2653, _u2654) | ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u2654, _u2653)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2654), c_RealDef_Oreal(tc_Nat_Onat, _u2653))) )).
% 15.24/15.41 cnf(matrix-1348, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2657), c_RealDef_Oreal(tc_Nat_Onat, _u2659)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2657, _u2659) )).
% 15.24/15.41 cnf(matrix-1349, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2658, _u2660) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2658), c_RealDef_Oreal(tc_Nat_Onat, _u2660)) )).
% 15.24/15.41 cnf(matrix-1350, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2661), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1351, plain, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2662)) = c_RealDef_Oreal(tc_Nat_Onat, _u2662)) )).
% 15.24/15.41 cnf(matrix-1352, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1353, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2663)), _u2664) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2663), _u2664))) )).
% 15.24/15.41 cnf(matrix-1354, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2665), _u2666)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2665)), _u2666)) )).
% 15.24/15.41 cnf(matrix-1355, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2667, _u2668)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2667), c_RealDef_Oreal(tc_Nat_Onat, _u2668))) )).
% 15.24/15.41 cnf(matrix-1356, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2671) != c_RealDef_Oreal(tc_Nat_Onat, _u2673)) | ( _u2671 = _u2673) )).
% 15.24/15.41 cnf(matrix-1357, plain, ( ( _u2672 != _u2674) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2672) = c_RealDef_Oreal(tc_Nat_Onat, _u2674)) )).
% 15.24/15.41 cnf(matrix-1358, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2676) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.24/15.41 cnf(matrix-1359, plain, ( ( _u2677 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2677) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1360, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1361, plain, ( ~class_Rings_Olinordered__idom(_u2678) | ~c_Polynomial_Opos__poly(_u2678, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2678))) )).
% 15.24/15.41 cnf(matrix-1362, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2679), _u2680)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2679)), c_RealDef_Oreal(tc_Nat_Onat, _u2680))) )).
% 15.24/15.41 cnf(matrix-1363, plain, ( ~class_Rings_Olinordered__idom(_u2681) | ~c_Polynomial_Opos__poly(_u2681, _u2682) | ~c_Polynomial_Opos__poly(_u2681, _u2683) | c_Polynomial_Opos__poly(_u2681, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2681)), _u2682), _u2683)) )).
% 15.24/15.41 cnf(matrix-1364, plain, ( ~class_Rings_Olinordered__idom(_u2684) | ~c_Polynomial_Opos__poly(_u2684, _u2685) | ~c_Polynomial_Opos__poly(_u2684, _u2686) | c_Polynomial_Opos__poly(_u2684, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2684), _u2685, _u2686)) )).
% 15.24/15.41 cnf(matrix-1365, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2688), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2688 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.24/15.41 cnf(matrix-1366, plain, ( ( _u2689 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2689), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1367, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2690, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u2690))) )).
% 15.24/15.41 cnf(matrix-1368, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2693), c_RealDef_Oreal(tc_Nat_Onat, _u2695)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2693, _u2695) )).
% 15.24/15.41 cnf(matrix-1369, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2694, _u2696) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2694), c_RealDef_Oreal(tc_Nat_Onat, _u2696)) )).
% 15.24/15.41 cnf(matrix-1370, plain, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u2697)) = _u2697) )).
% 15.24/15.41 cnf(matrix-1371, plain, ( ~class_Rings_Olinordered__idom(_u2698) | ~c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ( _u2699 = _u2700) | c_Polynomial_Opos__poly(_u2698, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2698), _u2700, _u2699)) )).
% 15.24/15.41 cnf(matrix-1372, plain, ( ~class_Rings_Olinordered__idom(_u2698) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ( _u2699 != _u2700) )).
% 15.24/15.41 cnf(matrix-1373, plain, ( ~class_Rings_Olinordered__idom(_u2698) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2698), _u2699, _u2700) | ~c_Polynomial_Opos__poly(_u2698, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2698), _u2700, _u2699)) )).
% 15.24/15.41 cnf(matrix-1374, plain, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u2701)) = _u2701) )).
% 15.24/15.41 cnf(matrix-1375, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2702) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2702)), _u2702) )).
% 15.24/15.41 cnf(matrix-1376, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2703), _u2704) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2703, c_RComplete_Onatfloor(_u2704)) )).
% 15.24/15.41 cnf(matrix-1377, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2705, c_RealDef_Oreal(tc_Nat_Onat, _u2706)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2705), _u2706) )).
% 15.24/15.41 cnf(matrix-1378, plain, ( ( _u2707 != c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2707))) | ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2707), _u2708)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_RComplete_Onatfloor(_u2707)), _u2708)) )).
% 15.24/15.41 cnf(matrix-1379, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2710)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2710) )).
% 15.24/15.41 cnf(matrix-1380, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2711) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2711)) )).
% 15.24/15.41 cnf(matrix-1381, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2714, _u2716) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2714), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u2716)) )).
% 15.24/15.41 cnf(matrix-1382, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2715), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u2717)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2715, _u2717) )).
% 15.24/15.41 cnf(matrix-1383, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2720, _u2722) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2720), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2722), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.24/15.41 cnf(matrix-1384, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2721), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2723), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2721, _u2723) )).
% 15.24/15.41 cnf(matrix-1385, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2724) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2725, c_RComplete_Onatfloor(_u2724)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2725), _u2724) )).
% 15.24/15.41 cnf(matrix-1386, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2724) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2725), _u2724) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2725, c_RComplete_Onatfloor(_u2724)) )).
% 15.24/15.41 cnf(matrix-1387, plain, ( ~class_Rings_Olinordered__idom(_u2726) | ( _u2727 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2726))) | c_Polynomial_Opos__poly(_u2726, _u2727) | c_Polynomial_Opos__poly(_u2726, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2726), _u2727)) )).
% 15.24/15.41 cnf(matrix-1388, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2728) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2728), _u2729) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2728, c_RealDef_Oreal(tc_Nat_Onat, _u2729)) )).
% 15.24/15.41 cnf(matrix-1389, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2728) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2728, c_RealDef_Oreal(tc_Nat_Onat, _u2729)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2728), _u2729) )).
% 15.24/15.41 cnf(matrix-1390, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2730, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2730)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.24/15.41 cnf(matrix-1391, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2731), _u2732) | ( c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2732, c_RealDef_Oreal(tc_Nat_Onat, _u2731))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2732), _u2731)) )).
% 15.24/15.41 cnf(matrix-1392, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2733, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2733))) )).
% 15.24/15.41 cnf(matrix-1393, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2734), _u2735) | ( c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u2735, c_RealDef_Oreal(tc_Nat_Onat, _u2734))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2735), _u2734)) )).
% 15.24/15.41 cnf(matrix-1394, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2736) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2736, c_RealDef_Oreal(tc_Nat_Onat, _u2737)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_RComplete_Onatfloor(_u2736), _u2737) )).
% 15.24/15.41 cnf(matrix-1395, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2738) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2738, c_RealDef_Oreal(tc_Nat_Onat, _u2739))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2738), _u2739)) )).
% 15.24/15.41 cnf(matrix-1396, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u2740), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2741) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2740, c_RealDef_Oreal(tc_Nat_Onat, _u2741)) )).
% 15.24/15.41 cnf(matrix-1397, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2742), _u2743) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2743, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2742), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatfloor(_u2743) = _u2742) )).
% 15.24/15.41 cnf(matrix-1398, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2744) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2744, c_RealDef_Oreal(tc_Nat_Onat, _u2745))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u2744), _u2745)) )).
% 15.24/15.41 cnf(matrix-1399, plain, ( ~class_Rings_Olinordered__idom(_u2746) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2746), _u2747, _u2748) | c_Polynomial_Opos__poly(_u2746, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2746), _u2748, _u2747)) )).
% 15.24/15.41 cnf(matrix-1400, plain, ( ~class_Rings_Olinordered__idom(_u2746) | ~c_Polynomial_Opos__poly(_u2746, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2746), _u2748, _u2747)) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2746), _u2747, _u2748) )).
% 15.24/15.41 cnf(matrix-1401, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2749) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2750)), _u2749), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2749, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), _u2750)) )).
% 15.24/15.41 cnf(matrix-1402, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2752) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, skolem32(_u2752), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u2752) )).
% 15.24/15.41 cnf(matrix-1403, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2752) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2752, c_RealDef_Oreal(tc_Nat_Onat, skolem32(_u2752))) )).
% 15.24/15.41 cnf(matrix-1404, plain, ( ~class_Groups_Oab__group__add(_u2753) | ( c_Groups_Ominus__class_Ominus(_u2753, c_Groups_Ouminus__class_Ouminus(_u2753, _u2754), c_Groups_Ouminus__class_Ouminus(_u2753, _u2755)) = c_Groups_Ouminus__class_Ouminus(_u2753, c_Groups_Ominus__class_Ominus(_u2753, _u2754, _u2755))) )).
% 15.24/15.41 cnf(matrix-1405, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2758) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem33(_u2760, _u2759, _u2758)) )).
% 15.24/15.41 cnf(matrix-1406, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2758) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u2756, _u2759))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u2756, _u2759)), skolem33(_u2760, _u2759, _u2758)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2760), _u2756), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2760), _u2759))), _u2758) )).
% 15.24/15.41 cnf(matrix-1407, plain, ( ~class_Orderings_Oorder(_u2765) | ~c_SEQ_Odecseq(_u2765, _u2766) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2762, _u2761) | c_Orderings_Oord__class_Oless__eq(_u2765, hAPP(_u2766, _u2761), hAPP(_u2766, _u2762)) )).
% 15.24/15.41 cnf(matrix-1408, plain, ( ~class_Orderings_Oorder(_u2765) | c_SEQ_Odecseq(_u2765, _u2766) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem34(_u2766, _u2765), skolem35(_u2766, _u2765)) )).
% 15.24/15.41 cnf(matrix-1409, plain, ( ~class_Orderings_Oorder(_u2765) | c_SEQ_Odecseq(_u2765, _u2766) | ~c_Orderings_Oord__class_Oless__eq(_u2765, hAPP(_u2766, skolem35(_u2766, _u2765)), hAPP(_u2766, skolem34(_u2766, _u2765))) )).
% 15.24/15.41 cnf(matrix-1410, plain, ( ~class_Lattices_Oboolean__algebra(_u2767) | ~c_Orderings_Oord__class_Oless__eq(_u2767, c_Groups_Ouminus__class_Ouminus(_u2767, _u2768), c_Groups_Ouminus__class_Ouminus(_u2767, _u2769)) | c_Orderings_Oord__class_Oless__eq(_u2767, _u2769, _u2768) )).
% 15.24/15.41 cnf(matrix-1411, plain, ( ~class_Lattices_Oboolean__algebra(_u2767) | ~c_Orderings_Oord__class_Oless__eq(_u2767, _u2769, _u2768) | c_Orderings_Oord__class_Oless__eq(_u2767, c_Groups_Ouminus__class_Ouminus(_u2767, _u2768), c_Groups_Ouminus__class_Ouminus(_u2767, _u2769)) )).
% 15.24/15.41 cnf(matrix-1412, plain, ( ~class_Lattices_Oboolean__algebra(_u2770) | ~c_Orderings_Oord__class_Oless__eq(_u2770, _u2771, _u2772) | c_Orderings_Oord__class_Oless__eq(_u2770, c_Groups_Ouminus__class_Ouminus(_u2770, _u2772), c_Groups_Ouminus__class_Ouminus(_u2770, _u2771)) )).
% 15.24/15.41 cnf(matrix-1413, plain, ( ~class_Groups_Ominus(_u2773) | ( hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2774, _u2773), _u2775, _u2776), _u2777) = c_Groups_Ominus__class_Ominus(_u2773, hAPP(_u2775, _u2777), hAPP(_u2776, _u2777))) )).
% 15.24/15.41 cnf(matrix-1414, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2778) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2779) = _u2779) )).
% 15.24/15.41 cnf(matrix-1415, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2780) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2780), _u2781), _u2781) = _u2781) )).
% 15.24/15.41 cnf(matrix-1416, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2782) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), _u2784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2782), _u2783), _u2784)) )).
% 15.24/15.41 cnf(matrix-1417, plain, ( ~class_Lattices_Oboolean__algebra(_u2785) | ( c_Groups_Ouminus__class_Ouminus(_u2785, c_Groups_Ouminus__class_Ouminus(_u2785, _u2786)) = _u2786) )).
% 15.24/15.41 cnf(matrix-1418, plain, ( ~class_Groups_Ouminus(_u2787) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u2788, _u2787), _u2789), _u2790) = c_Groups_Ouminus__class_Ouminus(_u2787, hAPP(_u2789, _u2790))) )).
% 15.24/15.41 cnf(matrix-1419, plain, ( ~class_Lattices_Oboolean__algebra(_u2791) | ( c_Groups_Ouminus__class_Ouminus(_u2791, _u2792) != c_Groups_Ouminus__class_Ouminus(_u2791, _u2793)) | ( _u2792 = _u2793) )).
% 15.24/15.41 cnf(matrix-1420, plain, ( ~class_Lattices_Oboolean__algebra(_u2791) | ( _u2792 != _u2793) | ( c_Groups_Ouminus__class_Ouminus(_u2791, _u2792) = c_Groups_Ouminus__class_Ouminus(_u2791, _u2793)) )).
% 15.24/15.41 cnf(matrix-1421, plain, ( ~class_RealVector_Oreal__algebra__1(_u2796) | ~class_RealVector_Oreal__normed__vector(_u2796) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2796, c_RealVector_Oof__real(_u2796, _u2794)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2794)), skolem36(_u2796))) )).
% 15.24/15.41 cnf(matrix-1422, plain, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) )).
% 15.24/15.41 cnf(matrix-1423, plain, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2797), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797)), _u2798) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2797))) )).
% 15.24/15.41 cnf(matrix-1424, plain, ( ~class_Rings_Olinordered__idom(_u2797) | ( _u2798 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797))) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2797), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2797)), _u2798) | ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(_u2797), _u2798) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2797), c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2797)))) )).
% 15.24/15.41 cnf(matrix-1425, plain, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Osgn__class_Osgn(_u2799, _u2800), c_Groups_Ozero__class_Ozero(_u2799)) | c_Orderings_Oord__class_Oless(_u2799, _u2800, c_Groups_Ozero__class_Ozero(_u2799)) )).
% 15.24/15.41 cnf(matrix-1426, plain, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, _u2800, c_Groups_Ozero__class_Ozero(_u2799)) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Osgn__class_Osgn(_u2799, _u2800), c_Groups_Ozero__class_Ozero(_u2799)) )).
% 15.24/15.41 cnf(matrix-1427, plain, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), c_Groups_Osgn__class_Osgn(_u2801, _u2802)) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) )).
% 15.24/15.41 cnf(matrix-1428, plain, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), c_Groups_Osgn__class_Osgn(_u2801, _u2802)) )).
% 15.24/15.41 cnf(matrix-1429, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u2803) | ( c_Groups_Osgn__class_Osgn(_u2803, c_Groups_Oone__class_Oone(_u2803)) = c_Groups_Oone__class_Oone(_u2803)) )).
% 15.24/15.41 cnf(matrix-1430, plain, ( ~class_RealVector_Oreal__normed__vector(_u2804) | ( c_Groups_Osgn__class_Osgn(_u2804, c_Groups_Ouminus__class_Ouminus(_u2804, _u2805)) = c_Groups_Ouminus__class_Ouminus(_u2804, c_Groups_Osgn__class_Osgn(_u2804, _u2805))) )).
% 15.24/15.41 cnf(matrix-1431, plain, ( ~class_Rings_Olinordered__idom(_u2806) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), c_Groups_Osgn__class_Osgn(_u2806, _u2807)), c_Groups_Oabs__class_Oabs(_u2806, _u2807)) = _u2807) )).
% 15.24/15.41 cnf(matrix-1432, plain, ( ~class_Rings_Olinordered__idom(_u2808) | ( c_Groups_Oabs__class_Oabs(_u2808, _u2809) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2808), _u2809), c_Groups_Osgn__class_Osgn(_u2808, _u2809))) )).
% 15.24/15.41 cnf(matrix-1433, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u2810) | ( c_Groups_Osgn__class_Osgn(_u2810, c_RealVector_Oof__real(_u2810, _u2811)) = c_RealVector_Oof__real(_u2810, c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2811))) )).
% 15.24/15.41 cnf(matrix-1434, plain, ( ~class_Rings_Olinordered__idom(_u2812) | ( c_Groups_Osgn__class_Osgn(_u2812, c_Groups_Osgn__class_Osgn(_u2812, _u2813)) = c_Groups_Osgn__class_Osgn(_u2812, _u2813)) )).
% 15.24/15.41 cnf(matrix-1435, plain, ( ~class_Groups_Osgn__if(_u2814) | ( c_Groups_Osgn__class_Osgn(_u2814, c_Groups_Ozero__class_Ozero(_u2814)) = c_Groups_Ozero__class_Ozero(_u2814)) )).
% 15.24/15.41 cnf(matrix-1436, plain, ( ~class_RealVector_Oreal__normed__vector(_u2815) | ( c_Groups_Osgn__class_Osgn(_u2815, c_Groups_Ozero__class_Ozero(_u2815)) = c_Groups_Ozero__class_Ozero(_u2815)) )).
% 15.24/15.41 cnf(matrix-1437, plain, ( ~class_RealVector_Oreal__normed__vector(_u2816) | ( c_Groups_Osgn__class_Osgn(_u2816, _u2817) != c_Groups_Ozero__class_Ozero(_u2816)) | ( _u2817 = c_Groups_Ozero__class_Ozero(_u2816)) )).
% 15.24/15.41 cnf(matrix-1438, plain, ( ~class_RealVector_Oreal__normed__vector(_u2816) | ( _u2817 != c_Groups_Ozero__class_Ozero(_u2816)) | ( c_Groups_Osgn__class_Osgn(_u2816, _u2817) = c_Groups_Ozero__class_Ozero(_u2816)) )).
% 15.24/15.41 cnf(matrix-1439, plain, ( ~class_Rings_Olinordered__idom(_u2818) | ( c_Groups_Osgn__class_Osgn(_u2818, _u2819) != c_Groups_Ozero__class_Ozero(_u2818)) | ( _u2819 = c_Groups_Ozero__class_Ozero(_u2818)) )).
% 15.24/15.41 cnf(matrix-1440, plain, ( ~class_Rings_Olinordered__idom(_u2818) | ( _u2819 != c_Groups_Ozero__class_Ozero(_u2818)) | ( c_Groups_Osgn__class_Osgn(_u2818, _u2819) = c_Groups_Ozero__class_Ozero(_u2818)) )).
% 15.24/15.41 cnf(matrix-1441, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u2820) | ( c_Groups_Osgn__class_Osgn(_u2820, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2820), _u2821), _u2822)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2820), c_Groups_Osgn__class_Osgn(_u2820, _u2821)), c_Groups_Osgn__class_Osgn(_u2820, _u2822))) )).
% 15.24/15.41 cnf(matrix-1442, plain, ( ~class_Rings_Olinordered__idom(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2823), _u2824), _u2825)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2823), c_Groups_Osgn__class_Osgn(_u2823, _u2824)), c_Groups_Osgn__class_Osgn(_u2823, _u2825))) )).
% 15.24/15.41 cnf(matrix-1443, plain, ( ~class_Rings_Olinordered__idom(_u2826) | ( c_Groups_Osgn__class_Osgn(_u2826, _u2827) != c_Groups_Oone__class_Oone(_u2826)) | c_Orderings_Oord__class_Oless(_u2826, c_Groups_Ozero__class_Ozero(_u2826), _u2827) )).
% 15.24/15.41 cnf(matrix-1444, plain, ( ~class_Rings_Olinordered__idom(_u2826) | ~c_Orderings_Oord__class_Oless(_u2826, c_Groups_Ozero__class_Ozero(_u2826), _u2827) | ( c_Groups_Osgn__class_Osgn(_u2826, _u2827) = c_Groups_Oone__class_Oone(_u2826)) )).
% 15.24/15.41 cnf(matrix-1445, plain, ( ~class_Rings_Olinordered__idom(_u2828) | ~c_Orderings_Oord__class_Oless(_u2828, c_Groups_Ozero__class_Ozero(_u2828), _u2829) | ( c_Groups_Osgn__class_Osgn(_u2828, _u2829) = c_Groups_Oone__class_Oone(_u2828)) )).
% 15.24/15.41 cnf(matrix-1446, plain, ( ~class_Rings_Olinordered__idom(_u2830) | ( c_Groups_Osgn__class_Osgn(_u2830, _u2831) != c_Groups_Ouminus__class_Ouminus(_u2830, c_Groups_Oone__class_Oone(_u2830))) | c_Orderings_Oord__class_Oless(_u2830, _u2831, c_Groups_Ozero__class_Ozero(_u2830)) )).
% 15.24/15.41 cnf(matrix-1447, plain, ( ~class_Rings_Olinordered__idom(_u2830) | ~c_Orderings_Oord__class_Oless(_u2830, _u2831, c_Groups_Ozero__class_Ozero(_u2830)) | ( c_Groups_Osgn__class_Osgn(_u2830, _u2831) = c_Groups_Ouminus__class_Ouminus(_u2830, c_Groups_Oone__class_Oone(_u2830))) )).
% 15.24/15.41 cnf(matrix-1448, plain, ( ~class_Rings_Olinordered__idom(_u2832) | ~c_Orderings_Oord__class_Oless(_u2832, _u2833, c_Groups_Ozero__class_Ozero(_u2832)) | ( c_Groups_Osgn__class_Osgn(_u2832, _u2833) = c_Groups_Ouminus__class_Ouminus(_u2832, c_Groups_Oone__class_Oone(_u2832))) )).
% 15.24/15.41 cnf(matrix-1449, plain, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 != c_Groups_Ozero__class_Ozero(_u2834)) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Ozero__class_Ozero(_u2834)) )).
% 15.24/15.41 cnf(matrix-1450, plain, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 = c_Groups_Ozero__class_Ozero(_u2834)) | ~c_Orderings_Oord__class_Oless(_u2834, c_Groups_Ozero__class_Ozero(_u2834), _u2835) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Oone__class_Oone(_u2834)) )).
% 15.24/15.41 cnf(matrix-1451, plain, ( ~class_Groups_Osgn__if(_u2834) | ( _u2835 = c_Groups_Ozero__class_Ozero(_u2834)) | c_Orderings_Oord__class_Oless(_u2834, c_Groups_Ozero__class_Ozero(_u2834), _u2835) | ( c_Groups_Osgn__class_Osgn(_u2834, _u2835) = c_Groups_Ouminus__class_Ouminus(_u2834, c_Groups_Oone__class_Oone(_u2834))) )).
% 15.24/15.41 cnf(matrix-1452, plain, ( ~class_RealVector_Oreal__normed__vector(_u2836) | ( _u2837 != c_Groups_Ozero__class_Ozero(_u2836)) | ( c_RealVector_Onorm__class_Onorm(_u2836, c_Groups_Osgn__class_Osgn(_u2836, _u2837)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1453, plain, ( ~class_RealVector_Oreal__normed__vector(_u2836) | ( _u2837 = c_Groups_Ozero__class_Ozero(_u2836)) | ( c_RealVector_Onorm__class_Onorm(_u2836, c_Groups_Osgn__class_Osgn(_u2836, _u2837)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.24/15.41 cnf(matrix-1454, plain, ( ~class_Rings_Oidom(_u2838) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2838), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2838)), c_Polynomial_OpCons(_u2838, c_Groups_Ouminus__class_Ouminus(_u2838, _u2839), c_Polynomial_OpCons(_u2838, c_Groups_Oone__class_Oone(_u2838), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2838))))), c_Polynomial_Oorder(_u2838, _u2839, _u2840)), _u2840) )).
% 15.24/15.41 cnf(matrix-1455, plain, ( ~class_Rings_Ocomm__semiring__0(_u2841) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, c_Polynomial_OpCons(_u2841, _u2842, _u2843), _u2844) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2841), c_Polynomial_Osmult(_u2841, _u2844, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, _u2843, _u2844)), c_Polynomial_OpCons(_u2841, _u2842, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2841, _u2843, _u2844)))) )).
% 15.24/15.41 cnf(matrix-1456, plain, ( ~class_Rings_Ocomm__semiring__1(_u2845) | c_Rings_Odvd__class_Odvd(_u2845, _u2846, c_Groups_Ozero__class_Ozero(_u2845)) )).
% 15.24/15.41 cnf(matrix-1457, plain, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ouminus__class_Ouminus(_u2847, _u2849)) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) )).
% 15.24/15.41 cnf(matrix-1458, plain, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ouminus__class_Ouminus(_u2847, _u2849)) )).
% 15.24/15.41 cnf(matrix-1459, plain, ( ~class_Rings_Ocomm__ring__1(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, c_Groups_Ouminus__class_Ouminus(_u2850, _u2851), _u2852) | c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) )).
% 15.24/15.41 cnf(matrix-1460, plain, ( ~class_Rings_Ocomm__ring__1(_u2850) | ~c_Rings_Odvd__class_Odvd(_u2850, _u2851, _u2852) | c_Rings_Odvd__class_Odvd(_u2850, c_Groups_Ouminus__class_Ouminus(_u2850, _u2851), _u2852) )).
% 15.24/15.41 cnf(matrix-1461, plain, ( ~class_Rings_Ocomm__ring__1(_u2853) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2855) | ~c_Rings_Odvd__class_Odvd(_u2853, _u2854, _u2856) | c_Rings_Odvd__class_Odvd(_u2853, _u2854, c_Groups_Ominus__class_Ominus(_u2853, _u2855, _u2856)) )).
% 15.24/15.41 cnf(matrix-1462, plain, ( ~class_Rings_Ocomm__ring(_u2859) | ~class_Rings_Odvd(_u2859) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, _u2861) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, _u2865, _u2862)) | c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, c_Groups_Ominus__class_Ominus(_u2859, _u2865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), _u2863), _u2861)), _u2862)) )).
% 15.24/15.41 cnf(matrix-1463, plain, ( ~class_Rings_Ocomm__ring(_u2859) | ~class_Rings_Odvd(_u2859) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, _u2861) | c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, _u2866, _u2862)) | ~c_Rings_Odvd__class_Odvd(_u2859, _u2860, c_Groups_Oplus__class_Oplus(_u2859, c_Groups_Ominus__class_Ominus(_u2859, _u2866, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2859), _u2864), _u2861)), _u2862)) )).
% 15.24/15.41 cnf(matrix-1464, plain, ( ~class_Rings_Ocomm__ring(_u2869) | ~class_Rings_Odvd(_u2869) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, _u2871) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, _u2875, _u2872)) | c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, c_Groups_Ominus__class_Ominus(_u2869, _u2875, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2869), _u2873), _u2871)), _u2872)) )).
% 15.24/15.41 cnf(matrix-1465, plain, ( ~class_Rings_Ocomm__ring(_u2869) | ~class_Rings_Odvd(_u2869) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, _u2871) | c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, _u2876, _u2872)) | ~c_Rings_Odvd__class_Odvd(_u2869, _u2870, c_Groups_Oplus__class_Oplus(_u2869, c_Groups_Ominus__class_Ominus(_u2869, _u2876, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2869), _u2874), _u2871)), _u2872)) )).
% 15.24/15.41 cnf(matrix-1466, plain, ( ~class_Fields_Ofield(_u2877) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 != c_Groups_Ozero__class_Ozero(_u2877)) | ( _u2880 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) )).
% 15.24/15.41 cnf(matrix-1467, plain, ( ~class_Fields_Ofield(_u2877) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 = c_Groups_Ozero__class_Ozero(_u2877)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.24/15.41 cnf(matrix-1468, plain, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2878 = c_Groups_Ozero__class_Ozero(_u2877)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.24/15.41 cnf(matrix-1469, plain, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) | ( _u2878 != c_Groups_Ozero__class_Ozero(_u2877)) )).
% 15.24/15.41 cnf(matrix-1470, plain, ( ~class_Fields_Ofield(_u2877) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), c_Polynomial_Osmult(_u2877, _u2878, _u2879), _u2880) | ( _u2880 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2877))) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2877), _u2879, _u2880) )).
% 15.24/15.41 cnf(matrix-1471, plain, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), _u2881))) | c_Rings_Odvd__class_Odvd(_u2885, _u2887, c_Groups_Oplus__class_Oplus(_u2885, skolem37(_u2887, _u2886, _u2885), c_Groups_Ozero__class_Ozero(_u2885))) )).
% 15.24/15.41 cnf(matrix-1472, plain, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), _u2881))) | hBOOL(hAPP(_u2886, skolem37(_u2887, _u2886, _u2885))) )).
% 15.24/15.41 cnf(matrix-1473, plain, ( ~class_Rings_Odvd(_u2885) | ~class_Rings_Osemiring__0(_u2885) | ~c_Rings_Odvd__class_Odvd(_u2885, _u2887, c_Groups_Oplus__class_Oplus(_u2885, _u2883, c_Groups_Ozero__class_Ozero(_u2885))) | ~hBOOL(hAPP(_u2886, _u2883)) | hBOOL(hAPP(_u2886, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2885), _u2887), skolem38(_u2887, _u2886, _u2885)))) )).
% 15.24/15.41 cnf(matrix-1474, plain, ( ~class_Rings_Ocomm__semiring__1(_u2888) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2888), c_Polynomial_Osmult(_u2888, _u2889, _u2890), _u2891) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2888), _u2890, _u2891) )).
% 15.24/15.41 cnf(matrix-1475, plain, ( ~class_Rings_Ocomm__semiring__1(_u2892) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2892), _u2893, _u2894) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2892), _u2893, c_Polynomial_Osmult(_u2892, _u2895, _u2894)) )).
% 15.24/15.41 cnf(matrix-1476, plain, ( ~class_Fields_Ofield(_u2896) | ( _u2897 = c_Groups_Ozero__class_Ozero(_u2896)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, c_Polynomial_Osmult(_u2896, _u2897, _u2899)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, _u2899) )).
% 15.24/15.41 cnf(matrix-1477, plain, ( ~class_Fields_Ofield(_u2896) | ( _u2897 = c_Groups_Ozero__class_Ozero(_u2896)) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, _u2899) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2896), _u2898, c_Polynomial_Osmult(_u2896, _u2897, _u2899)) )).
% 15.24/15.41 cnf(matrix-1478, plain, ( ~class_Fields_Ofield(_u2900) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2900), _u2901, _u2902) | ( _u2903 = c_Groups_Ozero__class_Ozero(_u2900)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2900), c_Polynomial_Osmult(_u2900, _u2903, _u2901), _u2902) )).
% 15.24/15.41 cnf(matrix-1479, plain, ( ~class_Fields_Ofield(_u2904) | ~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2904), _u2905, c_Polynomial_Osmult(_u2904, _u2906, _u2907)) | ( _u2906 = c_Groups_Ozero__class_Ozero(_u2904)) | c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(_u2904), _u2905, _u2907) )).
% 15.24/15.41 cnf(matrix-1480, plain, ( ~class_Rings_Ocomm__semiring__1(_u2908) | c_Rings_Odvd__class_Odvd(_u2908, _u2909, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2908), _u2909), _u2910)) )).
% 15.24/15.41 cnf(matrix-1481, plain, ( ~class_Rings_Ocomm__semiring__1(_u2911) | c_Rings_Odvd__class_Odvd(_u2911, _u2912, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2911), _u2913), _u2912)) )).
% 15.24/15.41 cnf(matrix-1482, plain, ( ~class_Rings_Ocomm__semiring__1(_u2914) | ~c_Rings_Odvd__class_Odvd(_u2914, _u2915, _u2916) | c_Rings_Odvd__class_Odvd(_u2914, _u2915, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2914), _u2916), _u2917)) )).
% 15.24/15.41 cnf(matrix-1483, plain, ( ~class_Rings_Ocomm__semiring__1(_u2918) | ~c_Rings_Odvd__class_Odvd(_u2918, _u2919, _u2920) | c_Rings_Odvd__class_Odvd(_u2918, _u2919, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2918), _u2921), _u2920)) )).
% 15.24/15.41 cnf(matrix-1484, plain, ( ~class_Rings_Ocomm__semiring__1(_u2922) | ~c_Rings_Odvd__class_Odvd(_u2922, _u2923, _u2924) | ~c_Rings_Odvd__class_Odvd(_u2922, _u2925, _u2926) | c_Rings_Odvd__class_Odvd(_u2922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2922), _u2923), _u2925), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2922), _u2924), _u2926)) )).
% 15.24/15.41 cnf(matrix-1485, plain, ( ~class_Rings_Odvd(_u2927) | ( _u2928 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2927), _u2929), _u2930)) | c_Rings_Odvd__class_Odvd(_u2927, _u2929, _u2928) )).
% 15.24/15.41 cnf(matrix-1486, plain, ( ~class_Rings_Ocomm__semiring__1(_u2931) | ~c_Rings_Odvd__class_Odvd(_u2931, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2931), _u2932), _u2933), _u2934) | c_Rings_Odvd__class_Odvd(_u2931, _u2932, _u2934) )).
% 15.24/15.41 cnf(matrix-1487, plain, ( ~class_Rings_Ocomm__semiring__1(_u2935) | ~c_Rings_Odvd__class_Odvd(_u2935, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2935), _u2936), _u2937), _u2938) | c_Rings_Odvd__class_Odvd(_u2935, _u2937, _u2938) )).
% 15.24/15.41 cnf(matrix-1488, plain, ( ~class_Rings_Oidom(_u2939) | ~c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ( _u2940 = c_Groups_Ozero__class_Ozero(_u2939)) | c_Rings_Odvd__class_Odvd(_u2939, _u2941, _u2942) )).
% 15.24/15.41 cnf(matrix-1489, plain, ( ~class_Rings_Oidom(_u2939) | c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ( _u2940 != c_Groups_Ozero__class_Ozero(_u2939)) )).
% 15.24/15.41 cnf(matrix-1490, plain, ( ~class_Rings_Oidom(_u2939) | c_Rings_Odvd__class_Odvd(_u2939, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2941), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2939), _u2940), _u2942)) | ~c_Rings_Odvd__class_Odvd(_u2939, _u2941, _u2942) )).
% 15.24/15.41 cnf(matrix-1491, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2943) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u2943)) )).
% 15.24/15.41 cnf(matrix-1492, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1493, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1494, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1495, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1496, plain, ( ~class_Lattices_Oboolean__algebra(_u2944) | class_Lattices_Oboolean__algebra(tc_fun(_u2945, _u2944)) )).
% 15.24/15.41 cnf(matrix-1497, plain, ( ~class_Orderings_Opreorder(_u2946) | class_Orderings_Opreorder(tc_fun(_u2947, _u2946)) )).
% 15.24/15.41 cnf(matrix-1498, plain, ( ~class_Orderings_Oorder(_u2948) | class_Orderings_Oorder(tc_fun(_u2949, _u2948)) )).
% 15.24/15.41 cnf(matrix-1499, plain, ( ~class_Orderings_Oord(_u2950) | class_Orderings_Oord(tc_fun(_u2951, _u2950)) )).
% 15.24/15.41 cnf(matrix-1500, plain, ( ~class_Groups_Ouminus(_u2952) | class_Groups_Ouminus(tc_fun(_u2953, _u2952)) )).
% 15.24/15.41 cnf(matrix-1501, plain, ( ~class_Groups_Ominus(_u2954) | class_Groups_Ominus(tc_fun(_u2955, _u2954)) )).
% 15.24/15.41 cnf(matrix-1502, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1503, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1504, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1505, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1506, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1507, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1508, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1509, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1510, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1511, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1512, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1513, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1514, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1515, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1516, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1517, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1518, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1519, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1520, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1521, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1522, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1523, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1524, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1525, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1526, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1527, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1528, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1529, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1530, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1531, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1532, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1533, plain, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1534, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1535, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1536, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1537, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1538, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1539, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1540, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1541, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1542, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1543, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1544, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1545, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1546, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1547, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1548, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1549, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1550, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1551, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1552, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1553, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1554, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1555, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1556, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1557, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1558, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1559, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1560, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1561, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 15.24/15.41 cnf(matrix-1562, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1563, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1564, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1565, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1566, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1567, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1568, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1569, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1570, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1571, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1572, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1573, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1574, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1575, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1576, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1577, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1578, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1579, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1580, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1581, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1582, plain, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1583, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1584, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1585, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1586, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1587, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1588, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1589, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1590, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1591, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1592, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1593, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1594, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1595, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1596, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1597, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1598, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 15.24/15.41 cnf(matrix-1599, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1600, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1601, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1602, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1603, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1604, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 15.24/15.41 cnf(matrix-1605, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1606, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1607, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1608, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1609, plain, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1610, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1611, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1612, plain, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1613, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1614, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1615, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1616, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1617, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1618, plain, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1619, plain, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1620, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1621, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1622, plain, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1623, plain, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1624, plain, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1625, plain, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1626, plain, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1627, plain, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1628, plain, ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1629, plain, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1630, plain, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1631, plain, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1632, plain, ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1633, plain, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1634, plain, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1635, plain, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1636, plain, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1637, plain, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1638, plain, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1639, plain, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1640, plain, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1641, plain, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1642, plain, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1643, plain, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1644, plain, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1645, plain, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1646, plain, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1647, plain, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1648, plain, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1649, plain, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1650, plain, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1651, plain, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1652, plain, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1653, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1654, plain, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1655, plain, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1656, plain, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1657, plain, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1658, plain, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1659, plain, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1660, plain, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1661, plain, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1662, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1663, plain, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1664, plain, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1665, plain, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1666, plain, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1667, plain, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1668, plain, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1669, plain, ( class_Groups_Ominus(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1670, plain, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1671, plain, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1672, plain, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1673, plain, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1674, plain, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1675, plain, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1676, plain, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 15.24/15.41 cnf(matrix-1677, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1678, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1679, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1680, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1681, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1682, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1683, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1684, plain, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1685, plain, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1686, plain, ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1687, plain, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1688, plain, ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1689, plain, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1690, plain, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1691, plain, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1692, plain, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1693, plain, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1694, plain, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1695, plain, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1696, plain, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1697, plain, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1698, plain, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1699, plain, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1700, plain, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1701, plain, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1702, plain, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1703, plain, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1704, plain, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1705, plain, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1706, plain, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1707, plain, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1708, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1709, plain, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1710, plain, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1711, plain, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1712, plain, ( class_Groups_Ominus(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1713, plain, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1714, plain, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1715, plain, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1716, plain, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1717, plain, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1718, plain, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1719, plain, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 15.24/15.41 cnf(matrix-1720, plain, ( ~class_Rings_Oidom(_u2956) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u2956)) )).
% 15.24/15.41 cnf(matrix-1721, plain, ( ~class_Rings_Olinordered__idom(_u2957) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2957)) )).
% 15.24/15.41 cnf(matrix-1722, plain, ( ~class_Rings_Olinordered__idom(_u2958) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u2958)) )).
% 15.24/15.41 cnf(matrix-1723, plain, ( ~class_Rings_Olinordered__idom(_u2959) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u2959)) )).
% 15.24/15.41 cnf(matrix-1724, plain, ( ~class_Rings_Olinordered__idom(_u2960) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u2960)) )).
% 15.24/15.41 cnf(matrix-1725, plain, ( ~class_Rings_Olinordered__idom(_u2961) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u2961)) )).
% 15.24/15.41 cnf(matrix-1726, plain, ( ~class_Rings_Olinordered__idom(_u2962) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u2962)) )).
% 15.24/15.41 cnf(matrix-1727, plain, ( ~class_Rings_Olinordered__idom(_u2963) | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(_u2963)) )).
% 15.24/15.41 cnf(matrix-1728, plain, ( ~class_Rings_Olinordered__idom(_u2964) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u2964)) )).
% 15.24/15.41 cnf(matrix-1729, plain, ( ~class_Rings_Olinordered__idom(_u2965) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u2965)) )).
% 15.24/15.41 cnf(matrix-1730, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2966) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2966)) )).
% 15.24/15.41 cnf(matrix-1731, plain, ( ~class_Rings_Oidom(_u2967) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u2967)) )).
% 15.24/15.41 cnf(matrix-1732, plain, ( ~class_Rings_Olinordered__idom(_u2968) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u2968)) )).
% 15.24/15.41 cnf(matrix-1733, plain, ( ~class_Rings_Olinordered__idom(_u2969) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u2969)) )).
% 15.24/15.41 cnf(matrix-1734, plain, ( ~class_Rings_Oidom(_u2970) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u2970)) )).
% 15.24/15.41 cnf(matrix-1735, plain, ( ~class_Rings_Olinordered__idom(_u2971) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u2971)) )).
% 15.24/15.41 cnf(matrix-1736, plain, ( ~class_Rings_Olinordered__idom(_u2972) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u2972)) )).
% 15.24/15.41 cnf(matrix-1737, plain, ( ~class_Rings_Olinordered__idom(_u2973) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u2973)) )).
% 15.24/15.41 cnf(matrix-1738, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2974) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u2974)) )).
% 15.24/15.41 cnf(matrix-1739, plain, ( ~class_Rings_Olinordered__idom(_u2975) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u2975)) )).
% 15.24/15.41 cnf(matrix-1740, plain, ( ~class_Rings_Olinordered__idom(_u2976) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u2976)) )).
% 15.24/15.41 cnf(matrix-1741, plain, ( ~class_Rings_Ocomm__semiring__0(_u2977) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u2977)) )).
% 15.24/15.41 cnf(matrix-1742, plain, ( ~class_Rings_Ocomm__semiring__1(_u2978) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u2978)) )).
% 15.24/15.41 cnf(matrix-1743, plain, ( ~class_Groups_Ocomm__monoid__add(_u2979) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u2979)) )).
% 15.24/15.41 cnf(matrix-1744, plain, ( ~class_Rings_Olinordered__idom(_u2980) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u2980)) )).
% 15.24/15.41 cnf(matrix-1745, plain, ( ~class_Rings_Olinordered__idom(_u2981) | class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(_u2981)) )).
% 15.24/15.41 cnf(matrix-1746, plain, ( ~class_Rings_Oidom(_u2982) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u2982)) )).
% 15.24/15.41 cnf(matrix-1747, plain, ( ~class_Groups_Ocomm__monoid__add(_u2983) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u2983)) )).
% 15.24/15.41 cnf(matrix-1748, plain, ( ~class_Rings_Olinordered__idom(_u2984) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u2984)) )).
% 15.24/15.41 cnf(matrix-1749, plain, ( ~class_Rings_Olinordered__idom(_u2985) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u2985)) )).
% 15.24/15.41 cnf(matrix-1750, plain, ( ~class_Rings_Ocomm__semiring__1(_u2986) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u2986)) )).
% 15.24/15.41 cnf(matrix-1751, plain, ( ~class_Rings_Ocomm__semiring__0(_u2987) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u2987)) )).
% 15.24/15.41 cnf(matrix-1752, plain, ( ~class_Rings_Ocomm__semiring__0(_u2988) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u2988)) )).
% 15.24/15.41 cnf(matrix-1753, plain, ( ~class_Groups_Oab__group__add(_u2989) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u2989)) )).
% 15.24/15.41 cnf(matrix-1754, plain, ( ~class_Rings_Ocomm__semiring__1(_u2990) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u2990)) )).
% 15.24/15.41 cnf(matrix-1755, plain, ( ~class_Rings_Olinordered__idom(_u2991) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u2991)) )).
% 15.24/15.41 cnf(matrix-1756, plain, ( ~class_Rings_Olinordered__idom(_u2992) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u2992)) )).
% 15.24/15.41 cnf(matrix-1757, plain, ( ~class_Rings_Olinordered__idom(_u2993) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u2993)) )).
% 15.24/15.41 cnf(matrix-1758, plain, ( ~class_Rings_Ocomm__semiring__1(_u2994) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u2994)) )).
% 15.24/15.41 cnf(matrix-1759, plain, ( ~class_Rings_Ocomm__ring__1(_u2995) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u2995)) )).
% 15.24/15.41 cnf(matrix-1760, plain, ( ~class_Groups_Ocomm__monoid__add(_u2996) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u2996)) )).
% 15.24/15.41 cnf(matrix-1761, plain, ( ~class_Rings_Ocomm__semiring__0(_u2997) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u2997)) )).
% 15.24/15.41 cnf(matrix-1762, plain, ( ~class_Groups_Oab__group__add(_u2998) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u2998)) )).
% 15.24/15.41 cnf(matrix-1763, plain, ( ~class_Rings_Ocomm__semiring__0(_u2999) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u2999)) )).
% 15.24/15.41 cnf(matrix-1764, plain, ( ~class_Rings_Ocomm__ring(_u3000) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u3000)) )).
% 15.24/15.41 cnf(matrix-1765, plain, ( ~class_Rings_Olinordered__idom(_u3001) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u3001)) )).
% 15.24/15.41 cnf(matrix-1766, plain, ( ~class_Rings_Olinordered__idom(_u3002) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u3002)) )).
% 15.24/15.41 cnf(matrix-1767, plain, ( ~class_Rings_Ocomm__semiring__0(_u3003) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u3003)) )).
% 15.24/15.41 cnf(matrix-1768, plain, ( ~class_Rings_Olinordered__idom(_u3004) | class_Orderings_Oord(tc_Polynomial_Opoly(_u3004)) )).
% 15.24/15.41 cnf(matrix-1769, plain, ( ~class_Groups_Oab__group__add(_u3005) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u3005)) )).
% 15.24/15.41 cnf(matrix-1770, plain, ( ~class_Rings_Olinordered__idom(_u3006) | class_Groups_Osgn__if(tc_Polynomial_Opoly(_u3006)) )).
% 15.24/15.41 cnf(matrix-1771, plain, ( ~class_Rings_Olinordered__idom(_u3007) | class_Groups_Oabs__if(tc_Polynomial_Opoly(_u3007)) )).
% 15.24/15.41 cnf(matrix-1772, plain, ( ~class_Rings_Ocomm__ring__1(_u3008) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u3008)) )).
% 15.24/15.41 cnf(matrix-1773, plain, ( ~class_Groups_Oab__group__add(_u3009) | class_Groups_Ominus(tc_Polynomial_Opoly(_u3009)) )).
% 15.24/15.41 cnf(matrix-1774, plain, ( ~class_Rings_Ocomm__semiring__1(_u3010) | class_Power_Opower(tc_Polynomial_Opoly(_u3010)) )).
% 15.24/15.41 cnf(matrix-1775, plain, ( ~class_Groups_Ozero(_u3011) | class_Groups_Ozero(tc_Polynomial_Opoly(_u3011)) )).
% 15.24/15.41 cnf(matrix-1776, plain, ( ~class_Rings_Ocomm__ring(_u3012) | class_Rings_Oring(tc_Polynomial_Opoly(_u3012)) )).
% 15.24/15.41 cnf(matrix-1777, plain, ( ~class_Rings_Oidom(_u3013) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3013)) )).
% 15.24/15.41 cnf(matrix-1778, plain, ( ~class_Rings_Ocomm__semiring__1(_u3014) | class_Groups_Oone(tc_Polynomial_Opoly(_u3014)) )).
% 15.24/15.41 cnf(matrix-1779, plain, ( ~class_Rings_Ocomm__semiring__1(_u3015) | class_Rings_Odvd(tc_Polynomial_Opoly(_u3015)) )).
% 15.24/15.41 cnf(matrix-1780, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), v_t____), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), v_m____))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), v_t____), v_k____)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.24/15.41
% 15.24/15.41 % Proof stack:
% 15.24/15.41 cnf(proof-stack, plain,
% 15.24/15.41 proof_stack(
% 15.24/15.41 start(1780),
% 15.24/15.41 left_branch(0, 537, 2, 2),
% 15.24/15.41 left_branch(0, 140, 0, 3),
% 15.24/15.41 right_branch(3),
% 15.24/15.41 left_branch(0, 141, 0, 4),
% 15.24/15.41 right_branch(4),
% 15.24/15.41 right_branch(2)
% 15.24/15.41 )).
% 15.24/15.41 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------