TSTP Solution File: SWW263+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW263+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:40:08 EDT 2024
% Result : Theorem 15.12s 15.29s
% Output : Proof 15.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW263+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Mar 21 01:58:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 15.12/15.29 % SZS status Theorem for theBenchmark
% 15.12/15.29 % SZS output start Proof for theBenchmark
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ext ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_t_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 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____) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_t_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 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)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_m_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 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____) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_kas_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_kas_I2_J-1, axiom, ( ( v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact__0960_A_060_At_A_094_Ak_096 ( axiom ) converted to clauses:
% 15.12/15.29 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____)) )).
% 15.12/15.29
% 15.12/15.29 % 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:
% 15.12/15.29 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)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_t_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 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____))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inv0 ( axiom ) converted to clauses:
% 15.12/15.29 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____))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096 ( axiom ) converted to clauses:
% 15.12/15.29 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____))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3) | ~c_Orderings_Oord__class_Oless(_u3, c_Groups_Ozero__class_Ozero(_u3), _u4) | ~c_Orderings_Oord__class_Oless(_u3, _u4, c_Groups_Oone__class_Oone(_u3)) | c_Orderings_Oord__class_Oless(_u3, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3), _u4), hAPP(hAPP(c_Power_Opower__class_Opower(_u3), _u4), _u5)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3), _u4), _u5)) )).
% 15.12/15.29
% 15.12/15.29 % 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:
% 15.12/15.29 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), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2(_u7)) )).
% 15.12/15.29 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), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2(_u7), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29 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), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2(_u7), _u7) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_norm__mult__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_norm__mult__less-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u8) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, _u9), _u10) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, _u11), _u12) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8), _u9), _u11)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u10), _u12)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__norm__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__norm__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u13) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u13, _u14)) | ( _u14 != c_Groups_Ozero__class_Ozero(_u13)) )).
% 15.12/15.29 cnf(fact_zero__less__norm__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u13) | ( _u14 = c_Groups_Ozero__class_Ozero(_u13)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u13, _u14)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u15) | ~c_Orderings_Oord__class_Oless(_u15, c_Groups_Oone__class_Oone(_u15), _u16) | c_Orderings_Oord__class_Oless(_u15, c_Groups_Oone__class_Oone(_u15), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15), _u16), hAPP(hAPP(c_Power_Opower__class_Opower(_u15), _u16), _u17))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u18) | ~c_Orderings_Oord__class_Oless(_u18, c_Groups_Oone__class_Oone(_u18), _u19) | c_Orderings_Oord__class_Oless(_u18, hAPP(hAPP(c_Power_Opower__class_Opower(_u18), _u19), _u20), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18), _u19), hAPP(hAPP(c_Power_Opower__class_Opower(_u18), _u19), _u20))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u21) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u22, _u23) | ~c_Orderings_Oord__class_Oless(_u21, c_Groups_Ozero__class_Ozero(_u21), _u24) | ~c_Orderings_Oord__class_Oless(_u21, _u24, c_Groups_Oone__class_Oone(_u21)) | c_Orderings_Oord__class_Oless(_u21, hAPP(hAPP(c_Power_Opower__class_Opower(_u21), _u24), _u23), hAPP(hAPP(c_Power_Opower__class_Opower(_u21), _u24), _u22)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u25) | c_Orderings_Oord__class_Oless(_u25, c_Groups_Ozero__class_Ozero(_u25), c_Groups_Oplus__class_Oplus(_u25, c_Groups_Oone__class_Oone(_u25), c_Groups_Oone__class_Oone(_u25))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u26) | ~c_Orderings_Oord__class_Oless(_u26, c_Groups_Oplus__class_Oplus(_u26, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), _u27), _u27), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), _u28), _u28)), c_Groups_Ozero__class_Ozero(_u26)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u29) | ~c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u30 != c_Groups_Ozero__class_Ozero(_u29)) | ( _u31 != c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u29) | c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u30 = c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u29) | c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u31 = c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_kas_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_kas_I1_J-1, axiom, ( ( v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_w0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_w0-1, axiom, ( ( v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_w ( axiom ) converted to clauses:
% 15.12/15.29 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)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_complex__mod__triangle__sub ( axiom ) converted to clauses:
% 15.12/15.29 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, _u32), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u32, _u33)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u33))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__inverse__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u34) | ( c_Rings_Oinverse__class_Oinverse(_u34, c_Rings_Oinverse__class_Oinverse(_u34, _u35)) = _u35) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_norm__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_norm__inverse-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u36) | ~class_Rings_Odivision__ring__inverse__zero(_u36) | ( c_RealVector_Onorm__class_Onorm(_u36, c_Rings_Oinverse__class_Oinverse(_u36, _u37)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u36, _u37))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 15.12/15.29 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), _u40), _u42)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u40) | ( _u42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29 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), _u41), _u43)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u41) )).
% 15.12/15.29 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), _u41), _u43)) | ( _u43 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__iff__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__iff__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u44) | ( c_Rings_Oinverse__class_Oinverse(_u44, _u45) != c_Rings_Oinverse__class_Oinverse(_u44, _u46)) | ( _u45 = _u46) )).
% 15.12/15.29 cnf(fact_inverse__eq__iff__eq-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u44) | ( _u45 != _u46) | ( c_Rings_Oinverse__class_Oinverse(_u44, _u45) = c_Rings_Oinverse__class_Oinverse(_u44, _u46)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 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), _u47) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u47), _u48), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u47), _u49)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u48, _u49) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u50) | ( c_Rings_Oinverse__class_Oinverse(_u50, _u51) != c_Rings_Oinverse__class_Oinverse(_u50, _u52)) | ( _u51 = _u52) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u53) | ( c_Rings_Oinverse__class_Oinverse(_u53, _u54) != c_Rings_Oinverse__class_Oinverse(_u53, _u55)) | ( _u54 = c_Groups_Ozero__class_Ozero(_u53)) | ( _u55 = c_Groups_Ozero__class_Ozero(_u53)) | ( _u54 = _u55) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__zero__imp__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__zero__imp__zero-1, axiom, ( ~class_Rings_Odivision__ring(_u56) | ( c_Rings_Oinverse__class_Oinverse(_u56, _u57) != c_Groups_Ozero__class_Ozero(_u56)) | ( _u57 = c_Groups_Ozero__class_Ozero(_u56)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__inverse__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u58) | ( _u59 = c_Groups_Ozero__class_Ozero(_u58)) | ( c_Rings_Oinverse__class_Oinverse(_u58, c_Rings_Oinverse__class_Oinverse(_u58, _u59)) = _u59) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__imp__inverse__nonzero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__imp__inverse__nonzero-1, axiom, ( ~class_Rings_Odivision__ring(_u60) | ( _u61 = c_Groups_Ozero__class_Ozero(_u60)) | ( c_Rings_Oinverse__class_Oinverse(_u60, _u61) != c_Groups_Ozero__class_Ozero(_u60)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__nonzero__iff__nonzero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__nonzero__iff__nonzero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u62) | ( c_Rings_Oinverse__class_Oinverse(_u62, _u63) != c_Groups_Ozero__class_Ozero(_u62)) | ( _u63 = c_Groups_Ozero__class_Ozero(_u62)) )).
% 15.12/15.29 cnf(fact_inverse__nonzero__iff__nonzero-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u62) | ( _u63 != c_Groups_Ozero__class_Ozero(_u62)) | ( c_Rings_Oinverse__class_Oinverse(_u62, _u63) = c_Groups_Ozero__class_Ozero(_u62)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u64) | ( c_Rings_Oinverse__class_Oinverse(_u64, c_Groups_Ozero__class_Ozero(_u64)) = c_Groups_Ozero__class_Ozero(_u64)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__1-1, axiom, ( ~class_Rings_Odivision__ring(_u65) | ( c_Rings_Oinverse__class_Oinverse(_u65, c_Groups_Oone__class_Oone(_u65)) = c_Groups_Oone__class_Oone(_u65)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__inverse-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u66) | ( c_Rings_Oinverse__class_Oinverse(_u66, hAPP(hAPP(c_Power_Opower__class_Opower(_u66), _u67), _u68)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u66), c_Rings_Oinverse__class_Oinverse(_u66, _u67)), _u68)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u69) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u69), _u70), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u71), _u72)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u69), hAPP(hAPP(c_Power_Opower__class_Opower(_u69), _u70), _u71)), _u72)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__norm__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__norm__inverse-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u73) | ( _u74 = c_Groups_Ozero__class_Ozero(_u73)) | ( c_RealVector_Onorm__class_Onorm(_u73, c_Rings_Oinverse__class_Oinverse(_u73, _u74)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u73, _u74))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u75) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u75), _u76), _u77) != hAPP(hAPP(c_Power_Opower__class_Opower(_u75), _u78), _u77)) | ~c_Orderings_Oord__class_Oless__eq(_u75, c_Groups_Ozero__class_Ozero(_u75), _u76) | ~c_Orderings_Oord__class_Oless__eq(_u75, c_Groups_Ozero__class_Ozero(_u75), _u78) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u77) | ( _u76 = _u78) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u79) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u80, _u81) | ~c_Orderings_Oord__class_Oless__eq(_u79, c_Groups_Oone__class_Oone(_u79), _u82) | c_Orderings_Oord__class_Oless__eq(_u79, hAPP(hAPP(c_Power_Opower__class_Opower(_u79), _u82), _u80), hAPP(hAPP(c_Power_Opower__class_Opower(_u79), _u82), _u81)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u83) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u84, _u85) | ~c_Orderings_Oord__class_Oless__eq(_u83, c_Groups_Ozero__class_Ozero(_u83), _u86) | ~c_Orderings_Oord__class_Oless__eq(_u83, _u86, c_Groups_Oone__class_Oone(_u83)) | c_Orderings_Oord__class_Oless__eq(_u83, hAPP(hAPP(c_Power_Opower__class_Opower(_u83), _u86), _u85), hAPP(hAPP(c_Power_Opower__class_Opower(_u83), _u86), _u84)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u87) | ~c_Orderings_Oord__class_Oless(_u87, c_Groups_Oone__class_Oone(_u87), _u88) | ~c_Orderings_Oord__class_Oless__eq(_u87, hAPP(hAPP(c_Power_Opower__class_Opower(_u87), _u88), _u89), hAPP(hAPP(c_Power_Opower__class_Opower(_u87), _u88), _u90)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u89, _u90) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u91) | ~c_Orderings_Oord__class_Oless(_u91, c_Groups_Oone__class_Oone(_u91), _u92) | ~c_Orderings_Oord__class_Oless__eq(_u91, hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u93), hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u94)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u93, _u94) )).
% 15.12/15.29 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u91) | ~c_Orderings_Oord__class_Oless(_u91, c_Groups_Oone__class_Oone(_u91), _u92) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u93, _u94) | c_Orderings_Oord__class_Oless__eq(_u91, hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u93), hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u94)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__mult__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u95) | ( _u96 = c_Groups_Ozero__class_Ozero(_u95)) | ( _u97 = c_Groups_Ozero__class_Ozero(_u95)) | ( c_Rings_Oinverse__class_Oinverse(_u95, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u95), _u96), _u97)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u95), c_Rings_Oinverse__class_Oinverse(_u95, _u97)), c_Rings_Oinverse__class_Oinverse(_u95, _u96))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__unique ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__unique-1, axiom, ( ~class_Rings_Odivision__ring(_u98) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u98), _u99), _u100) != c_Groups_Oone__class_Oone(_u98)) | ( c_Rings_Oinverse__class_Oinverse(_u98, _u99) = _u100) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__power__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__power__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u101) | ( _u102 = c_Groups_Ozero__class_Ozero(_u101)) | ( c_Rings_Oinverse__class_Oinverse(_u101, hAPP(hAPP(c_Power_Opower__class_Opower(_u101), _u102), _u103)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u101), c_Rings_Oinverse__class_Oinverse(_u101, _u102)), _u103)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u104) | c_Orderings_Oord__class_Oless__eq(_u104, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), _u106), c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, c_Groups_Ozero__class_Ozero(_u104), _u105) | ~c_Orderings_Oord__class_Oless__eq(_u104, _u106, c_Groups_Ozero__class_Ozero(_u104)) )).
% 15.12/15.30 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u104) | c_Orderings_Oord__class_Oless__eq(_u104, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), _u106), c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, _u105, c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, c_Groups_Ozero__class_Ozero(_u104), _u106) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u107) | c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u107), _u108), _u109)) | ~c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), _u108) | ~c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), _u109) )).
% 15.12/15.30 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u107) | c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u107), _u108), _u109)) | ~c_Orderings_Oord__class_Oless__eq(_u107, _u108, c_Groups_Ozero__class_Ozero(_u107)) | ~c_Orderings_Oord__class_Oless__eq(_u107, _u109, c_Groups_Ozero__class_Ozero(_u107)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u110) | ~c_Orderings_Oord__class_Oless__eq(_u110, _u111, _u112) | ~c_Orderings_Oord__class_Oless__eq(_u110, _u113, _u114) | ~c_Orderings_Oord__class_Oless__eq(_u110, c_Groups_Ozero__class_Ozero(_u110), _u112) | ~c_Orderings_Oord__class_Oless__eq(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless__eq(_u110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), _u111), _u113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), _u112), _u114)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u115) | ~c_Orderings_Oord__class_Oless__eq(_u115, _u116, _u117) | ~c_Orderings_Oord__class_Oless__eq(_u115, _u118, _u119) | ~c_Orderings_Oord__class_Oless__eq(_u115, c_Groups_Ozero__class_Ozero(_u115), _u116) | ~c_Orderings_Oord__class_Oless__eq(_u115, c_Groups_Ozero__class_Ozero(_u115), _u118) | c_Orderings_Oord__class_Oless__eq(_u115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u115), _u116), _u118), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u115), _u117), _u119)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u120) | ~c_Orderings_Oord__class_Oless__eq(_u120, _u121, _u122) | ~c_Orderings_Oord__class_Oless__eq(_u120, _u123, c_Groups_Ozero__class_Ozero(_u120)) | c_Orderings_Oord__class_Oless__eq(_u120, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u120), _u123), _u122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u120), _u123), _u121)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u124) | ~c_Orderings_Oord__class_Oless__eq(_u124, _u125, _u126) | ~c_Orderings_Oord__class_Oless__eq(_u124, _u127, c_Groups_Ozero__class_Ozero(_u124)) | c_Orderings_Oord__class_Oless__eq(_u124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u124), _u126), _u127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u124), _u125), _u127)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u128) | ~c_Orderings_Oord__class_Oless__eq(_u128, _u129, _u130) | ~c_Orderings_Oord__class_Oless__eq(_u128, c_Groups_Ozero__class_Ozero(_u128), _u131) | c_Orderings_Oord__class_Oless__eq(_u128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u128), _u131), _u129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u128), _u131), _u130)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u132) | ~c_Orderings_Oord__class_Oless__eq(_u132, _u133, _u134) | ~c_Orderings_Oord__class_Oless__eq(_u132, c_Groups_Ozero__class_Ozero(_u132), _u135) | c_Orderings_Oord__class_Oless__eq(_u132, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u132), _u135), _u133), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u132), _u135), _u134)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u136) | ~c_Orderings_Oord__class_Oless__eq(_u136, _u137, _u138) | ~c_Orderings_Oord__class_Oless__eq(_u136, c_Groups_Ozero__class_Ozero(_u136), _u139) | c_Orderings_Oord__class_Oless__eq(_u136, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u136), _u137), _u139), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u136), _u138), _u139)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u140) | ~c_Orderings_Oord__class_Oless__eq(_u140, _u141, c_Groups_Ozero__class_Ozero(_u140)) | ~c_Orderings_Oord__class_Oless__eq(_u140, _u142, c_Groups_Ozero__class_Ozero(_u140)) | c_Orderings_Oord__class_Oless__eq(_u140, c_Groups_Ozero__class_Ozero(_u140), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u140), _u141), _u142)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u143) | ~c_Orderings_Oord__class_Oless__eq(_u143, _u144, c_Groups_Ozero__class_Ozero(_u143)) | ~c_Orderings_Oord__class_Oless__eq(_u143, c_Groups_Ozero__class_Ozero(_u143), _u145) | c_Orderings_Oord__class_Oless__eq(_u143, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u143), _u144), _u145), c_Groups_Ozero__class_Ozero(_u143)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u146) | ~c_Orderings_Oord__class_Oless__eq(_u146, c_Groups_Ozero__class_Ozero(_u146), _u147) | ~c_Orderings_Oord__class_Oless__eq(_u146, _u148, c_Groups_Ozero__class_Ozero(_u146)) | c_Orderings_Oord__class_Oless__eq(_u146, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u146), _u148), _u147), c_Groups_Ozero__class_Ozero(_u146)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u149) | ~c_Orderings_Oord__class_Oless__eq(_u149, c_Groups_Ozero__class_Ozero(_u149), _u150) | ~c_Orderings_Oord__class_Oless__eq(_u149, _u151, c_Groups_Ozero__class_Ozero(_u149)) | c_Orderings_Oord__class_Oless__eq(_u149, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u149), _u150), _u151), c_Groups_Ozero__class_Ozero(_u149)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u152) | ~c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), _u153) | ~c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), _u154) | c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u152), _u153), _u154)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.30 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.30 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.30 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.30 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | ~c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.30 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u155) | c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) | c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) | c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) )).
% 15.12/15.30 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u158) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | ~c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) | ~c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u161) | c_Orderings_Oord__class_Oless__eq(_u161, c_Groups_Ozero__class_Ozero(_u161), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u161), _u162), _u162)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u163) | c_Orderings_Oord__class_Oless__eq(_u163, c_Groups_Ozero__class_Ozero(_u163), c_Groups_Oone__class_Oone(_u163)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u164) | ~c_Orderings_Oord__class_Oless__eq(_u164, c_Groups_Oone__class_Oone(_u164), c_Groups_Ozero__class_Ozero(_u164)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u165) | ~c_Orderings_Oord__class_Oless__eq(_u165, _u166, _u167) | ~c_Orderings_Oord__class_Oless__eq(_u165, c_Groups_Ozero__class_Ozero(_u165), _u166) | c_Orderings_Oord__class_Oless__eq(_u165, hAPP(hAPP(c_Power_Opower__class_Opower(_u165), _u166), _u168), hAPP(hAPP(c_Power_Opower__class_Opower(_u165), _u167), _u168)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u169) | ~c_Orderings_Oord__class_Oless__eq(_u169, c_Groups_Ozero__class_Ozero(_u169), _u170) | c_Orderings_Oord__class_Oless__eq(_u169, c_Groups_Ozero__class_Ozero(_u169), hAPP(hAPP(c_Power_Opower__class_Opower(_u169), _u170), _u171)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u172) | ~c_Orderings_Oord__class_Oless__eq(_u172, c_Groups_Oone__class_Oone(_u172), _u173) | c_Orderings_Oord__class_Oless__eq(_u172, c_Groups_Oone__class_Oone(_u172), hAPP(hAPP(c_Power_Opower__class_Opower(_u172), _u173), _u174)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__triangle__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u175) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u175, c_Groups_Oplus__class_Oplus(_u175, _u176, _u177)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u175, _u176), c_RealVector_Onorm__class_Onorm(_u175, _u177))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__ge__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u178) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u178, _u179)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u180) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u180), _u181), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u180)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_division__ring__inverse__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_division__ring__inverse__add-1, axiom, ( ~class_Rings_Odivision__ring(_u182) | ( _u183 = c_Groups_Ozero__class_Ozero(_u182)) | ( _u184 = c_Groups_Ozero__class_Ozero(_u182)) | ( c_Groups_Oplus__class_Oplus(_u182, c_Rings_Oinverse__class_Oinverse(_u182, _u183), c_Rings_Oinverse__class_Oinverse(_u182, _u184)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u182), c_Rings_Oinverse__class_Oinverse(_u182, _u183)), c_Groups_Oplus__class_Oplus(_u182, _u183, _u184))), c_Rings_Oinverse__class_Oinverse(_u182, _u184))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_left__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_left__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u185) | ( _u186 = c_Groups_Ozero__class_Ozero(_u185)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u185), c_Rings_Oinverse__class_Oinverse(_u185, _u186)), _u186) = c_Groups_Oone__class_Oone(_u185)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_right__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_right__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u187) | ( _u188 = c_Groups_Ozero__class_Ozero(_u187)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u187), _u188), c_Rings_Oinverse__class_Oinverse(_u187, _u188)) = c_Groups_Oone__class_Oone(_u187)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u189) | ~c_Orderings_Oord__class_Oless__eq(_u189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u192)) | ~c_Orderings_Oord__class_Oless(_u189, c_Groups_Ozero__class_Ozero(_u189), _u190) | c_Orderings_Oord__class_Oless__eq(_u189, _u191, _u192) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u193) | ~c_Orderings_Oord__class_Oless__eq(_u193, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u193), _u194), _u195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u193), _u196), _u195)) | ~c_Orderings_Oord__class_Oless(_u193, c_Groups_Ozero__class_Ozero(_u193), _u195) | c_Orderings_Oord__class_Oless__eq(_u193, _u194, _u196) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u197) | ~c_Orderings_Oord__class_Oless(_u197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u197), _u198), _u199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u197), _u198), _u200)) | ~c_Orderings_Oord__class_Oless__eq(_u197, c_Groups_Ozero__class_Ozero(_u197), _u198) | c_Orderings_Oord__class_Oless(_u197, _u199, _u200) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u201) | ~c_Orderings_Oord__class_Oless(_u201, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u201), _u202), _u203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u201), _u202), _u204)) | ~c_Orderings_Oord__class_Oless__eq(_u201, c_Groups_Ozero__class_Ozero(_u201), _u202) | c_Orderings_Oord__class_Oless(_u201, _u203, _u204) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u205) | ~c_Orderings_Oord__class_Oless(_u205, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u205), _u206), _u207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u205), _u208), _u207)) | ~c_Orderings_Oord__class_Oless__eq(_u205, c_Groups_Ozero__class_Ozero(_u205), _u207) | c_Orderings_Oord__class_Oless(_u205, _u206, _u208) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u209) | ~c_Orderings_Oord__class_Oless(_u209, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u209), _u210), _u211), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u209), _u212), _u211)) | ~c_Orderings_Oord__class_Oless__eq(_u209, c_Groups_Ozero__class_Ozero(_u209), _u211) | c_Orderings_Oord__class_Oless(_u209, _u210, _u212) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u213) | ~c_Orderings_Oord__class_Oless__eq(_u213, _u214, _u215) | ~c_Orderings_Oord__class_Oless(_u213, _u216, _u217) | ~c_Orderings_Oord__class_Oless(_u213, c_Groups_Ozero__class_Ozero(_u213), _u214) | ~c_Orderings_Oord__class_Oless__eq(_u213, c_Groups_Ozero__class_Ozero(_u213), _u216) | c_Orderings_Oord__class_Oless(_u213, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u213), _u214), _u216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u213), _u215), _u217)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u218) | ~c_Orderings_Oord__class_Oless(_u218, _u219, _u220) | ~c_Orderings_Oord__class_Oless__eq(_u218, _u221, _u222) | ~c_Orderings_Oord__class_Oless__eq(_u218, c_Groups_Ozero__class_Ozero(_u218), _u219) | ~c_Orderings_Oord__class_Oless(_u218, c_Groups_Ozero__class_Ozero(_u218), _u221) | c_Orderings_Oord__class_Oless(_u218, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u218), _u219), _u221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u218), _u220), _u222)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u223) | ~c_Orderings_Oord__class_Oless(_u223, _u224, _u225) | ~c_Orderings_Oord__class_Oless(_u223, _u226, _u227) | ~c_Orderings_Oord__class_Oless__eq(_u223, c_Groups_Ozero__class_Ozero(_u223), _u224) | ~c_Orderings_Oord__class_Oless__eq(_u223, c_Groups_Ozero__class_Ozero(_u223), _u226) | c_Orderings_Oord__class_Oless(_u223, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u223), _u224), _u226), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u223), _u225), _u227)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u228) | ~c_Orderings_Oord__class_Oless(_u228, _u229, _u230) | ~c_Orderings_Oord__class_Oless(_u228, _u231, _u232) | ~c_Orderings_Oord__class_Oless(_u228, c_Groups_Ozero__class_Ozero(_u228), _u230) | ~c_Orderings_Oord__class_Oless__eq(_u228, c_Groups_Ozero__class_Ozero(_u228), _u231) | c_Orderings_Oord__class_Oless(_u228, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u228), _u229), _u231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u228), _u230), _u232)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u233) | ~c_Orderings_Oord__class_Oless(_u233, _u234, c_Groups_Ozero__class_Ozero(_u233)) | ~c_Orderings_Oord__class_Oless__eq(_u233, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u236)) | c_Orderings_Oord__class_Oless__eq(_u233, _u236, _u235) )).
% 15.12/15.30 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u233) | ~c_Orderings_Oord__class_Oless(_u233, _u234, c_Groups_Ozero__class_Ozero(_u233)) | ~c_Orderings_Oord__class_Oless__eq(_u233, _u236, _u235) | c_Orderings_Oord__class_Oless__eq(_u233, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u236)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u237) | ~c_Orderings_Oord__class_Oless(_u237, c_Groups_Ozero__class_Ozero(_u237), _u238) | ~c_Orderings_Oord__class_Oless__eq(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u240)) | c_Orderings_Oord__class_Oless__eq(_u237, _u239, _u240) )).
% 15.12/15.30 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u237) | ~c_Orderings_Oord__class_Oless(_u237, c_Groups_Ozero__class_Ozero(_u237), _u238) | ~c_Orderings_Oord__class_Oless__eq(_u237, _u239, _u240) | c_Orderings_Oord__class_Oless__eq(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u240)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u241) | ~c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) | ( _u242 = c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.30 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u241) | ~c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) | ( _u243 = c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.30 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u241) | ( _u242 != c_Groups_Ozero__class_Ozero(_u241)) | ( _u243 != c_Groups_Ozero__class_Ozero(_u241)) | c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u244) | c_Orderings_Oord__class_Oless__eq(_u244, c_Groups_Ozero__class_Ozero(_u244), c_Groups_Oplus__class_Oplus(_u244, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u244), _u245), _u245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u244), _u246), _u246))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u247) | ~c_Orderings_Oord__class_Oless__eq(_u247, c_Groups_Ozero__class_Ozero(_u247), _u248) | ~c_Orderings_Oord__class_Oless__eq(_u247, c_Groups_Ozero__class_Ozero(_u247), _u249) | ~c_Orderings_Oord__class_Oless__eq(_u247, _u249, c_Groups_Oone__class_Oone(_u247)) | c_Orderings_Oord__class_Oless__eq(_u247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u247), _u249), _u248), _u248) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u250) | ~c_Orderings_Oord__class_Oless__eq(_u250, c_Groups_Ozero__class_Ozero(_u250), _u251) | ~c_Orderings_Oord__class_Oless__eq(_u250, c_Groups_Ozero__class_Ozero(_u250), _u252) | ~c_Orderings_Oord__class_Oless__eq(_u250, _u252, c_Groups_Oone__class_Oone(_u250)) | c_Orderings_Oord__class_Oless__eq(_u250, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u251), _u252), _u251) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u253) | ~c_Orderings_Oord__class_Oless(_u253, hAPP(hAPP(c_Power_Opower__class_Opower(_u253), _u254), _u255), hAPP(hAPP(c_Power_Opower__class_Opower(_u253), _u256), _u255)) | ~c_Orderings_Oord__class_Oless__eq(_u253, c_Groups_Ozero__class_Ozero(_u253), _u256) | c_Orderings_Oord__class_Oless(_u253, _u254, _u256) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u257) | ~c_Orderings_Oord__class_Oless(_u257, _u258, _u259) | ~c_Orderings_Oord__class_Oless__eq(_u257, c_Groups_Ozero__class_Ozero(_u257), _u258) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u260) | c_Orderings_Oord__class_Oless(_u257, hAPP(hAPP(c_Power_Opower__class_Opower(_u257), _u258), _u260), hAPP(hAPP(c_Power_Opower__class_Opower(_u257), _u259), _u260)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__le__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__le__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u261) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u261, _u262), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u262 = c_Groups_Ozero__class_Ozero(_u261)) )).
% 15.12/15.30 cnf(fact_norm__le__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u261) | ( _u262 != c_Groups_Ozero__class_Ozero(_u261)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u261, _u262), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__mult__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__mult__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u263) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u263, _u264)), c_RealVector_Onorm__class_Onorm(_u263, _u265))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u266) | ~c_Orderings_Oord__class_Oless(_u266, c_Groups_Oone__class_Oone(_u266), _u267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u268) | c_Orderings_Oord__class_Oless(_u266, c_Groups_Oone__class_Oone(_u266), hAPP(hAPP(c_Power_Opower__class_Opower(_u266), _u267), _u268)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__power__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__power__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u269) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u269, hAPP(hAPP(c_Power_Opower__class_Opower(_u269), _u270), _u271)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u269, _u270)), _u271)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u272) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u273, _u274) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u275, _u274) | ~c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Ozero__class_Ozero(_u272), _u276) | ~c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Ozero__class_Ozero(_u272), _u277) | ( c_Groups_Oplus__class_Oplus(_u272, _u276, _u277) != c_Groups_Oone__class_Oone(_u272)) | c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Oplus__class_Oplus(_u272, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u272), _u276), _u273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u272), _u277), _u275)), _u274) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u278) | ( _u279 = _u280) | c_Orderings_Oord__class_Oless(_u278, _u279, _u280) | c_Orderings_Oord__class_Oless(_u278, _u280, _u279) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u281) | ~c_Orderings_Oord__class_Oless(_u281, _u282, _u283) | ~c_Orderings_Oord__class_Oless(_u281, _u284, _u283) | ~c_Orderings_Oord__class_Oless__eq(_u281, c_Groups_Ozero__class_Ozero(_u281), _u285) | ~c_Orderings_Oord__class_Oless__eq(_u281, c_Groups_Ozero__class_Ozero(_u281), _u286) | ( c_Groups_Oplus__class_Oplus(_u281, _u285, _u286) != c_Groups_Oone__class_Oone(_u281)) | c_Orderings_Oord__class_Oless(_u281, c_Groups_Oplus__class_Oplus(_u281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u281), _u285), _u282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u281), _u286), _u284)), _u283) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), _u288), _u289) != c_Groups_Ozero__class_Ozero(_u287)) | ( _u288 = c_Groups_Ozero__class_Ozero(_u287)) | ( _u289 = c_Groups_Ozero__class_Ozero(_u287)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u290) | ( _u291 = c_Groups_Ozero__class_Ozero(_u290)) | ( _u292 = c_Groups_Ozero__class_Ozero(_u290)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u290), _u291), _u292) != c_Groups_Ozero__class_Ozero(_u290)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) != c_Groups_Ozero__class_Ozero(_u293)) | ( _u294 = c_Groups_Ozero__class_Ozero(_u293)) | ( _u295 = c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.30 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) = c_Groups_Ozero__class_Ozero(_u293)) | ( _u294 != c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.30 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) = c_Groups_Ozero__class_Ozero(_u293)) | ( _u295 != c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), _u297), c_Groups_Ozero__class_Ozero(_u296)) = c_Groups_Ozero__class_Ozero(_u296)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Ozero__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Ozero__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u298), _u299), c_Groups_Ozero__class_Ozero(_u298)) = c_Groups_Ozero__class_Ozero(_u298)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u300) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u300), _u301), c_Groups_Ozero__class_Ozero(_u300)) = c_Groups_Ozero__class_Ozero(_u300)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u302) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u302), c_Groups_Ozero__class_Ozero(_u302)), _u303) = c_Groups_Ozero__class_Ozero(_u302)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Ozero__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Ozero__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u304) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u304), c_Groups_Ozero__class_Ozero(_u304)), _u305) = c_Groups_Ozero__class_Ozero(_u304)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u306) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u306), c_Groups_Ozero__class_Ozero(_u306)), _u307) = c_Groups_Ozero__class_Ozero(_u306)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u308) | ( c_Groups_Ozero__class_Ozero(_u308) != c_Groups_Oone__class_Oone(_u308)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u309) | ( c_Groups_Oone__class_Oone(_u309) != c_Groups_Ozero__class_Ozero(_u309)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u310) | ( c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), _u311), _u312), c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), _u313), _u312), _u314)) = c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), c_Groups_Oplus__class_Oplus(_u310, _u311, _u313)), _u312), _u314)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left_Oadd ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u315) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), c_Groups_Oplus__class_Oplus(_u315, _u316, _u317)), _u318) = c_Groups_Oplus__class_Oplus(_u315, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), _u316), _u318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), _u317), _u318))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Oadd__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Oadd__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u319) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), c_Groups_Oplus__class_Oplus(_u319, _u320, _u321)), _u322) = c_Groups_Oplus__class_Oplus(_u319, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), _u320), _u322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), _u321), _u322))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u323) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), c_Groups_Oplus__class_Oplus(_u323, _u324, _u325)), _u326) = c_Groups_Oplus__class_Oplus(_u323, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), _u324), _u326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), _u325), _u326))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right_Oadd ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u327) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), c_Groups_Oplus__class_Oplus(_u327, _u329, _u330)) = c_Groups_Oplus__class_Oplus(_u327, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), _u329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), _u330))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Oadd__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Oadd__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), c_Groups_Oplus__class_Oplus(_u331, _u333, _u334)) = c_Groups_Oplus__class_Oplus(_u331, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), _u333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), _u334))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u335) | ( _u336 = c_Groups_Ozero__class_Ozero(_u335)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u335), _u336), _u337) != c_Groups_Ozero__class_Ozero(_u335)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) != c_Groups_Ozero__class_Ozero(_u338)) | ( _u339 = c_Groups_Ozero__class_Ozero(_u338)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) != c_Groups_Ozero__class_Ozero(_u338)) | ( _u340 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( _u339 != c_Groups_Ozero__class_Ozero(_u338)) | ( _u340 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) = c_Groups_Ozero__class_Ozero(_u338)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u341) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u341), _u342), _u343)), _u344) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u341), hAPP(hAPP(c_Power_Opower__class_Opower(_u341), _u342), _u344)), hAPP(hAPP(c_Power_Opower__class_Opower(_u341), _u343), _u344))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u345) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u345), hAPP(hAPP(c_Power_Opower__class_Opower(_u345), _u346), _u347)), _u346) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u345), _u346), hAPP(hAPP(c_Power_Opower__class_Opower(_u345), _u346), _u347))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u348) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u348), c_Groups_Oone__class_Oone(_u348)), _u349) = c_Groups_Oone__class_Oone(_u348)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u350) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u350), _u351), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u351) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u352) | ~c_Orderings_Oord__class_Oless(_u352, _u353, _u354) | ~c_Orderings_Oord__class_Oless(_u352, _u355, c_Groups_Ozero__class_Ozero(_u352)) | c_Orderings_Oord__class_Oless(_u352, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u352), _u355), _u354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u352), _u355), _u353)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u356) | ~c_Orderings_Oord__class_Oless(_u356, _u357, _u358) | ~c_Orderings_Oord__class_Oless(_u356, _u359, c_Groups_Ozero__class_Ozero(_u356)) | c_Orderings_Oord__class_Oless(_u356, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u356), _u358), _u359), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u356), _u357), _u359)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u360) | ~c_Orderings_Oord__class_Oless(_u360, _u361, _u362) | ~c_Orderings_Oord__class_Oless(_u360, c_Groups_Ozero__class_Ozero(_u360), _u363) | c_Orderings_Oord__class_Oless(_u360, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u360), _u363), _u361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u360), _u363), _u362)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u364) | ~c_Orderings_Oord__class_Oless(_u364, _u365, _u366) | ~c_Orderings_Oord__class_Oless(_u364, c_Groups_Ozero__class_Ozero(_u364), _u367) | c_Orderings_Oord__class_Oless(_u364, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u364), _u367), _u365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u364), _u367), _u366)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u368) | ~c_Orderings_Oord__class_Oless(_u368, _u369, _u370) | ~c_Orderings_Oord__class_Oless(_u368, c_Groups_Ozero__class_Ozero(_u368), _u371) | c_Orderings_Oord__class_Oless(_u368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u368), _u369), _u371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u368), _u370), _u371)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u372) | ~c_Orderings_Oord__class_Oless(_u372, _u373, c_Groups_Ozero__class_Ozero(_u372)) | ~c_Orderings_Oord__class_Oless(_u372, _u374, c_Groups_Ozero__class_Ozero(_u372)) | c_Orderings_Oord__class_Oless(_u372, c_Groups_Ozero__class_Ozero(_u372), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u372), _u373), _u374)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u375) | ~c_Orderings_Oord__class_Oless(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) | c_Orderings_Oord__class_Oless(_u375, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u375), _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless(_u378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u381)) | c_Orderings_Oord__class_Oless(_u378, _u381, _u380) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless(_u378, _u381, _u380) | c_Orderings_Oord__class_Oless(_u378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u381)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u382) | ~c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u382), _u383), _u384)) | ~c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), _u384) | c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), _u383) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u385) | ~c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u385), _u386), _u387)) | ~c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), _u386) | c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), _u387) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u388) | ~c_Orderings_Oord__class_Oless(_u388, c_Groups_Ozero__class_Ozero(_u388), _u389) | ~c_Orderings_Oord__class_Oless(_u388, _u390, c_Groups_Ozero__class_Ozero(_u388)) | c_Orderings_Oord__class_Oless(_u388, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u388), _u390), _u389), c_Groups_Ozero__class_Ozero(_u388)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u391) | ~c_Orderings_Oord__class_Oless(_u391, c_Groups_Ozero__class_Ozero(_u391), _u392) | ~c_Orderings_Oord__class_Oless(_u391, _u393, c_Groups_Ozero__class_Ozero(_u391)) | c_Orderings_Oord__class_Oless(_u391, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u391), _u392), _u393), c_Groups_Ozero__class_Ozero(_u391)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u394) | ~c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), _u395) | ~c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), _u396) | c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u394), _u395), _u396)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u397) | ~c_Orderings_Oord__class_Oless(_u397, c_Groups_Ozero__class_Ozero(_u397), _u398) | ~c_Orderings_Oord__class_Oless(_u397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u400)) | c_Orderings_Oord__class_Oless(_u397, _u399, _u400) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u397) | ~c_Orderings_Oord__class_Oless(_u397, c_Groups_Ozero__class_Ozero(_u397), _u398) | ~c_Orderings_Oord__class_Oless(_u397, _u399, _u400) | c_Orderings_Oord__class_Oless(_u397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u400)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, _u403, _u404) | c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, _u403, _u404) | c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | ~c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | ~c_Orderings_Oord__class_Oless(_u401, _u403, _u404) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u401) | c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | ~c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) | ~c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, _u406, _u408) | c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, _u406, _u408) | c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | ~c_Orderings_Oord__class_Oless(_u405, _u406, _u408) )).
% 15.12/15.30 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | ~c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) | ~c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u409) | ~c_Orderings_Oord__class_Oless(_u409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u409), _u410), _u410), c_Groups_Ozero__class_Ozero(_u409)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u411) | ~c_Orderings_Oord__class_Oless(_u411, c_Groups_Ozero__class_Ozero(_u411), _u412) | ~c_Orderings_Oord__class_Oless(_u411, _u413, _u414) | c_Orderings_Oord__class_Oless(_u411, _u413, c_Groups_Oplus__class_Oplus(_u411, _u412, _u414)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) != c_Groups_Ozero__class_Ozero(_u415)) | ( _u416 = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.30 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) != c_Groups_Ozero__class_Ozero(_u415)) | ( _u417 = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.30 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( _u416 != c_Groups_Ozero__class_Ozero(_u415)) | ( _u417 != c_Groups_Ozero__class_Ozero(_u415)) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u418) | c_Orderings_Oord__class_Oless(_u418, c_Groups_Ozero__class_Ozero(_u418), c_Groups_Oone__class_Oone(_u418)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u419) | ~c_Orderings_Oord__class_Oless(_u419, c_Groups_Oone__class_Oone(_u419), c_Groups_Ozero__class_Ozero(_u419)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u420) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), _u421) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), _u422) | c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u420), _u421), _u422)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u423) | ~c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), _u424) | c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), hAPP(hAPP(c_Power_Opower__class_Opower(_u423), _u424), _u425)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u426) | c_Orderings_Oord__class_Oless(_u426, _u427, c_Groups_Oplus__class_Oplus(_u426, _u427, c_Groups_Oone__class_Oone(_u426))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u428) | ~class_Rings_Osemiring__0(_u428) | ( _u429 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u428), c_Groups_Ozero__class_Ozero(_u428)), _u429) = c_Groups_Oone__class_Oone(_u428)) )).
% 15.12/15.30 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u428) | ~class_Rings_Osemiring__0(_u428) | ( _u429 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u428), c_Groups_Ozero__class_Ozero(_u428)), _u429) = c_Groups_Ozero__class_Ozero(_u428)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u430) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u431, _u432) | ~c_Orderings_Oord__class_Oless(_u430, c_Groups_Oone__class_Oone(_u430), _u433) | c_Orderings_Oord__class_Oless(_u430, hAPP(hAPP(c_Power_Opower__class_Opower(_u430), _u433), _u431), hAPP(hAPP(c_Power_Opower__class_Opower(_u430), _u433), _u432)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u434) | ~c_Orderings_Oord__class_Oless(_u434, c_Groups_Oone__class_Oone(_u434), _u435) | ~c_Orderings_Oord__class_Oless(_u434, hAPP(hAPP(c_Power_Opower__class_Opower(_u434), _u435), _u436), hAPP(hAPP(c_Power_Opower__class_Opower(_u434), _u435), _u437)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u436, _u437) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u438) | ~c_Orderings_Oord__class_Oless(_u438, c_Groups_Oone__class_Oone(_u438), _u439) | ~c_Orderings_Oord__class_Oless(_u438, hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u440), hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u441)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u440, _u441) )).
% 15.12/15.30 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u438) | ~c_Orderings_Oord__class_Oless(_u438, c_Groups_Oone__class_Oone(_u438), _u439) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u440, _u441) | c_Orderings_Oord__class_Oless(_u438, hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u440), hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u441)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u442) | ~c_Orderings_Oord__class_Oless(_u442, c_Groups_Oone__class_Oone(_u442), _u443) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u444) != hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u445)) | ( _u444 = _u445) )).
% 15.12/15.30 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u442) | ~c_Orderings_Oord__class_Oless(_u442, c_Groups_Oone__class_Oone(_u442), _u443) | ( _u444 != _u445) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u444) = hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u445)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u446) | ( c_RealVector_Onorm__class_Onorm(_u446, c_Groups_Ozero__class_Ozero(_u446)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__eq__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__eq__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u447) | ( c_RealVector_Onorm__class_Onorm(_u447, _u448) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u448 = c_Groups_Ozero__class_Ozero(_u447)) )).
% 15.12/15.30 cnf(fact_norm__eq__zero-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u447) | ( _u448 != c_Groups_Ozero__class_Ozero(_u447)) | ( c_RealVector_Onorm__class_Onorm(_u447, _u448) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u451, _u452)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u449), hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), _u451)), hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), _u452))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__add__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__add__less-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u453) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, _u454), _u455) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, _u456), _u457) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, c_Groups_Oplus__class_Oplus(_u453, _u454, _u456)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u455, _u457)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u458) | ( c_RealVector_Onorm__class_Onorm(_u458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u458), _u459), _u460)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u458, _u459)), c_RealVector_Onorm__class_Onorm(_u458, _u460))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__not__less__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__not__less__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u461) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u461, _u462), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u463) | ( c_RealVector_Onorm__class_Onorm(_u463, c_Groups_Oone__class_Oone(_u463)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__power-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u464) | ( c_RealVector_Onorm__class_Onorm(_u464, hAPP(hAPP(c_Power_Opower__class_Opower(_u464), _u465), _u466)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u464, _u465)), _u466)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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), skolem3) )).
% 15.12/15.30 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, skolem3, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 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, skolem3, 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____))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Bseq__inverse__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Bseq__inverse__lemma-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u468) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u469, c_RealVector_Onorm__class_Onorm(_u468, _u470)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u469) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u468, c_Rings_Oinverse__class_Oinverse(_u468, _u470)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u469)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__ratiotest__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__ratiotest__lemma-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u471) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u472, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u471, _u473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u472), c_RealVector_Onorm__class_Onorm(_u471, _u474))) | ( _u473 = c_Groups_Ozero__class_Ozero(_u471)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__zeroE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u475, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__le__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__le__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u476) | ~c_Orderings_Oord__class_Oless(_u476, c_Groups_Ozero__class_Ozero(_u476), _u477) | ~c_Orderings_Oord__class_Oless__eq(_u476, _u477, c_Groups_Oone__class_Oone(_u476)) | c_Orderings_Oord__class_Oless__eq(_u476, c_Groups_Oone__class_Oone(_u476), c_Rings_Oinverse__class_Oinverse(_u476, _u477)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__less__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__less__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | ~c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | c_Orderings_Oord__class_Oless__eq(_u478, _u479, c_Groups_Ozero__class_Ozero(_u478)) | c_Orderings_Oord__class_Oless(_u478, c_Groups_Oone__class_Oone(_u478), _u479) )).
% 15.12/15.30 cnf(fact_inverse__less__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | ~c_Orderings_Oord__class_Oless__eq(_u478, _u479, c_Groups_Ozero__class_Ozero(_u478)) )).
% 15.12/15.30 cnf(fact_inverse__less__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | ~c_Orderings_Oord__class_Oless(_u478, c_Groups_Oone__class_Oone(_u478), _u479) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__le__inverse__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__le__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) | c_Orderings_Oord__class_Oless(_u480, c_Groups_Ozero__class_Ozero(_u480), _u481) )).
% 15.12/15.30 cnf(fact_one__le__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) | c_Orderings_Oord__class_Oless__eq(_u480, _u481, c_Groups_Oone__class_Oone(_u480)) )).
% 15.12/15.30 cnf(fact_one__le__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless(_u480, c_Groups_Ozero__class_Ozero(_u480), _u481) | ~c_Orderings_Oord__class_Oless__eq(_u480, _u481, c_Groups_Oone__class_Oone(_u480)) | c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__inverse__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__inverse__left-1, axiom, ( ( _u482 = 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, _u482)), _u482) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__inverse__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__inverse__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u483) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u484) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u484), _u485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u483), _u486)) | 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, _u483)), _u485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u484)), _u486)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__inverse__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__inverse__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u487) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u488) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u488), _u489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u487), _u490)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u489), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u487)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u490), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u488))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__le__cancel__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u493)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) )).
% 15.12/15.30 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), _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u493)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u494) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u495, _u495) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__square ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__square-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u496, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u496), _u496)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__cube-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u497, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u497), _u497))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u498), _u499) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u499), _u498)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u500, _u501) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u501, _u500) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 15.12/15.30 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), _u502), _u503)), _u504) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u503), _u504))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__imp__le-1, axiom, ( ( _u505 != _u506) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u505, _u506) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u507, _u508) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u507), _u509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u508), _u509)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u510, _u511) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u512), _u510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u512), _u511)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u513, _u514) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u514, _u515) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u513, _u515) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u516, _u517) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u517, _u516) | ( _u516 = _u517) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u518, _u519) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u520, _u521) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u518), _u520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u519), _u521)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__0__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u523, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_le__0__eq-2, axiom, ( ( _u524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u524, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 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), _u525) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__or__eq__imp__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u526, _u527) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u526, _u527) )).
% 15.12/15.30 cnf(fact_less__or__eq__imp__le-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u526, _u527) | ( _u526 != _u527) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__neq__implies__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u528, _u529) | ( _u528 = _u529) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u528, _u529) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__imp__le__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u530, _u531) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u530, _u531) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u534, _u536) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u534, _u536) | ( _u534 = _u536) )).
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u535, _u537) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u535, _u537) )).
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u535, _u537) | ( _u535 != _u537) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__less__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u540, _u542) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u540, _u542) )).
% 15.12/15.30 cnf(fact_nat__less__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u540, _u542) | ( _u540 != _u542) )).
% 15.12/15.30 cnf(fact_nat__less__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u541, _u543) | ( _u541 = _u543) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u541, _u543) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u544, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u545, _u544)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u546, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u546, _u547)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__Suc__ex__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__Suc__ex__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u552, _u554) | ( _u554 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u552, skolem4(_u554, _u552))) )).
% 15.12/15.30 cnf(fact_le__Suc__ex__iff-2, axiom, ( ( _u555 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u553, _u549)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u553, _u555) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__iff__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u560, _u562) | ( _u562 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u560, skolem5(_u562, _u560))) )).
% 15.12/15.30 cnf(fact_le__iff__add-2, axiom, ( ( _u563 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u561, _u557)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u561, _u563) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__cancel__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u569, _u571) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u567, _u569), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u567, _u571)) )).
% 15.12/15.30 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u570, _u572) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u568, _u570), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u568, _u572)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__le__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u573, _u574) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u573, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u574, _u575)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__le__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u576, _u577) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u576, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u578, _u577)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u579, _u580) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u579, _u581), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u580, _u581)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u582, _u583) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u584, _u585) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u582, _u584), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u583, _u585)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leD2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u587, _u588) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u586, _u587), _u588) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leD1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u589, _u590), _u591) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u589, _u591) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u592, _u593), _u594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u592, _u594) )).
% 15.12/15.30 cnf(fact_add__leE-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u592, _u593), _u594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u593, _u594) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u598), _u600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u602), _u600)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u600) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u598, _u602) )).
% 15.12/15.30 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), _u599), _u601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u603), _u601)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u601) )).
% 15.12/15.30 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), _u599), _u601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u603), _u601)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u599, _u603) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u607), _u609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u607), _u611)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u607) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u609, _u611) )).
% 15.12/15.30 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), _u608), _u610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u612)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u608) )).
% 15.12/15.30 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), _u608), _u610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u612)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u610, _u612) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u616), _u618) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u620), _u618)) | ( _u616 = _u620) | ( _u618 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u617), _u619) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u621), _u619)) | ( _u617 != _u621) )).
% 15.12/15.30 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u617), _u619) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u621), _u619)) | ( _u619 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u625), _u627) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u625), _u629)) | ( _u627 = _u629) | ( _u625 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u628) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u630)) | ( _u628 != _u630) )).
% 15.12/15.30 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u628) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u630)) | ( _u626 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u635) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u633 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u635 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u634), _u636) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u634 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u634), _u636) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u636 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u637), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u638) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__le__antisym ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u639, _u640) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u640, _u639) | ( _u639 = _u640) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__le__trans ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u641, _u642) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u642, _u643) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u641, _u643) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__add__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u644, _u645) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u646, _u644), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u646, _u645)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__le__linear ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u647, _u648) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u648, _u647) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__le__refl ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u649, _u649) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__less__cases-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u650, _u651) | ( _u650 = _u651) | hBOOL(hAPP(hAPP(_u652, _u651), _u650)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u651, _u650) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__not__refl3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u653, _u654) | ( _u653 != _u654) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__not__refl2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u655, _u656) | ( _u656 != _u655) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__irrefl__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u657, _u657) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u658 = _u659) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u658, _u659) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u659, _u658) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__neq__iff-1, axiom, ( ( _u662 = _u664) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u662, _u664) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u664, _u662) )).
% 15.12/15.30 cnf(fact_nat__neq__iff-2, axiom, ( ( _u663 != _u665) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u663, _u665) )).
% 15.12/15.30 cnf(fact_nat__neq__iff-3, axiom, ( ( _u663 != _u665) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u665, _u663) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__not__refl-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u666, _u666) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u667, _u668) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u668, _u667)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, _u671)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, _u671))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u672, _u673), _u674) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u672, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u673, _u674))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u680 = _u682) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u678, _u680) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u678, _u682)) )).
% 15.12/15.30 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u681 != _u683) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u681) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u683)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__right__cancel-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u687, _u689) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u691, _u689)) | ( _u687 = _u691) )).
% 15.12/15.30 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u688 != _u692) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u688, _u690) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u692, _u690)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u694, _u695)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), _u694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), _u695))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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, _u696, _u697)), _u698) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u696), _u698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u697), _u698))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u699), _u700) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u700), _u699)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__assoc ( axiom ) converted to clauses:
% 15.12/15.30 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), _u701), _u702)), _u703) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u702), _u703))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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, _u704, _u705)), _u706) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u704), _u706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u705), _u706))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 15.12/15.30 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)), _u707) = _u707) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 15.12/15.30 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), _u710), _u712)) | ( _u710 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 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), _u710), _u712)) | ( _u712 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u711 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u713 != 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), _u711), _u713)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u714), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u714) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u717), _u719) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u717 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u717), _u719) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u719 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u718 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u720 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u718), _u720) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_field__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_field__inverse__zero-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u721) | ( c_Rings_Oinverse__class_Oinverse(_u721, c_Groups_Ozero__class_Ozero(_u721)) = c_Groups_Ozero__class_Ozero(_u721)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_gr0I-1, axiom, ( ( _u722 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u722) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u723, _u724) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u725) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u725), _u723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u725), _u724)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u726, _u727) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u728) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u726), _u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u727), _u728)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_gr__implies__not0-1, axiom, ( ( _u730 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u729, _u730) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u734), _u736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u738), _u736)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u736) )).
% 15.12/15.30 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), _u734), _u736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u738), _u736)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u734, _u738) )).
% 15.12/15.30 cnf(fact_mult__less__cancel2-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u737) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u735, _u739) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u735), _u737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u739), _u737)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u743), _u745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u747)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u743) )).
% 15.12/15.30 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), _u743), _u745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u747)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u745, _u747) )).
% 15.12/15.30 cnf(fact_mult__less__cancel1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u744) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u746, _u748) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u744), _u746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u744), _u748)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__nat__zero__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 15.12/15.30 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), _u752), _u754)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u752) )).
% 15.12/15.30 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), _u752), _u754)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u754) )).
% 15.12/15.30 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), _u753) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u755) | 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), _u753), _u755)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neq0__conv-1, axiom, ( ( _u757 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u757) )).
% 15.12/15.30 cnf(fact_neq0__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u758) | ( _u758 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u759, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__less__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__less__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u762, _u764) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u762, _u764) )).
% 15.12/15.30 cnf(fact_real__less__def-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u762, _u764) | ( _u762 != _u764) )).
% 15.12/15.30 cnf(fact_real__less__def-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u763, _u765) | ( _u763 = _u765) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u763, _u765) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__real__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__eq__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u768, _u770) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u768, _u770) | ( _u768 = _u770) )).
% 15.12/15.30 cnf(fact_less__eq__real__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u769, _u771) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u769, _u771) )).
% 15.12/15.30 cnf(fact_less__eq__real__def-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u769, _u771) | ( _u769 != _u771) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u772) = _u772) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u773, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u773) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__is__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u778) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u776 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_add__is__0-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u778) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u778 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_add__is__0-3, axiom, ( ( _u777 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u779 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u777, _u779) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u781 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u780, _u781) != _u780) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__mult__distrib-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u782) | ( c_Rings_Oinverse__class_Oinverse(_u782, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), _u783), _u784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), c_Rings_Oinverse__class_Oinverse(_u782, _u783)), c_Rings_Oinverse__class_Oinverse(_u782, _u784))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__eq__1__iff-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u785) | ( c_Rings_Oinverse__class_Oinverse(_u785, _u786) != c_Groups_Oone__class_Oone(_u785)) | ( _u786 = c_Groups_Oone__class_Oone(_u785)) )).
% 15.12/15.30 cnf(fact_inverse__eq__1__iff-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u785) | ( _u786 != c_Groups_Oone__class_Oone(_u785)) | ( c_Rings_Oinverse__class_Oinverse(_u785, _u786) = c_Groups_Oone__class_Oone(_u785)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__add__less1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u787, _u788), _u787) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__add__less2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u789, _u790), _u790) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__cancel__less-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u796, _u798) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u794, _u796), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u794, _u798)) )).
% 15.12/15.30 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u797, _u799) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u795, _u797), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u795, _u799)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__less__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u800, _u801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u800, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u801, _u802)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__less__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u803, _u804) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u803, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u805, _u804)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u806, _u807) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u806, _u808), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u807, _u808)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u809, _u810) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u811, _u812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u809, _u811), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u810, _u812)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__add__eq__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u813, _u814) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u815, _u814) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u813, _u816)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u815, _u816) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__lessD1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u817, _u818), _u819) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u817, _u819) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__right__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__right__cancel-1, axiom, ( ( _u820 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u821), _u820) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u822), _u820)) | ( _u821 = _u822) )).
% 15.12/15.30 cnf(fact_real__mult__right__cancel-2, axiom, ( ( _u820 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u821 != _u822) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u821), _u820) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u822), _u820)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__left__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__left__cancel-1, axiom, ( ( _u823 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u824) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u825)) | ( _u824 = _u825) )).
% 15.12/15.30 cnf(fact_real__mult__left__cancel-2, axiom, ( ( _u823 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u824 != _u825) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u824) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u825)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__two__squares__add__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 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), _u828), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u830), _u830)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u828 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 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), _u828), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u830), _u830)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u830 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__two__squares__add__zero__iff-3, axiom, ( ( _u829 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u831 != 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), _u829), _u829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u831), _u831)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u832 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u832), _u833)) | ( _u833 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u832 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__zero__not__eq__one ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__1 ( axiom ) converted to clauses:
% 15.12/15.30 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)), _u834) = _u834) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_INVERSE__ZERO ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__nonpositive__iff__nonpositive ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__nonpositive__iff__nonpositive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u835) | ~c_Orderings_Oord__class_Oless__eq(_u835, c_Rings_Oinverse__class_Oinverse(_u835, _u836), c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless__eq(_u835, _u836, c_Groups_Ozero__class_Ozero(_u835)) )).
% 15.12/15.30 cnf(fact_inverse__nonpositive__iff__nonpositive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u835) | ~c_Orderings_Oord__class_Oless__eq(_u835, _u836, c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless__eq(_u835, c_Rings_Oinverse__class_Oinverse(_u835, _u836), c_Groups_Ozero__class_Ozero(_u835)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__nonnegative__iff__nonnegative ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__nonnegative__iff__nonnegative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u837) | ~c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), c_Rings_Oinverse__class_Oinverse(_u837, _u838)) | c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), _u838) )).
% 15.12/15.30 cnf(fact_inverse__nonnegative__iff__nonnegative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u837) | ~c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), _u838) | c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), c_Rings_Oinverse__class_Oinverse(_u837, _u838)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__positive__iff__positive ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__positive__iff__positive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u839) | ~c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), c_Rings_Oinverse__class_Oinverse(_u839, _u840)) | c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), _u840) )).
% 15.12/15.30 cnf(fact_inverse__positive__iff__positive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u839) | ~c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), _u840) | c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), c_Rings_Oinverse__class_Oinverse(_u839, _u840)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__negative__iff__negative ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__negative__iff__negative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u841) | ~c_Orderings_Oord__class_Oless(_u841, c_Rings_Oinverse__class_Oinverse(_u841, _u842), c_Groups_Ozero__class_Ozero(_u841)) | c_Orderings_Oord__class_Oless(_u841, _u842, c_Groups_Ozero__class_Ozero(_u841)) )).
% 15.12/15.30 cnf(fact_inverse__negative__iff__negative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u841) | ~c_Orderings_Oord__class_Oless(_u841, _u842, c_Groups_Ozero__class_Ozero(_u841)) | c_Orderings_Oord__class_Oless(_u841, c_Rings_Oinverse__class_Oinverse(_u841, _u842), c_Groups_Ozero__class_Ozero(_u841)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_positive__imp__inverse__positive ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_positive__imp__inverse__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u843) | ~c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), _u844) | c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), c_Rings_Oinverse__class_Oinverse(_u843, _u844)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__positive__imp__positive ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__positive__imp__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u845) | ~c_Orderings_Oord__class_Oless(_u845, c_Groups_Ozero__class_Ozero(_u845), c_Rings_Oinverse__class_Oinverse(_u845, _u846)) | ( _u846 = c_Groups_Ozero__class_Ozero(_u845)) | c_Orderings_Oord__class_Oless(_u845, c_Groups_Ozero__class_Ozero(_u845), _u846) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_negative__imp__inverse__negative ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_negative__imp__inverse__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u847) | ~c_Orderings_Oord__class_Oless(_u847, _u848, c_Groups_Ozero__class_Ozero(_u847)) | c_Orderings_Oord__class_Oless(_u847, c_Rings_Oinverse__class_Oinverse(_u847, _u848), c_Groups_Ozero__class_Ozero(_u847)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__imp__inverse__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__imp__inverse__less-1, axiom, ( ~class_Fields_Olinordered__field(_u849) | ~c_Orderings_Oord__class_Oless(_u849, _u850, _u851) | ~c_Orderings_Oord__class_Oless(_u849, c_Groups_Ozero__class_Ozero(_u849), _u850) | c_Orderings_Oord__class_Oless(_u849, c_Rings_Oinverse__class_Oinverse(_u849, _u851), c_Rings_Oinverse__class_Oinverse(_u849, _u850)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__imp__inverse__less__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__imp__inverse__less__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u852) | ~c_Orderings_Oord__class_Oless(_u852, _u853, _u854) | ~c_Orderings_Oord__class_Oless(_u852, _u854, c_Groups_Ozero__class_Ozero(_u852)) | c_Orderings_Oord__class_Oless(_u852, c_Rings_Oinverse__class_Oinverse(_u852, _u854), c_Rings_Oinverse__class_Oinverse(_u852, _u853)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__negative__imp__negative ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__negative__imp__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u855) | ~c_Orderings_Oord__class_Oless(_u855, c_Rings_Oinverse__class_Oinverse(_u855, _u856), c_Groups_Ozero__class_Ozero(_u855)) | ( _u856 = c_Groups_Ozero__class_Ozero(_u855)) | c_Orderings_Oord__class_Oless(_u855, _u856, c_Groups_Ozero__class_Ozero(_u855)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__less__imp__less-1, axiom, ( ~class_Fields_Olinordered__field(_u857) | ~c_Orderings_Oord__class_Oless(_u857, c_Rings_Oinverse__class_Oinverse(_u857, _u858), c_Rings_Oinverse__class_Oinverse(_u857, _u859)) | ~c_Orderings_Oord__class_Oless(_u857, c_Groups_Ozero__class_Ozero(_u857), _u858) | c_Orderings_Oord__class_Oless(_u857, _u859, _u858) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__less__imp__less__neg ( axiom ) converted to clauses:
% 15.12/15.30 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) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 15.12/15.30 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, _u865, _u867)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u865) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u867) )).
% 15.12/15.30 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, _u866, _u868)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u866) )).
% 15.12/15.30 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, _u866, _u868)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u868) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__less__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__less__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u869) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u870), _u869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u871), _u869)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u870, _u871) )).
% 15.12/15.30 cnf(fact_real__mult__less__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u869) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u870, _u871) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u870), _u869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u871), _u869)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__order ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__order-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u872) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u873) | 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), _u872), _u873)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__less__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u874) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u875, _u876) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u874), _u875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u874), _u876)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__imp__inverse__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__imp__inverse__le-1, axiom, ( ~class_Fields_Olinordered__field(_u877) | ~c_Orderings_Oord__class_Oless__eq(_u877, _u878, _u879) | ~c_Orderings_Oord__class_Oless(_u877, c_Groups_Ozero__class_Ozero(_u877), _u878) | c_Orderings_Oord__class_Oless__eq(_u877, c_Rings_Oinverse__class_Oinverse(_u877, _u879), c_Rings_Oinverse__class_Oinverse(_u877, _u878)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__imp__inverse__le__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__imp__inverse__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u880) | ~c_Orderings_Oord__class_Oless__eq(_u880, _u881, _u882) | ~c_Orderings_Oord__class_Oless(_u880, _u882, c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless__eq(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u882), c_Rings_Oinverse__class_Oinverse(_u880, _u881)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__le__imp__le-1, axiom, ( ~class_Fields_Olinordered__field(_u883) | ~c_Orderings_Oord__class_Oless__eq(_u883, c_Rings_Oinverse__class_Oinverse(_u883, _u884), c_Rings_Oinverse__class_Oinverse(_u883, _u885)) | ~c_Orderings_Oord__class_Oless(_u883, c_Groups_Ozero__class_Ozero(_u883), _u884) | c_Orderings_Oord__class_Oless__eq(_u883, _u885, _u884) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__le__imp__le__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__le__imp__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u886) | ~c_Orderings_Oord__class_Oless__eq(_u886, c_Rings_Oinverse__class_Oinverse(_u886, _u887), c_Rings_Oinverse__class_Oinverse(_u886, _u888)) | ~c_Orderings_Oord__class_Oless(_u886, _u888, c_Groups_Ozero__class_Ozero(_u886)) | c_Orderings_Oord__class_Oless__eq(_u886, _u888, _u887) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__le__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__le__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | ~c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | c_Orderings_Oord__class_Oless__eq(_u889, _u890, c_Groups_Ozero__class_Ozero(_u889)) | c_Orderings_Oord__class_Oless__eq(_u889, c_Groups_Oone__class_Oone(_u889), _u890) )).
% 15.12/15.30 cnf(fact_inverse__le__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | ~c_Orderings_Oord__class_Oless__eq(_u889, _u890, c_Groups_Ozero__class_Ozero(_u889)) )).
% 15.12/15.30 cnf(fact_inverse__le__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | ~c_Orderings_Oord__class_Oless__eq(_u889, c_Groups_Oone__class_Oone(_u889), _u890) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__add-1, axiom, ( ~class_Fields_Ofield(_u891) | ( _u892 = c_Groups_Ozero__class_Ozero(_u891)) | ( _u893 = c_Groups_Ozero__class_Ozero(_u891)) | ( c_Groups_Oplus__class_Oplus(_u891, c_Rings_Oinverse__class_Oinverse(_u891, _u892), c_Rings_Oinverse__class_Oinverse(_u891, _u893)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u891), c_Groups_Oplus__class_Oplus(_u891, _u892, _u893)), c_Rings_Oinverse__class_Oinverse(_u891, _u892))), c_Rings_Oinverse__class_Oinverse(_u891, _u893))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__less__inverse__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__less__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) | c_Orderings_Oord__class_Oless(_u894, c_Groups_Ozero__class_Ozero(_u894), _u895) )).
% 15.12/15.30 cnf(fact_one__less__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) | c_Orderings_Oord__class_Oless(_u894, _u895, c_Groups_Oone__class_Oone(_u894)) )).
% 15.12/15.30 cnf(fact_one__less__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Ozero__class_Ozero(_u894), _u895) | ~c_Orderings_Oord__class_Oless(_u894, _u895, c_Groups_Oone__class_Oone(_u894)) | c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__less__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__less__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u896) | ~c_Orderings_Oord__class_Oless(_u896, c_Groups_Ozero__class_Ozero(_u896), _u897) | ~c_Orderings_Oord__class_Oless(_u896, _u897, c_Groups_Oone__class_Oone(_u896)) | c_Orderings_Oord__class_Oless(_u896, c_Groups_Oone__class_Oone(_u896), c_Rings_Oinverse__class_Oinverse(_u896, _u897)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_field__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_field__inverse-1, axiom, ( ~class_Fields_Ofield(_u898) | ( _u899 = c_Groups_Ozero__class_Ozero(_u898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u898), c_Rings_Oinverse__class_Oinverse(_u898, _u899)), _u899) = c_Groups_Oone__class_Oone(_u898)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__mult__le__cancel__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u900) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u902), _u900)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u901, _u902) )).
% 15.12/15.30 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), _u900) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u901, _u902) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u902), _u900)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_wm1 ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_tw ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u904) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u906)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u905, _u906) )).
% 15.12/15.30 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u904) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u905, _u906) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u906)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u907) | ~c_Orderings_Oord__class_Oless(_u907, c_Groups_Ozero__class_Ozero(_u907), _u908) | ~c_Orderings_Oord__class_Oless__eq(_u907, c_Groups_Ozero__class_Ozero(_u907), _u909) | c_Orderings_Oord__class_Oless(_u907, c_Groups_Ozero__class_Ozero(_u907), c_Groups_Oplus__class_Oplus(_u907, _u908, _u909)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u910) | ~c_Orderings_Oord__class_Oless__eq(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u912) | c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), c_Groups_Oplus__class_Oplus(_u910, _u911, _u912)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u913) | ~c_Orderings_Oord__class_Oless(_u913, c_Groups_Ozero__class_Ozero(_u913), _u914) | ~c_Orderings_Oord__class_Oless__eq(_u913, _u915, _u916) | c_Orderings_Oord__class_Oless(_u913, _u915, c_Groups_Oplus__class_Oplus(_u913, _u914, _u916)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u917) | ( c_Groups_Ominus__class_Ominus(_u917, c_Groups_Ozero__class_Ozero(_u917), _u918) = c_Groups_Ouminus__class_Ouminus(_u917, _u918)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u919) | ( c_Groups_Ominus__class_Ominus(_u919, _u920, _u921) = c_Groups_Oplus__class_Oplus(_u919, _u920, c_Groups_Ouminus__class_Ouminus(_u919, _u921))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u922) | ( c_Groups_Ominus__class_Ominus(_u922, _u923, _u924) = c_Groups_Oplus__class_Oplus(_u922, _u923, c_Groups_Ouminus__class_Ouminus(_u922, _u924))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u925) | ( c_Groups_Ominus__class_Ominus(_u925, _u926, c_Groups_Ouminus__class_Ouminus(_u925, _u927)) = c_Groups_Oplus__class_Oplus(_u925, _u926, _u927)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u928) | ( c_Groups_Ominus__class_Ominus(_u928, _u929, c_Groups_Ozero__class_Ozero(_u928)) = _u929) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u930) | ( c_Groups_Ominus__class_Ominus(_u930, _u931, _u931) = c_Groups_Ozero__class_Ozero(_u930)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u932) | ( _u933 != _u934) | ( c_Groups_Ominus__class_Ominus(_u932, _u933, _u934) = c_Groups_Ozero__class_Ozero(_u932)) )).
% 15.12/15.30 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u932) | ( c_Groups_Ominus__class_Ominus(_u932, _u933, _u934) != c_Groups_Ozero__class_Ozero(_u932)) | ( _u933 = _u934) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u935) | ( c_Groups_Ominus__class_Ominus(_u935, _u936, _u937) != c_Groups_Ozero__class_Ozero(_u935)) | ( _u936 = _u937) )).
% 15.12/15.30 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u935) | ( _u936 != _u937) | ( c_Groups_Ominus__class_Ominus(_u935, _u936, _u937) = c_Groups_Ozero__class_Ozero(_u935)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u938) | ( c_Groups_Ouminus__class_Ouminus(_u938, c_Groups_Ozero__class_Ozero(_u938)) = c_Groups_Ozero__class_Ozero(_u938)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u939) | ( c_Groups_Ozero__class_Ozero(_u939) != c_Groups_Ouminus__class_Ouminus(_u939, _u940)) | ( c_Groups_Ozero__class_Ozero(_u939) = _u940) )).
% 15.12/15.30 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u939) | ( c_Groups_Ozero__class_Ozero(_u939) != _u940) | ( c_Groups_Ozero__class_Ozero(_u939) = c_Groups_Ouminus__class_Ouminus(_u939, _u940)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u941) | ( _u942 != c_Groups_Ouminus__class_Ouminus(_u941, _u942)) | ( _u942 = c_Groups_Ozero__class_Ozero(_u941)) )).
% 15.12/15.30 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u941) | ( _u942 != c_Groups_Ozero__class_Ozero(_u941)) | ( _u942 = c_Groups_Ouminus__class_Ouminus(_u941, _u942)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u943) | ( c_Groups_Ouminus__class_Ouminus(_u943, _u944) != c_Groups_Ozero__class_Ozero(_u943)) | ( _u944 = c_Groups_Ozero__class_Ozero(_u943)) )).
% 15.12/15.30 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u943) | ( _u944 != c_Groups_Ozero__class_Ozero(_u943)) | ( c_Groups_Ouminus__class_Ouminus(_u943, _u944) = c_Groups_Ozero__class_Ozero(_u943)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u945) | ( c_Groups_Ouminus__class_Ouminus(_u945, _u946) != _u946) | ( _u946 = c_Groups_Ozero__class_Ozero(_u945)) )).
% 15.12/15.30 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u945) | ( _u946 != c_Groups_Ozero__class_Ozero(_u945)) | ( c_Groups_Ouminus__class_Ouminus(_u945, _u946) = _u946) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u947) | ( c_Groups_Ominus__class_Ominus(_u947, _u948, _u949) != c_Groups_Ominus__class_Ominus(_u947, _u950, _u951)) | ~c_Orderings_Oord__class_Oless__eq(_u947, _u948, _u949) | c_Orderings_Oord__class_Oless__eq(_u947, _u950, _u951) )).
% 15.12/15.30 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u947) | ( c_Groups_Ominus__class_Ominus(_u947, _u948, _u949) != c_Groups_Ominus__class_Ominus(_u947, _u950, _u951)) | ~c_Orderings_Oord__class_Oless__eq(_u947, _u950, _u951) | c_Orderings_Oord__class_Oless__eq(_u947, _u948, _u949) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u952) | ~c_Orderings_Oord__class_Oless__eq(_u952, _u953, _u954) | c_Orderings_Oord__class_Oless__eq(_u952, c_Groups_Ouminus__class_Ouminus(_u952, _u954), c_Groups_Ouminus__class_Ouminus(_u952, _u953)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u955) | ~c_Orderings_Oord__class_Oless__eq(_u955, c_Groups_Ouminus__class_Ouminus(_u955, _u956), c_Groups_Ouminus__class_Ouminus(_u955, _u957)) | c_Orderings_Oord__class_Oless__eq(_u955, _u957, _u956) )).
% 15.12/15.30 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u955) | ~c_Orderings_Oord__class_Oless__eq(_u955, _u957, _u956) | c_Orderings_Oord__class_Oless__eq(_u955, c_Groups_Ouminus__class_Ouminus(_u955, _u956), c_Groups_Ouminus__class_Ouminus(_u955, _u957)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u959), _u960) | c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u960), _u959) )).
% 15.12/15.30 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u960), _u959) | c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u959), _u960) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u961) | ~c_Orderings_Oord__class_Oless__eq(_u961, _u962, c_Groups_Ouminus__class_Ouminus(_u961, _u963)) | c_Orderings_Oord__class_Oless__eq(_u961, _u963, c_Groups_Ouminus__class_Ouminus(_u961, _u962)) )).
% 15.12/15.30 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u961) | ~c_Orderings_Oord__class_Oless__eq(_u961, _u963, c_Groups_Ouminus__class_Ouminus(_u961, _u962)) | c_Orderings_Oord__class_Oless__eq(_u961, _u962, c_Groups_Ouminus__class_Ouminus(_u961, _u963)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u964) | ( c_Groups_Ominus__class_Ominus(_u964, _u965, _u966) != c_Groups_Ominus__class_Ominus(_u964, _u967, _u968)) | ~c_Orderings_Oord__class_Oless(_u964, _u965, _u966) | c_Orderings_Oord__class_Oless(_u964, _u967, _u968) )).
% 15.12/15.30 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u964) | ( c_Groups_Ominus__class_Ominus(_u964, _u965, _u966) != c_Groups_Ominus__class_Ominus(_u964, _u967, _u968)) | ~c_Orderings_Oord__class_Oless(_u964, _u967, _u968) | c_Orderings_Oord__class_Oless(_u964, _u965, _u966) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u969) | ~c_Orderings_Oord__class_Oless(_u969, _u970, c_Groups_Ouminus__class_Ouminus(_u969, _u971)) | c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ouminus__class_Ouminus(_u969, _u970)) )).
% 15.12/15.30 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u969) | ~c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ouminus__class_Ouminus(_u969, _u970)) | c_Orderings_Oord__class_Oless(_u969, _u970, c_Groups_Ouminus__class_Ouminus(_u969, _u971)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u972) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u973), _u974) | c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u974), _u973) )).
% 15.12/15.30 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u972) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u974), _u973) | c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u973), _u974) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u975) | ~c_Orderings_Oord__class_Oless(_u975, c_Groups_Ouminus__class_Ouminus(_u975, _u976), c_Groups_Ouminus__class_Ouminus(_u975, _u977)) | c_Orderings_Oord__class_Oless(_u975, _u977, _u976) )).
% 15.12/15.30 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u975) | ~c_Orderings_Oord__class_Oless(_u975, _u977, _u976) | c_Orderings_Oord__class_Oless(_u975, c_Groups_Ouminus__class_Ouminus(_u975, _u976), c_Groups_Ouminus__class_Ouminus(_u975, _u977)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u978) | ( c_Groups_Oplus__class_Oplus(_u978, c_Groups_Ominus__class_Ominus(_u978, _u979, _u980), _u980) = _u979) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u981) | ( c_Groups_Ominus__class_Ominus(_u981, c_Groups_Oplus__class_Oplus(_u981, _u982, _u983), _u983) = _u982) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u984) | ( c_Groups_Ouminus__class_Ouminus(_u984, c_Groups_Oplus__class_Oplus(_u984, _u985, _u986)) = c_Groups_Oplus__class_Oplus(_u984, c_Groups_Ouminus__class_Ouminus(_u984, _u985), c_Groups_Ouminus__class_Ouminus(_u984, _u986))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u987) | ( c_Groups_Ouminus__class_Ouminus(_u987, c_Groups_Oplus__class_Oplus(_u987, _u988, _u989)) = c_Groups_Oplus__class_Oplus(_u987, c_Groups_Ouminus__class_Ouminus(_u987, _u989), c_Groups_Ouminus__class_Ouminus(_u987, _u988))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u990) | ( c_Groups_Oplus__class_Oplus(_u990, _u991, c_Groups_Oplus__class_Oplus(_u990, c_Groups_Ouminus__class_Ouminus(_u990, _u991), _u992)) = _u992) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u993) | ( c_Groups_Oplus__class_Oplus(_u993, c_Groups_Ouminus__class_Ouminus(_u993, _u994), c_Groups_Oplus__class_Oplus(_u993, _u994, _u995)) = _u995) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u996) | ( c_Groups_Ouminus__class_Ouminus(_u996, c_Groups_Ouminus__class_Ouminus(_u996, _u997)) = _u997) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u998) | ( c_Groups_Ouminus__class_Ouminus(_u998, c_Groups_Ominus__class_Ominus(_u998, _u999, _u1000)) = c_Groups_Ominus__class_Ominus(_u998, _u1000, _u999)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1001) | ( _u1002 != c_Groups_Ouminus__class_Ouminus(_u1001, _u1003)) | ( _u1003 = c_Groups_Ouminus__class_Ouminus(_u1001, _u1002)) )).
% 15.12/15.30 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1001) | ( _u1003 != c_Groups_Ouminus__class_Ouminus(_u1001, _u1002)) | ( _u1002 = c_Groups_Ouminus__class_Ouminus(_u1001, _u1003)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1004) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1005) != _u1006) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1006) = _u1005) )).
% 15.12/15.30 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1004) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1006) != _u1005) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1005) = _u1006) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1007) | ( c_Groups_Ouminus__class_Ouminus(_u1007, _u1008) != c_Groups_Ouminus__class_Ouminus(_u1007, _u1009)) | ( _u1008 = _u1009) )).
% 15.12/15.30 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1007) | ( _u1008 != _u1009) | ( c_Groups_Ouminus__class_Ouminus(_u1007, _u1008) = c_Groups_Ouminus__class_Ouminus(_u1007, _u1009)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1010) | ( c_Groups_Ominus__class_Ominus(_u1010, _u1011, _u1012) != c_Groups_Ominus__class_Ominus(_u1010, _u1013, _u1014)) | ( _u1011 != _u1012) | ( _u1013 = _u1014) )).
% 15.12/15.30 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1010) | ( c_Groups_Ominus__class_Ominus(_u1010, _u1011, _u1012) != c_Groups_Ominus__class_Ominus(_u1010, _u1013, _u1014)) | ( _u1013 != _u1014) | ( _u1011 = _u1012) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__eq__iff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1015) | ( c_RealVector_Oof__real(_u1015, _u1016) != c_RealVector_Oof__real(_u1015, _u1017)) | ( _u1016 = _u1017) )).
% 15.12/15.30 cnf(fact_of__real__eq__iff-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1015) | ( _u1016 != _u1017) | ( c_RealVector_Oof__real(_u1015, _u1016) = c_RealVector_Oof__real(_u1015, _u1017)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real_Odiff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real_Odiff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1018) | ~class_RealVector_Oreal__normed__vector(_u1018) | ( c_RealVector_Oof__real(_u1018, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1019, _u1020)) = c_Groups_Ominus__class_Ominus(_u1018, c_RealVector_Oof__real(_u1018, _u1019), c_RealVector_Oof__real(_u1018, _u1020))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__diff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__diff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1021) | ( c_RealVector_Oof__real(_u1021, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1022, _u1023)) = c_Groups_Ominus__class_Ominus(_u1021, c_RealVector_Oof__real(_u1021, _u1022), c_RealVector_Oof__real(_u1021, _u1023))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real_Ominus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real_Ominus-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1024) | ~class_RealVector_Oreal__normed__vector(_u1024) | ( c_RealVector_Oof__real(_u1024, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1025)) = c_Groups_Ouminus__class_Ouminus(_u1024, c_RealVector_Oof__real(_u1024, _u1025))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__minus-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1026) | ( c_RealVector_Oof__real(_u1026, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1027)) = c_Groups_Ouminus__class_Ouminus(_u1026, c_RealVector_Oof__real(_u1026, _u1027))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__triangle__ineq2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__triangle__ineq2-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1028) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1028, _u1029), c_RealVector_Onorm__class_Onorm(_u1028, _u1030)), c_RealVector_Onorm__class_Onorm(_u1028, c_Groups_Ominus__class_Ominus(_u1028, _u1029, _u1030))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left_Odiff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1031) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), c_Groups_Ominus__class_Ominus(_u1031, _u1032, _u1033)), _u1034) = c_Groups_Ominus__class_Ominus(_u1031, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), _u1032), _u1034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), _u1033), _u1034))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Odiff__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Odiff__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1035) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), c_Groups_Ominus__class_Ominus(_u1035, _u1036, _u1037)), _u1038) = c_Groups_Ominus__class_Ominus(_u1035, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), _u1036), _u1038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), _u1037), _u1038))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right_Odiff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right_Odiff-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), c_Groups_Ominus__class_Ominus(_u1039, _u1041, _u1042)) = c_Groups_Ominus__class_Ominus(_u1039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), _u1041), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), _u1042))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Odiff__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Odiff__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1043) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), c_Groups_Ominus__class_Ominus(_u1043, _u1045, _u1046)) = c_Groups_Ominus__class_Ominus(_u1043, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), _u1045), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), _u1046))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 = _u1049) | ( _u1048 = c_Groups_Ouminus__class_Ouminus(_u1047, _u1049)) )).
% 15.12/15.30 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 != _u1049) )).
% 15.12/15.30 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 != c_Groups_Ouminus__class_Ouminus(_u1047, _u1049)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1050) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1050), c_Groups_Ouminus__class_Ouminus(_u1050, _u1051)), c_Groups_Ouminus__class_Ouminus(_u1050, _u1052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1050), _u1051), _u1052)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1053), c_Groups_Ouminus__class_Ouminus(_u1053, _u1054)), _u1055) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1053), _u1054), c_Groups_Ouminus__class_Ouminus(_u1053, _u1055))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__left_Ominus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__left_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1056) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1056), c_Groups_Ouminus__class_Ouminus(_u1056, _u1057)), _u1058) = c_Groups_Ouminus__class_Ouminus(_u1056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1056), _u1057), _u1058))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Ominus__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Ominus__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1059) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1059), c_Groups_Ouminus__class_Ouminus(_u1059, _u1060)), _u1061) = c_Groups_Ouminus__class_Ouminus(_u1059, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1059), _u1060), _u1061))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__right_Ominus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__right_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1062), _u1063), c_Groups_Ouminus__class_Ouminus(_u1062, _u1064)) = c_Groups_Ouminus__class_Ouminus(_u1062, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1062), _u1063), _u1064))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Ominus__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Ominus__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1065) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1065), _u1066), c_Groups_Ouminus__class_Ouminus(_u1065, _u1067)) = c_Groups_Ouminus__class_Ouminus(_u1065, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1065), _u1066), _u1067))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1068) | ( c_Groups_Ouminus__class_Ouminus(_u1068, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1068), _u1069), _u1070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1068), c_Groups_Ouminus__class_Ouminus(_u1068, _u1069)), _u1070)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1071) | ( c_Groups_Ouminus__class_Ouminus(_u1071, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1071), _u1072), _u1073)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1071), _u1072), c_Groups_Ouminus__class_Ouminus(_u1071, _u1073))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__minus__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__minus__commute-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1074) | ( c_RealVector_Onorm__class_Onorm(_u1074, c_Groups_Ominus__class_Ominus(_u1074, _u1075, _u1076)) = c_RealVector_Onorm__class_Onorm(_u1074, c_Groups_Ominus__class_Ominus(_u1074, _u1076, _u1075))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__minus__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__minus__cancel-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1077) | ( c_RealVector_Onorm__class_Onorm(_u1077, c_Groups_Ouminus__class_Ouminus(_u1077, _u1078)) = c_RealVector_Onorm__class_Onorm(_u1077, _u1078)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__minus__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u1079) | ( c_Rings_Oinverse__class_Oinverse(_u1079, c_Groups_Ouminus__class_Ouminus(_u1079, _u1080)) = c_Groups_Ouminus__class_Ouminus(_u1079, c_Rings_Oinverse__class_Oinverse(_u1079, _u1080))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1081) | ~c_Orderings_Oord__class_Oless__eq(_u1081, _u1082, _u1083) | c_Orderings_Oord__class_Oless__eq(_u1081, c_Groups_Ominus__class_Ominus(_u1081, _u1082, _u1083), c_Groups_Ozero__class_Ozero(_u1081)) )).
% 15.12/15.30 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1081) | ~c_Orderings_Oord__class_Oless__eq(_u1081, c_Groups_Ominus__class_Ominus(_u1081, _u1082, _u1083), c_Groups_Ozero__class_Ozero(_u1081)) | c_Orderings_Oord__class_Oless__eq(_u1081, _u1082, _u1083) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1084) | ~c_Orderings_Oord__class_Oless(_u1084, _u1085, _u1086) | c_Orderings_Oord__class_Oless(_u1084, c_Groups_Ominus__class_Ominus(_u1084, _u1085, _u1086), c_Groups_Ozero__class_Ozero(_u1084)) )).
% 15.12/15.30 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1084) | ~c_Orderings_Oord__class_Oless(_u1084, c_Groups_Ominus__class_Ominus(_u1084, _u1085, _u1086), c_Groups_Ozero__class_Ozero(_u1084)) | c_Orderings_Oord__class_Oless(_u1084, _u1085, _u1086) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1087) | ~c_Orderings_Oord__class_Oless__eq(_u1087, c_Groups_Ozero__class_Ozero(_u1087), c_Groups_Ouminus__class_Ouminus(_u1087, _u1088)) | c_Orderings_Oord__class_Oless__eq(_u1087, _u1088, c_Groups_Ozero__class_Ozero(_u1087)) )).
% 15.12/15.30 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1087) | ~c_Orderings_Oord__class_Oless__eq(_u1087, _u1088, c_Groups_Ozero__class_Ozero(_u1087)) | c_Orderings_Oord__class_Oless__eq(_u1087, c_Groups_Ozero__class_Ozero(_u1087), c_Groups_Ouminus__class_Ouminus(_u1087, _u1088)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ouminus__class_Ouminus(_u1089, _u1090)) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ozero__class_Ozero(_u1089)) )).
% 15.12/15.30 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ozero__class_Ozero(_u1089)) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ouminus__class_Ouminus(_u1089, _u1090)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ouminus__class_Ouminus(_u1091, _u1092), c_Groups_Ozero__class_Ozero(_u1091)) | c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ozero__class_Ozero(_u1091), _u1092) )).
% 15.12/15.30 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ozero__class_Ozero(_u1091), _u1092) | c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ouminus__class_Ouminus(_u1091, _u1092), c_Groups_Ozero__class_Ozero(_u1091)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ouminus__class_Ouminus(_u1093, _u1094), _u1094) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ozero__class_Ozero(_u1093), _u1094) )).
% 15.12/15.30 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ozero__class_Ozero(_u1093), _u1094) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ouminus__class_Ouminus(_u1093, _u1094), _u1094) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1095) | ~c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ouminus__class_Ouminus(_u1095, _u1096), _u1096) | c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ozero__class_Ozero(_u1095), _u1096) )).
% 15.12/15.30 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1095) | ~c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ozero__class_Ozero(_u1095), _u1096) | c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ouminus__class_Ouminus(_u1095, _u1096), _u1096) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1097) | ~c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ouminus__class_Ouminus(_u1097, _u1098), c_Groups_Ozero__class_Ozero(_u1097)) | c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ozero__class_Ozero(_u1097), _u1098) )).
% 15.12/15.30 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1097) | ~c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ozero__class_Ozero(_u1097), _u1098) | c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ouminus__class_Ouminus(_u1097, _u1098), c_Groups_Ozero__class_Ozero(_u1097)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1099) | ~c_Orderings_Oord__class_Oless(_u1099, c_Groups_Ozero__class_Ozero(_u1099), c_Groups_Ouminus__class_Ouminus(_u1099, _u1100)) | c_Orderings_Oord__class_Oless(_u1099, _u1100, c_Groups_Ozero__class_Ozero(_u1099)) )).
% 15.12/15.30 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1099) | ~c_Orderings_Oord__class_Oless(_u1099, _u1100, c_Groups_Ozero__class_Ozero(_u1099)) | c_Orderings_Oord__class_Oless(_u1099, c_Groups_Ozero__class_Ozero(_u1099), c_Groups_Ouminus__class_Ouminus(_u1099, _u1100)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u1101) | ( c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103) != c_Groups_Ozero__class_Ozero(_u1101)) | ( c_Groups_Ouminus__class_Ouminus(_u1101, _u1102) = _u1103) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1104) | ( c_Groups_Oplus__class_Oplus(_u1104, c_Groups_Ouminus__class_Ouminus(_u1104, _u1105), _u1105) = c_Groups_Ozero__class_Ozero(_u1104)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1106) | ( c_Groups_Oplus__class_Oplus(_u1106, c_Groups_Ouminus__class_Ouminus(_u1106, _u1107), _u1107) = c_Groups_Ozero__class_Ozero(_u1106)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1108) | ( _u1109 != c_Groups_Ouminus__class_Ouminus(_u1108, _u1110)) | ( c_Groups_Oplus__class_Oplus(_u1108, _u1109, _u1110) = c_Groups_Ozero__class_Ozero(_u1108)) )).
% 15.12/15.30 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u1108) | ( c_Groups_Oplus__class_Oplus(_u1108, _u1109, _u1110) != c_Groups_Ozero__class_Ozero(_u1108)) | ( _u1109 = c_Groups_Ouminus__class_Ouminus(_u1108, _u1110)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1111) | ( c_Groups_Oplus__class_Oplus(_u1111, _u1112, c_Groups_Ouminus__class_Ouminus(_u1111, _u1112)) = c_Groups_Ozero__class_Ozero(_u1111)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ouminus__class_Ouminus(_u1113, _u1114)) | c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ozero__class_Ozero(_u1113)) )).
% 15.12/15.30 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ozero__class_Ozero(_u1113)) | c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ouminus__class_Ouminus(_u1113, _u1114)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__eq__0__iff-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1115) | ( c_RealVector_Oof__real(_u1115, _u1116) != c_Groups_Ozero__class_Ozero(_u1115)) | ( _u1116 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_of__real__eq__0__iff-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1115) | ( _u1116 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1115, _u1116) = c_Groups_Ozero__class_Ozero(_u1115)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real_Ozero-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1117) | ~class_RealVector_Oreal__normed__vector(_u1117) | ( c_RealVector_Oof__real(_u1117, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1117)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__0-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1118) | ( c_RealVector_Oof__real(_u1118, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1118)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__eq__0__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1119) | ( c_Groups_Oplus__class_Oplus(_u1119, _u1120, _u1121) != c_Groups_Ozero__class_Ozero(_u1119)) | ( _u1121 = c_Groups_Ouminus__class_Ouminus(_u1119, _u1120)) )).
% 15.12/15.30 cnf(fact_add__eq__0__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1119) | ( _u1121 != c_Groups_Ouminus__class_Ouminus(_u1119, _u1120)) | ( c_Groups_Oplus__class_Oplus(_u1119, _u1120, _u1121) = c_Groups_Ozero__class_Ozero(_u1119)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u1122) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1123), _u1124), _u1125) != c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1126), _u1124), _u1127)) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), c_Groups_Ominus__class_Ominus(_u1122, _u1123, _u1126)), _u1124), _u1125) = _u1127) )).
% 15.12/15.30 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u1122) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), c_Groups_Ominus__class_Ominus(_u1122, _u1123, _u1126)), _u1124), _u1125) != _u1127) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1123), _u1124), _u1125) = c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1126), _u1124), _u1127)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u1128) | ( c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1129), _u1130), _u1131) != c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1132), _u1130), _u1133)) | ( _u1131 = c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), c_Groups_Ominus__class_Ominus(_u1128, _u1132, _u1129)), _u1130), _u1133)) )).
% 15.12/15.30 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u1128) | ( _u1131 != c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), c_Groups_Ominus__class_Ominus(_u1128, _u1132, _u1129)), _u1130), _u1133)) | ( c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1129), _u1130), _u1131) = c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1132), _u1130), _u1133)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Oprod__diff__prod ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Oprod__diff__prod-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1134) | ( c_Groups_Ominus__class_Ominus(_u1134, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1135), _u1136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1137), _u1138)) = c_Groups_Oplus__class_Oplus(_u1134, c_Groups_Oplus__class_Oplus(_u1134, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), c_Groups_Ominus__class_Ominus(_u1134, _u1135, _u1137)), c_Groups_Ominus__class_Ominus(_u1134, _u1136, _u1138)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), c_Groups_Ominus__class_Ominus(_u1134, _u1135, _u1137)), _u1138)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1137), c_Groups_Ominus__class_Ominus(_u1134, _u1136, _u1138)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__diff__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__diff__mult-1, axiom, ( ~class_Rings_Oring(_u1139) | ( c_Groups_Ominus__class_Ominus(_u1139, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1140), _u1141), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1142), _u1143)) = c_Groups_Oplus__class_Oplus(_u1139, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1140), c_Groups_Ominus__class_Ominus(_u1139, _u1141, _u1143)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), c_Groups_Ominus__class_Ominus(_u1139, _u1140, _u1142)), _u1143))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) != c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 = c_Groups_Ouminus__class_Ouminus(_u1144, c_Groups_Oone__class_Oone(_u1144))) )).
% 15.12/15.30 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 != c_Groups_Oone__class_Oone(_u1144)) )).
% 15.12/15.30 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 != c_Groups_Ouminus__class_Ouminus(_u1144, c_Groups_Oone__class_Oone(_u1144))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__mult-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1146) | ( c_RealVector_Oof__real(_u1146, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1147), _u1148)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1146), c_RealVector_Oof__real(_u1146, _u1147)), c_RealVector_Oof__real(_u1146, _u1148))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real_Oadd ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real_Oadd-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1149) | ~class_RealVector_Oreal__normed__vector(_u1149) | ( c_RealVector_Oof__real(_u1149, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1150, _u1151)) = c_Groups_Oplus__class_Oplus(_u1149, c_RealVector_Oof__real(_u1149, _u1150), c_RealVector_Oof__real(_u1149, _u1151))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__add-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1152) | ( c_RealVector_Oof__real(_u1152, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1153, _u1154)) = c_Groups_Oplus__class_Oplus(_u1152, c_RealVector_Oof__real(_u1152, _u1153), c_RealVector_Oof__real(_u1152, _u1154))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__1-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1155) | ( c_RealVector_Oof__real(_u1155, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(_u1155)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__inverse__minus__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u1156) | ( _u1157 = c_Groups_Ozero__class_Ozero(_u1156)) | ( c_Rings_Oinverse__class_Oinverse(_u1156, c_Groups_Ouminus__class_Ouminus(_u1156, _u1157)) = c_Groups_Ouminus__class_Ouminus(_u1156, c_Rings_Oinverse__class_Oinverse(_u1156, _u1157))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__power-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1158) | ( c_RealVector_Oof__real(_u1158, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1159), _u1160)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1158), c_RealVector_Oof__real(_u1158, _u1159)), _u1160)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real__inverse-1, axiom, ( ~class_RealVector_Oreal__div__algebra(_u1161) | ~class_Rings_Odivision__ring__inverse__zero(_u1161) | ( c_RealVector_Oof__real(_u1161, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1162)) = c_Rings_Oinverse__class_Oinverse(_u1161, c_RealVector_Oof__real(_u1161, _u1162))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__of__real__power ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1163)), _u1164) = c_RealVector_Oof__real(tc_Complex_Ocomplex, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1163), _u1164))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1166), _u1167), _u1168), c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1169), _u1167), _u1170)) | c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), c_Groups_Ominus__class_Ominus(_u1165, _u1166, _u1169)), _u1167), _u1168), _u1170) )).
% 15.12/15.30 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), c_Groups_Ominus__class_Ominus(_u1165, _u1166, _u1169)), _u1167), _u1168), _u1170) | c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1166), _u1167), _u1168), c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1169), _u1167), _u1170)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1172), _u1173), _u1174), c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1175), _u1173), _u1176)) | c_Orderings_Oord__class_Oless__eq(_u1171, _u1174, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), c_Groups_Ominus__class_Ominus(_u1171, _u1175, _u1172)), _u1173), _u1176)) )).
% 15.12/15.30 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, _u1174, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), c_Groups_Ominus__class_Ominus(_u1171, _u1175, _u1172)), _u1173), _u1176)) | c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1172), _u1173), _u1174), c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1175), _u1173), _u1176)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u1177) | ~c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1178), _u1179), _u1180), c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1181), _u1179), _u1182)) | c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), c_Groups_Ominus__class_Ominus(_u1177, _u1178, _u1181)), _u1179), _u1180), _u1182) )).
% 15.12/15.30 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u1177) | ~c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), c_Groups_Ominus__class_Ominus(_u1177, _u1178, _u1181)), _u1179), _u1180), _u1182) | c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1178), _u1179), _u1180), c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1181), _u1179), _u1182)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u1183) | ~c_Orderings_Oord__class_Oless(_u1183, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1184), _u1185), _u1186), c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1187), _u1185), _u1188)) | c_Orderings_Oord__class_Oless(_u1183, _u1186, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), c_Groups_Ominus__class_Ominus(_u1183, _u1187, _u1184)), _u1185), _u1188)) )).
% 15.12/15.30 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u1183) | ~c_Orderings_Oord__class_Oless(_u1183, _u1186, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), c_Groups_Ominus__class_Ominus(_u1183, _u1187, _u1184)), _u1185), _u1188)) | c_Orderings_Oord__class_Oless(_u1183, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1184), _u1185), _u1186), c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1187), _u1185), _u1188)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__squared__diff__one__factored ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__squared__diff__one__factored-1, axiom, ( ~class_Rings_Oring__1(_u1189) | ( c_Groups_Ominus__class_Ominus(_u1189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1189), _u1190), _u1190), c_Groups_Oone__class_Oone(_u1189)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1189), c_Groups_Oplus__class_Oplus(_u1189, _u1190, c_Groups_Oone__class_Oone(_u1189))), c_Groups_Ominus__class_Ominus(_u1189, _u1190, c_Groups_Oone__class_Oone(_u1189)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_division__ring__inverse__diff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_division__ring__inverse__diff-1, axiom, ( ~class_Rings_Odivision__ring(_u1191) | ( _u1192 = c_Groups_Ozero__class_Ozero(_u1191)) | ( _u1193 = c_Groups_Ozero__class_Ozero(_u1191)) | ( c_Groups_Ominus__class_Ominus(_u1191, c_Rings_Oinverse__class_Oinverse(_u1191, _u1192), c_Rings_Oinverse__class_Oinverse(_u1191, _u1193)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1191), c_Rings_Oinverse__class_Oinverse(_u1191, _u1192)), c_Groups_Ominus__class_Ominus(_u1191, _u1193, _u1192))), c_Rings_Oinverse__class_Oinverse(_u1191, _u1193))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u1194) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), c_Groups_Ouminus__class_Ouminus(_u1194, _u1195)), _u1196) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1194), hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), c_Groups_Ouminus__class_Ouminus(_u1194, c_Groups_Oone__class_Oone(_u1194))), _u1196)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), _u1195), _u1196))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__triangle__ineq4 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__triangle__ineq4-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1197) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1197, c_Groups_Ominus__class_Ominus(_u1197, _u1198, _u1199)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1197, _u1198), c_RealVector_Onorm__class_Onorm(_u1197, _u1199))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__of__real__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__of__real__inverse-1, axiom, ( ~class_RealVector_Oreal__div__algebra(_u1200) | ( _u1201 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1200, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1201)) = c_Rings_Oinverse__class_Oinverse(_u1200, c_RealVector_Oof__real(_u1200, _u1201))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u1202) | ( c_Groups_Ozero__class_Ozero(_u1202) != _u1203) | ( _u1203 = c_Groups_Ozero__class_Ozero(_u1202)) )).
% 15.12/15.30 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u1202) | ( _u1203 != c_Groups_Ozero__class_Ozero(_u1202)) | ( c_Groups_Ozero__class_Ozero(_u1202) = _u1203) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1205), _u1206)), _u1207) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1206), _u1207))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1208) | ( c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210) != c_Groups_Oplus__class_Oplus(_u1208, _u1211, _u1210)) | ( _u1209 = _u1211) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1212) | ( c_Groups_Oplus__class_Oplus(_u1212, _u1213, _u1214) != c_Groups_Oplus__class_Oplus(_u1212, _u1213, _u1215)) | ( _u1214 = _u1215) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1216) | ( c_Groups_Oplus__class_Oplus(_u1216, _u1217, _u1218) != c_Groups_Oplus__class_Oplus(_u1216, _u1217, _u1219)) | ( _u1218 = _u1219) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1220) | ( c_Groups_Oplus__class_Oplus(_u1220, _u1221, _u1222) != c_Groups_Oplus__class_Oplus(_u1220, _u1223, _u1222)) | ( _u1221 = _u1223) )).
% 15.12/15.30 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1220) | ( _u1221 != _u1223) | ( c_Groups_Oplus__class_Oplus(_u1220, _u1221, _u1222) = c_Groups_Oplus__class_Oplus(_u1220, _u1223, _u1222)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1224) | ( c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1226) != c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1227)) | ( _u1226 = _u1227) )).
% 15.12/15.30 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u1224) | ( _u1226 != _u1227) | ( c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1226) = c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1227)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u1228) | ( c_Groups_Oplus__class_Oplus(_u1228, c_Groups_Oplus__class_Oplus(_u1228, _u1229, _u1230), _u1231) = c_Groups_Oplus__class_Oplus(_u1228, _u1229, c_Groups_Oplus__class_Oplus(_u1228, _u1230, _u1231))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u1232) | ( c_Groups_Oone__class_Oone(_u1232) != _u1233) | ( _u1233 = c_Groups_Oone__class_Oone(_u1232)) )).
% 15.12/15.30 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u1232) | ( _u1233 != c_Groups_Oone__class_Oone(_u1232)) | ( c_Groups_Oone__class_Oone(_u1232) = _u1233) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__diff__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__diff__triangle__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1234) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, c_Groups_Oplus__class_Oplus(_u1234, _u1235, _u1236), c_Groups_Oplus__class_Oplus(_u1234, _u1237, _u1238))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, _u1235, _u1237)), c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, _u1236, _u1238)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1239) | ( c_Groups_Oplus__class_Oplus(_u1239, _u1240, c_Groups_Ozero__class_Ozero(_u1239)) = _u1240) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u1241) | ( c_Groups_Oplus__class_Oplus(_u1241, _u1242, c_Groups_Ozero__class_Ozero(_u1241)) = _u1242) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1243) | ( c_Groups_Ozero__class_Ozero(_u1243) != c_Groups_Oplus__class_Oplus(_u1243, _u1244, _u1244)) | ( _u1244 = c_Groups_Ozero__class_Ozero(_u1243)) )).
% 15.12/15.30 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1243) | ( _u1244 != c_Groups_Ozero__class_Ozero(_u1243)) | ( c_Groups_Ozero__class_Ozero(_u1243) = c_Groups_Oplus__class_Oplus(_u1243, _u1244, _u1244)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u1245) | ( c_Groups_Oplus__class_Oplus(_u1245, c_Groups_Ozero__class_Ozero(_u1245), _u1246) = _u1246) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u1247) | ( c_Groups_Oplus__class_Oplus(_u1247, c_Groups_Ozero__class_Ozero(_u1247), _u1248) = _u1248) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1249) | ~c_Orderings_Oord__class_Oless__eq(_u1249, c_Groups_Oplus__class_Oplus(_u1249, _u1250, _u1251), c_Groups_Oplus__class_Oplus(_u1249, _u1250, _u1252)) | c_Orderings_Oord__class_Oless__eq(_u1249, _u1251, _u1252) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1253, c_Groups_Oplus__class_Oplus(_u1253, _u1254, _u1255), c_Groups_Oplus__class_Oplus(_u1253, _u1256, _u1255)) | c_Orderings_Oord__class_Oless__eq(_u1253, _u1254, _u1256) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1257, _u1258, _u1259) | ~c_Orderings_Oord__class_Oless__eq(_u1257, _u1260, _u1261) | c_Orderings_Oord__class_Oless__eq(_u1257, c_Groups_Oplus__class_Oplus(_u1257, _u1258, _u1260), c_Groups_Oplus__class_Oplus(_u1257, _u1259, _u1261)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1262, _u1263, _u1264) | c_Orderings_Oord__class_Oless__eq(_u1262, c_Groups_Oplus__class_Oplus(_u1262, _u1265, _u1263), c_Groups_Oplus__class_Oplus(_u1262, _u1265, _u1264)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1266, _u1267, _u1268) | c_Orderings_Oord__class_Oless__eq(_u1266, c_Groups_Oplus__class_Oplus(_u1266, _u1267, _u1269), c_Groups_Oplus__class_Oplus(_u1266, _u1268, _u1269)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1270) | ~c_Orderings_Oord__class_Oless__eq(_u1270, c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1272), c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1273)) | c_Orderings_Oord__class_Oless__eq(_u1270, _u1272, _u1273) )).
% 15.12/15.30 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1270) | ~c_Orderings_Oord__class_Oless__eq(_u1270, _u1272, _u1273) | c_Orderings_Oord__class_Oless__eq(_u1270, c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1272), c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1273)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1274) | ~c_Orderings_Oord__class_Oless__eq(_u1274, c_Groups_Oplus__class_Oplus(_u1274, _u1275, _u1276), c_Groups_Oplus__class_Oplus(_u1274, _u1277, _u1276)) | c_Orderings_Oord__class_Oless__eq(_u1274, _u1275, _u1277) )).
% 15.12/15.30 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1274) | ~c_Orderings_Oord__class_Oless__eq(_u1274, _u1275, _u1277) | c_Orderings_Oord__class_Oless__eq(_u1274, c_Groups_Oplus__class_Oplus(_u1274, _u1275, _u1276), c_Groups_Oplus__class_Oplus(_u1274, _u1277, _u1276)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1278) | ~c_Orderings_Oord__class_Oless(_u1278, c_Groups_Oplus__class_Oplus(_u1278, _u1279, _u1280), c_Groups_Oplus__class_Oplus(_u1278, _u1279, _u1281)) | c_Orderings_Oord__class_Oless(_u1278, _u1280, _u1281) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1282) | ~c_Orderings_Oord__class_Oless(_u1282, c_Groups_Oplus__class_Oplus(_u1282, _u1283, _u1284), c_Groups_Oplus__class_Oplus(_u1282, _u1285, _u1284)) | c_Orderings_Oord__class_Oless(_u1282, _u1283, _u1285) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1286) | ~c_Orderings_Oord__class_Oless(_u1286, _u1287, _u1288) | ~c_Orderings_Oord__class_Oless(_u1286, _u1289, _u1290) | c_Orderings_Oord__class_Oless(_u1286, c_Groups_Oplus__class_Oplus(_u1286, _u1287, _u1289), c_Groups_Oplus__class_Oplus(_u1286, _u1288, _u1290)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1291) | ~c_Orderings_Oord__class_Oless(_u1291, _u1292, _u1293) | c_Orderings_Oord__class_Oless(_u1291, c_Groups_Oplus__class_Oplus(_u1291, _u1294, _u1292), c_Groups_Oplus__class_Oplus(_u1291, _u1294, _u1293)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1295) | ~c_Orderings_Oord__class_Oless(_u1295, _u1296, _u1297) | c_Orderings_Oord__class_Oless(_u1295, c_Groups_Oplus__class_Oplus(_u1295, _u1296, _u1298), c_Groups_Oplus__class_Oplus(_u1295, _u1297, _u1298)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1299) | ~c_Orderings_Oord__class_Oless(_u1299, c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1301), c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1302)) | c_Orderings_Oord__class_Oless(_u1299, _u1301, _u1302) )).
% 15.12/15.30 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1299) | ~c_Orderings_Oord__class_Oless(_u1299, _u1301, _u1302) | c_Orderings_Oord__class_Oless(_u1299, c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1301), c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1302)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1303) | ~c_Orderings_Oord__class_Oless(_u1303, c_Groups_Oplus__class_Oplus(_u1303, _u1304, _u1305), c_Groups_Oplus__class_Oplus(_u1303, _u1306, _u1305)) | c_Orderings_Oord__class_Oless(_u1303, _u1304, _u1306) )).
% 15.12/15.30 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1303) | ~c_Orderings_Oord__class_Oless(_u1303, _u1304, _u1306) | c_Orderings_Oord__class_Oless(_u1303, c_Groups_Oplus__class_Oplus(_u1303, _u1304, _u1305), c_Groups_Oplus__class_Oplus(_u1303, _u1306, _u1305)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1307) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1307), _u1308), c_Groups_Oone__class_Oone(_u1307)) = _u1308) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1309), _u1310), c_Groups_Oone__class_Oone(_u1309)) = _u1310) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1311) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1311), c_Groups_Oone__class_Oone(_u1311)), _u1312) = _u1312) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1313) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1313), c_Groups_Oone__class_Oone(_u1313)), _u1314) = _u1314) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1318), _u1320) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1318), _u1322)) | ( _u1318 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1320 = _u1322) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1321) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1323)) | ( _u1319 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1321) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1323)) | ( _u1321 != _u1323) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1324), _u1325), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1326), _u1325), _u1327)) = 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, _u1324, _u1326)), _u1325), _u1327)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1328) | ~c_Orderings_Oord__class_Oless__eq(_u1328, _u1329, c_Groups_Ozero__class_Ozero(_u1328)) | ~c_Orderings_Oord__class_Oless__eq(_u1328, _u1330, c_Groups_Ozero__class_Ozero(_u1328)) | c_Orderings_Oord__class_Oless__eq(_u1328, c_Groups_Oplus__class_Oplus(_u1328, _u1329, _u1330), c_Groups_Ozero__class_Ozero(_u1328)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1331) | ~c_Orderings_Oord__class_Oless__eq(_u1331, c_Groups_Ozero__class_Ozero(_u1331), _u1332) | ~c_Orderings_Oord__class_Oless__eq(_u1331, _u1333, _u1334) | c_Orderings_Oord__class_Oless__eq(_u1331, _u1333, c_Groups_Oplus__class_Oplus(_u1331, _u1334, _u1332)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1335) | ~c_Orderings_Oord__class_Oless__eq(_u1335, c_Groups_Ozero__class_Ozero(_u1335), _u1336) | ~c_Orderings_Oord__class_Oless__eq(_u1335, _u1337, _u1338) | c_Orderings_Oord__class_Oless__eq(_u1335, _u1337, c_Groups_Oplus__class_Oplus(_u1335, _u1336, _u1338)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1340 = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.30 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1341 = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.30 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( _u1340 != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1341 != c_Groups_Ozero__class_Ozero(_u1339)) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1342) | ~c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), _u1343) | ~c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), _u1344) | c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Groups_Oplus__class_Oplus(_u1342, _u1343, _u1344)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1345) | ~c_Orderings_Oord__class_Oless__eq(_u1345, c_Groups_Oplus__class_Oplus(_u1345, _u1346, _u1346), c_Groups_Ozero__class_Ozero(_u1345)) | c_Orderings_Oord__class_Oless__eq(_u1345, _u1346, c_Groups_Ozero__class_Ozero(_u1345)) )).
% 15.12/15.30 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1345) | ~c_Orderings_Oord__class_Oless__eq(_u1345, _u1346, c_Groups_Ozero__class_Ozero(_u1345)) | c_Orderings_Oord__class_Oless__eq(_u1345, c_Groups_Oplus__class_Oplus(_u1345, _u1346, _u1346), c_Groups_Ozero__class_Ozero(_u1345)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1347) | ~c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), c_Groups_Oplus__class_Oplus(_u1347, _u1348, _u1348)) | c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), _u1348) )).
% 15.12/15.30 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1347) | ~c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), _u1348) | c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), c_Groups_Oplus__class_Oplus(_u1347, _u1348, _u1348)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1349) | ~c_Orderings_Oord__class_Oless(_u1349, _u1350, c_Groups_Ozero__class_Ozero(_u1349)) | ~c_Orderings_Oord__class_Oless(_u1349, _u1351, c_Groups_Ozero__class_Ozero(_u1349)) | c_Orderings_Oord__class_Oless(_u1349, c_Groups_Oplus__class_Oplus(_u1349, _u1350, _u1351), c_Groups_Ozero__class_Ozero(_u1349)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1352) | ~c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), _u1353) | ~c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), _u1354) | c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), c_Groups_Oplus__class_Oplus(_u1352, _u1353, _u1354)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1355) | ~c_Orderings_Oord__class_Oless(_u1355, c_Groups_Oplus__class_Oplus(_u1355, _u1356, _u1356), c_Groups_Ozero__class_Ozero(_u1355)) | c_Orderings_Oord__class_Oless(_u1355, _u1356, c_Groups_Ozero__class_Ozero(_u1355)) )).
% 15.12/15.30 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1355) | ~c_Orderings_Oord__class_Oless(_u1355, _u1356, c_Groups_Ozero__class_Ozero(_u1355)) | c_Orderings_Oord__class_Oless(_u1355, c_Groups_Oplus__class_Oplus(_u1355, _u1356, _u1356), c_Groups_Ozero__class_Ozero(_u1355)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1357) | ~c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), c_Groups_Oplus__class_Oplus(_u1357, _u1358, _u1358)) | c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), _u1358) )).
% 15.12/15.30 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1357) | ~c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), _u1358) | c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), c_Groups_Oplus__class_Oplus(_u1357, _u1358, _u1358)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1359) | ~c_Orderings_Oord__class_Oless__eq(_u1359, _u1360, _u1361) | ~c_Orderings_Oord__class_Oless(_u1359, _u1362, _u1363) | c_Orderings_Oord__class_Oless(_u1359, c_Groups_Oplus__class_Oplus(_u1359, _u1360, _u1362), c_Groups_Oplus__class_Oplus(_u1359, _u1361, _u1363)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1364) | ~c_Orderings_Oord__class_Oless(_u1364, _u1365, _u1366) | ~c_Orderings_Oord__class_Oless__eq(_u1364, _u1367, _u1368) | c_Orderings_Oord__class_Oless(_u1364, c_Groups_Oplus__class_Oplus(_u1364, _u1365, _u1367), c_Groups_Oplus__class_Oplus(_u1364, _u1366, _u1368)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1369) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1370) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1371)) | ( _u1370 = _u1371) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1369) | ( _u1370 != _u1371) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1370) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1371)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1374)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1373, _u1374) )).
% 15.12/15.30 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1373, _u1374) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1374)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1375) | ~c_Orderings_Oord__class_Oless__eq(_u1375, _u1376, c_Groups_Ozero__class_Ozero(_u1375)) | ~c_Orderings_Oord__class_Oless(_u1375, _u1377, c_Groups_Ozero__class_Ozero(_u1375)) | c_Orderings_Oord__class_Oless(_u1375, c_Groups_Oplus__class_Oplus(_u1375, _u1376, _u1377), c_Groups_Ozero__class_Ozero(_u1375)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1378) | ~c_Orderings_Oord__class_Oless(_u1378, _u1379, c_Groups_Ozero__class_Ozero(_u1378)) | ~c_Orderings_Oord__class_Oless__eq(_u1378, _u1380, c_Groups_Ozero__class_Ozero(_u1378)) | c_Orderings_Oord__class_Oless(_u1378, c_Groups_Oplus__class_Oplus(_u1378, _u1379, _u1380), c_Groups_Ozero__class_Ozero(_u1378)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1381) | ~c_Orderings_Oord__class_Oless__eq(_u1381, c_Groups_Ozero__class_Ozero(_u1381), _u1382) | ~c_Orderings_Oord__class_Oless(_u1381, _u1383, _u1384) | c_Orderings_Oord__class_Oless(_u1381, _u1383, c_Groups_Oplus__class_Oplus(_u1381, _u1382, _u1384)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Deriv_Oinverse__diff__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Deriv_Oinverse__diff__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u1385) | ( _u1386 = c_Groups_Ozero__class_Ozero(_u1385)) | ( _u1387 = c_Groups_Ozero__class_Ozero(_u1385)) | ( c_Groups_Ominus__class_Ominus(_u1385, c_Rings_Oinverse__class_Oinverse(_u1385, _u1386), c_Rings_Oinverse__class_Oinverse(_u1385, _u1387)) = c_Groups_Ouminus__class_Ouminus(_u1385, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1385), c_Rings_Oinverse__class_Oinverse(_u1385, _u1386)), c_Groups_Ominus__class_Ominus(_u1385, _u1386, _u1387))), c_Rings_Oinverse__class_Oinverse(_u1385, _u1387)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__diff__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_complex__diff__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u1388, _u1389) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u1388, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1389))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_reduce__poly__simple ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_reduce__poly__simple-1, axiom, ( ( _u1391 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u1392 = 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), _u1391), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem7(_u1392, _u1391)), _u1392)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power__nat__eq ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1395), _u1397)) | ( _u1397 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1395) )).
% 15.12/15.30 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), _u1396), _u1398)) | ( _u1398 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 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), _u1396), _u1398)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1396) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__real__square__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1400), _u1400)) | ( _u1400 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_not__real__square__gt__zero-2, axiom, ( ( _u1401 != 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), _u1401), _u1401)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1402) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1402), hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), _u1404)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), _u1405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1404, _u1405))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__diff__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__diff__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1406, _u1407) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1406, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1407))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__real__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__real__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1408, _u1409) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1408, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1409))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diffs0__imp__equal-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1410, _u1411) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1411, _u1410) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1410 = _u1411) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__self__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1412, _u1412) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1413, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1413) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__0__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1414) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1415, _u1416) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1415, _u1417) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1417, _u1416), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1417, _u1415)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__imp__diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1418, _u1419) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1418, _u1420), _u1419) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__inverse2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1421, _u1422), _u1422) = _u1421) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__inverse-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1423, _u1424), _u1423) = _u1424) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__diff__left-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, _u1426), _u1427) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, _u1427))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__cancel-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1428, _u1429), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1428, _u1430)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1429, _u1430)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__cancel2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1431, _u1432), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1433, _u1432)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1431, _u1433)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__le__self-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1434, _u1435), _u1434) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1436, _u1437) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1438, _u1437), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1438, _u1436)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1439, _u1440) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1439, _u1441), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1440, _u1441)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__diff__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1442, _u1443) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1443, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1443, _u1442)) = _u1442) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1445) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1446) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1445, _u1444) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1444)) | ( _u1445 = _u1446) )).
% 15.12/15.30 cnf(fact_eq__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1445) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1446) | ( _u1445 != _u1446) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1445, _u1444) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1444)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, _u1448) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, _u1449) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1448, _u1447), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1449, _u1447)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1448, _u1449)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1451) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1452) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1451, _u1450), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1452, _u1450)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1451, _u1452) )).
% 15.12/15.30 cnf(fact_le__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1451) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1452) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1451, _u1452) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1451, _u1450), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1452, _u1450)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1454, _u1455)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), _u1454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), _u1455))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1456, _u1457)), _u1458) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1456), _u1458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1457), _u1458))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__mod__minus__le__complex__mod ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1459)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1459)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__le__eq__diff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__le__eq__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1462, _u1464) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1462, _u1464), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 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, _u1463, _u1465), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1463, _u1465) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1466) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1467) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1467, _u1466), _u1467) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1470, _u1472)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1472, _u1470) )).
% 15.12/15.30 cnf(fact_zero__less__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1473, _u1471) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1471, _u1473)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__minus__mult__self__le ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1474), _u1474)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1475), _u1475)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1476, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1476, _u1477)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__is__0__eq-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1480, _u1482) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1480, _u1482) )).
% 15.12/15.30 cnf(fact_diff__is__0__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1481, _u1483) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1481, _u1483) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1484, _u1485) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1484, _u1485) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__diff__inverse-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1486, _u1487) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1487, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1486, _u1487)) = _u1486) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1491, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1493, _u1495)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1491, _u1495), _u1493) )).
% 15.12/15.30 cnf(fact_less__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1492, _u1496), _u1494) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1492, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1494, _u1496)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1497, _u1498) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1499, _u1497) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1497, _u1499), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1498, _u1499)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1501) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1502) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1501, _u1500), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1502, _u1500)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1501, _u1502) )).
% 15.12/15.30 cnf(fact_less__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1501) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1502) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1501, _u1502) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1501, _u1500), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1502, _u1500)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__minus__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__add__minus__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1505, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1507)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1505 = _u1507) )).
% 15.12/15.30 cnf(fact_real__add__minus__iff-2, axiom, ( ( _u1506 != _u1508) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1506, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1508)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__add__eq__0__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1511, _u1513) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1513 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1511)) )).
% 15.12/15.30 cnf(fact_real__add__eq__0__iff-2, axiom, ( ( _u1514 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1512)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1512, _u1514) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__diff__right-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1515, _u1516) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1517, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1516, _u1515)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1517, _u1515), _u1516)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1521, _u1523), _u1525) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1525, _u1523)) )).
% 15.12/15.30 cnf(fact_le__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1522, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1526, _u1524)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1524), _u1526) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1527, _u1528) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1529, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1528, _u1529), _u1527)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add__diff__inverse-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1530, _u1531) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1530, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1531, _u1530)) = _u1531) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__diff__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1532, _u1533) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1534, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1533, _u1532)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1534, _u1533), _u1532)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__diff__conv2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1535, _u1536) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1537, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1536, _u1535)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1537, _u1535), _u1536) )).
% 15.12/15.30 cnf(fact_le__diff__conv2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1535, _u1536) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1537, _u1535), _u1536) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1537, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1536, _u1535)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1538, _u1539) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1539, _u1538), _u1538) = _u1539) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1540, _u1541) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1540) != _u1542) | ( _u1541 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1542, _u1540)) )).
% 15.12/15.30 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1540, _u1541) | ( _u1541 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1542, _u1540)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1540) = _u1542) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1543, _u1544) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1545, _u1544), _u1543) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1545, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1544, _u1543))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__diff__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1547, _u1548), _u1546)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__add__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1549, _u1550) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1550, _u1551), _u1549) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1550, _u1549), _u1551)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__mod__triangle__ineq2 ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1552, _u1553)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1552)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1553)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__diff__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__diff__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1554) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1554, _u1555), c_RealVector_Onorm__class_Onorm(_u1554, _u1556)), c_RealVector_Onorm__class_Onorm(_u1554, c_Groups_Oplus__class_Oplus(_u1554, _u1555, _u1556))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u1562, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1564, _u1566))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1564, _u1566) | hBOOL(hAPP(_u1562, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.12/15.30 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u1562, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1564, _u1566))) | ( _u1564 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1566, _u1557)) | hBOOL(hAPP(_u1562, _u1557)) )).
% 15.12/15.30 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1565, _u1567) | ( _u1565 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1567, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.30 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1565, _u1567) | ~hBOOL(hAPP(_u1563, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.30 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | ~hBOOL(hAPP(_u1563, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1565 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1567, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.30 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | ~hBOOL(hAPP(_u1563, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1563, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u1573, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1577))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1575, _u1577) | hBOOL(hAPP(_u1573, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.12/15.30 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u1573, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1577))) | ( _u1575 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1577, _u1568)) | hBOOL(hAPP(_u1573, _u1568)) )).
% 15.12/15.30 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1576, _u1578) | ( _u1576 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1578, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.30 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1576, _u1578) | ~hBOOL(hAPP(_u1574, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.30 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | ~hBOOL(hAPP(_u1574, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1576 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1578, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.30 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | ~hBOOL(hAPP(_u1574, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1574, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1581, _u1583), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1583, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1581)) )).
% 15.12/15.30 cnf(fact_real__add__le__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1584, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1582)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1582, _u1584), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__0__le__add__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1587, _u1589)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1587), _u1589) )).
% 15.12/15.30 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, _u1588), _u1590) | 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, _u1588, _u1590)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__0__less__add__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1593, _u1595)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1593), _u1595) )).
% 15.12/15.30 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, _u1594), _u1596) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1594, _u1596)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__add__less__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1599, _u1601), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1601, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1599)) )).
% 15.12/15.30 cnf(fact_real__add__less__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1602, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1600)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1600, _u1602), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1603, _u1604) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1603), _u1605), _u1606) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1604), _u1605), _u1607)) | ( _u1606 = 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, _u1604, _u1603)), _u1605), _u1607)) )).
% 15.12/15.30 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1603, _u1604) | ( _u1606 != 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, _u1604, _u1603)), _u1605), _u1607)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1603), _u1605), _u1606) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1604), _u1605), _u1607)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1608, _u1609) | ( 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), _u1608), _u1610), _u1611), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1609), _u1610), _u1612)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1611, 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, _u1609, _u1608)), _u1610), _u1612))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__le__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1614) | ~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), _u1613), _u1615), _u1616), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1614), _u1615), _u1617)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1616, 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, _u1614, _u1613)), _u1615), _u1617)) )).
% 15.12/15.30 cnf(fact_nat__le__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1614) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1616, 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, _u1614, _u1613)), _u1615), _u1617)) | 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), _u1613), _u1615), _u1616), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1614), _u1615), _u1617)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1618, _u1619) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), _u1620), _u1621) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1618), _u1620), _u1622)) | ( 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, _u1619, _u1618)), _u1620), _u1621) = _u1622) )).
% 15.12/15.30 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1618, _u1619) | ( 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, _u1619, _u1618)), _u1620), _u1621) != _u1622) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), _u1620), _u1621) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1618), _u1620), _u1622)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1623, _u1624) | ( 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), _u1624), _u1625), _u1626), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1623), _u1625), _u1627)) = 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, _u1624, _u1623)), _u1625), _u1626), _u1627)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__le__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | ~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), _u1629), _u1630), _u1631), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), _u1632)) | 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, _u1629, _u1628)), _u1630), _u1631), _u1632) )).
% 15.12/15.30 cnf(fact_nat__le__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | ~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, _u1629, _u1628)), _u1630), _u1631), _u1632) | 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), _u1629), _u1630), _u1631), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), _u1632)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1633) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1633), _u1634), _u1635) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1633), _u1635), _u1634)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1636) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1637), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1638), _u1639)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1637), _u1639))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1640) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1642), _u1643)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1641), _u1642)), _u1643)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1644) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1645), _u1646)), _u1647) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1646), _u1647))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), _u1649), _u1650)), _u1651) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), _u1649), _u1651)), _u1650)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1652) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1653), _u1654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1655), _u1656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1654), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1655), _u1656)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1657) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), _u1661)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1659)), _u1661))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1662) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1663), _u1664)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1665), _u1666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1663), _u1665)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1664), _u1666))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1667) | ( c_Groups_Oplus__class_Oplus(_u1667, _u1668, _u1669) = c_Groups_Oplus__class_Oplus(_u1667, _u1669, _u1668)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1670) | ( c_Groups_Oplus__class_Oplus(_u1670, _u1671, c_Groups_Oplus__class_Oplus(_u1670, _u1672, _u1673)) = c_Groups_Oplus__class_Oplus(_u1670, _u1672, c_Groups_Oplus__class_Oplus(_u1670, _u1671, _u1673))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1674) | ( c_Groups_Oplus__class_Oplus(_u1674, _u1675, c_Groups_Oplus__class_Oplus(_u1674, _u1676, _u1677)) = c_Groups_Oplus__class_Oplus(_u1674, c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676), _u1677)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1678) | ( c_Groups_Oplus__class_Oplus(_u1678, c_Groups_Oplus__class_Oplus(_u1678, _u1679, _u1680), _u1681) = c_Groups_Oplus__class_Oplus(_u1678, _u1679, c_Groups_Oplus__class_Oplus(_u1678, _u1680, _u1681))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1682) | ( c_Groups_Oplus__class_Oplus(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1684), _u1685) = c_Groups_Oplus__class_Oplus(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1685), _u1684)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1686) | ( c_Groups_Oplus__class_Oplus(_u1686, c_Groups_Oplus__class_Oplus(_u1686, _u1687, _u1688), c_Groups_Oplus__class_Oplus(_u1686, _u1689, _u1690)) = c_Groups_Oplus__class_Oplus(_u1686, c_Groups_Oplus__class_Oplus(_u1686, _u1687, _u1689), c_Groups_Oplus__class_Oplus(_u1686, _u1688, _u1690))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__of__real__minus__one ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__less__add__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1691, _u1692) | ~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), _u1692), _u1693), _u1694), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1691), _u1693), _u1695)) | 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, _u1692, _u1691)), _u1693), _u1694), _u1695) )).
% 15.12/15.30 cnf(fact_nat__less__add__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1691, _u1692) | ~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, _u1692, _u1691)), _u1693), _u1694), _u1695) | 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), _u1692), _u1693), _u1694), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1691), _u1693), _u1695)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__less__add__iff2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1696, _u1697) | ~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), _u1696), _u1698), _u1699), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1697), _u1698), _u1700)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1699, 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, _u1697, _u1696)), _u1698), _u1700)) )).
% 15.12/15.30 cnf(fact_nat__less__add__iff2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1696, _u1697) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1699, 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, _u1697, _u1696)), _u1698), _u1700)) | 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), _u1696), _u1698), _u1699), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1697), _u1698), _u1700)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__eq__if-1, axiom, ( ( _u1703 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1703), _u1705) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__eq__if-2, axiom, ( ( _u1704 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1704), _u1706) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1706, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1704, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1706))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__eq__if-1, axiom, ( ( _u1709 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1711), _u1709) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_power__eq__if-2, axiom, ( ( _u1710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1712), _u1710) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1712), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1712), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1710, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_realpow__num__eq__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_realpow__num__eq__if-1, axiom, ( ~class_Power_Opower(_u1713) | ( _u1714 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), _u1714) = c_Groups_Oone__class_Oone(_u1713)) )).
% 15.12/15.30 cnf(fact_realpow__num__eq__if-2, axiom, ( ~class_Power_Opower(_u1713) | ( _u1714 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), _u1714) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1713), _u1715), hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1714, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_realpow__minus__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_realpow__minus__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u1716) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1717) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1716), hAPP(hAPP(c_Power_Opower__class_Opower(_u1716), _u1718), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u1718) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1716), _u1718), _u1717)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1719) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1719), c_Groups_Ozero__class_Ozero(_u1719)), _u1720) = c_Groups_Ozero__class_Ozero(_u1719)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1721) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1721), _u1722), c_Groups_Ozero__class_Ozero(_u1721)) = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1723) | ( c_Groups_Oplus__class_Oplus(_u1723, c_Groups_Ozero__class_Ozero(_u1723), _u1724) = _u1724) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1725) | ( c_Groups_Oplus__class_Oplus(_u1725, _u1726, c_Groups_Ozero__class_Ozero(_u1725)) = _u1726) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1727) | ( _u1728 != c_Groups_Oplus__class_Oplus(_u1727, _u1728, _u1729)) | ( _u1729 = c_Groups_Ozero__class_Ozero(_u1727)) )).
% 15.12/15.30 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1727) | ( _u1729 != c_Groups_Ozero__class_Ozero(_u1727)) | ( _u1728 = c_Groups_Oplus__class_Oplus(_u1727, _u1728, _u1729)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1730) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), c_Groups_Oplus__class_Oplus(_u1730, _u1732, _u1733)) = c_Groups_Oplus__class_Oplus(_u1730, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), _u1732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), _u1733))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( _u1735 = _u1736) | ( _u1737 = _u1738) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) != c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) )).
% 15.12/15.30 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) = c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) | ( _u1735 != _u1736) )).
% 15.12/15.30 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) = c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) | ( _u1737 != _u1738) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1739) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), c_Groups_Oplus__class_Oplus(_u1739, _u1740, _u1741)), _u1742) = c_Groups_Oplus__class_Oplus(_u1739, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), _u1740), _u1742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), _u1741), _u1742))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1743) | ( c_Groups_Oplus__class_Oplus(_u1743, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), _u1744), _u1745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), _u1746), _u1745)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), c_Groups_Oplus__class_Oplus(_u1743, _u1744, _u1746)), _u1745)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) != c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1748 = _u1750) | ( _u1749 = _u1751) )).
% 15.12/15.30 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) = c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1748 != _u1750) )).
% 15.12/15.30 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) = c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1749 != _u1751) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1752) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1752), c_Groups_Oone__class_Oone(_u1752)), _u1753) = _u1753) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), c_Groups_Oone__class_Oone(_u1754)) = _u1755) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Deriv_Oadd__diff__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Deriv_Oadd__diff__add-1, axiom, ( ~class_Groups_Oab__group__add(_u1756) | ( c_Groups_Ominus__class_Ominus(_u1756, c_Groups_Oplus__class_Oplus(_u1756, _u1757, _u1758), c_Groups_Oplus__class_Oplus(_u1756, _u1759, _u1760)) = c_Groups_Oplus__class_Oplus(_u1756, c_Groups_Ominus__class_Ominus(_u1756, _u1757, _u1759), c_Groups_Ominus__class_Ominus(_u1756, _u1758, _u1760))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1761) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1761), _u1762), _u1763)), _u1764) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1761), hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), _u1762), _u1764)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), _u1763), _u1764))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1765) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), _u1766), _u1767)), _u1768) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), _u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1767), _u1768))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1769) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1769), _u1770), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1770) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1771) | ( _u1772 = c_Groups_Ozero__class_Ozero(_u1771)) | ( _u1773 != _u1774) | ( _u1775 = _u1776) | ( c_Groups_Oplus__class_Oplus(_u1771, _u1773, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1771), _u1772), _u1775)) != c_Groups_Oplus__class_Oplus(_u1771, _u1774, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1771), _u1772), _u1776))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1777) | ( c_Groups_Oplus__class_Oplus(_u1777, _u1778, _u1778) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1777), c_Groups_Oplus__class_Oplus(_u1777, c_Groups_Oone__class_Oone(_u1777), c_Groups_Oone__class_Oone(_u1777))), _u1778)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1779) | ( c_Groups_Oplus__class_Oplus(_u1779, _u1780, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1781), _u1780)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), c_Groups_Oplus__class_Oplus(_u1779, _u1781, c_Groups_Oone__class_Oone(_u1779))), _u1780)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1782) | ( c_Groups_Oplus__class_Oplus(_u1782, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1782), _u1783), _u1784), _u1784) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1782), c_Groups_Oplus__class_Oplus(_u1782, _u1783, c_Groups_Oone__class_Oone(_u1782))), _u1784)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1785) | ( c_Groups_Ouminus__class_Ouminus(_u1785, _u1786) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1785), c_Groups_Ouminus__class_Ouminus(_u1785, c_Groups_Oone__class_Oone(_u1785))), _u1786)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1787) | ( c_Groups_Ominus__class_Ominus(_u1787, _u1788, _u1789) = c_Groups_Oplus__class_Oplus(_u1787, _u1788, c_Groups_Ouminus__class_Ouminus(_u1787, _u1789))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1790) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1790), _u1791), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1790)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ath ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ath-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1792) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1792, _u1793) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1793, 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), _u1793)), _u1792), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____)))))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____))))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_assms ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_m_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_m_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1794), 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____), _u1794)), v_m____) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____))))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____)))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_th11 ( axiom ) converted to clauses:
% 15.12/15.30 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____)))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__commute-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, _u1796), _u1797) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, _u1797), _u1796)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1798) | ( c_Groups_Oabs__class_Oabs(_u1798, _u1799) != c_Groups_Ozero__class_Ozero(_u1798)) | ( _u1799 = c_Groups_Ozero__class_Ozero(_u1798)) )).
% 15.12/15.30 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1798) | ( _u1799 != c_Groups_Ozero__class_Ozero(_u1798)) | ( c_Groups_Oabs__class_Oabs(_u1798, _u1799) = c_Groups_Ozero__class_Ozero(_u1798)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1800) | ( c_Groups_Oabs__class_Oabs(_u1800, c_Groups_Ozero__class_Ozero(_u1800)) = c_Groups_Ozero__class_Ozero(_u1800)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1801) | c_Orderings_Oord__class_Oless__eq(_u1801, _u1802, c_Groups_Oabs__class_Oabs(_u1801, _u1802)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1803) | ~c_Orderings_Oord__class_Oless__eq(_u1803, c_Groups_Oabs__class_Oabs(_u1803, _u1804), _u1805) | c_Orderings_Oord__class_Oless__eq(_u1803, _u1804, _u1805) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u1806) | ( c_Groups_Oabs__class_Oabs(_u1806, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), c_Groups_Oabs__class_Oabs(_u1806, _u1807)), c_Groups_Oabs__class_Oabs(_u1806, _u1808))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u1809) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), c_Groups_Oabs__class_Oabs(_u1809, _u1810)), c_Groups_Oabs__class_Oabs(_u1809, _u1810)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1810)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1811) | ( c_Groups_Oabs__class_Oabs(_u1811, c_Groups_Oplus__class_Oplus(_u1811, c_Groups_Oabs__class_Oabs(_u1811, _u1812), c_Groups_Oabs__class_Oabs(_u1811, _u1813))) = c_Groups_Oplus__class_Oplus(_u1811, c_Groups_Oabs__class_Oabs(_u1811, _u1812), c_Groups_Oabs__class_Oabs(_u1811, _u1813))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u1814) | ( c_Groups_Oabs__class_Oabs(_u1814, c_Groups_Oone__class_Oone(_u1814)) = c_Groups_Oone__class_Oone(_u1814)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1815) | ( c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ominus__class_Ominus(_u1815, _u1816, _u1817)) = c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ominus__class_Ominus(_u1815, _u1817, _u1816))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1818) | ( c_Groups_Oabs__class_Oabs(_u1818, c_Groups_Ouminus__class_Ouminus(_u1818, _u1819)) = c_Groups_Oabs__class_Oabs(_u1818, _u1819)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u1820) | ( c_Groups_Oabs__class_Oabs(_u1820, hAPP(hAPP(c_Power_Opower__class_Opower(_u1820), _u1821), _u1822)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1820), c_Groups_Oabs__class_Oabs(_u1820, _u1821)), _u1822)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__inverse-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1823) | ( c_Groups_Oabs__class_Oabs(_u1823, c_Rings_Oinverse__class_Oinverse(_u1823, _u1824)) = c_Rings_Oinverse__class_Oinverse(_u1823, c_Groups_Oabs__class_Oabs(_u1823, _u1824))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__norm__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__norm__cancel-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1825) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1825, _u1826)) = c_RealVector_Onorm__class_Onorm(_u1825, _u1826)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__norm__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__norm__def-1, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1827) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1827)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1828) | ( c_Groups_Oabs__class_Oabs(_u1828, c_Groups_Oabs__class_Oabs(_u1828, _u1829)) = c_Groups_Oabs__class_Oabs(_u1828, _u1829)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1830) | c_Orderings_Oord__class_Oless__eq(_u1830, c_Groups_Ozero__class_Ozero(_u1830), c_Groups_Oabs__class_Oabs(_u1830, _u1831)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1832) | ~c_Orderings_Oord__class_Oless__eq(_u1832, c_Groups_Oabs__class_Oabs(_u1832, _u1833), c_Groups_Ozero__class_Ozero(_u1832)) | ( _u1833 = c_Groups_Ozero__class_Ozero(_u1832)) )).
% 15.12/15.30 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1832) | ( _u1833 != c_Groups_Ozero__class_Ozero(_u1832)) | c_Orderings_Oord__class_Oless__eq(_u1832, c_Groups_Oabs__class_Oabs(_u1832, _u1833), c_Groups_Ozero__class_Ozero(_u1832)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1834) | ~c_Orderings_Oord__class_Oless__eq(_u1834, c_Groups_Ozero__class_Ozero(_u1834), _u1835) | ( c_Groups_Oabs__class_Oabs(_u1834, _u1835) = _u1835) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1836) | ~c_Orderings_Oord__class_Oless(_u1836, c_Groups_Ozero__class_Ozero(_u1836), _u1837) | ( c_Groups_Oabs__class_Oabs(_u1836, _u1837) = _u1837) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1838) | ~c_Orderings_Oord__class_Oless(_u1838, c_Groups_Ozero__class_Ozero(_u1838), c_Groups_Oabs__class_Oabs(_u1838, _u1839)) | ( _u1839 != c_Groups_Ozero__class_Ozero(_u1838)) )).
% 15.12/15.30 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1838) | ( _u1839 = c_Groups_Ozero__class_Ozero(_u1838)) | c_Orderings_Oord__class_Oless(_u1838, c_Groups_Ozero__class_Ozero(_u1838), c_Groups_Oabs__class_Oabs(_u1838, _u1839)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1840) | ~c_Orderings_Oord__class_Oless(_u1840, c_Groups_Oabs__class_Oabs(_u1840, _u1841), c_Groups_Ozero__class_Ozero(_u1840)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u1842) | ~c_Orderings_Oord__class_Oless(_u1842, c_Groups_Oabs__class_Oabs(_u1842, _u1843), _u1844) | ~c_Orderings_Oord__class_Oless(_u1842, c_Groups_Oabs__class_Oabs(_u1842, _u1845), _u1846) | c_Orderings_Oord__class_Oless(_u1842, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1842), c_Groups_Oabs__class_Oabs(_u1842, _u1843)), c_Groups_Oabs__class_Oabs(_u1842, _u1845)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1842), _u1844), _u1846)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1847) | c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Oabs__class_Oabs(_u1847, c_Groups_Oplus__class_Oplus(_u1847, _u1848, _u1849)), c_Groups_Oplus__class_Oplus(_u1847, c_Groups_Oabs__class_Oabs(_u1847, _u1848), c_Groups_Oabs__class_Oabs(_u1847, _u1849))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1850) | c_Orderings_Oord__class_Oless__eq(_u1850, c_Groups_Oabs__class_Oabs(_u1850, c_Groups_Ominus__class_Ominus(_u1850, c_Groups_Oabs__class_Oabs(_u1850, _u1851), c_Groups_Oabs__class_Oabs(_u1850, _u1852))), c_Groups_Oabs__class_Oabs(_u1850, c_Groups_Ominus__class_Ominus(_u1850, _u1851, _u1852))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1853) | c_Orderings_Oord__class_Oless__eq(_u1853, c_Groups_Ominus__class_Ominus(_u1853, c_Groups_Oabs__class_Oabs(_u1853, _u1854), c_Groups_Oabs__class_Oabs(_u1853, _u1855)), c_Groups_Oabs__class_Oabs(_u1853, c_Groups_Ominus__class_Ominus(_u1853, _u1854, _u1855))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1856) | c_Orderings_Oord__class_Oless__eq(_u1856, c_Groups_Ominus__class_Ominus(_u1856, c_Groups_Oabs__class_Oabs(_u1856, _u1857), c_Groups_Oabs__class_Oabs(_u1856, _u1858)), c_Groups_Oabs__class_Oabs(_u1856, c_Groups_Ominus__class_Ominus(_u1856, _u1858, _u1857))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1859) | c_Orderings_Oord__class_Oless__eq(_u1859, c_Groups_Ouminus__class_Ouminus(_u1859, _u1860), c_Groups_Oabs__class_Oabs(_u1859, _u1860)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, _u1862, _u1863) )).
% 15.12/15.30 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Ouminus__class_Ouminus(_u1861, _u1862), _u1863) )).
% 15.12/15.30 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, _u1862, _u1863) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Ouminus__class_Ouminus(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1864) | ~c_Orderings_Oord__class_Oless__eq(_u1864, _u1865, _u1866) | ~c_Orderings_Oord__class_Oless__eq(_u1864, c_Groups_Ouminus__class_Ouminus(_u1864, _u1865), _u1866) | c_Orderings_Oord__class_Oless__eq(_u1864, c_Groups_Oabs__class_Oabs(_u1864, _u1865), _u1866) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1867) | ~c_Orderings_Oord__class_Oless__eq(_u1867, c_Groups_Oabs__class_Oabs(_u1867, _u1868), _u1869) | c_Orderings_Oord__class_Oless__eq(_u1867, c_Groups_Ouminus__class_Ouminus(_u1867, _u1868), _u1869) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, _u1871, _u1872) )).
% 15.12/15.30 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, c_Groups_Ouminus__class_Ouminus(_u1870, _u1871), _u1872) )).
% 15.12/15.30 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, _u1871, _u1872) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Ouminus__class_Ouminus(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__abs__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__abs__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u1873) | ( _u1874 = c_Groups_Ozero__class_Ozero(_u1873)) | ( c_Groups_Oabs__class_Oabs(_u1873, c_Rings_Oinverse__class_Oinverse(_u1873, _u1874)) = c_Rings_Oinverse__class_Oinverse(_u1873, c_Groups_Oabs__class_Oabs(_u1873, _u1874))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u1875) | ( c_Groups_Oabs__class_Oabs(_u1875, hAPP(hAPP(c_Power_Opower__class_Opower(_u1875), c_Groups_Ouminus__class_Ouminus(_u1875, _u1876)), _u1877)) = c_Groups_Oabs__class_Oabs(_u1875, hAPP(hAPP(c_Power_Opower__class_Opower(_u1875), _u1876), _u1877))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__le__interval__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1880), _u1882) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1882), _u1880) )).
% 15.12/15.30 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, _u1880), _u1882) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1880, _u1882) )).
% 15.12/15.30 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, _u1883), _u1881) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1881, _u1883) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1881), _u1883) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__of__real ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__of__real-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u1884) | ( c_RealVector_Onorm__class_Onorm(_u1884, c_RealVector_Oof__real(_u1884, _u1885)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1885)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__minus__add__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__minus__add__cancel-1, axiom, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1886, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1887))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1887, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1886)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1889) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1890) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1889) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1890, c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1889, c_Groups_Ozero__class_Ozero(_u1888)) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1890) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1889, c_Groups_Ozero__class_Ozero(_u1888)) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1890, c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u1891) | ~c_Orderings_Oord__class_Oless__eq(_u1891, c_Groups_Ozero__class_Ozero(_u1891), _u1892) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), c_Groups_Oabs__class_Oabs(_u1891, _u1893)), _u1892) = c_Groups_Oabs__class_Oabs(_u1891, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1893), _u1892))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1894) | ~c_Orderings_Oord__class_Oless__eq(_u1894, _u1895, c_Groups_Ozero__class_Ozero(_u1894)) | ( c_Groups_Oabs__class_Oabs(_u1894, _u1895) = c_Groups_Ouminus__class_Ouminus(_u1894, _u1895)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1896) | c_Orderings_Oord__class_Oless__eq(_u1896, c_Groups_Ouminus__class_Ouminus(_u1896, c_Groups_Oabs__class_Oabs(_u1896, _u1897)), c_Groups_Ozero__class_Ozero(_u1896)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u1898) | c_Orderings_Oord__class_Oless__eq(_u1898, c_Groups_Ozero__class_Ozero(_u1898), hAPP(hAPP(c_Power_Opower__class_Opower(_u1898), c_Groups_Oabs__class_Oabs(_u1898, _u1899)), _u1900)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u1901) | ~c_Orderings_Oord__class_Oless(_u1901, _u1902, c_Groups_Ozero__class_Ozero(_u1901)) | ( c_Groups_Oabs__class_Oabs(_u1901, _u1902) = c_Groups_Ouminus__class_Ouminus(_u1901, _u1902)) )).
% 15.12/15.30 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u1901) | c_Orderings_Oord__class_Oless(_u1901, _u1902, c_Groups_Ozero__class_Ozero(_u1901)) | ( c_Groups_Oabs__class_Oabs(_u1901, _u1902) = _u1902) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1903) | ~c_Orderings_Oord__class_Oless(_u1903, _u1904, c_Groups_Ozero__class_Ozero(_u1903)) | ( c_Groups_Oabs__class_Oabs(_u1903, _u1904) = c_Groups_Ouminus__class_Ouminus(_u1903, _u1904)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1905) | c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, c_Groups_Oplus__class_Oplus(_u1905, _u1906, _u1907), c_Groups_Oplus__class_Oplus(_u1905, _u1908, _u1909))), c_Groups_Oplus__class_Oplus(_u1905, c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, _u1906, _u1908)), c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, _u1907, _u1909)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u1910) | c_Orderings_Oord__class_Oless__eq(_u1910, c_Groups_Oabs__class_Oabs(_u1910, c_Groups_Ominus__class_Ominus(_u1910, _u1911, _u1912)), c_Groups_Oplus__class_Oplus(_u1910, c_Groups_Oabs__class_Oabs(_u1910, _u1911), c_Groups_Oabs__class_Oabs(_u1910, _u1912))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rabs__ratiotest__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rabs__ratiotest__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1913, 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, _u1914), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1913), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1915))) | ( _u1914 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__real__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1917, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1917) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1917)) )).
% 15.12/15.30 cnf(fact_abs__real__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1918, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918) = _u1918) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__abs__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__abs__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1920, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1920) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1920)) )).
% 15.12/15.30 cnf(fact_real__abs__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1921, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1921) = _u1921) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__add__one__not__less__self ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1922), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u1922) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__sum__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1923, _u1924), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1925), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1926)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1923, 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, _u1924, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1926))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_norm__triangle__ineq3 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_norm__triangle__ineq3-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1927) | 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(_u1927, _u1928), c_RealVector_Onorm__class_Onorm(_u1927, _u1929))), c_RealVector_Onorm__class_Onorm(_u1927, c_Groups_Ominus__class_Ominus(_u1927, _u1928, _u1929))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__add__one__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1930))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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) )).
% 15.12/15.30 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, _u1931), 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____), _u1931)), skolem10) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__diff__less__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__diff__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) | c_Orderings_Oord__class_Oless(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1935, _u1936), _u1934) )).
% 15.12/15.30 cnf(fact_abs__diff__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) | c_Orderings_Oord__class_Oless(_u1933, _u1934, c_Groups_Oplus__class_Oplus(_u1933, _u1935, _u1936)) )).
% 15.12/15.30 cnf(fact_abs__diff__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1935, _u1936), _u1934) | ~c_Orderings_Oord__class_Oless(_u1933, _u1934, c_Groups_Oplus__class_Oplus(_u1933, _u1935, _u1936)) | c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1937) | ~c_Orderings_Oord__class_Oless(_u1937, c_Groups_Oplus__class_Oplus(_u1937, _u1938, _u1938), c_Groups_Ozero__class_Ozero(_u1937)) | c_Orderings_Oord__class_Oless(_u1937, _u1938, c_Groups_Ozero__class_Ozero(_u1937)) )).
% 15.12/15.30 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1937) | ~c_Orderings_Oord__class_Oless(_u1937, _u1938, c_Groups_Ozero__class_Ozero(_u1937)) | c_Orderings_Oord__class_Oless(_u1937, c_Groups_Oplus__class_Oplus(_u1937, _u1938, _u1938), c_Groups_Ozero__class_Ozero(_u1937)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less_Oprems ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1941)), _u1943)) | ( _u1941 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1943 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 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, _u1942)), _u1944)) | ( _u1942 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30 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, _u1942)), _u1944)) | ( _u1944 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_constant__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_constant__def-1, axiom, ( ( hAPP(_u1956, _u1946) = hAPP(_u1956, _u1945)) | ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u1952, _u1954, _u1956) )).
% 15.12/15.30 cnf(fact_constant__def-2, axiom, ( ( hAPP(_u1957, skolem11(_u1957)) != hAPP(_u1957, skolem12(_u1957))) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u1953, _u1955, _u1957) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1959, _u1960)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), _u1959)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), _u1960))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1961), _u1962)), _u1963) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1962), _u1963))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1964) | ( c_Groups_Oplus__class_Oplus(_u1964, _u1965, _u1965) != c_Groups_Ozero__class_Ozero(_u1964)) | ( _u1965 = c_Groups_Ozero__class_Ozero(_u1964)) )).
% 15.12/15.30 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1964) | ( _u1965 != c_Groups_Ozero__class_Ozero(_u1964)) | ( c_Groups_Oplus__class_Oplus(_u1964, _u1965, _u1965) = c_Groups_Ozero__class_Ozero(_u1964)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_of__real_Opos__bounded ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_of__real_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1968) | ~class_RealVector_Oreal__normed__vector(_u1968) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem13(_u1968)) )).
% 15.12/15.30 cnf(fact_of__real_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u1968) | ~class_RealVector_Oreal__normed__vector(_u1968) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1968, c_RealVector_Oof__real(_u1968, _u1966)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1966)), skolem13(_u1968))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_unimodular__reduce__norm ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_unimodular__reduce__norm-1, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1969) != 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, _u1969, 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, _u1969, 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, _u1969, 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, _u1969, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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), skolem14) )).
% 15.12/15.30 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, _u1970), 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____), _u1970)), skolem14) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pc0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pc0-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_c ( axiom ) converted to clauses:
% 15.12/15.30 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____), _u1972))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_kn ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zabs__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1974, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1974) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1974)) )).
% 15.12/15.30 cnf(fact_zabs__def-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1975, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1975) = _u1975) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__bin__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1978, _u1980) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1978, _u1980), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30 cnf(fact_less__bin__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1979, _u1981), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1979, _u1981) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__diff1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1984, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1986, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1984, _u1986) )).
% 15.12/15.30 cnf(fact_zle__diff1__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1985, _u1987) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1985, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1987, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1989, _u1990)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), _u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), _u1990))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1991, _u1992)), _u1993) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1991), _u1993), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1992), _u1993))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 15.12/15.30 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, _u1994)), _u1995)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zabs__less__one__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1997), c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1997 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u1998 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1998), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u1999), _u2000)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1999) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zless__linear-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2001, _u2002) | ( _u2001 = _u2002) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2002, _u2001) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__zless__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2003, _u2004) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2005, _u2006) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2003, _u2005), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2004, _u2006)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zmult__zless__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2007, _u2008) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2009) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2009), _u2007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2009), _u2008)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2010, _u2011) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2010, _u2012), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2011, _u2012)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2013, _u2014) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2013, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2014) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2015 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30 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), _u2015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2016 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30 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), _u2015) | ( _u2015 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2016 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2017) | 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), _u2017)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2019), _u2019), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2019, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30 cnf(fact_odd__less__0-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2020, 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), _u2020), _u2020), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 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, _u2021, _u2022)), _u2023) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2021), _u2023), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2022), _u2023))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2024), _u2025)), _u2026) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2025), _u2026))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add1__zle__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2029, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2031) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2029, _u2031) )).
% 15.12/15.30 cnf(fact_add1__zle__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, _u2032) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2030, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2032) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2034, _u2035)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), _u2034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), _u2035))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zless__add1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2038, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2040, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2038, _u2040) | ( _u2038 = _u2040) )).
% 15.12/15.30 cnf(fact_zless__add1__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2041, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, _u2041) )).
% 15.12/15.30 cnf(fact_zless__add1__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2041, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2039 != _u2041) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__add1__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2044, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2046, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2044, _u2046) )).
% 15.12/15.30 cnf(fact_zle__add1__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2045, _u2047) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2045, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2047, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zless__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2050, _u2052) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2050, _u2052) )).
% 15.12/15.30 cnf(fact_zless__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2050, _u2052) | ( _u2050 != _u2052) )).
% 15.12/15.30 cnf(fact_zless__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2051, _u2053) | ( _u2051 = _u2053) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2051, _u2053) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2054), _u2055) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2055), _u2054)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2056), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2056) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2057, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2057) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2059) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2059) )).
% 15.12/15.30 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), _u2060) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2060) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2061) = _u2061) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2062) = _u2062) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2063), _u2063) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2064)), _u2065) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2064), _u2065))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__zminus__inverse2-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2066), _u2066) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__i__not__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_complex__i__not__one-1, axiom, ( ( c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__i__not__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_complex__i__not__zero-1, axiom, ( ( c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_inverse__i ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_complex__i__mult__minus ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2067)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u2067)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_i__mult__eq2 ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_k1n ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_incr__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2068) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2069, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2070, 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, _u2070, _u2069)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2068))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_decr__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2071) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2072, 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, _u2072, _u2073)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2071)), _u2073) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zminus__zadd__distrib-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2074, _u2075)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2074), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2075))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zminus__zminus-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2076)) = _u2076) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2077, _u2077) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2078, _u2079) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2079, _u2078)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2080, _u2081) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2081, _u2080) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2082, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2083, _u2084)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2083, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2082, _u2084))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2085, _u2086), _u2087) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2085, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2086, _u2087))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zadd__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2088, _u2089) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2090, _u2088), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2090, _u2089)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2091, _u2092) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2092, _u2093) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2091, _u2093) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zle__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2094, _u2095) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2094) | ( _u2094 = _u2095) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2096, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2097)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2096, _u2097)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__int__def-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2098, _u2099) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2098, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2099))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_psize__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_psize__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2100) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2100, _u2101) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2101 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2100))) )).
% 15.12/15.30 cnf(fact_psize__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2100) | ( _u2101 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2100))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2100, _u2101) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_q_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_q_I2_J-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2102) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2102))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less_Ohyps ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less_Ohyps-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, _u2104), 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, _u2104)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2104), skolem15(_u2104)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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, skolem16) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.12/15.30 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, skolem16), _u2105) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2105))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_q_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_a00 ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096 ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_qnc ( axiom ) converted to clauses:
% 15.12/15.30 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____)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_cq0 ( axiom ) converted to clauses:
% 15.12/15.30 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____), _u2107))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pqc0 ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_kas_I3_J ( axiom ) converted to clauses:
% 15.12/15.30 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____))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____), skolem17) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_self__quotient__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2109) | ( _u2109 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2109), _u2111))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2110) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2111, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_self__quotient__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2112) | ( _u2112 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2113, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2112), _u2114))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2113, _u2112) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2114) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_qr ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_qr-1, axiom, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2115) = 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____)), _u2115)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_r01 ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_lgqr ( axiom ) converted to clauses:
% 15.12/15.30 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____))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rnc ( axiom ) converted to clauses:
% 15.12/15.30 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____))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mrmq__eq ( axiom ) converted to clauses:
% 15.12/15.30 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____)), _u2117)), 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____), _u2117)), 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)))) )).
% 15.12/15.30 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____), _u2118)), 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____)), _u2118)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_kas_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 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____)), _u2119) = 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), _u2119), v_k____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____)), _u2119)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2120), _u2121), _u2122) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2123), _u2124), _u2125)) | ~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), _u2123), _u2124), _u2125), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2122, _u2120) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2125) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2123) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2123, _u2120) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2124, _u2121) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2126), _u2127), _u2128), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2126), _u2129), _u2130)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2130, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2126, _u2130) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2126, _u2128) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2129, _u2127) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2131), _u2132), _u2133) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2134), _u2135), _u2136)) | ~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), _u2134), _u2135), _u2136)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2136, _u2134) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2133) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2134) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2134, _u2131) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2132, _u2135) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2137), _u2138), _u2139), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2137), _u2140), _u2141)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2139) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2139, _u2137) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2141, _u2137) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2138, _u2140) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2142), _u2143), _u2144), 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), _u2144) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2142) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2143, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2145), _u2146), _u2147)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2147, _u2145) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2145) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2146) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____)), skolem18)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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____)), skolem19) != 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____)), skolem20)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2151) | 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), _u2151), _u2152)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_offset__poly__eq__0__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_offset__poly__eq__0__lemma-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2153) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2153), c_Polynomial_Osmult(_u2153, _u2154, _u2155), c_Polynomial_OpCons(_u2153, _u2156, _u2155)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2153))) | ( _u2155 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2153))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 15.12/15.30 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)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2157) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2158) | 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, _u2157, _u2158)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2159) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2160) | 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), _u2159), _u2160)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_th01 ( axiom ) converted to clauses:
% 15.12/15.30 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)))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_th02 ( axiom ) converted to clauses:
% 15.12/15.30 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)))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__replicate__append ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__replicate__append-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2161) | ( hAPP(c_Polynomial_Opoly(_u2161, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2161)), c_Polynomial_Omonom(_u2161, c_Groups_Oone__class_Oone(_u2161), _u2162)), _u2163)), _u2164) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2161), hAPP(hAPP(c_Power_Opower__class_Opower(_u2161), _u2164), _u2162)), hAPP(c_Polynomial_Opoly(_u2161, _u2163), _u2164))) )).
% 15.12/15.30
% 15.12/15.30 % 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:
% 15.12/15.30 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))))), skolem21) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_monom__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_monom__0-1, axiom, ( ~class_Groups_Ozero(_u2166) | ( c_Polynomial_Omonom(_u2166, _u2167, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(_u2166, _u2167, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2166)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__poly__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2168) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2168), _u2169, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2168))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2168), _u2169) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2168), _u2169)) )).
% 15.12/15.30 cnf(fact_abs__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2168) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2168), _u2169, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2168))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2168), _u2169) = _u2169) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__poly__code_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__poly__code_I1_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2170) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2170), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2170))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2170))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__poly__code_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__poly__code_I2_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2171) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2171), _u2172, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) = _u2172) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__poly__code_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__poly__code_I1_J-1, axiom, ( ~class_Groups_Oab__group__add(_u2173) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2173), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173)), _u2174) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2173), _u2174)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__poly__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__poly__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2175) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2175)), _u2176), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2175))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2175))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__poly__0__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__poly__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2177)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2177))), _u2178) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2177))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u2179) | ~class_Rings_Oidom(_u2179) | ( c_Polynomial_Opoly(_u2179, _u2180) != c_Polynomial_Opoly(_u2179, _u2181)) | ( _u2180 = _u2181) )).
% 15.12/15.30 cnf(fact_poly__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u2179) | ~class_Rings_Oidom(_u2179) | ( _u2180 != _u2181) | ( c_Polynomial_Opoly(_u2179, _u2180) = c_Polynomial_Opoly(_u2179, _u2181)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pCons__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pCons__eq__iff-1, axiom, ( ~class_Groups_Ozero(_u2182) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) != c_Polynomial_OpCons(_u2182, _u2185, _u2186)) | ( _u2183 = _u2185) )).
% 15.12/15.30 cnf(fact_pCons__eq__iff-2, axiom, ( ~class_Groups_Ozero(_u2182) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) != c_Polynomial_OpCons(_u2182, _u2185, _u2186)) | ( _u2184 = _u2186) )).
% 15.12/15.30 cnf(fact_pCons__eq__iff-3, axiom, ( ~class_Groups_Ozero(_u2182) | ( _u2183 != _u2185) | ( _u2184 != _u2186) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) = c_Polynomial_OpCons(_u2182, _u2185, _u2186)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__diff__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__diff__right-1, axiom, ( ~class_Rings_Ocomm__ring(_u2187) | ( c_Polynomial_Osmult(_u2187, _u2188, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2187), _u2189, _u2190)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2187), c_Polynomial_Osmult(_u2187, _u2188, _u2189), c_Polynomial_Osmult(_u2187, _u2188, _u2190))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__minus__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__minus__right-1, axiom, ( ~class_Rings_Ocomm__ring(_u2191) | ( c_Polynomial_Osmult(_u2191, _u2192, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2191), _u2193)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2191), c_Polynomial_Osmult(_u2191, _u2192, _u2193))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__smult__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__smult__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2194)), c_Polynomial_Osmult(_u2194, _u2195, _u2196)), _u2197) = c_Polynomial_Osmult(_u2194, _u2195, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2194)), _u2196), _u2197))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__smult__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__smult__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2198) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2198)), _u2199), c_Polynomial_Osmult(_u2198, _u2200, _u2201)) = c_Polynomial_Osmult(_u2198, _u2200, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2198)), _u2199), _u2201))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__poly__add__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__poly__add__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2202) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2202), _u2203, _u2204)), _u2205) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), _u2203), _u2205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), _u2204), _u2205))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_monom__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_monom__eq__iff-1, axiom, ( ~class_Groups_Ozero(_u2206) | ( c_Polynomial_Omonom(_u2206, _u2207, _u2208) != c_Polynomial_Omonom(_u2206, _u2209, _u2208)) | ( _u2207 = _u2209) )).
% 15.12/15.30 cnf(fact_monom__eq__iff-2, axiom, ( ~class_Groups_Ozero(_u2206) | ( _u2207 != _u2209) | ( c_Polynomial_Omonom(_u2206, _u2207, _u2208) = c_Polynomial_Omonom(_u2206, _u2209, _u2208)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2210) | ( hAPP(c_Polynomial_Opoly(_u2210, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2210)), _u2211), _u2212)), _u2213) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2210), hAPP(c_Polynomial_Opoly(_u2210, _u2211), _u2213)), hAPP(c_Polynomial_Opoly(_u2210, _u2212), _u2213))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2214) | ( hAPP(c_Polynomial_Opoly(_u2214, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2214))), _u2215) = c_Groups_Oone__class_Oone(_u2214)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__diff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__diff-1, axiom, ( ~class_Rings_Ocomm__ring(_u2216) | ( hAPP(c_Polynomial_Opoly(_u2216, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2216), _u2217, _u2218)), _u2219) = c_Groups_Ominus__class_Ominus(_u2216, hAPP(c_Polynomial_Opoly(_u2216, _u2217), _u2219), hAPP(c_Polynomial_Opoly(_u2216, _u2218), _u2219))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__minus-1, axiom, ( ~class_Rings_Ocomm__ring(_u2220) | ( hAPP(c_Polynomial_Opoly(_u2220, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2220), _u2221)), _u2222) = c_Groups_Ouminus__class_Ouminus(_u2220, hAPP(c_Polynomial_Opoly(_u2220, _u2221), _u2222))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2223) | ( hAPP(c_Polynomial_Opoly(_u2223, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2223)), _u2224), _u2225)), _u2226) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2223), hAPP(c_Polynomial_Opoly(_u2223, _u2224), _u2226)), _u2225)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__pCons ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__pCons-1, axiom, ( ~class_Groups_Oab__group__add(_u2227) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2227), c_Polynomial_OpCons(_u2227, _u2228, _u2229), c_Polynomial_OpCons(_u2227, _u2230, _u2231)) = c_Polynomial_OpCons(_u2227, c_Groups_Ominus__class_Ominus(_u2227, _u2228, _u2230), c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2227), _u2229, _u2231))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__smult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__smult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2232) | ( c_Polynomial_Osmult(_u2232, _u2233, c_Polynomial_Osmult(_u2232, _u2234, _u2235)) = c_Polynomial_Osmult(_u2232, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2232), _u2233), _u2234), _u2235)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__1__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__1__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2236) | ( c_Polynomial_Osmult(_u2236, c_Groups_Oone__class_Oone(_u2236), _u2237) = _u2237) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__poly__code_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__pCons ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__pCons-1, axiom, ( ~class_Groups_Oab__group__add(_u2241) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2241), c_Polynomial_OpCons(_u2241, _u2242, _u2243)) = c_Polynomial_OpCons(_u2241, c_Groups_Ouminus__class_Ouminus(_u2241, _u2242), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2241), _u2243))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__diff__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__diff__left-1, axiom, ( ~class_Rings_Ocomm__ring(_u2244) | ( c_Polynomial_Osmult(_u2244, c_Groups_Ominus__class_Ominus(_u2244, _u2245, _u2246), _u2247) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2244), c_Polynomial_Osmult(_u2244, _u2245, _u2247), c_Polynomial_Osmult(_u2244, _u2246, _u2247))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__minus__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__minus__left-1, axiom, ( ~class_Rings_Ocomm__ring(_u2248) | ( c_Polynomial_Osmult(_u2248, c_Groups_Ouminus__class_Ouminus(_u2248, _u2249), _u2250) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2248), c_Polynomial_Osmult(_u2248, _u2249, _u2250))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__zero-1, axiom, ( ~class_Int_Oring__char__0(_u2251) | ~class_Rings_Oidom(_u2251) | ( c_Polynomial_Opoly(_u2251, _u2252) != c_Polynomial_Opoly(_u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251)))) | ( _u2252 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251))) )).
% 15.12/15.30 cnf(fact_poly__zero-2, axiom, ( ~class_Int_Oring__char__0(_u2251) | ~class_Rings_Oidom(_u2251) | ( _u2252 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251))) | ( c_Polynomial_Opoly(_u2251, _u2252) = c_Polynomial_Opoly(_u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2253) | ( c_Polynomial_Osmult(_u2253, _u2254, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2253))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2253))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_diff__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_diff__monom-1, axiom, ( ~class_Groups_Oab__group__add(_u2255) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2255), c_Polynomial_Omonom(_u2255, _u2256, _u2257), c_Polynomial_Omonom(_u2255, _u2258, _u2257)) = c_Polynomial_Omonom(_u2255, c_Groups_Ominus__class_Ominus(_u2255, _u2256, _u2258), _u2257)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__monom-1, axiom, ( ~class_Groups_Oab__group__add(_u2259) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2259), c_Polynomial_Omonom(_u2259, _u2260, _u2261)) = c_Polynomial_Omonom(_u2259, c_Groups_Ouminus__class_Ouminus(_u2259, _u2260), _u2261)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__poly__code_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__poly__code_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2262) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2262), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2262)), _u2263) = _u2263) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__poly__code_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__poly__code_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2264) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2264), _u2265, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2264))) = _u2265) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__add__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__add__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2266) | ( c_Polynomial_Osmult(_u2266, _u2267, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2266), _u2268, _u2269)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2266), c_Polynomial_Osmult(_u2266, _u2267, _u2268), c_Polynomial_Osmult(_u2266, _u2267, _u2269))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2270) | ( hAPP(c_Polynomial_Opoly(_u2270, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2270))), _u2271) = c_Groups_Ozero__class_Ozero(_u2270)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pCons__0__0 ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pCons__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pCons__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2273) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 = c_Groups_Ozero__class_Ozero(_u2273)) )).
% 15.12/15.30 cnf(fact_pCons__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2273) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2275 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.12/15.30 cnf(fact_pCons__eq__0__iff-3, axiom, ( ~class_Groups_Ozero(_u2273) | ( _u2274 != c_Groups_Ozero__class_Ozero(_u2273)) | ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__0__left ( axiom ) converted to clauses:
% 15.12/15.30 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))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__eq__0__iff-1, axiom, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2279 = c_Groups_Ozero__class_Ozero(_u2278)) | ( _u2280 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) )).
% 15.12/15.30 cnf(fact_smult__eq__0__iff-2, axiom, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2279 != c_Groups_Ozero__class_Ozero(_u2278)) )).
% 15.12/15.30 cnf(fact_smult__eq__0__iff-3, axiom, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2280 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__poly__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__poly__def-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2281) | ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2281)) = c_Polynomial_OpCons(_u2281, c_Groups_Oone__class_Oone(_u2281), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2281)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__smult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__smult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2282) | ( hAPP(c_Polynomial_Opoly(_u2282, c_Polynomial_Osmult(_u2282, _u2283, _u2284)), _u2285) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2282), _u2283), hAPP(c_Polynomial_Opoly(_u2282, _u2284), _u2285))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__pCons ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2286) | ( c_Polynomial_Osmult(_u2286, _u2287, c_Polynomial_OpCons(_u2286, _u2288, _u2289)) = c_Polynomial_OpCons(_u2286, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2286), _u2287), _u2288), c_Polynomial_Osmult(_u2286, _u2287, _u2289))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2290) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2290)), c_Polynomial_Omonom(_u2290, _u2291, _u2292)), c_Polynomial_Omonom(_u2290, _u2293, _u2294)) = c_Polynomial_Omonom(_u2290, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2290), _u2291), _u2293), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2292, _u2294))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_monom__eq__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_monom__eq__0-1, axiom, ( ~class_Groups_Ozero(_u2295) | ( c_Polynomial_Omonom(_u2295, c_Groups_Ozero__class_Ozero(_u2295), _u2296) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2295))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_monom__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_monom__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u2297) | ( c_Polynomial_Omonom(_u2297, _u2298, _u2299) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2297))) | ( _u2298 = c_Groups_Ozero__class_Ozero(_u2297)) )).
% 15.12/15.30 cnf(fact_monom__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u2297) | ( _u2298 != c_Groups_Ozero__class_Ozero(_u2297)) | ( c_Polynomial_Omonom(_u2297, _u2298, _u2299) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2297))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__add-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2300) | ( hAPP(c_Polynomial_Opoly(_u2300, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2300), _u2301, _u2302)), _u2303) = c_Groups_Oplus__class_Oplus(_u2300, hAPP(c_Polynomial_Opoly(_u2300, _u2301), _u2303), hAPP(c_Polynomial_Opoly(_u2300, _u2302), _u2303))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__pCons ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__pCons-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2304) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2304), c_Polynomial_OpCons(_u2304, _u2305, _u2306), c_Polynomial_OpCons(_u2304, _u2307, _u2308)) = c_Polynomial_OpCons(_u2304, c_Groups_Oplus__class_Oplus(_u2304, _u2305, _u2307), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2304), _u2306, _u2308))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_synthetic__div__unique__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_synthetic__div__unique__lemma-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2309) | ( c_Polynomial_Osmult(_u2309, _u2310, _u2311) != c_Polynomial_OpCons(_u2309, _u2312, _u2311)) | ( _u2311 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2309))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__add__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__add__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2313) | ( c_Polynomial_Osmult(_u2313, c_Groups_Oplus__class_Oplus(_u2313, _u2314, _u2315), _u2316) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2313), c_Polynomial_Osmult(_u2313, _u2314, _u2316), c_Polynomial_Osmult(_u2313, _u2315, _u2316))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_smult__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_smult__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2317) | ( c_Polynomial_Osmult(_u2317, _u2318, c_Polynomial_Omonom(_u2317, _u2319, _u2320)) = c_Polynomial_Omonom(_u2317, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2317), _u2318), _u2319), _u2320)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__monom-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2321) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2321), c_Polynomial_Omonom(_u2321, _u2322, _u2323), c_Polynomial_Omonom(_u2321, _u2324, _u2323)) = c_Polynomial_Omonom(_u2321, c_Groups_Oplus__class_Oplus(_u2321, _u2322, _u2324), _u2323)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__pCons ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2325) | ( hAPP(c_Polynomial_Opoly(_u2325, c_Polynomial_OpCons(_u2325, _u2326, _u2327)), _u2328) = c_Groups_Oplus__class_Oplus(_u2325, _u2326, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2325), _u2328), hAPP(c_Polynomial_Opoly(_u2325, _u2327), _u2328)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_poly__monom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_poly__monom-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2329) | ( hAPP(c_Polynomial_Opoly(_u2329, c_Polynomial_Omonom(_u2329, _u2330, _u2331)), _u2332) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), hAPP(hAPP(c_Power_Opower__class_Opower(_u2329), _u2332), _u2331))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__pCons__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__pCons__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2333) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2333)), _u2334), c_Polynomial_OpCons(_u2333, _u2335, _u2336)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2333), c_Polynomial_Osmult(_u2333, _u2335, _u2334), c_Polynomial_OpCons(_u2333, c_Groups_Ozero__class_Ozero(_u2333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2333)), _u2334), _u2336)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__pCons__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__pCons__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2337)), c_Polynomial_OpCons(_u2337, _u2338, _u2339)), _u2340) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2337), c_Polynomial_Osmult(_u2337, _u2338, _u2340), c_Polynomial_OpCons(_u2337, c_Groups_Ozero__class_Ozero(_u2337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2337)), _u2339), _u2340)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_synthetic__div__correct_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_synthetic__div__correct_H-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2341) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), c_Polynomial_OpCons(_u2341, c_Groups_Ouminus__class_Ouminus(_u2341, _u2342), c_Polynomial_OpCons(_u2341, c_Groups_Oone__class_Oone(_u2341), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))))), c_Polynomial_Osynthetic__div(_u2341, _u2343, _u2342)), c_Polynomial_OpCons(_u2341, hAPP(c_Polynomial_Opoly(_u2341, _u2343), _u2342), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341)))) = _u2343) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pcompose__pCons ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_pcompose__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2344) | ( c_Polynomial_Opcompose(_u2344, c_Polynomial_OpCons(_u2344, _u2345, _u2346), _u2347) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2344), c_Polynomial_OpCons(_u2344, _u2345, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2344))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2344)), _u2347), c_Polynomial_Opcompose(_u2344, _u2346, _u2347)))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_synthetic__div__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_synthetic__div__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2348) | ( c_Polynomial_Osynthetic__div(_u2348, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2348)), _u2349) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2348))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pcompose__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_pcompose__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2350) | ( c_Polynomial_Opcompose(_u2350, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2350)), _u2351) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2350))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_poly__pcompose ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_poly__pcompose-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2352) | ( hAPP(c_Polynomial_Opoly(_u2352, c_Polynomial_Opcompose(_u2352, _u2353, _u2354)), _u2355) = hAPP(c_Polynomial_Opoly(_u2352, _u2353), hAPP(c_Polynomial_Opoly(_u2352, _u2354), _u2355))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_synthetic__div__pCons ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_synthetic__div__pCons-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2356) | ( c_Polynomial_Osynthetic__div(_u2356, c_Polynomial_OpCons(_u2356, _u2357, _u2358), _u2359) = c_Polynomial_OpCons(_u2356, hAPP(c_Polynomial_Opoly(_u2356, _u2358), _u2359), c_Polynomial_Osynthetic__div(_u2356, _u2358, _u2359))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_synthetic__div__correct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_synthetic__div__correct-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2360) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2360), _u2361, c_Polynomial_Osmult(_u2360, _u2362, c_Polynomial_Osynthetic__div(_u2360, _u2361, _u2362))) = c_Polynomial_OpCons(_u2360, hAPP(c_Polynomial_Opoly(_u2360, _u2361), _u2362), c_Polynomial_Osynthetic__div(_u2360, _u2361, _u2362))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_synthetic__div__unique ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_synthetic__div__unique-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2363) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2363), _u2364, c_Polynomial_Osmult(_u2363, _u2365, _u2366)) != c_Polynomial_OpCons(_u2363, _u2367, _u2366)) | ( _u2367 = hAPP(c_Polynomial_Opoly(_u2363, _u2364), _u2365)) )).
% 15.12/15.31 cnf(fact_synthetic__div__unique-2, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2363) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2363), _u2364, c_Polynomial_Osmult(_u2363, _u2365, _u2366)) != c_Polynomial_OpCons(_u2363, _u2367, _u2366)) | ( _u2366 = c_Polynomial_Osynthetic__div(_u2363, _u2364, _u2365)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__root ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2371) | c_Orderings_Oord__class_Oless__eq(_u2371, _u2372, _u2372) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2375) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2376, _u2375), _u2377, _u2378) | c_Orderings_Oord__class_Oless__eq(_u2375, hAPP(_u2377, _u2373), hAPP(_u2378, _u2373)) )).
% 15.12/15.31 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2375) | ~c_Orderings_Oord__class_Oless__eq(_u2375, hAPP(_u2377, skolem22(_u2378, _u2377, _u2376, _u2375)), hAPP(_u2378, skolem22(_u2378, _u2377, _u2376, _u2375))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2376, _u2375), _u2377, _u2378) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2379) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2380, _u2381) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2381, _u2380) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u2382) | ( _u2383 != _u2384) | c_Orderings_Oord__class_Oless__eq(_u2382, _u2383, _u2384) )).
% 15.12/15.31 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u2382) | ( _u2383 != _u2384) | c_Orderings_Oord__class_Oless__eq(_u2382, _u2384, _u2383) )).
% 15.12/15.31 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u2382) | ~c_Orderings_Oord__class_Oless__eq(_u2382, _u2383, _u2384) | ~c_Orderings_Oord__class_Oless__eq(_u2382, _u2384, _u2383) | ( _u2383 = _u2384) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u2385) | ( _u2386 != _u2387) | c_Orderings_Oord__class_Oless__eq(_u2385, _u2386, _u2387) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u2388) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2389, _u2388), _u2390, _u2391) | c_Orderings_Oord__class_Oless__eq(_u2388, hAPP(_u2390, _u2392), hAPP(_u2391, _u2392)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u2393) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2394, _u2395) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2395, _u2394) | ( _u2395 = _u2394) )).
% 15.12/15.31 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u2393) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2394, _u2395) | ( _u2395 != _u2394) | c_Orderings_Oord__class_Oless__eq(_u2393, _u2395, _u2394) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u2396) | ( _u2397 != _u2398) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2398, _u2399) | c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2399) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u2400) | ( _u2401 != _u2402) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2403, _u2402) | c_Orderings_Oord__class_Oless__eq(_u2400, _u2403, _u2401) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2404) | ~c_Orderings_Oord__class_Oless__eq(_u2404, _u2405, _u2406) | ( _u2406 != _u2407) | c_Orderings_Oord__class_Oless__eq(_u2404, _u2405, _u2407) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2410) | ( _u2409 != _u2411) | c_Orderings_Oord__class_Oless__eq(_u2408, _u2411, _u2410) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u2412) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2413, _u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2414, _u2413) | ( _u2413 = _u2414) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2415) | ~c_Orderings_Oord__class_Oless__eq(_u2415, _u2416, _u2417) | ~c_Orderings_Oord__class_Oless__eq(_u2415, _u2417, _u2418) | c_Orderings_Oord__class_Oless__eq(_u2415, _u2416, _u2418) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u2419) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2421) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2421, _u2420) | ( _u2421 = _u2420) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u2422) | ~c_Orderings_Oord__class_Oless__eq(_u2422, _u2423, _u2424) | ~c_Orderings_Oord__class_Oless__eq(_u2422, _u2425, _u2423) | c_Orderings_Oord__class_Oless__eq(_u2422, _u2425, _u2424) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u2426) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2427, _u2426), _u2428, _u2429) | c_Orderings_Oord__class_Oless__eq(_u2426, hAPP(_u2428, _u2430), hAPP(_u2429, _u2430)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2431) | c_Orderings_Oord__class_Oless__eq(_u2431, _u2432, _u2433) | c_Orderings_Oord__class_Oless__eq(_u2431, _u2433, _u2432) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u2434) | c_Orderings_Oord__class_Oless(_u2434, _u2435, _u2436) | ( _u2435 = _u2436) | c_Orderings_Oord__class_Oless(_u2434, _u2436, _u2435) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u2437) | ~c_Orderings_Oord__class_Oless(_u2437, _u2438, _u2439) | ~c_Orderings_Oord__class_Oless(_u2437, _u2439, _u2438) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u2440) | ~c_Orderings_Oord__class_Oless(_u2440, _u2441, _u2442) | ~c_Orderings_Oord__class_Oless(_u2440, _u2443, _u2441) | c_Orderings_Oord__class_Oless(_u2440, _u2443, _u2442) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2444) | ~c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2446) | ~c_Orderings_Oord__class_Oless(_u2444, _u2446, _u2447) | c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2447) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u2448) | ~c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2450) | ( _u2449 != _u2451) | c_Orderings_Oord__class_Oless(_u2448, _u2451, _u2450) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u2452) | ~c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2454) | ( _u2454 != _u2455) | c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2455) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u2456) | ( _u2457 != _u2458) | ~c_Orderings_Oord__class_Oless(_u2456, _u2459, _u2458) | c_Orderings_Oord__class_Oless(_u2456, _u2459, _u2457) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u2460) | ( _u2461 != _u2462) | ~c_Orderings_Oord__class_Oless(_u2460, _u2462, _u2463) | c_Orderings_Oord__class_Oless(_u2460, _u2461, _u2463) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u2464) | ~c_Orderings_Oord__class_Oless(_u2464, _u2465, _u2466) | ~c_Orderings_Oord__class_Oless(_u2464, _u2466, _u2465) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u2467) | ~c_Orderings_Oord__class_Oless(_u2467, _u2468, _u2469) | ~c_Orderings_Oord__class_Oless(_u2467, _u2469, _u2468) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u2470) | ~c_Orderings_Oord__class_Oless(_u2470, _u2471, _u2472) | ( _u2472 != _u2471) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u2473) | ~c_Orderings_Oord__class_Oless(_u2473, _u2474, _u2475) | ( _u2474 != _u2475) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u2476) | ~c_Orderings_Oord__class_Oless(_u2476, _u2477, _u2478) | ~c_Orderings_Oord__class_Oless(_u2476, _u2478, _u2477) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u2479) | ~c_Orderings_Oord__class_Oless(_u2479, _u2480, _u2481) | ~c_Orderings_Oord__class_Oless(_u2479, _u2481, _u2480) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u2482) | ~c_Orderings_Oord__class_Oless(_u2482, _u2483, _u2484) | ( _u2483 != _u2484) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u2485) | ( _u2486 = _u2487) | c_Orderings_Oord__class_Oless(_u2485, _u2486, _u2487) | c_Orderings_Oord__class_Oless(_u2485, _u2487, _u2486) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u2488) | c_Orderings_Oord__class_Oless(_u2488, _u2489, _u2490) | c_Orderings_Oord__class_Oless(_u2488, _u2490, _u2489) | ( _u2490 = _u2489) )).
% 15.12/15.31 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u2488) | c_Orderings_Oord__class_Oless(_u2488, _u2489, _u2490) | ( _u2490 != _u2489) | ~c_Orderings_Oord__class_Oless(_u2488, _u2490, _u2489) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2491) | c_Orderings_Oord__class_Oless(_u2491, _u2492, _u2493) | ( _u2492 = _u2493) | c_Orderings_Oord__class_Oless(_u2491, _u2493, _u2492) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u2494) | c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | c_Orderings_Oord__class_Oless(_u2494, _u2496, _u2495) | ( _u2495 = _u2496) )).
% 15.12/15.31 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | ~c_Orderings_Oord__class_Oless(_u2494, _u2496, _u2495) )).
% 15.12/15.31 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | ( _u2495 != _u2496) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 = _u2499) | c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) | c_Orderings_Oord__class_Oless(_u2497, _u2499, _u2498) )).
% 15.12/15.31 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 != _u2499) | ~c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) )).
% 15.12/15.31 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 != _u2499) | ~c_Orderings_Oord__class_Oless(_u2497, _u2499, _u2498) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u2500) | ~c_Orderings_Oord__class_Oless(_u2500, _u2501, _u2501) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u2502) | ~c_Orderings_Oord__class_Oless__eq(_u2502, _u2503, _u2504) | ~c_Orderings_Oord__class_Oless(_u2502, _u2505, _u2503) | c_Orderings_Oord__class_Oless(_u2502, _u2505, _u2504) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2506) | ~c_Orderings_Oord__class_Oless__eq(_u2506, _u2507, _u2508) | ~c_Orderings_Oord__class_Oless(_u2506, _u2508, _u2509) | c_Orderings_Oord__class_Oless(_u2506, _u2507, _u2509) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u2510) | ~c_Orderings_Oord__class_Oless(_u2510, _u2511, _u2512) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2513, _u2511) | c_Orderings_Oord__class_Oless(_u2510, _u2513, _u2512) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u2514) | ~c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2516) | ~c_Orderings_Oord__class_Oless__eq(_u2514, _u2516, _u2517) | c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2517) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u2518) | ~c_Orderings_Oord__class_Oless__eq(_u2518, _u2519, _u2520) | ( _u2520 = _u2519) | c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2520) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u2521) | ~c_Orderings_Oord__class_Oless__eq(_u2521, _u2522, _u2523) | ( _u2522 = _u2523) | c_Orderings_Oord__class_Oless(_u2521, _u2522, _u2523) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u2524) | ~c_Orderings_Oord__class_Oless__eq(_u2524, _u2525, _u2526) | c_Orderings_Oord__class_Oless(_u2524, _u2525, _u2526) | ( _u2525 = _u2526) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, _u2529) | c_Orderings_Oord__class_Oless(_u2527, _u2528, _u2529) | ( _u2528 = _u2529) )).
% 15.12/15.31 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, _u2529) | ( _u2528 != _u2529) | ~c_Orderings_Oord__class_Oless(_u2527, _u2528, _u2529) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u2530) | ~c_Orderings_Oord__class_Oless(_u2530, _u2531, _u2532) | c_Orderings_Oord__class_Oless__eq(_u2530, _u2531, _u2532) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_leD ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u2533) | ~c_Orderings_Oord__class_Oless__eq(_u2533, _u2534, _u2535) | ~c_Orderings_Oord__class_Oless(_u2533, _u2535, _u2534) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u2536) | ( _u2537 = _u2538) | ~c_Orderings_Oord__class_Oless__eq(_u2536, _u2538, _u2537) | c_Orderings_Oord__class_Oless(_u2536, _u2538, _u2537) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u2539) | ( _u2540 = _u2541) | ~c_Orderings_Oord__class_Oless__eq(_u2539, _u2540, _u2541) | c_Orderings_Oord__class_Oless(_u2539, _u2540, _u2541) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u2542) | c_Orderings_Oord__class_Oless(_u2542, _u2543, _u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2542, _u2543, _u2544) | ( _u2543 = _u2544) )).
% 15.12/15.31 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u2542) | c_Orderings_Oord__class_Oless(_u2542, _u2543, _u2544) | ( _u2543 != _u2544) | c_Orderings_Oord__class_Oless__eq(_u2542, _u2543, _u2544) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u2545) | c_Orderings_Oord__class_Oless__eq(_u2545, _u2546, _u2547) | c_Orderings_Oord__class_Oless(_u2545, _u2547, _u2546) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_leI ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u2548) | c_Orderings_Oord__class_Oless(_u2548, _u2549, _u2550) | c_Orderings_Oord__class_Oless__eq(_u2548, _u2550, _u2549) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u2551) | ~c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | c_Orderings_Oord__class_Oless(_u2551, _u2552, _u2553) | ( _u2552 = _u2553) )).
% 15.12/15.31 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u2551) | c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | ~c_Orderings_Oord__class_Oless(_u2551, _u2552, _u2553) )).
% 15.12/15.31 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u2551) | c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | ( _u2552 != _u2553) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) | c_Orderings_Oord__class_Oless__eq(_u2554, _u2555, _u2556) )).
% 15.12/15.31 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) | ~c_Orderings_Oord__class_Oless__eq(_u2554, _u2556, _u2555) )).
% 15.12/15.31 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless__eq(_u2554, _u2555, _u2556) | c_Orderings_Oord__class_Oless__eq(_u2554, _u2556, _u2555) | c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) | c_Orderings_Oord__class_Oless__eq(_u2557, _u2558, _u2559) )).
% 15.12/15.31 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) | ( _u2558 != _u2559) )).
% 15.12/15.31 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless__eq(_u2557, _u2558, _u2559) | ( _u2558 = _u2559) | c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u2560) | c_Orderings_Oord__class_Oless__eq(_u2560, _u2561, _u2562) | c_Orderings_Oord__class_Oless(_u2560, _u2562, _u2561) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u2563) | c_Orderings_Oord__class_Oless__eq(_u2563, _u2564, _u2565) | c_Orderings_Oord__class_Oless(_u2563, _u2565, _u2564) )).
% 15.12/15.31 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u2563) | ~c_Orderings_Oord__class_Oless(_u2563, _u2565, _u2564) | ~c_Orderings_Oord__class_Oless__eq(_u2563, _u2564, _u2565) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u2566) | c_Orderings_Oord__class_Oless(_u2566, _u2567, _u2568) | c_Orderings_Oord__class_Oless__eq(_u2566, _u2568, _u2567) )).
% 15.12/15.31 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u2566) | ~c_Orderings_Oord__class_Oless__eq(_u2566, _u2568, _u2567) | ~c_Orderings_Oord__class_Oless(_u2566, _u2567, _u2568) )).
% 15.12/15.31
% 15.12/15.31 % 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:
% 15.12/15.31 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, ( ( skolem23 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 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, ( ( skolem24 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.31 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, skolem25), skolem23), 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____))) )).
% 15.12/15.31 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____)), _u2569) = 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), _u2569), skolem23)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, skolem24, skolem25)), _u2569)))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__add__one ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2576, _u2577) )).
% 15.12/15.31 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2577, _u2576) )).
% 15.12/15.31 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2576, _u2577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2577, _u2576) | c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__zero ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_zero__le__natceiling ( axiom ) converted to clauses:
% 15.12/15.31 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(_u2578)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__mono ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natceiling__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2580) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2579), c_RComplete_Onatceiling(_u2580)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__one ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__neg ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natceiling__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2581, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u2581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__le__eq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natceiling__le__eq__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2583), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2583, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(fact_natceiling__le__eq__one-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2584, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2584), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u2585) | ( c_Power_Opower__class_Opower(_u2585) = c_Power_Opower_Opower(_u2585, c_Groups_Oone__class_Oone(_u2585), c_Groups_Otimes__class_Otimes(_u2585))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_of__real_Ononneg__bounded ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_of__real_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2588) | ~class_RealVector_Oreal__normed__vector(_u2588) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem26(_u2588)) )).
% 15.12/15.31 cnf(fact_of__real_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__algebra__1(_u2588) | ~class_RealVector_Oreal__normed__vector(_u2588) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2588, c_RealVector_Oof__real(_u2588, _u2586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2586)), skolem26(_u2588))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2589, _u2590, _u2591), _u2592), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2590) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_lemmaCauchy ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult__left_Opos__bounded ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult_Opos__bounded ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_mult_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2606) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem29(_u2606)) )).
% 15.12/15.31 cnf(fact_mult_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2606) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2606, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2606), _u2604), _u2603)), 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(_u2606, _u2604)), c_RealVector_Onorm__class_Onorm(_u2606, _u2603))), skolem29(_u2606))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult__right_Opos__bounded ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_mult__right_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2609) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem30(_u2610, _u2609)) )).
% 15.12/15.31 cnf(fact_mult__right_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2609) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2609, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2609), _u2610), _u2607)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2609, _u2607)), skolem30(_u2610, _u2609))) )).
% 15.12/15.31
% 15.12/15.31 % 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:
% 15.12/15.31 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____)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__add__one ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__one ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__zero ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_zero__le__natfloor ( axiom ) converted to clauses:
% 15.12/15.31 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(_u2614)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__mono ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natfloor__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2615, _u2616) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u2615), c_RComplete_Onatfloor(_u2616)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__neg ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natfloor__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2617, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u2617) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__natfloor__eq__one ( axiom ) converted to clauses:
% 15.12/15.31 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(_u2619)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2619) )).
% 15.12/15.31 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), _u2620) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2620)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__mult__natfloor ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_le__mult__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2621) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2622) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2621)), c_RComplete_Onatfloor(_u2622)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2621), _u2622))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_tsub__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2625, _u2627) | ( c_Nat__Transfer_Otsub(_u2627, _u2625) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2627, _u2625)) )).
% 15.12/15.31 cnf(fact_tsub__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2626, _u2628) | ( c_Nat__Transfer_Otsub(_u2628, _u2626) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2629, _u2630) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2629, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2630, _u2631)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 15.12/15.31 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), _u2632) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2633) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_u2632, _u2633)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_tsub__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2634, _u2635) | ( c_Nat__Transfer_Otsub(_u2635, _u2634) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2635, _u2634)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2636, _u2637) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2636, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, _u2637)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_termination__basic__simps_I1_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, _u2640, _u2641)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, _u2643) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2642, _u2643) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2644, _u2645) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2644, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2646, _u2645)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__eq ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pos__poly__pCons ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__ge__zero ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__diff ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_not__real__of__nat__less__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_not__real__of__nat__less__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2655), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__less__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__less__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2658), c_RealDef_Oreal(tc_Nat_Onat, _u2660)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2658, _u2660) )).
% 15.12/15.31 cnf(fact_real__of__nat__less__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2659, _u2661) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2659), c_RealDef_Oreal(tc_Nat_Onat, _u2661)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pos__poly__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_pos__poly__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2662) | ~c_Polynomial_Opos__poly(_u2662, _u2663) | ~c_Polynomial_Opos__poly(_u2662, _u2664) | c_Polynomial_Opos__poly(_u2662, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2662), _u2663, _u2664)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__mult-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2665), _u2666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2665)), c_RealDef_Oreal(tc_Nat_Onat, _u2666))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pos__poly__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_pos__poly__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u2667) | ~c_Polynomial_Opos__poly(_u2667, _u2668) | ~c_Polynomial_Opos__poly(_u2667, _u2669) | c_Polynomial_Opos__poly(_u2667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2667)), _u2668), _u2669)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_not__pos__poly__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_not__pos__poly__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2670) | ~c_Polynomial_Opos__poly(_u2670, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2670))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__zero__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__zero__iff-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2672) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(fact_real__of__nat__zero__iff-2, axiom, ( ( _u2673 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2673) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__zero ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__inject ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__inject-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2676) != c_RealDef_Oreal(tc_Nat_Onat, _u2678)) | ( _u2676 = _u2678) )).
% 15.12/15.31 cnf(fact_real__of__nat__inject-2, axiom, ( ( _u2677 != _u2679) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2677) = c_RealDef_Oreal(tc_Nat_Onat, _u2679)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__add-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2680, _u2681)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2680), c_RealDef_Oreal(tc_Nat_Onat, _u2681))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__1 ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_abs__real__of__nat__cancel ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_abs__real__of__nat__cancel-1, axiom, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2682)) = c_RealDef_Oreal(tc_Nat_Onat, _u2682)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_power__real__of__nat ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_power__real__of__nat-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2683)), _u2684) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2683), _u2684))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__power ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__power-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2685), _u2686)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2685)), _u2686)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__le__zero__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__eq__poly__def ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_less__eq__poly__def-1, axiom, ( ~class_Rings_Olinordered__idom(_u2690) | ~c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ( _u2691 = _u2692) | c_Polynomial_Opos__poly(_u2690, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2690), _u2692, _u2691)) )).
% 15.12/15.31 cnf(fact_less__eq__poly__def-2, axiom, ( ~class_Rings_Olinordered__idom(_u2690) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ( _u2691 != _u2692) )).
% 15.12/15.31 cnf(fact_less__eq__poly__def-3, axiom, ( ~class_Rings_Olinordered__idom(_u2690) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ~c_Polynomial_Opos__poly(_u2690, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2690), _u2692, _u2691)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__natceiling__ge ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__natceiling__ge-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2693, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u2693))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__le__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_real__of__nat__le__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2696), c_RealDef_Oreal(tc_Nat_Onat, _u2698)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2696, _u2698) )).
% 15.12/15.31 cnf(fact_real__of__nat__le__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2697, _u2699) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2697), c_RealDef_Oreal(tc_Nat_Onat, _u2699)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__real__of__nat ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natceiling__real__of__nat-1, axiom, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u2700)) = _u2700) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__real__of__nat ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_natfloor__real__of__nat-1, axiom, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u2701)) = _u2701) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__natfloor__le ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__natfloor ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__le ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__power ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__of__nat__gt__zero__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_nat__less__real__le ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_nat__le__real__less ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_le__natfloor__eq ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_pos__poly__total ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__le__eq ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__natfloor__add__one__gt ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__subtract ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_real__natfloor__gt__diff__one ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__subtract ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__natfloor ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__add ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_ge__natfloor__plus__one__imp__gt ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natfloor__eq ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_natceiling__add ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_less__poly__def ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_LIMSEQ__inverse__realpow__zero__lemma ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_reals__Archimedean6 ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_Limits_Ominus__diff__minus ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_poly__cont ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_decseq__def ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2778) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2779) = _u2779) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2780) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2780), _u2781), _u2781) = _u2781) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_of__real_Obounded ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__poly__def ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31 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))) )).
% 15.12/15.31 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)))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), c_Groups_Osgn__class_Osgn(_u2799, _u2800)) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), _u2800) )).
% 15.12/15.31 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), _u2800) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), c_Groups_Osgn__class_Osgn(_u2799, _u2800)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Osgn__class_Osgn(_u2801, _u2802), c_Groups_Ozero__class_Ozero(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Ozero__class_Ozero(_u2801)) )).
% 15.12/15.31 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Ozero__class_Ozero(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Osgn__class_Osgn(_u2801, _u2802), c_Groups_Ozero__class_Ozero(_u2801)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u2803) | ( c_Groups_Osgn__class_Osgn(_u2803, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2803), _u2804), _u2805)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2803), c_Groups_Osgn__class_Osgn(_u2803, _u2804)), c_Groups_Osgn__class_Osgn(_u2803, _u2805))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u2806) | ( c_Groups_Osgn__class_Osgn(_u2806, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), _u2807), _u2808)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), c_Groups_Osgn__class_Osgn(_u2806, _u2807)), c_Groups_Osgn__class_Osgn(_u2806, _u2808))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u2809) | ( c_Groups_Osgn__class_Osgn(_u2809, c_Groups_Ozero__class_Ozero(_u2809)) = c_Groups_Ozero__class_Ozero(_u2809)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__zero__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2810) | ( c_Groups_Osgn__class_Osgn(_u2810, _u2811) != c_Groups_Ozero__class_Ozero(_u2810)) | ( _u2811 = c_Groups_Ozero__class_Ozero(_u2810)) )).
% 15.12/15.31 cnf(fact_sgn__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2810) | ( _u2811 != c_Groups_Ozero__class_Ozero(_u2810)) | ( c_Groups_Osgn__class_Osgn(_u2810, _u2811) = c_Groups_Ozero__class_Ozero(_u2810)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2812) | ( c_Groups_Osgn__class_Osgn(_u2812, _u2813) != c_Groups_Ozero__class_Ozero(_u2812)) | ( _u2813 = c_Groups_Ozero__class_Ozero(_u2812)) )).
% 15.12/15.31 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u2812) | ( _u2813 != c_Groups_Ozero__class_Ozero(_u2812)) | ( c_Groups_Osgn__class_Osgn(_u2812, _u2813) = c_Groups_Ozero__class_Ozero(_u2812)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2814) | ( c_Groups_Osgn__class_Osgn(_u2814, c_Groups_Ozero__class_Ozero(_u2814)) = c_Groups_Ozero__class_Ozero(_u2814)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2815) | ( c_Groups_Osgn__class_Osgn(_u2815, c_Groups_Osgn__class_Osgn(_u2815, _u2816)) = c_Groups_Osgn__class_Osgn(_u2815, _u2816)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__of__real ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__of__real-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u2817) | ( c_Groups_Osgn__class_Osgn(_u2817, c_RealVector_Oof__real(_u2817, _u2818)) = c_RealVector_Oof__real(_u2817, c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2818))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2819) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2819), c_Groups_Osgn__class_Osgn(_u2819, _u2820)), c_Groups_Oabs__class_Oabs(_u2819, _u2820)) = _u2820) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u2821) | ( c_Groups_Oabs__class_Oabs(_u2821, _u2822) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2821), _u2822), c_Groups_Osgn__class_Osgn(_u2821, _u2822))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, c_Groups_Oone__class_Oone(_u2823)) = c_Groups_Oone__class_Oone(_u2823)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__minus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_sgn__minus-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2824) | ( c_Groups_Osgn__class_Osgn(_u2824, c_Groups_Ouminus__class_Ouminus(_u2824, _u2825)) = c_Groups_Ouminus__class_Ouminus(_u2824, c_Groups_Osgn__class_Osgn(_u2824, _u2825))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_norm__sgn ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_order__1 ( axiom ) converted to clauses:
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_offset__poly__pCons ( axiom ) converted to clauses:
% 15.12/15.31 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)))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__0__right ( axiom ) converted to clauses:
% 15.12/15.31 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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__diff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__diff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2850) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ominus__class_Ominus(_u2847, _u2849, _u2850)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_minus__dvd__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_minus__dvd__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2851) | ~c_Rings_Odvd__class_Odvd(_u2851, c_Groups_Ouminus__class_Ouminus(_u2851, _u2852), _u2853) | c_Rings_Odvd__class_Odvd(_u2851, _u2852, _u2853) )).
% 15.12/15.31 cnf(fact_minus__dvd__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u2851) | ~c_Rings_Odvd__class_Odvd(_u2851, _u2852, _u2853) | c_Rings_Odvd__class_Odvd(_u2851, c_Groups_Ouminus__class_Ouminus(_u2851, _u2852), _u2853) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__minus__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__minus__iff-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2854) | ~c_Rings_Odvd__class_Odvd(_u2854, _u2855, c_Groups_Ouminus__class_Ouminus(_u2854, _u2856)) | c_Rings_Odvd__class_Odvd(_u2854, _u2855, _u2856) )).
% 15.12/15.31 cnf(fact_dvd__minus__iff-2, axiom, ( ~class_Rings_Ocomm__ring__1(_u2854) | ~c_Rings_Odvd__class_Odvd(_u2854, _u2855, _u2856) | c_Rings_Odvd__class_Odvd(_u2854, _u2855, c_Groups_Ouminus__class_Ouminus(_u2854, _u2856)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_inf__period_I4_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_inf__period_I4_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)) )).
% 15.12/15.31 cnf(fact_inf__period_I4_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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_inf__period_I3_J ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_inf__period_I3_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)) )).
% 15.12/15.31 cnf(fact_inf__period_I3_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)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_smult__dvd__iff ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_unity__coeff__ex ( axiom ) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31 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))) )).
% 15.12/15.31 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)))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__if__abs__eq ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__if__abs__eq-1, axiom, ( ~class_Rings_Olinordered__idom(_u2888) | ( c_Groups_Oabs__class_Oabs(_u2888, _u2889) != c_Groups_Oabs__class_Oabs(_u2888, _u2890)) | c_Rings_Odvd__class_Odvd(_u2888, _u2889, _u2890) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_abs__dvd__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_abs__dvd__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2891) | ~c_Rings_Odvd__class_Odvd(_u2891, c_Groups_Oabs__class_Oabs(_u2891, _u2892), _u2893) | c_Rings_Odvd__class_Odvd(_u2891, _u2892, _u2893) )).
% 15.12/15.31 cnf(fact_abs__dvd__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2891) | ~c_Rings_Odvd__class_Odvd(_u2891, _u2892, _u2893) | c_Rings_Odvd__class_Odvd(_u2891, c_Groups_Oabs__class_Oabs(_u2891, _u2892), _u2893) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__abs__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__abs__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2894) | ~c_Rings_Odvd__class_Odvd(_u2894, _u2895, c_Groups_Oabs__class_Oabs(_u2894, _u2896)) | c_Rings_Odvd__class_Odvd(_u2894, _u2895, _u2896) )).
% 15.12/15.31 cnf(fact_dvd__abs__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2894) | ~c_Rings_Odvd__class_Odvd(_u2894, _u2895, _u2896) | c_Rings_Odvd__class_Odvd(_u2894, _u2895, c_Groups_Oabs__class_Oabs(_u2894, _u2896)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__power__same ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__power__same-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2897) | ~c_Rings_Odvd__class_Odvd(_u2897, _u2898, _u2899) | c_Rings_Odvd__class_Odvd(_u2897, hAPP(hAPP(c_Power_Opower__class_Opower(_u2897), _u2898), _u2900), hAPP(hAPP(c_Power_Opower__class_Opower(_u2897), _u2899), _u2900)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_one__dvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_one__dvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2901) | c_Rings_Odvd__class_Odvd(_u2901, c_Groups_Oone__class_Oone(_u2901), _u2902) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_offset__poly__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_offset__poly__eq__0__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2903) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2903, _u2904, _u2905) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) | ( _u2904 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) )).
% 15.12/15.31 cnf(fact_offset__poly__eq__0__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2903) | ( _u2904 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2903, _u2904, _u2905) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_offset__poly__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_offset__poly__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2906) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2906, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2906)), _u2907) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2906))) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__add-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2908) | ~c_Rings_Odvd__class_Odvd(_u2908, _u2909, _u2910) | ~c_Rings_Odvd__class_Odvd(_u2908, _u2909, _u2911) | c_Rings_Odvd__class_Odvd(_u2908, _u2909, c_Groups_Oplus__class_Oplus(_u2908, _u2910, _u2911)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__trans ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__trans-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2912) | ~c_Rings_Odvd__class_Odvd(_u2912, _u2913, _u2914) | ~c_Rings_Odvd__class_Odvd(_u2912, _u2914, _u2915) | c_Rings_Odvd__class_Odvd(_u2912, _u2913, _u2915) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__refl ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__refl-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2916) | c_Rings_Odvd__class_Odvd(_u2916, _u2917, _u2917) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__0__left ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2918) | ~c_Rings_Odvd__class_Odvd(_u2918, c_Groups_Ozero__class_Ozero(_u2918), _u2919) | ( _u2919 = c_Groups_Ozero__class_Ozero(_u2918)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__mult__cancel__left ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__mult__cancel__left-1, axiom, ( ~class_Rings_Oidom(_u2920) | ~c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ( _u2921 = c_Groups_Ozero__class_Ozero(_u2920)) | c_Rings_Odvd__class_Odvd(_u2920, _u2922, _u2923) )).
% 15.12/15.31 cnf(fact_dvd__mult__cancel__left-2, axiom, ( ~class_Rings_Oidom(_u2920) | c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ( _u2921 != c_Groups_Ozero__class_Ozero(_u2920)) )).
% 15.12/15.31 cnf(fact_dvd__mult__cancel__left-3, axiom, ( ~class_Rings_Oidom(_u2920) | c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ~c_Rings_Odvd__class_Odvd(_u2920, _u2922, _u2923) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__mult__cancel__right ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__mult__cancel__right-1, axiom, ( ~class_Rings_Oidom(_u2924) | ~c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ( _u2926 = c_Groups_Ozero__class_Ozero(_u2924)) | c_Rings_Odvd__class_Odvd(_u2924, _u2925, _u2927) )).
% 15.12/15.31 cnf(fact_dvd__mult__cancel__right-2, axiom, ( ~class_Rings_Oidom(_u2924) | c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ( _u2926 != c_Groups_Ozero__class_Ozero(_u2924)) )).
% 15.12/15.31 cnf(fact_dvd__mult__cancel__right-3, axiom, ( ~class_Rings_Oidom(_u2924) | c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ~c_Rings_Odvd__class_Odvd(_u2924, _u2925, _u2927) )).
% 15.12/15.31
% 15.12/15.31 % Formula: fact_dvd__triv__left ( axiom ) converted to clauses:
% 15.12/15.31 cnf(fact_dvd__triv__left-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2928) | c_Rings_Odvd__class_Odvd(_u2928, _u2929, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2929), _u2930)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2931) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u2931)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2932) | class_Lattices_Oboolean__algebra(tc_fun(_u2933, _u2932)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u2934) | class_Orderings_Opreorder(tc_fun(_u2935, _u2934)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u2936) | class_Orderings_Oorder(tc_fun(_u2937, _u2936)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u2938) | class_Orderings_Oord(tc_fun(_u2939, _u2938)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u2940) | class_Groups_Ouminus(tc_fun(_u2941, _u2940)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u2942) | class_Groups_Ominus(tc_fun(_u2943, _u2942)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Int__Oint__Rings_Odvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Int__Oint__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Int_Oint) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Nat__Onat__Rings_Odvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Nat__Onat__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero-1, axiom, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__div__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__div__algebra-1, axiom, ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__RealVector_Oreal__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__RealVector_Oreal__algebra__1-1, axiom, ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Fields_Olinordered__field-1, axiom, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Fields_Ofield ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Power_Opower-1, axiom, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_RealDef__Oreal__Rings_Odvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_RealDef__Oreal__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__div__algebra ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__div__algebra-1, axiom, ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__RealVector_Oreal__algebra__1-1, axiom, ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Fields_Ofield ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Power_Opower-1, axiom, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Complex__Ocomplex__Rings_Odvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Complex__Ocomplex__Rings_Odvd-1, axiom, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( ~class_Rings_Oidom(_u2944) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u2944)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2945) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2945)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2946) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u2946)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2947) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u2947)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2948) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u2948)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2949) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u2949)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2950) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u2950)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2951) | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(_u2951)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2952) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u2952)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2953) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u2953)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2954) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2954)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2955) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u2955)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2956) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u2956)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u2957) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u2957)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2958) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u2958)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2959) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u2959)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1-1, axiom, ( ~class_Rings_Olinordered__idom(_u2960) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u2960)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u2961) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u2961)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u2962) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u2962)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2963) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u2963)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semidom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2964) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u2964)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2965) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u2965)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2966) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u2966)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2967) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u2967)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2968) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u2968)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oordered__ring__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2969) | class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(_u2969)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ono__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u2970) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u2970)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2971) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u2971)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2972) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u2972)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Olinordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u2973) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u2973)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2974) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u2974)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2975) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u2975)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2976) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u2976)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oab__group__add-1, axiom, ( ~class_Groups_Oab__group__add(_u2977) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u2977)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ozero__neq__one-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2978) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u2978)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u2979) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u2979)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Orderings_Opreorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u2980) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u2980)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Orderings_Olinorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u2981) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u2981)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Omonoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2982) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u2982)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2983) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u2983)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Omonoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2984) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u2984)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Osemiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2985) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u2985)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ogroup__add-1, axiom, ( ~class_Groups_Oab__group__add(_u2986) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u2986)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Omult__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2987) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u2987)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring-1, axiom, ( ~class_Rings_Ocomm__ring(_u2988) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u2988)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Orderings_Oorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u2989) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u2989)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Int_Oring__char__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2990) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u2990)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Osemiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2991) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u2991)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Orderings_Oord-1, axiom, ( ~class_Rings_Olinordered__idom(_u2992) | class_Orderings_Oord(tc_Polynomial_Opoly(_u2992)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ouminus-1, axiom, ( ~class_Groups_Oab__group__add(_u2993) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u2993)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Osgn__if-1, axiom, ( ~class_Rings_Olinordered__idom(_u2994) | class_Groups_Osgn__if(tc_Polynomial_Opoly(_u2994)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oabs__if-1, axiom, ( ~class_Rings_Olinordered__idom(_u2995) | class_Groups_Oabs__if(tc_Polynomial_Opoly(_u2995)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u2996) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u2996)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ominus ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ominus-1, axiom, ( ~class_Groups_Oab__group__add(_u2997) | class_Groups_Ominus(tc_Polynomial_Opoly(_u2997)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Power_Opower-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2998) | class_Power_Opower(tc_Polynomial_Opoly(_u2998)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Ozero-1, axiom, ( ~class_Groups_Ozero(_u2999) | class_Groups_Ozero(tc_Polynomial_Opoly(_u2999)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oring-1, axiom, ( ~class_Rings_Ocomm__ring(_u3000) | class_Rings_Oring(tc_Polynomial_Opoly(_u3000)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Oidom-1, axiom, ( ~class_Rings_Oidom(_u3001) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3001)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Groups_Oone-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3002) | class_Groups_Oone(tc_Polynomial_Opoly(_u3002)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: arity_Polynomial__Opoly__Rings_Odvd ( axiom ) converted to clauses:
% 15.12/15.31 cnf(arity_Polynomial__Opoly__Rings_Odvd-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3003) | class_Rings_Odvd(tc_Polynomial_Opoly(_u3003)) )).
% 15.12/15.31
% 15.12/15.31 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 15.12/15.31 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))) )).
% 15.12/15.31
% 15.12/15.31 % Problem matrix:
% 15.12/15.31 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.12/15.31 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.12/15.31 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.12/15.31 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Polynomial_Opoly(__eqx_0) = tc_Polynomial_Opoly(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatceiling(__eqx_0) = c_RComplete_Onatceiling(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatfloor(__eqx_0) = c_RComplete_Onatfloor(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( skolem11(__eqx_0) = skolem11(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( skolem12(__eqx_0) = skolem12(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( skolem13(__eqx_0) = skolem13(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( skolem15(__eqx_0) = skolem15(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.12/15.31 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( skolem26(__eqx_0) = skolem26(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem28(__eqx_0, __eqx_1) = skolem28(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( skolem29(__eqx_0) = skolem29(__eqy_0)) )).
% 15.12/15.31 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem30(__eqx_0, __eqx_1) = skolem30(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( skolem32(__eqx_0) = skolem32(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem35(__eqx_0, __eqx_1) = skolem35(__eqy_0, __eqy_1)) )).
% 15.12/15.31 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( skolem36(__eqx_0) = skolem36(__eqy_0)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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)) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 15.12/15.31 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 15.12/15.31 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__vector(__eqx_0) | class_RealVector_Oreal__normed__vector(__eqy_0) )).
% 15.12/15.31 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 15.12/15.31 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 15.12/15.31 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__div__algebra(__eqx_0) | class_RealVector_Oreal__normed__div__algebra(__eqy_0) )).
% 15.12/15.31 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 15.12/15.31 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 15.12/15.31 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 15.12/15.31 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 15.12/15.31 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra__1(__eqx_0) | class_RealVector_Oreal__normed__algebra__1(__eqy_0) )).
% 15.12/15.31 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 15.12/15.31 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 15.12/15.31 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 15.12/15.31 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 15.12/15.31 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 15.12/15.31 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 15.12/15.31 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 15.12/15.31 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 15.12/15.31 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 15.12/15.31 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 15.12/15.31 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 15.12/15.31 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 15.12/15.31 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 15.12/15.31 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 15.12/15.31 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 15.12/15.31 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__algebra__1(__eqx_0) | class_RealVector_Oreal__algebra__1(__eqy_0) )).
% 15.12/15.31 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 15.12/15.31 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__div__algebra(__eqx_0) | class_RealVector_Oreal__div__algebra(__eqy_0) )).
% 15.12/15.31 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 15.12/15.31 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 15.12/15.31 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 15.12/15.31 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 15.12/15.31 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-111, 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) )).
% 15.12/15.31 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 15.12/15.31 cnf(matrix-115, 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) )).
% 15.12/15.31 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 15.12/15.31 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 15.12/15.31 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__0(__eqx_0) | class_Rings_Ocomm__semiring__0(__eqy_0) )).
% 15.12/15.31 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 15.12/15.31 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 15.12/15.31 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 15.12/15.31 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 15.12/15.31 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 15.12/15.31 cnf(matrix-127, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 15.12/15.31 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) )).
% 15.12/15.31 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) )).
% 15.12/15.31 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 15.12/15.31 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 15.12/15.31 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 15.12/15.31 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 15.12/15.31 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 15.12/15.31 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) )).
% 15.12/15.31 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odvd(__eqx_0) | class_Rings_Odvd(__eqy_0) )).
% 15.12/15.31 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__comm__monoid__add(__eqx_0) | class_Groups_Ocancel__comm__monoid__add(__eqy_0) )).
% 15.12/15.31 cnf(matrix-138, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.12/15.31 cnf(matrix-139, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_t____) )).
% 15.12/15.31 cnf(matrix-140, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-141, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____) )).
% 15.12/15.31 cnf(matrix-142, plain, ( ( v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-143, 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____)) )).
% 15.12/15.31 cnf(matrix-144, 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)) )).
% 15.12/15.31 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____))) )).
% 15.12/15.31 cnf(matrix-146, 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____))) )).
% 15.12/15.31 cnf(matrix-147, 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____))) )).
% 15.12/15.31 cnf(matrix-148, plain, ( ~class_Rings_Olinordered__semidom(_u3) | ~c_Orderings_Oord__class_Oless(_u3, c_Groups_Ozero__class_Ozero(_u3), _u4) | ~c_Orderings_Oord__class_Oless(_u3, _u4, c_Groups_Oone__class_Oone(_u3)) | c_Orderings_Oord__class_Oless(_u3, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3), _u4), hAPP(hAPP(c_Power_Opower__class_Opower(_u3), _u4), _u5)), hAPP(hAPP(c_Power_Opower__class_Opower(_u3), _u4), _u5)) )).
% 15.12/15.31 cnf(matrix-149, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2(_u7)) )).
% 15.12/15.31 cnf(matrix-150, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2(_u7), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-151, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u7) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2(_u7), _u7) )).
% 15.12/15.31 cnf(matrix-152, plain, ( ~class_RealVector_Oreal__normed__algebra(_u8) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, _u9), _u10) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, _u11), _u12) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u8, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8), _u9), _u11)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u10), _u12)) )).
% 15.12/15.31 cnf(matrix-153, plain, ( ~class_RealVector_Oreal__normed__vector(_u13) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u13, _u14)) | ( _u14 != c_Groups_Ozero__class_Ozero(_u13)) )).
% 15.12/15.31 cnf(matrix-154, plain, ( ~class_RealVector_Oreal__normed__vector(_u13) | ( _u14 = c_Groups_Ozero__class_Ozero(_u13)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u13, _u14)) )).
% 15.12/15.31 cnf(matrix-155, plain, ( ~class_Rings_Olinordered__semidom(_u15) | ~c_Orderings_Oord__class_Oless(_u15, c_Groups_Oone__class_Oone(_u15), _u16) | c_Orderings_Oord__class_Oless(_u15, c_Groups_Oone__class_Oone(_u15), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15), _u16), hAPP(hAPP(c_Power_Opower__class_Opower(_u15), _u16), _u17))) )).
% 15.12/15.31 cnf(matrix-156, plain, ( ~class_Rings_Olinordered__semidom(_u18) | ~c_Orderings_Oord__class_Oless(_u18, c_Groups_Oone__class_Oone(_u18), _u19) | c_Orderings_Oord__class_Oless(_u18, hAPP(hAPP(c_Power_Opower__class_Opower(_u18), _u19), _u20), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u18), _u19), hAPP(hAPP(c_Power_Opower__class_Opower(_u18), _u19), _u20))) )).
% 15.12/15.31 cnf(matrix-157, plain, ( ~class_Rings_Olinordered__semidom(_u21) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u22, _u23) | ~c_Orderings_Oord__class_Oless(_u21, c_Groups_Ozero__class_Ozero(_u21), _u24) | ~c_Orderings_Oord__class_Oless(_u21, _u24, c_Groups_Oone__class_Oone(_u21)) | c_Orderings_Oord__class_Oless(_u21, hAPP(hAPP(c_Power_Opower__class_Opower(_u21), _u24), _u23), hAPP(hAPP(c_Power_Opower__class_Opower(_u21), _u24), _u22)) )).
% 15.12/15.31 cnf(matrix-158, plain, ( ~class_Rings_Olinordered__semidom(_u25) | c_Orderings_Oord__class_Oless(_u25, c_Groups_Ozero__class_Ozero(_u25), c_Groups_Oplus__class_Oplus(_u25, c_Groups_Oone__class_Oone(_u25), c_Groups_Oone__class_Oone(_u25))) )).
% 15.12/15.31 cnf(matrix-159, plain, ( ~class_Rings_Olinordered__ring(_u26) | ~c_Orderings_Oord__class_Oless(_u26, c_Groups_Oplus__class_Oplus(_u26, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), _u27), _u27), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u26), _u28), _u28)), c_Groups_Ozero__class_Ozero(_u26)) )).
% 15.12/15.31 cnf(matrix-160, plain, ( ~class_Rings_Olinordered__ring__strict(_u29) | ~c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u30 != c_Groups_Ozero__class_Ozero(_u29)) | ( _u31 != c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.31 cnf(matrix-161, plain, ( ~class_Rings_Olinordered__ring__strict(_u29) | c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u30 = c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.31 cnf(matrix-162, plain, ( ~class_Rings_Olinordered__ring__strict(_u29) | c_Orderings_Oord__class_Oless(_u29, c_Groups_Ozero__class_Ozero(_u29), c_Groups_Oplus__class_Oplus(_u29, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u30), _u30), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u29), _u31), _u31))) | ( _u31 = c_Groups_Ozero__class_Ozero(_u29)) )).
% 15.12/15.31 cnf(matrix-163, plain, ( ( v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.31 cnf(matrix-164, plain, ( ( v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.31 cnf(matrix-165, 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)) )).
% 15.12/15.31 cnf(matrix-166, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u32), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u32, _u33)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u33))) )).
% 15.12/15.31 cnf(matrix-167, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u34) | ( c_Rings_Oinverse__class_Oinverse(_u34, c_Rings_Oinverse__class_Oinverse(_u34, _u35)) = _u35) )).
% 15.12/15.31 cnf(matrix-168, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u36) | ~class_Rings_Odivision__ring__inverse__zero(_u36) | ( c_RealVector_Onorm__class_Onorm(_u36, c_Rings_Oinverse__class_Oinverse(_u36, _u37)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u36, _u37))) )).
% 15.12/15.31 cnf(matrix-169, 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), _u40), _u42)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u40) | ( _u42 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-170, 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), _u41), _u43)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u41) )).
% 15.12/15.31 cnf(matrix-171, 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), _u41), _u43)) | ( _u43 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-172, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u44) | ( c_Rings_Oinverse__class_Oinverse(_u44, _u45) != c_Rings_Oinverse__class_Oinverse(_u44, _u46)) | ( _u45 = _u46) )).
% 15.12/15.31 cnf(matrix-173, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u44) | ( _u45 != _u46) | ( c_Rings_Oinverse__class_Oinverse(_u44, _u45) = c_Rings_Oinverse__class_Oinverse(_u44, _u46)) )).
% 15.12/15.31 cnf(matrix-174, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u47) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u47), _u48), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u47), _u49)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u48, _u49) )).
% 15.12/15.31 cnf(matrix-175, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u50) | ( c_Rings_Oinverse__class_Oinverse(_u50, _u51) != c_Rings_Oinverse__class_Oinverse(_u50, _u52)) | ( _u51 = _u52) )).
% 15.12/15.31 cnf(matrix-176, plain, ( ~class_Rings_Odivision__ring(_u53) | ( c_Rings_Oinverse__class_Oinverse(_u53, _u54) != c_Rings_Oinverse__class_Oinverse(_u53, _u55)) | ( _u54 = c_Groups_Ozero__class_Ozero(_u53)) | ( _u55 = c_Groups_Ozero__class_Ozero(_u53)) | ( _u54 = _u55) )).
% 15.12/15.31 cnf(matrix-177, plain, ( ~class_Rings_Odivision__ring(_u56) | ( c_Rings_Oinverse__class_Oinverse(_u56, _u57) != c_Groups_Ozero__class_Ozero(_u56)) | ( _u57 = c_Groups_Ozero__class_Ozero(_u56)) )).
% 15.12/15.31 cnf(matrix-178, plain, ( ~class_Rings_Odivision__ring(_u58) | ( _u59 = c_Groups_Ozero__class_Ozero(_u58)) | ( c_Rings_Oinverse__class_Oinverse(_u58, c_Rings_Oinverse__class_Oinverse(_u58, _u59)) = _u59) )).
% 15.12/15.31 cnf(matrix-179, plain, ( ~class_Rings_Odivision__ring(_u60) | ( _u61 = c_Groups_Ozero__class_Ozero(_u60)) | ( c_Rings_Oinverse__class_Oinverse(_u60, _u61) != c_Groups_Ozero__class_Ozero(_u60)) )).
% 15.12/15.31 cnf(matrix-180, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u62) | ( c_Rings_Oinverse__class_Oinverse(_u62, _u63) != c_Groups_Ozero__class_Ozero(_u62)) | ( _u63 = c_Groups_Ozero__class_Ozero(_u62)) )).
% 15.12/15.31 cnf(matrix-181, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u62) | ( _u63 != c_Groups_Ozero__class_Ozero(_u62)) | ( c_Rings_Oinverse__class_Oinverse(_u62, _u63) = c_Groups_Ozero__class_Ozero(_u62)) )).
% 15.12/15.31 cnf(matrix-182, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u64) | ( c_Rings_Oinverse__class_Oinverse(_u64, c_Groups_Ozero__class_Ozero(_u64)) = c_Groups_Ozero__class_Ozero(_u64)) )).
% 15.12/15.31 cnf(matrix-183, plain, ( ~class_Rings_Odivision__ring(_u65) | ( c_Rings_Oinverse__class_Oinverse(_u65, c_Groups_Oone__class_Oone(_u65)) = c_Groups_Oone__class_Oone(_u65)) )).
% 15.12/15.31 cnf(matrix-184, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u66) | ( c_Rings_Oinverse__class_Oinverse(_u66, hAPP(hAPP(c_Power_Opower__class_Opower(_u66), _u67), _u68)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u66), c_Rings_Oinverse__class_Oinverse(_u66, _u67)), _u68)) )).
% 15.12/15.31 cnf(matrix-185, plain, ( ~class_Groups_Omonoid__mult(_u69) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u69), _u70), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u71), _u72)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u69), hAPP(hAPP(c_Power_Opower__class_Opower(_u69), _u70), _u71)), _u72)) )).
% 15.12/15.31 cnf(matrix-186, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u73) | ( _u74 = c_Groups_Ozero__class_Ozero(_u73)) | ( c_RealVector_Onorm__class_Onorm(_u73, c_Rings_Oinverse__class_Oinverse(_u73, _u74)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u73, _u74))) )).
% 15.12/15.31 cnf(matrix-187, plain, ( ~class_Rings_Olinordered__semidom(_u75) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u75), _u76), _u77) != hAPP(hAPP(c_Power_Opower__class_Opower(_u75), _u78), _u77)) | ~c_Orderings_Oord__class_Oless__eq(_u75, c_Groups_Ozero__class_Ozero(_u75), _u76) | ~c_Orderings_Oord__class_Oless__eq(_u75, c_Groups_Ozero__class_Ozero(_u75), _u78) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u77) | ( _u76 = _u78) )).
% 15.12/15.31 cnf(matrix-188, plain, ( ~class_Rings_Olinordered__semidom(_u79) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u80, _u81) | ~c_Orderings_Oord__class_Oless__eq(_u79, c_Groups_Oone__class_Oone(_u79), _u82) | c_Orderings_Oord__class_Oless__eq(_u79, hAPP(hAPP(c_Power_Opower__class_Opower(_u79), _u82), _u80), hAPP(hAPP(c_Power_Opower__class_Opower(_u79), _u82), _u81)) )).
% 15.12/15.31 cnf(matrix-189, plain, ( ~class_Rings_Olinordered__semidom(_u83) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u84, _u85) | ~c_Orderings_Oord__class_Oless__eq(_u83, c_Groups_Ozero__class_Ozero(_u83), _u86) | ~c_Orderings_Oord__class_Oless__eq(_u83, _u86, c_Groups_Oone__class_Oone(_u83)) | c_Orderings_Oord__class_Oless__eq(_u83, hAPP(hAPP(c_Power_Opower__class_Opower(_u83), _u86), _u85), hAPP(hAPP(c_Power_Opower__class_Opower(_u83), _u86), _u84)) )).
% 15.12/15.31 cnf(matrix-190, plain, ( ~class_Rings_Olinordered__semidom(_u87) | ~c_Orderings_Oord__class_Oless(_u87, c_Groups_Oone__class_Oone(_u87), _u88) | ~c_Orderings_Oord__class_Oless__eq(_u87, hAPP(hAPP(c_Power_Opower__class_Opower(_u87), _u88), _u89), hAPP(hAPP(c_Power_Opower__class_Opower(_u87), _u88), _u90)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u89, _u90) )).
% 15.12/15.31 cnf(matrix-191, plain, ( ~class_Rings_Olinordered__semidom(_u91) | ~c_Orderings_Oord__class_Oless(_u91, c_Groups_Oone__class_Oone(_u91), _u92) | ~c_Orderings_Oord__class_Oless__eq(_u91, hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u93), hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u94)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u93, _u94) )).
% 15.12/15.31 cnf(matrix-192, plain, ( ~class_Rings_Olinordered__semidom(_u91) | ~c_Orderings_Oord__class_Oless(_u91, c_Groups_Oone__class_Oone(_u91), _u92) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u93, _u94) | c_Orderings_Oord__class_Oless__eq(_u91, hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u93), hAPP(hAPP(c_Power_Opower__class_Opower(_u91), _u92), _u94)) )).
% 15.12/15.31 cnf(matrix-193, plain, ( ~class_Rings_Odivision__ring(_u95) | ( _u96 = c_Groups_Ozero__class_Ozero(_u95)) | ( _u97 = c_Groups_Ozero__class_Ozero(_u95)) | ( c_Rings_Oinverse__class_Oinverse(_u95, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u95), _u96), _u97)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u95), c_Rings_Oinverse__class_Oinverse(_u95, _u97)), c_Rings_Oinverse__class_Oinverse(_u95, _u96))) )).
% 15.12/15.31 cnf(matrix-194, plain, ( ~class_Rings_Odivision__ring(_u98) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u98), _u99), _u100) != c_Groups_Oone__class_Oone(_u98)) | ( c_Rings_Oinverse__class_Oinverse(_u98, _u99) = _u100) )).
% 15.12/15.31 cnf(matrix-195, plain, ( ~class_Rings_Odivision__ring(_u101) | ( _u102 = c_Groups_Ozero__class_Ozero(_u101)) | ( c_Rings_Oinverse__class_Oinverse(_u101, hAPP(hAPP(c_Power_Opower__class_Opower(_u101), _u102), _u103)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u101), c_Rings_Oinverse__class_Oinverse(_u101, _u102)), _u103)) )).
% 15.12/15.31 cnf(matrix-196, plain, ( ~class_Rings_Oordered__cancel__semiring(_u104) | c_Orderings_Oord__class_Oless__eq(_u104, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), _u106), c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, c_Groups_Ozero__class_Ozero(_u104), _u105) | ~c_Orderings_Oord__class_Oless__eq(_u104, _u106, c_Groups_Ozero__class_Ozero(_u104)) )).
% 15.12/15.31 cnf(matrix-197, plain, ( ~class_Rings_Oordered__cancel__semiring(_u104) | c_Orderings_Oord__class_Oless__eq(_u104, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u104), _u105), _u106), c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, _u105, c_Groups_Ozero__class_Ozero(_u104)) | ~c_Orderings_Oord__class_Oless__eq(_u104, c_Groups_Ozero__class_Ozero(_u104), _u106) )).
% 15.12/15.31 cnf(matrix-198, plain, ( ~class_Rings_Oordered__ring(_u107) | c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u107), _u108), _u109)) | ~c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), _u108) | ~c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), _u109) )).
% 15.12/15.31 cnf(matrix-199, plain, ( ~class_Rings_Oordered__ring(_u107) | c_Orderings_Oord__class_Oless__eq(_u107, c_Groups_Ozero__class_Ozero(_u107), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u107), _u108), _u109)) | ~c_Orderings_Oord__class_Oless__eq(_u107, _u108, c_Groups_Ozero__class_Ozero(_u107)) | ~c_Orderings_Oord__class_Oless__eq(_u107, _u109, c_Groups_Ozero__class_Ozero(_u107)) )).
% 15.12/15.31 cnf(matrix-200, plain, ( ~class_Rings_Oordered__semiring(_u110) | ~c_Orderings_Oord__class_Oless__eq(_u110, _u111, _u112) | ~c_Orderings_Oord__class_Oless__eq(_u110, _u113, _u114) | ~c_Orderings_Oord__class_Oless__eq(_u110, c_Groups_Ozero__class_Ozero(_u110), _u112) | ~c_Orderings_Oord__class_Oless__eq(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless__eq(_u110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), _u111), _u113), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u110), _u112), _u114)) )).
% 15.12/15.31 cnf(matrix-201, plain, ( ~class_Rings_Oordered__semiring(_u115) | ~c_Orderings_Oord__class_Oless__eq(_u115, _u116, _u117) | ~c_Orderings_Oord__class_Oless__eq(_u115, _u118, _u119) | ~c_Orderings_Oord__class_Oless__eq(_u115, c_Groups_Ozero__class_Ozero(_u115), _u116) | ~c_Orderings_Oord__class_Oless__eq(_u115, c_Groups_Ozero__class_Ozero(_u115), _u118) | c_Orderings_Oord__class_Oless__eq(_u115, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u115), _u116), _u118), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u115), _u117), _u119)) )).
% 15.12/15.31 cnf(matrix-202, plain, ( ~class_Rings_Oordered__ring(_u120) | ~c_Orderings_Oord__class_Oless__eq(_u120, _u121, _u122) | ~c_Orderings_Oord__class_Oless__eq(_u120, _u123, c_Groups_Ozero__class_Ozero(_u120)) | c_Orderings_Oord__class_Oless__eq(_u120, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u120), _u123), _u122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u120), _u123), _u121)) )).
% 15.12/15.31 cnf(matrix-203, plain, ( ~class_Rings_Oordered__ring(_u124) | ~c_Orderings_Oord__class_Oless__eq(_u124, _u125, _u126) | ~c_Orderings_Oord__class_Oless__eq(_u124, _u127, c_Groups_Ozero__class_Ozero(_u124)) | c_Orderings_Oord__class_Oless__eq(_u124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u124), _u126), _u127), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u124), _u125), _u127)) )).
% 15.12/15.31 cnf(matrix-204, plain, ( ~class_Rings_Oordered__comm__semiring(_u128) | ~c_Orderings_Oord__class_Oless__eq(_u128, _u129, _u130) | ~c_Orderings_Oord__class_Oless__eq(_u128, c_Groups_Ozero__class_Ozero(_u128), _u131) | c_Orderings_Oord__class_Oless__eq(_u128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u128), _u131), _u129), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u128), _u131), _u130)) )).
% 15.12/15.31 cnf(matrix-205, plain, ( ~class_Rings_Oordered__semiring(_u132) | ~c_Orderings_Oord__class_Oless__eq(_u132, _u133, _u134) | ~c_Orderings_Oord__class_Oless__eq(_u132, c_Groups_Ozero__class_Ozero(_u132), _u135) | c_Orderings_Oord__class_Oless__eq(_u132, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u132), _u135), _u133), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u132), _u135), _u134)) )).
% 15.12/15.31 cnf(matrix-206, plain, ( ~class_Rings_Oordered__semiring(_u136) | ~c_Orderings_Oord__class_Oless__eq(_u136, _u137, _u138) | ~c_Orderings_Oord__class_Oless__eq(_u136, c_Groups_Ozero__class_Ozero(_u136), _u139) | c_Orderings_Oord__class_Oless__eq(_u136, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u136), _u137), _u139), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u136), _u138), _u139)) )).
% 15.12/15.31 cnf(matrix-207, plain, ( ~class_Rings_Oordered__ring(_u140) | ~c_Orderings_Oord__class_Oless__eq(_u140, _u141, c_Groups_Ozero__class_Ozero(_u140)) | ~c_Orderings_Oord__class_Oless__eq(_u140, _u142, c_Groups_Ozero__class_Ozero(_u140)) | c_Orderings_Oord__class_Oless__eq(_u140, c_Groups_Ozero__class_Ozero(_u140), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u140), _u141), _u142)) )).
% 15.12/15.31 cnf(matrix-208, plain, ( ~class_Rings_Oordered__cancel__semiring(_u143) | ~c_Orderings_Oord__class_Oless__eq(_u143, _u144, c_Groups_Ozero__class_Ozero(_u143)) | ~c_Orderings_Oord__class_Oless__eq(_u143, c_Groups_Ozero__class_Ozero(_u143), _u145) | c_Orderings_Oord__class_Oless__eq(_u143, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u143), _u144), _u145), c_Groups_Ozero__class_Ozero(_u143)) )).
% 15.12/15.31 cnf(matrix-209, plain, ( ~class_Rings_Oordered__cancel__semiring(_u146) | ~c_Orderings_Oord__class_Oless__eq(_u146, c_Groups_Ozero__class_Ozero(_u146), _u147) | ~c_Orderings_Oord__class_Oless__eq(_u146, _u148, c_Groups_Ozero__class_Ozero(_u146)) | c_Orderings_Oord__class_Oless__eq(_u146, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u146), _u148), _u147), c_Groups_Ozero__class_Ozero(_u146)) )).
% 15.12/15.31 cnf(matrix-210, plain, ( ~class_Rings_Oordered__cancel__semiring(_u149) | ~c_Orderings_Oord__class_Oless__eq(_u149, c_Groups_Ozero__class_Ozero(_u149), _u150) | ~c_Orderings_Oord__class_Oless__eq(_u149, _u151, c_Groups_Ozero__class_Ozero(_u149)) | c_Orderings_Oord__class_Oless__eq(_u149, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u149), _u150), _u151), c_Groups_Ozero__class_Ozero(_u149)) )).
% 15.12/15.31 cnf(matrix-211, plain, ( ~class_Rings_Oordered__cancel__semiring(_u152) | ~c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), _u153) | ~c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), _u154) | c_Orderings_Oord__class_Oless__eq(_u152, c_Groups_Ozero__class_Ozero(_u152), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u152), _u153), _u154)) )).
% 15.12/15.31 cnf(matrix-212, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.31 cnf(matrix-213, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.31 cnf(matrix-214, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.31 cnf(matrix-215, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | ~c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) | c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.31 cnf(matrix-216, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u156) | ~c_Orderings_Oord__class_Oless__eq(_u155, _u157, c_Groups_Ozero__class_Ozero(_u155)) )).
% 15.12/15.31 cnf(matrix-217, plain, ( ~class_Rings_Olinordered__ring__strict(_u155) | c_Orderings_Oord__class_Oless__eq(_u155, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u155), _u156), _u157), c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, _u156, c_Groups_Ozero__class_Ozero(_u155)) | ~c_Orderings_Oord__class_Oless__eq(_u155, c_Groups_Ozero__class_Ozero(_u155), _u157) )).
% 15.12/15.31 cnf(matrix-218, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.31 cnf(matrix-219, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.31 cnf(matrix-220, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) | c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.31 cnf(matrix-221, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) | c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.31 cnf(matrix-222, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u159) | ~c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), _u160) )).
% 15.12/15.31 cnf(matrix-223, plain, ( ~class_Rings_Olinordered__ring__strict(_u158) | c_Orderings_Oord__class_Oless__eq(_u158, c_Groups_Ozero__class_Ozero(_u158), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u158), _u159), _u160)) | ~c_Orderings_Oord__class_Oless__eq(_u158, _u159, c_Groups_Ozero__class_Ozero(_u158)) | ~c_Orderings_Oord__class_Oless__eq(_u158, _u160, c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.31 cnf(matrix-224, plain, ( ~class_Rings_Olinordered__ring(_u161) | c_Orderings_Oord__class_Oless__eq(_u161, c_Groups_Ozero__class_Ozero(_u161), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u161), _u162), _u162)) )).
% 15.12/15.31 cnf(matrix-225, plain, ( ~class_Rings_Olinordered__semidom(_u163) | c_Orderings_Oord__class_Oless__eq(_u163, c_Groups_Ozero__class_Ozero(_u163), c_Groups_Oone__class_Oone(_u163)) )).
% 15.12/15.31 cnf(matrix-226, plain, ( ~class_Rings_Olinordered__semidom(_u164) | ~c_Orderings_Oord__class_Oless__eq(_u164, c_Groups_Oone__class_Oone(_u164), c_Groups_Ozero__class_Ozero(_u164)) )).
% 15.12/15.31 cnf(matrix-227, plain, ( ~class_Rings_Olinordered__semidom(_u165) | ~c_Orderings_Oord__class_Oless__eq(_u165, _u166, _u167) | ~c_Orderings_Oord__class_Oless__eq(_u165, c_Groups_Ozero__class_Ozero(_u165), _u166) | c_Orderings_Oord__class_Oless__eq(_u165, hAPP(hAPP(c_Power_Opower__class_Opower(_u165), _u166), _u168), hAPP(hAPP(c_Power_Opower__class_Opower(_u165), _u167), _u168)) )).
% 15.12/15.31 cnf(matrix-228, plain, ( ~class_Rings_Olinordered__semidom(_u169) | ~c_Orderings_Oord__class_Oless__eq(_u169, c_Groups_Ozero__class_Ozero(_u169), _u170) | c_Orderings_Oord__class_Oless__eq(_u169, c_Groups_Ozero__class_Ozero(_u169), hAPP(hAPP(c_Power_Opower__class_Opower(_u169), _u170), _u171)) )).
% 15.12/15.31 cnf(matrix-229, plain, ( ~class_Rings_Olinordered__semidom(_u172) | ~c_Orderings_Oord__class_Oless__eq(_u172, c_Groups_Oone__class_Oone(_u172), _u173) | c_Orderings_Oord__class_Oless__eq(_u172, c_Groups_Oone__class_Oone(_u172), hAPP(hAPP(c_Power_Opower__class_Opower(_u172), _u173), _u174)) )).
% 15.12/15.31 cnf(matrix-230, plain, ( ~class_RealVector_Oreal__normed__vector(_u175) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u175, c_Groups_Oplus__class_Oplus(_u175, _u176, _u177)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u175, _u176), c_RealVector_Onorm__class_Onorm(_u175, _u177))) )).
% 15.12/15.31 cnf(matrix-231, plain, ( ~class_RealVector_Oreal__normed__vector(_u178) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u178, _u179)) )).
% 15.12/15.31 cnf(matrix-232, plain, ( ~class_Power_Opower(_u180) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u180), _u181), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u180)) )).
% 15.12/15.31 cnf(matrix-233, plain, ( ~class_Rings_Odivision__ring(_u182) | ( _u183 = c_Groups_Ozero__class_Ozero(_u182)) | ( _u184 = c_Groups_Ozero__class_Ozero(_u182)) | ( c_Groups_Oplus__class_Oplus(_u182, c_Rings_Oinverse__class_Oinverse(_u182, _u183), c_Rings_Oinverse__class_Oinverse(_u182, _u184)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u182), c_Rings_Oinverse__class_Oinverse(_u182, _u183)), c_Groups_Oplus__class_Oplus(_u182, _u183, _u184))), c_Rings_Oinverse__class_Oinverse(_u182, _u184))) )).
% 15.12/15.31 cnf(matrix-234, plain, ( ~class_Rings_Odivision__ring(_u185) | ( _u186 = c_Groups_Ozero__class_Ozero(_u185)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u185), c_Rings_Oinverse__class_Oinverse(_u185, _u186)), _u186) = c_Groups_Oone__class_Oone(_u185)) )).
% 15.12/15.31 cnf(matrix-235, plain, ( ~class_Rings_Odivision__ring(_u187) | ( _u188 = c_Groups_Ozero__class_Ozero(_u187)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u187), _u188), c_Rings_Oinverse__class_Oinverse(_u187, _u188)) = c_Groups_Oone__class_Oone(_u187)) )).
% 15.12/15.31 cnf(matrix-236, plain, ( ~class_Rings_Olinordered__semiring__strict(_u189) | ~c_Orderings_Oord__class_Oless__eq(_u189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u189), _u190), _u192)) | ~c_Orderings_Oord__class_Oless(_u189, c_Groups_Ozero__class_Ozero(_u189), _u190) | c_Orderings_Oord__class_Oless__eq(_u189, _u191, _u192) )).
% 15.12/15.31 cnf(matrix-237, plain, ( ~class_Rings_Olinordered__semiring__strict(_u193) | ~c_Orderings_Oord__class_Oless__eq(_u193, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u193), _u194), _u195), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u193), _u196), _u195)) | ~c_Orderings_Oord__class_Oless(_u193, c_Groups_Ozero__class_Ozero(_u193), _u195) | c_Orderings_Oord__class_Oless__eq(_u193, _u194, _u196) )).
% 15.12/15.31 cnf(matrix-238, plain, ( ~class_Rings_Olinordered__semiring__strict(_u197) | ~c_Orderings_Oord__class_Oless(_u197, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u197), _u198), _u199), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u197), _u198), _u200)) | ~c_Orderings_Oord__class_Oless__eq(_u197, c_Groups_Ozero__class_Ozero(_u197), _u198) | c_Orderings_Oord__class_Oless(_u197, _u199, _u200) )).
% 15.12/15.31 cnf(matrix-239, plain, ( ~class_Rings_Olinordered__semiring(_u201) | ~c_Orderings_Oord__class_Oless(_u201, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u201), _u202), _u203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u201), _u202), _u204)) | ~c_Orderings_Oord__class_Oless__eq(_u201, c_Groups_Ozero__class_Ozero(_u201), _u202) | c_Orderings_Oord__class_Oless(_u201, _u203, _u204) )).
% 15.12/15.31 cnf(matrix-240, plain, ( ~class_Rings_Olinordered__semiring__strict(_u205) | ~c_Orderings_Oord__class_Oless(_u205, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u205), _u206), _u207), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u205), _u208), _u207)) | ~c_Orderings_Oord__class_Oless__eq(_u205, c_Groups_Ozero__class_Ozero(_u205), _u207) | c_Orderings_Oord__class_Oless(_u205, _u206, _u208) )).
% 15.12/15.31 cnf(matrix-241, plain, ( ~class_Rings_Olinordered__semiring(_u209) | ~c_Orderings_Oord__class_Oless(_u209, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u209), _u210), _u211), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u209), _u212), _u211)) | ~c_Orderings_Oord__class_Oless__eq(_u209, c_Groups_Ozero__class_Ozero(_u209), _u211) | c_Orderings_Oord__class_Oless(_u209, _u210, _u212) )).
% 15.12/15.31 cnf(matrix-242, plain, ( ~class_Rings_Olinordered__semiring__strict(_u213) | ~c_Orderings_Oord__class_Oless__eq(_u213, _u214, _u215) | ~c_Orderings_Oord__class_Oless(_u213, _u216, _u217) | ~c_Orderings_Oord__class_Oless(_u213, c_Groups_Ozero__class_Ozero(_u213), _u214) | ~c_Orderings_Oord__class_Oless__eq(_u213, c_Groups_Ozero__class_Ozero(_u213), _u216) | c_Orderings_Oord__class_Oless(_u213, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u213), _u214), _u216), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u213), _u215), _u217)) )).
% 15.12/15.31 cnf(matrix-243, plain, ( ~class_Rings_Olinordered__semiring__strict(_u218) | ~c_Orderings_Oord__class_Oless(_u218, _u219, _u220) | ~c_Orderings_Oord__class_Oless__eq(_u218, _u221, _u222) | ~c_Orderings_Oord__class_Oless__eq(_u218, c_Groups_Ozero__class_Ozero(_u218), _u219) | ~c_Orderings_Oord__class_Oless(_u218, c_Groups_Ozero__class_Ozero(_u218), _u221) | c_Orderings_Oord__class_Oless(_u218, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u218), _u219), _u221), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u218), _u220), _u222)) )).
% 15.12/15.31 cnf(matrix-244, plain, ( ~class_Rings_Olinordered__semiring__strict(_u223) | ~c_Orderings_Oord__class_Oless(_u223, _u224, _u225) | ~c_Orderings_Oord__class_Oless(_u223, _u226, _u227) | ~c_Orderings_Oord__class_Oless__eq(_u223, c_Groups_Ozero__class_Ozero(_u223), _u224) | ~c_Orderings_Oord__class_Oless__eq(_u223, c_Groups_Ozero__class_Ozero(_u223), _u226) | c_Orderings_Oord__class_Oless(_u223, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u223), _u224), _u226), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u223), _u225), _u227)) )).
% 15.12/15.31 cnf(matrix-245, plain, ( ~class_Rings_Olinordered__semiring__strict(_u228) | ~c_Orderings_Oord__class_Oless(_u228, _u229, _u230) | ~c_Orderings_Oord__class_Oless(_u228, _u231, _u232) | ~c_Orderings_Oord__class_Oless(_u228, c_Groups_Ozero__class_Ozero(_u228), _u230) | ~c_Orderings_Oord__class_Oless__eq(_u228, c_Groups_Ozero__class_Ozero(_u228), _u231) | c_Orderings_Oord__class_Oless(_u228, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u228), _u229), _u231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u228), _u230), _u232)) )).
% 15.12/15.31 cnf(matrix-246, plain, ( ~class_Rings_Olinordered__ring__strict(_u233) | ~c_Orderings_Oord__class_Oless(_u233, _u234, c_Groups_Ozero__class_Ozero(_u233)) | ~c_Orderings_Oord__class_Oless__eq(_u233, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u236)) | c_Orderings_Oord__class_Oless__eq(_u233, _u236, _u235) )).
% 15.12/15.31 cnf(matrix-247, plain, ( ~class_Rings_Olinordered__ring__strict(_u233) | ~c_Orderings_Oord__class_Oless(_u233, _u234, c_Groups_Ozero__class_Ozero(_u233)) | ~c_Orderings_Oord__class_Oless__eq(_u233, _u236, _u235) | c_Orderings_Oord__class_Oless__eq(_u233, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u235), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u233), _u234), _u236)) )).
% 15.12/15.31 cnf(matrix-248, plain, ( ~class_Rings_Olinordered__ring__strict(_u237) | ~c_Orderings_Oord__class_Oless(_u237, c_Groups_Ozero__class_Ozero(_u237), _u238) | ~c_Orderings_Oord__class_Oless__eq(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u240)) | c_Orderings_Oord__class_Oless__eq(_u237, _u239, _u240) )).
% 15.12/15.31 cnf(matrix-249, plain, ( ~class_Rings_Olinordered__ring__strict(_u237) | ~c_Orderings_Oord__class_Oless(_u237, c_Groups_Ozero__class_Ozero(_u237), _u238) | ~c_Orderings_Oord__class_Oless__eq(_u237, _u239, _u240) | c_Orderings_Oord__class_Oless__eq(_u237, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u239), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u237), _u238), _u240)) )).
% 15.12/15.31 cnf(matrix-250, plain, ( ~class_Rings_Olinordered__ring__strict(_u241) | ~c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) | ( _u242 = c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.31 cnf(matrix-251, plain, ( ~class_Rings_Olinordered__ring__strict(_u241) | ~c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) | ( _u243 = c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.31 cnf(matrix-252, plain, ( ~class_Rings_Olinordered__ring__strict(_u241) | ( _u242 != c_Groups_Ozero__class_Ozero(_u241)) | ( _u243 != c_Groups_Ozero__class_Ozero(_u241)) | c_Orderings_Oord__class_Oless__eq(_u241, c_Groups_Oplus__class_Oplus(_u241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u242), _u242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u241), _u243), _u243)), c_Groups_Ozero__class_Ozero(_u241)) )).
% 15.12/15.31 cnf(matrix-253, plain, ( ~class_Rings_Olinordered__ring(_u244) | c_Orderings_Oord__class_Oless__eq(_u244, c_Groups_Ozero__class_Ozero(_u244), c_Groups_Oplus__class_Oplus(_u244, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u244), _u245), _u245), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u244), _u246), _u246))) )).
% 15.12/15.31 cnf(matrix-254, plain, ( ~class_Rings_Olinordered__idom(_u247) | ~c_Orderings_Oord__class_Oless__eq(_u247, c_Groups_Ozero__class_Ozero(_u247), _u248) | ~c_Orderings_Oord__class_Oless__eq(_u247, c_Groups_Ozero__class_Ozero(_u247), _u249) | ~c_Orderings_Oord__class_Oless__eq(_u247, _u249, c_Groups_Oone__class_Oone(_u247)) | c_Orderings_Oord__class_Oless__eq(_u247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u247), _u249), _u248), _u248) )).
% 15.12/15.31 cnf(matrix-255, plain, ( ~class_Rings_Olinordered__idom(_u250) | ~c_Orderings_Oord__class_Oless__eq(_u250, c_Groups_Ozero__class_Ozero(_u250), _u251) | ~c_Orderings_Oord__class_Oless__eq(_u250, c_Groups_Ozero__class_Ozero(_u250), _u252) | ~c_Orderings_Oord__class_Oless__eq(_u250, _u252, c_Groups_Oone__class_Oone(_u250)) | c_Orderings_Oord__class_Oless__eq(_u250, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u250), _u251), _u252), _u251) )).
% 15.12/15.31 cnf(matrix-256, plain, ( ~class_Rings_Olinordered__semidom(_u253) | ~c_Orderings_Oord__class_Oless(_u253, hAPP(hAPP(c_Power_Opower__class_Opower(_u253), _u254), _u255), hAPP(hAPP(c_Power_Opower__class_Opower(_u253), _u256), _u255)) | ~c_Orderings_Oord__class_Oless__eq(_u253, c_Groups_Ozero__class_Ozero(_u253), _u256) | c_Orderings_Oord__class_Oless(_u253, _u254, _u256) )).
% 15.12/15.31 cnf(matrix-257, plain, ( ~class_Rings_Olinordered__semidom(_u257) | ~c_Orderings_Oord__class_Oless(_u257, _u258, _u259) | ~c_Orderings_Oord__class_Oless__eq(_u257, c_Groups_Ozero__class_Ozero(_u257), _u258) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u260) | c_Orderings_Oord__class_Oless(_u257, hAPP(hAPP(c_Power_Opower__class_Opower(_u257), _u258), _u260), hAPP(hAPP(c_Power_Opower__class_Opower(_u257), _u259), _u260)) )).
% 15.12/15.31 cnf(matrix-258, plain, ( ~class_RealVector_Oreal__normed__vector(_u261) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u261, _u262), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u262 = c_Groups_Ozero__class_Ozero(_u261)) )).
% 15.12/15.31 cnf(matrix-259, plain, ( ~class_RealVector_Oreal__normed__vector(_u261) | ( _u262 != c_Groups_Ozero__class_Ozero(_u261)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u261, _u262), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-260, plain, ( ~class_RealVector_Oreal__normed__algebra(_u263) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u263), _u264), _u265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u263, _u264)), c_RealVector_Onorm__class_Onorm(_u263, _u265))) )).
% 15.12/15.31 cnf(matrix-261, plain, ( ~class_Rings_Olinordered__semidom(_u266) | ~c_Orderings_Oord__class_Oless(_u266, c_Groups_Oone__class_Oone(_u266), _u267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u268) | c_Orderings_Oord__class_Oless(_u266, c_Groups_Oone__class_Oone(_u266), hAPP(hAPP(c_Power_Opower__class_Opower(_u266), _u267), _u268)) )).
% 15.12/15.31 cnf(matrix-262, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u269) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u269, hAPP(hAPP(c_Power_Opower__class_Opower(_u269), _u270), _u271)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u269, _u270)), _u271)) )).
% 15.12/15.31 cnf(matrix-263, plain, ( ~class_Rings_Olinordered__semiring__1(_u272) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u273, _u274) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u275, _u274) | ~c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Ozero__class_Ozero(_u272), _u276) | ~c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Ozero__class_Ozero(_u272), _u277) | ( c_Groups_Oplus__class_Oplus(_u272, _u276, _u277) != c_Groups_Oone__class_Oone(_u272)) | c_Orderings_Oord__class_Oless__eq(_u272, c_Groups_Oplus__class_Oplus(_u272, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u272), _u276), _u273), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u272), _u277), _u275)), _u274) )).
% 15.12/15.31 cnf(matrix-264, plain, ( ~class_Rings_Olinordered__idom(_u278) | ( _u279 = _u280) | c_Orderings_Oord__class_Oless(_u278, _u279, _u280) | c_Orderings_Oord__class_Oless(_u278, _u280, _u279) )).
% 15.12/15.31 cnf(matrix-265, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u281) | ~c_Orderings_Oord__class_Oless(_u281, _u282, _u283) | ~c_Orderings_Oord__class_Oless(_u281, _u284, _u283) | ~c_Orderings_Oord__class_Oless__eq(_u281, c_Groups_Ozero__class_Ozero(_u281), _u285) | ~c_Orderings_Oord__class_Oless__eq(_u281, c_Groups_Ozero__class_Ozero(_u281), _u286) | ( c_Groups_Oplus__class_Oplus(_u281, _u285, _u286) != c_Groups_Oone__class_Oone(_u281)) | c_Orderings_Oord__class_Oless(_u281, c_Groups_Oplus__class_Oplus(_u281, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u281), _u285), _u282), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u281), _u286), _u284)), _u283) )).
% 15.12/15.31 cnf(matrix-266, plain, ( ~class_Rings_Ono__zero__divisors(_u287) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u287), _u288), _u289) != c_Groups_Ozero__class_Ozero(_u287)) | ( _u288 = c_Groups_Ozero__class_Ozero(_u287)) | ( _u289 = c_Groups_Ozero__class_Ozero(_u287)) )).
% 15.12/15.31 cnf(matrix-267, plain, ( ~class_Rings_Ono__zero__divisors(_u290) | ( _u291 = c_Groups_Ozero__class_Ozero(_u290)) | ( _u292 = c_Groups_Ozero__class_Ozero(_u290)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u290), _u291), _u292) != c_Groups_Ozero__class_Ozero(_u290)) )).
% 15.12/15.31 cnf(matrix-268, plain, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) != c_Groups_Ozero__class_Ozero(_u293)) | ( _u294 = c_Groups_Ozero__class_Ozero(_u293)) | ( _u295 = c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.31 cnf(matrix-269, plain, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) = c_Groups_Ozero__class_Ozero(_u293)) | ( _u294 != c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.31 cnf(matrix-270, plain, ( ~class_Rings_Oring__no__zero__divisors(_u293) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u293), _u294), _u295) = c_Groups_Ozero__class_Ozero(_u293)) | ( _u295 != c_Groups_Ozero__class_Ozero(_u293)) )).
% 15.12/15.31 cnf(matrix-271, plain, ( ~class_RealVector_Oreal__normed__algebra(_u296) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u296), _u297), c_Groups_Ozero__class_Ozero(_u296)) = c_Groups_Ozero__class_Ozero(_u296)) )).
% 15.12/15.31 cnf(matrix-272, plain, ( ~class_RealVector_Oreal__normed__algebra(_u298) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u298), _u299), c_Groups_Ozero__class_Ozero(_u298)) = c_Groups_Ozero__class_Ozero(_u298)) )).
% 15.12/15.31 cnf(matrix-273, plain, ( ~class_Rings_Omult__zero(_u300) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u300), _u301), c_Groups_Ozero__class_Ozero(_u300)) = c_Groups_Ozero__class_Ozero(_u300)) )).
% 15.12/15.31 cnf(matrix-274, plain, ( ~class_RealVector_Oreal__normed__algebra(_u302) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u302), c_Groups_Ozero__class_Ozero(_u302)), _u303) = c_Groups_Ozero__class_Ozero(_u302)) )).
% 15.12/15.31 cnf(matrix-275, plain, ( ~class_RealVector_Oreal__normed__algebra(_u304) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u304), c_Groups_Ozero__class_Ozero(_u304)), _u305) = c_Groups_Ozero__class_Ozero(_u304)) )).
% 15.12/15.31 cnf(matrix-276, plain, ( ~class_Rings_Omult__zero(_u306) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u306), c_Groups_Ozero__class_Ozero(_u306)), _u307) = c_Groups_Ozero__class_Ozero(_u306)) )).
% 15.12/15.31 cnf(matrix-277, plain, ( ~class_Rings_Ozero__neq__one(_u308) | ( c_Groups_Ozero__class_Ozero(_u308) != c_Groups_Oone__class_Oone(_u308)) )).
% 15.12/15.31 cnf(matrix-278, plain, ( ~class_Rings_Ozero__neq__one(_u309) | ( c_Groups_Oone__class_Oone(_u309) != c_Groups_Ozero__class_Ozero(_u309)) )).
% 15.12/15.31 cnf(matrix-279, plain, ( ~class_Rings_Osemiring(_u310) | ( c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), _u311), _u312), c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), _u313), _u312), _u314)) = c_Groups_Oplus__class_Oplus(_u310, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u310), c_Groups_Oplus__class_Oplus(_u310, _u311, _u313)), _u312), _u314)) )).
% 15.12/15.31 cnf(matrix-280, plain, ( ~class_RealVector_Oreal__normed__algebra(_u315) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), c_Groups_Oplus__class_Oplus(_u315, _u316, _u317)), _u318) = c_Groups_Oplus__class_Oplus(_u315, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), _u316), _u318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u315), _u317), _u318))) )).
% 15.12/15.31 cnf(matrix-281, plain, ( ~class_RealVector_Oreal__normed__algebra(_u319) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), c_Groups_Oplus__class_Oplus(_u319, _u320, _u321)), _u322) = c_Groups_Oplus__class_Oplus(_u319, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), _u320), _u322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u319), _u321), _u322))) )).
% 15.12/15.31 cnf(matrix-282, plain, ( ~class_Rings_Ocomm__semiring(_u323) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), c_Groups_Oplus__class_Oplus(_u323, _u324, _u325)), _u326) = c_Groups_Oplus__class_Oplus(_u323, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), _u324), _u326), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u323), _u325), _u326))) )).
% 15.12/15.31 cnf(matrix-283, plain, ( ~class_RealVector_Oreal__normed__algebra(_u327) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), c_Groups_Oplus__class_Oplus(_u327, _u329, _u330)) = c_Groups_Oplus__class_Oplus(_u327, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), _u329), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u327), _u328), _u330))) )).
% 15.12/15.31 cnf(matrix-284, plain, ( ~class_RealVector_Oreal__normed__algebra(_u331) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), c_Groups_Oplus__class_Oplus(_u331, _u333, _u334)) = c_Groups_Oplus__class_Oplus(_u331, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), _u333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u331), _u332), _u334))) )).
% 15.12/15.31 cnf(matrix-285, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u335) | ( _u336 = c_Groups_Ozero__class_Ozero(_u335)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u335), _u336), _u337) != c_Groups_Ozero__class_Ozero(_u335)) )).
% 15.12/15.31 cnf(matrix-286, plain, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) != c_Groups_Ozero__class_Ozero(_u338)) | ( _u339 = c_Groups_Ozero__class_Ozero(_u338)) )).
% 15.12/15.31 cnf(matrix-287, plain, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) != c_Groups_Ozero__class_Ozero(_u338)) | ( _u340 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-288, plain, ( ~class_Power_Opower(_u338) | ~class_Rings_Omult__zero(_u338) | ~class_Rings_Ono__zero__divisors(_u338) | ~class_Rings_Ozero__neq__one(_u338) | ( _u339 != c_Groups_Ozero__class_Ozero(_u338)) | ( _u340 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u338), _u339), _u340) = c_Groups_Ozero__class_Ozero(_u338)) )).
% 15.12/15.31 cnf(matrix-289, plain, ( ~class_Groups_Ocomm__monoid__mult(_u341) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u341), _u342), _u343)), _u344) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u341), hAPP(hAPP(c_Power_Opower__class_Opower(_u341), _u342), _u344)), hAPP(hAPP(c_Power_Opower__class_Opower(_u341), _u343), _u344))) )).
% 15.12/15.31 cnf(matrix-290, plain, ( ~class_Groups_Omonoid__mult(_u345) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u345), hAPP(hAPP(c_Power_Opower__class_Opower(_u345), _u346), _u347)), _u346) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u345), _u346), hAPP(hAPP(c_Power_Opower__class_Opower(_u345), _u346), _u347))) )).
% 15.12/15.31 cnf(matrix-291, plain, ( ~class_Groups_Omonoid__mult(_u348) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u348), c_Groups_Oone__class_Oone(_u348)), _u349) = c_Groups_Oone__class_Oone(_u348)) )).
% 15.12/15.31 cnf(matrix-292, plain, ( ~class_Groups_Omonoid__mult(_u350) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u350), _u351), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u351) )).
% 15.12/15.31 cnf(matrix-293, plain, ( ~class_Rings_Olinordered__ring__strict(_u352) | ~c_Orderings_Oord__class_Oless(_u352, _u353, _u354) | ~c_Orderings_Oord__class_Oless(_u352, _u355, c_Groups_Ozero__class_Ozero(_u352)) | c_Orderings_Oord__class_Oless(_u352, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u352), _u355), _u354), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u352), _u355), _u353)) )).
% 15.12/15.31 cnf(matrix-294, plain, ( ~class_Rings_Olinordered__ring__strict(_u356) | ~c_Orderings_Oord__class_Oless(_u356, _u357, _u358) | ~c_Orderings_Oord__class_Oless(_u356, _u359, c_Groups_Ozero__class_Ozero(_u356)) | c_Orderings_Oord__class_Oless(_u356, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u356), _u358), _u359), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u356), _u357), _u359)) )).
% 15.12/15.31 cnf(matrix-295, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u360) | ~c_Orderings_Oord__class_Oless(_u360, _u361, _u362) | ~c_Orderings_Oord__class_Oless(_u360, c_Groups_Ozero__class_Ozero(_u360), _u363) | c_Orderings_Oord__class_Oless(_u360, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u360), _u363), _u361), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u360), _u363), _u362)) )).
% 15.12/15.31 cnf(matrix-296, plain, ( ~class_Rings_Olinordered__semiring__strict(_u364) | ~c_Orderings_Oord__class_Oless(_u364, _u365, _u366) | ~c_Orderings_Oord__class_Oless(_u364, c_Groups_Ozero__class_Ozero(_u364), _u367) | c_Orderings_Oord__class_Oless(_u364, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u364), _u367), _u365), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u364), _u367), _u366)) )).
% 15.12/15.31 cnf(matrix-297, plain, ( ~class_Rings_Olinordered__semiring__strict(_u368) | ~c_Orderings_Oord__class_Oless(_u368, _u369, _u370) | ~c_Orderings_Oord__class_Oless(_u368, c_Groups_Ozero__class_Ozero(_u368), _u371) | c_Orderings_Oord__class_Oless(_u368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u368), _u369), _u371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u368), _u370), _u371)) )).
% 15.12/15.31 cnf(matrix-298, plain, ( ~class_Rings_Olinordered__ring__strict(_u372) | ~c_Orderings_Oord__class_Oless(_u372, _u373, c_Groups_Ozero__class_Ozero(_u372)) | ~c_Orderings_Oord__class_Oless(_u372, _u374, c_Groups_Ozero__class_Ozero(_u372)) | c_Orderings_Oord__class_Oless(_u372, c_Groups_Ozero__class_Ozero(_u372), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u372), _u373), _u374)) )).
% 15.12/15.31 cnf(matrix-299, plain, ( ~class_Rings_Olinordered__semiring__strict(_u375) | ~c_Orderings_Oord__class_Oless(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) | c_Orderings_Oord__class_Oless(_u375, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u375), _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.31 cnf(matrix-300, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless(_u378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u381)) | c_Orderings_Oord__class_Oless(_u378, _u381, _u380) )).
% 15.12/15.31 cnf(matrix-301, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless(_u378, _u381, _u380) | c_Orderings_Oord__class_Oless(_u378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u380), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u378), _u379), _u381)) )).
% 15.12/15.31 cnf(matrix-302, plain, ( ~class_Rings_Olinordered__semiring__strict(_u382) | ~c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u382), _u383), _u384)) | ~c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), _u384) | c_Orderings_Oord__class_Oless(_u382, c_Groups_Ozero__class_Ozero(_u382), _u383) )).
% 15.12/15.31 cnf(matrix-303, plain, ( ~class_Rings_Olinordered__semiring__strict(_u385) | ~c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u385), _u386), _u387)) | ~c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), _u386) | c_Orderings_Oord__class_Oless(_u385, c_Groups_Ozero__class_Ozero(_u385), _u387) )).
% 15.12/15.31 cnf(matrix-304, plain, ( ~class_Rings_Olinordered__semiring__strict(_u388) | ~c_Orderings_Oord__class_Oless(_u388, c_Groups_Ozero__class_Ozero(_u388), _u389) | ~c_Orderings_Oord__class_Oless(_u388, _u390, c_Groups_Ozero__class_Ozero(_u388)) | c_Orderings_Oord__class_Oless(_u388, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u388), _u390), _u389), c_Groups_Ozero__class_Ozero(_u388)) )).
% 15.12/15.31 cnf(matrix-305, plain, ( ~class_Rings_Olinordered__semiring__strict(_u391) | ~c_Orderings_Oord__class_Oless(_u391, c_Groups_Ozero__class_Ozero(_u391), _u392) | ~c_Orderings_Oord__class_Oless(_u391, _u393, c_Groups_Ozero__class_Ozero(_u391)) | c_Orderings_Oord__class_Oless(_u391, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u391), _u392), _u393), c_Groups_Ozero__class_Ozero(_u391)) )).
% 15.12/15.31 cnf(matrix-306, plain, ( ~class_Rings_Olinordered__semiring__strict(_u394) | ~c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), _u395) | ~c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), _u396) | c_Orderings_Oord__class_Oless(_u394, c_Groups_Ozero__class_Ozero(_u394), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u394), _u395), _u396)) )).
% 15.12/15.31 cnf(matrix-307, plain, ( ~class_Rings_Olinordered__ring__strict(_u397) | ~c_Orderings_Oord__class_Oless(_u397, c_Groups_Ozero__class_Ozero(_u397), _u398) | ~c_Orderings_Oord__class_Oless(_u397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u400)) | c_Orderings_Oord__class_Oless(_u397, _u399, _u400) )).
% 15.12/15.31 cnf(matrix-308, plain, ( ~class_Rings_Olinordered__ring__strict(_u397) | ~c_Orderings_Oord__class_Oless(_u397, c_Groups_Ozero__class_Ozero(_u397), _u398) | ~c_Orderings_Oord__class_Oless(_u397, _u399, _u400) | c_Orderings_Oord__class_Oless(_u397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u399), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u397), _u398), _u400)) )).
% 15.12/15.31 cnf(matrix-309, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) )).
% 15.12/15.31 cnf(matrix-310, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.31 cnf(matrix-311, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, _u403, _u404) | c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) )).
% 15.12/15.31 cnf(matrix-312, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | ~c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | c_Orderings_Oord__class_Oless(_u401, _u403, _u404) | c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.31 cnf(matrix-313, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | ~c_Orderings_Oord__class_Oless(_u401, c_Groups_Ozero__class_Ozero(_u401), _u402) | ~c_Orderings_Oord__class_Oless(_u401, _u403, _u404) )).
% 15.12/15.31 cnf(matrix-314, plain, ( ~class_Rings_Olinordered__ring__strict(_u401) | c_Orderings_Oord__class_Oless(_u401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u403), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u401), _u402), _u404)) | ~c_Orderings_Oord__class_Oless(_u401, _u402, c_Groups_Ozero__class_Ozero(_u401)) | ~c_Orderings_Oord__class_Oless(_u401, _u404, _u403) )).
% 15.12/15.31 cnf(matrix-315, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) )).
% 15.12/15.31 cnf(matrix-316, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.31 cnf(matrix-317, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, _u406, _u408) | c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) )).
% 15.12/15.31 cnf(matrix-318, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | c_Orderings_Oord__class_Oless(_u405, _u406, _u408) | c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.31 cnf(matrix-319, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u407) | ~c_Orderings_Oord__class_Oless(_u405, _u406, _u408) )).
% 15.12/15.31 cnf(matrix-320, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | c_Orderings_Oord__class_Oless(_u405, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u406), _u407), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u405), _u408), _u407)) | ~c_Orderings_Oord__class_Oless(_u405, _u407, c_Groups_Ozero__class_Ozero(_u405)) | ~c_Orderings_Oord__class_Oless(_u405, _u408, _u406) )).
% 15.12/15.31 cnf(matrix-321, plain, ( ~class_Rings_Olinordered__ring(_u409) | ~c_Orderings_Oord__class_Oless(_u409, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u409), _u410), _u410), c_Groups_Ozero__class_Ozero(_u409)) )).
% 15.12/15.31 cnf(matrix-322, plain, ( ~class_Rings_Olinordered__semidom(_u411) | ~c_Orderings_Oord__class_Oless(_u411, c_Groups_Ozero__class_Ozero(_u411), _u412) | ~c_Orderings_Oord__class_Oless(_u411, _u413, _u414) | c_Orderings_Oord__class_Oless(_u411, _u413, c_Groups_Oplus__class_Oplus(_u411, _u412, _u414)) )).
% 15.12/15.31 cnf(matrix-323, plain, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) != c_Groups_Ozero__class_Ozero(_u415)) | ( _u416 = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.31 cnf(matrix-324, plain, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) != c_Groups_Ozero__class_Ozero(_u415)) | ( _u417 = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.31 cnf(matrix-325, plain, ( ~class_Rings_Olinordered__ring__strict(_u415) | ( _u416 != c_Groups_Ozero__class_Ozero(_u415)) | ( _u417 != c_Groups_Ozero__class_Ozero(_u415)) | ( c_Groups_Oplus__class_Oplus(_u415, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u416), _u416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u415), _u417), _u417)) = c_Groups_Ozero__class_Ozero(_u415)) )).
% 15.12/15.31 cnf(matrix-326, plain, ( ~class_Rings_Olinordered__semidom(_u418) | c_Orderings_Oord__class_Oless(_u418, c_Groups_Ozero__class_Ozero(_u418), c_Groups_Oone__class_Oone(_u418)) )).
% 15.12/15.31 cnf(matrix-327, plain, ( ~class_Rings_Olinordered__semidom(_u419) | ~c_Orderings_Oord__class_Oless(_u419, c_Groups_Oone__class_Oone(_u419), c_Groups_Ozero__class_Ozero(_u419)) )).
% 15.12/15.31 cnf(matrix-328, plain, ( ~class_Rings_Olinordered__semidom(_u420) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), _u421) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), _u422) | c_Orderings_Oord__class_Oless(_u420, c_Groups_Oone__class_Oone(_u420), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u420), _u421), _u422)) )).
% 15.12/15.31 cnf(matrix-329, plain, ( ~class_Rings_Olinordered__semidom(_u423) | ~c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), _u424) | c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), hAPP(hAPP(c_Power_Opower__class_Opower(_u423), _u424), _u425)) )).
% 15.12/15.31 cnf(matrix-330, plain, ( ~class_Rings_Olinordered__semidom(_u426) | c_Orderings_Oord__class_Oless(_u426, _u427, c_Groups_Oplus__class_Oplus(_u426, _u427, c_Groups_Oone__class_Oone(_u426))) )).
% 15.12/15.31 cnf(matrix-331, plain, ( ~class_Power_Opower(_u428) | ~class_Rings_Osemiring__0(_u428) | ( _u429 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u428), c_Groups_Ozero__class_Ozero(_u428)), _u429) = c_Groups_Oone__class_Oone(_u428)) )).
% 15.12/15.31 cnf(matrix-332, plain, ( ~class_Power_Opower(_u428) | ~class_Rings_Osemiring__0(_u428) | ( _u429 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u428), c_Groups_Ozero__class_Ozero(_u428)), _u429) = c_Groups_Ozero__class_Ozero(_u428)) )).
% 15.12/15.31 cnf(matrix-333, plain, ( ~class_Rings_Olinordered__semidom(_u430) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u431, _u432) | ~c_Orderings_Oord__class_Oless(_u430, c_Groups_Oone__class_Oone(_u430), _u433) | c_Orderings_Oord__class_Oless(_u430, hAPP(hAPP(c_Power_Opower__class_Opower(_u430), _u433), _u431), hAPP(hAPP(c_Power_Opower__class_Opower(_u430), _u433), _u432)) )).
% 15.12/15.31 cnf(matrix-334, plain, ( ~class_Rings_Olinordered__semidom(_u434) | ~c_Orderings_Oord__class_Oless(_u434, c_Groups_Oone__class_Oone(_u434), _u435) | ~c_Orderings_Oord__class_Oless(_u434, hAPP(hAPP(c_Power_Opower__class_Opower(_u434), _u435), _u436), hAPP(hAPP(c_Power_Opower__class_Opower(_u434), _u435), _u437)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u436, _u437) )).
% 15.12/15.31 cnf(matrix-335, plain, ( ~class_Rings_Olinordered__semidom(_u438) | ~c_Orderings_Oord__class_Oless(_u438, c_Groups_Oone__class_Oone(_u438), _u439) | ~c_Orderings_Oord__class_Oless(_u438, hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u440), hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u441)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u440, _u441) )).
% 15.12/15.31 cnf(matrix-336, plain, ( ~class_Rings_Olinordered__semidom(_u438) | ~c_Orderings_Oord__class_Oless(_u438, c_Groups_Oone__class_Oone(_u438), _u439) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u440, _u441) | c_Orderings_Oord__class_Oless(_u438, hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u440), hAPP(hAPP(c_Power_Opower__class_Opower(_u438), _u439), _u441)) )).
% 15.12/15.31 cnf(matrix-337, plain, ( ~class_Rings_Olinordered__semidom(_u442) | ~c_Orderings_Oord__class_Oless(_u442, c_Groups_Oone__class_Oone(_u442), _u443) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u444) != hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u445)) | ( _u444 = _u445) )).
% 15.12/15.31 cnf(matrix-338, plain, ( ~class_Rings_Olinordered__semidom(_u442) | ~c_Orderings_Oord__class_Oless(_u442, c_Groups_Oone__class_Oone(_u442), _u443) | ( _u444 != _u445) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u444) = hAPP(hAPP(c_Power_Opower__class_Opower(_u442), _u443), _u445)) )).
% 15.12/15.31 cnf(matrix-339, plain, ( ~class_RealVector_Oreal__normed__vector(_u446) | ( c_RealVector_Onorm__class_Onorm(_u446, c_Groups_Ozero__class_Ozero(_u446)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-340, plain, ( ~class_RealVector_Oreal__normed__vector(_u447) | ( c_RealVector_Onorm__class_Onorm(_u447, _u448) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u448 = c_Groups_Ozero__class_Ozero(_u447)) )).
% 15.12/15.31 cnf(matrix-341, plain, ( ~class_RealVector_Oreal__normed__vector(_u447) | ( _u448 != c_Groups_Ozero__class_Ozero(_u447)) | ( c_RealVector_Onorm__class_Onorm(_u447, _u448) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-342, plain, ( ~class_Groups_Omonoid__mult(_u449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u451, _u452)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u449), hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), _u451)), hAPP(hAPP(c_Power_Opower__class_Opower(_u449), _u450), _u452))) )).
% 15.12/15.31 cnf(matrix-343, plain, ( ~class_RealVector_Oreal__normed__vector(_u453) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, _u454), _u455) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, _u456), _u457) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u453, c_Groups_Oplus__class_Oplus(_u453, _u454, _u456)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u455, _u457)) )).
% 15.12/15.31 cnf(matrix-344, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u458) | ( c_RealVector_Onorm__class_Onorm(_u458, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u458), _u459), _u460)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u458, _u459)), c_RealVector_Onorm__class_Onorm(_u458, _u460))) )).
% 15.12/15.31 cnf(matrix-345, plain, ( ~class_RealVector_Oreal__normed__vector(_u461) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u461, _u462), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-346, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u463) | ( c_RealVector_Onorm__class_Onorm(_u463, c_Groups_Oone__class_Oone(_u463)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-347, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u464) | ( c_RealVector_Onorm__class_Onorm(_u464, hAPP(hAPP(c_Power_Opower__class_Opower(_u464), _u465), _u466)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u464, _u465)), _u466)) )).
% 15.12/15.31 cnf(matrix-348, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem3) )).
% 15.12/15.31 cnf(matrix-349, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-350, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, 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____))) )).
% 15.12/15.31 cnf(matrix-351, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u468) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u469, c_RealVector_Onorm__class_Onorm(_u468, _u470)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u469) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u468, c_Rings_Oinverse__class_Oinverse(_u468, _u470)), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u469)) )).
% 15.12/15.31 cnf(matrix-352, plain, ( ~class_RealVector_Oreal__normed__vector(_u471) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u472, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u471, _u473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u472), c_RealVector_Onorm__class_Onorm(_u471, _u474))) | ( _u473 = c_Groups_Ozero__class_Ozero(_u471)) )).
% 15.12/15.31 cnf(matrix-353, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u475, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-354, plain, ( ~class_Fields_Olinordered__field(_u476) | ~c_Orderings_Oord__class_Oless(_u476, c_Groups_Ozero__class_Ozero(_u476), _u477) | ~c_Orderings_Oord__class_Oless__eq(_u476, _u477, c_Groups_Oone__class_Oone(_u476)) | c_Orderings_Oord__class_Oless__eq(_u476, c_Groups_Oone__class_Oone(_u476), c_Rings_Oinverse__class_Oinverse(_u476, _u477)) )).
% 15.12/15.31 cnf(matrix-355, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | ~c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | c_Orderings_Oord__class_Oless__eq(_u478, _u479, c_Groups_Ozero__class_Ozero(_u478)) | c_Orderings_Oord__class_Oless(_u478, c_Groups_Oone__class_Oone(_u478), _u479) )).
% 15.12/15.31 cnf(matrix-356, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | ~c_Orderings_Oord__class_Oless__eq(_u478, _u479, c_Groups_Ozero__class_Ozero(_u478)) )).
% 15.12/15.31 cnf(matrix-357, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u478) | c_Orderings_Oord__class_Oless(_u478, c_Rings_Oinverse__class_Oinverse(_u478, _u479), c_Groups_Oone__class_Oone(_u478)) | ~c_Orderings_Oord__class_Oless(_u478, c_Groups_Oone__class_Oone(_u478), _u479) )).
% 15.12/15.31 cnf(matrix-358, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) | c_Orderings_Oord__class_Oless(_u480, c_Groups_Ozero__class_Ozero(_u480), _u481) )).
% 15.12/15.31 cnf(matrix-359, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) | c_Orderings_Oord__class_Oless__eq(_u480, _u481, c_Groups_Oone__class_Oone(_u480)) )).
% 15.12/15.31 cnf(matrix-360, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u480) | ~c_Orderings_Oord__class_Oless(_u480, c_Groups_Ozero__class_Ozero(_u480), _u481) | ~c_Orderings_Oord__class_Oless__eq(_u480, _u481, c_Groups_Oone__class_Oone(_u480)) | c_Orderings_Oord__class_Oless__eq(_u480, c_Groups_Oone__class_Oone(_u480), c_Rings_Oinverse__class_Oinverse(_u480, _u481)) )).
% 15.12/15.31 cnf(matrix-361, plain, ( ( _u482 = 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, _u482)), _u482) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-362, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u483) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u484) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u484), _u485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u483), _u486)) | 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, _u483)), _u485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u484)), _u486)) )).
% 15.12/15.31 cnf(matrix-363, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u487) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u488) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u488), _u489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u487), _u490)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u489), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u487)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u490), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u488))) )).
% 15.12/15.31 cnf(matrix-364, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u493)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) )).
% 15.12/15.31 cnf(matrix-365, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u491) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u492, _u493) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u492), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u491), _u493)) )).
% 15.12/15.31 cnf(matrix-366, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u494) )).
% 15.12/15.31 cnf(matrix-367, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u495, _u495) )).
% 15.12/15.31 cnf(matrix-368, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u496, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u496), _u496)) )).
% 15.12/15.31 cnf(matrix-369, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u497, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u497), _u497))) )).
% 15.12/15.31 cnf(matrix-370, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u498), _u499) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u499), _u498)) )).
% 15.12/15.31 cnf(matrix-371, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u500, _u501) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u501, _u500) )).
% 15.12/15.31 cnf(matrix-372, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u502), _u503)), _u504) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u502), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u503), _u504))) )).
% 15.12/15.31 cnf(matrix-373, plain, ( ( _u505 != _u506) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u505, _u506) )).
% 15.12/15.31 cnf(matrix-374, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u507, _u508) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u507), _u509), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u508), _u509)) )).
% 15.12/15.31 cnf(matrix-375, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u510, _u511) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u512), _u510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u512), _u511)) )).
% 15.12/15.31 cnf(matrix-376, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u513, _u514) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u514, _u515) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u513, _u515) )).
% 15.12/15.31 cnf(matrix-377, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u516, _u517) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u517, _u516) | ( _u516 = _u517) )).
% 15.12/15.31 cnf(matrix-378, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u518, _u519) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u520, _u521) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u518), _u520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u519), _u521)) )).
% 15.12/15.31 cnf(matrix-379, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u523, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-380, plain, ( ( _u524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u524, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-381, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u525) )).
% 15.12/15.31 cnf(matrix-382, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u526, _u527) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u526, _u527) )).
% 15.12/15.31 cnf(matrix-383, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u526, _u527) | ( _u526 != _u527) )).
% 15.12/15.31 cnf(matrix-384, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u528, _u529) | ( _u528 = _u529) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u528, _u529) )).
% 15.12/15.31 cnf(matrix-385, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u530, _u531) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u530, _u531) )).
% 15.12/15.31 cnf(matrix-386, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u534, _u536) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u534, _u536) | ( _u534 = _u536) )).
% 15.12/15.31 cnf(matrix-387, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u535, _u537) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u535, _u537) )).
% 15.12/15.31 cnf(matrix-388, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u535, _u537) | ( _u535 != _u537) )).
% 15.12/15.31 cnf(matrix-389, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u540, _u542) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u540, _u542) )).
% 15.12/15.31 cnf(matrix-390, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u540, _u542) | ( _u540 != _u542) )).
% 15.12/15.31 cnf(matrix-391, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u541, _u543) | ( _u541 = _u543) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u541, _u543) )).
% 15.12/15.31 cnf(matrix-392, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u544, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u545, _u544)) )).
% 15.12/15.31 cnf(matrix-393, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u546, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u546, _u547)) )).
% 15.12/15.31 cnf(matrix-394, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u552, _u554) | ( _u554 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u552, skolem4(_u554, _u552))) )).
% 15.12/15.31 cnf(matrix-395, plain, ( ( _u555 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u553, _u549)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u553, _u555) )).
% 15.12/15.31 cnf(matrix-396, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u560, _u562) | ( _u562 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u560, skolem5(_u562, _u560))) )).
% 15.12/15.31 cnf(matrix-397, plain, ( ( _u563 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u561, _u557)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u561, _u563) )).
% 15.12/15.31 cnf(matrix-398, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u569, _u571) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u567, _u569), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u567, _u571)) )).
% 15.12/15.31 cnf(matrix-399, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u570, _u572) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u568, _u570), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u568, _u572)) )).
% 15.12/15.31 cnf(matrix-400, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u573, _u574) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u573, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u574, _u575)) )).
% 15.12/15.31 cnf(matrix-401, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u576, _u577) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u576, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u578, _u577)) )).
% 15.12/15.31 cnf(matrix-402, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u579, _u580) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u579, _u581), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u580, _u581)) )).
% 15.12/15.31 cnf(matrix-403, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u582, _u583) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u584, _u585) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u582, _u584), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u583, _u585)) )).
% 15.12/15.31 cnf(matrix-404, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u587, _u588) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u586, _u587), _u588) )).
% 15.12/15.31 cnf(matrix-405, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u589, _u590), _u591) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u589, _u591) )).
% 15.12/15.31 cnf(matrix-406, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u592, _u593), _u594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u592, _u594) )).
% 15.12/15.31 cnf(matrix-407, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u592, _u593), _u594) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u593, _u594) )).
% 15.12/15.31 cnf(matrix-408, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u598), _u600), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u602), _u600)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u600) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u598, _u602) )).
% 15.12/15.31 cnf(matrix-409, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u599), _u601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u603), _u601)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u601) )).
% 15.12/15.31 cnf(matrix-410, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u599), _u601), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u603), _u601)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u599, _u603) )).
% 15.12/15.31 cnf(matrix-411, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u607), _u609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u607), _u611)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u607) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u609, _u611) )).
% 15.12/15.31 cnf(matrix-412, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u612)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u608) )).
% 15.12/15.31 cnf(matrix-413, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u610), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u608), _u612)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u610, _u612) )).
% 15.12/15.31 cnf(matrix-414, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u616), _u618) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u620), _u618)) | ( _u616 = _u620) | ( _u618 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-415, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u617), _u619) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u621), _u619)) | ( _u617 != _u621) )).
% 15.12/15.31 cnf(matrix-416, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u617), _u619) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u621), _u619)) | ( _u619 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-417, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u625), _u627) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u625), _u629)) | ( _u627 = _u629) | ( _u625 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-418, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u628) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u630)) | ( _u628 != _u630) )).
% 15.12/15.31 cnf(matrix-419, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u628) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u626), _u630)) | ( _u626 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-420, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u633), _u635) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u633 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u635 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-421, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u634), _u636) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u634 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-422, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u634), _u636) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u636 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-423, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u637), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-424, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u638) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-425, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u639, _u640) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u640, _u639) | ( _u639 = _u640) )).
% 15.12/15.31 cnf(matrix-426, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u641, _u642) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u642, _u643) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u641, _u643) )).
% 15.12/15.31 cnf(matrix-427, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u644, _u645) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u646, _u644), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u646, _u645)) )).
% 15.12/15.31 cnf(matrix-428, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u647, _u648) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u648, _u647) )).
% 15.12/15.31 cnf(matrix-429, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u649, _u649) )).
% 15.12/15.31 cnf(matrix-430, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u650, _u651) | ( _u650 = _u651) | hBOOL(hAPP(hAPP(_u652, _u651), _u650)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u651, _u650) )).
% 15.12/15.31 cnf(matrix-431, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u653, _u654) | ( _u653 != _u654) )).
% 15.12/15.31 cnf(matrix-432, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u655, _u656) | ( _u656 != _u655) )).
% 15.12/15.31 cnf(matrix-433, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u657, _u657) )).
% 15.12/15.31 cnf(matrix-434, plain, ( ( _u658 = _u659) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u658, _u659) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u659, _u658) )).
% 15.12/15.31 cnf(matrix-435, plain, ( ( _u662 = _u664) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u662, _u664) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u664, _u662) )).
% 15.12/15.31 cnf(matrix-436, plain, ( ( _u663 != _u665) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u663, _u665) )).
% 15.12/15.31 cnf(matrix-437, plain, ( ( _u663 != _u665) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u665, _u663) )).
% 15.12/15.31 cnf(matrix-438, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u666, _u666) )).
% 15.12/15.31 cnf(matrix-439, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u667, _u668) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u668, _u667)) )).
% 15.12/15.31 cnf(matrix-440, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, _u671)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u670, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u669, _u671))) )).
% 15.12/15.31 cnf(matrix-441, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u672, _u673), _u674) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u672, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u673, _u674))) )).
% 15.12/15.31 cnf(matrix-442, plain, ( ( _u680 = _u682) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u678, _u680) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u678, _u682)) )).
% 15.12/15.31 cnf(matrix-443, plain, ( ( _u681 != _u683) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u681) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u679, _u683)) )).
% 15.12/15.31 cnf(matrix-444, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u687, _u689) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u691, _u689)) | ( _u687 = _u691) )).
% 15.12/15.31 cnf(matrix-445, plain, ( ( _u688 != _u692) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u688, _u690) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u692, _u690)) )).
% 15.12/15.31 cnf(matrix-446, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u694, _u695)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), _u694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u693), _u695))) )).
% 15.12/15.31 cnf(matrix-447, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u696, _u697)), _u698) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u696), _u698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u697), _u698))) )).
% 15.12/15.31 cnf(matrix-448, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u699), _u700) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u700), _u699)) )).
% 15.12/15.31 cnf(matrix-449, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u701), _u702)), _u703) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u702), _u703))) )).
% 15.12/15.31 cnf(matrix-450, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u704, _u705)), _u706) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u704), _u706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u705), _u706))) )).
% 15.12/15.31 cnf(matrix-451, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u707) = _u707) )).
% 15.12/15.31 cnf(matrix-452, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u710), _u712)) | ( _u710 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-453, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u710), _u712)) | ( _u712 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-454, plain, ( ( _u711 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u713 != 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), _u711), _u713)) )).
% 15.12/15.31 cnf(matrix-455, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u714), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u714) )).
% 15.12/15.31 cnf(matrix-456, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u717), _u719) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u717 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-457, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u717), _u719) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u719 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-458, plain, ( ( _u718 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u720 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u718), _u720) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-459, plain, ( ~class_Fields_Ofield__inverse__zero(_u721) | ( c_Rings_Oinverse__class_Oinverse(_u721, c_Groups_Ozero__class_Ozero(_u721)) = c_Groups_Ozero__class_Ozero(_u721)) )).
% 15.12/15.31 cnf(matrix-460, plain, ( ( _u722 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u722) )).
% 15.12/15.31 cnf(matrix-461, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u723, _u724) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u725) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u725), _u723), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u725), _u724)) )).
% 15.12/15.31 cnf(matrix-462, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u726, _u727) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u728) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u726), _u728), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u727), _u728)) )).
% 15.12/15.31 cnf(matrix-463, plain, ( ( _u730 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u729, _u730) )).
% 15.12/15.31 cnf(matrix-464, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u734), _u736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u738), _u736)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u736) )).
% 15.12/15.31 cnf(matrix-465, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u734), _u736), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u738), _u736)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u734, _u738) )).
% 15.12/15.31 cnf(matrix-466, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u737) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u735, _u739) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u735), _u737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u739), _u737)) )).
% 15.12/15.31 cnf(matrix-467, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u747)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u743) )).
% 15.12/15.31 cnf(matrix-468, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u743), _u747)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u745, _u747) )).
% 15.12/15.31 cnf(matrix-469, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u744) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u746, _u748) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u744), _u746), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u744), _u748)) )).
% 15.12/15.31 cnf(matrix-470, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u749, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-471, 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), _u752), _u754)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u752) )).
% 15.12/15.31 cnf(matrix-472, 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), _u752), _u754)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u754) )).
% 15.12/15.31 cnf(matrix-473, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u753) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u755) | 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), _u753), _u755)) )).
% 15.12/15.31 cnf(matrix-474, plain, ( ( _u757 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u757) )).
% 15.12/15.31 cnf(matrix-475, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u758) | ( _u758 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-476, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u759, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-477, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u762, _u764) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u762, _u764) )).
% 15.12/15.31 cnf(matrix-478, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u762, _u764) | ( _u762 != _u764) )).
% 15.12/15.31 cnf(matrix-479, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u763, _u765) | ( _u763 = _u765) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u763, _u765) )).
% 15.12/15.31 cnf(matrix-480, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u768, _u770) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u768, _u770) | ( _u768 = _u770) )).
% 15.12/15.31 cnf(matrix-481, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u769, _u771) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u769, _u771) )).
% 15.12/15.31 cnf(matrix-482, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u769, _u771) | ( _u769 != _u771) )).
% 15.12/15.31 cnf(matrix-483, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u772) = _u772) )).
% 15.12/15.31 cnf(matrix-484, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u773, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u773) )).
% 15.12/15.31 cnf(matrix-485, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u778) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u776 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-486, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u778) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u778 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-487, plain, ( ( _u777 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u779 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u777, _u779) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-488, plain, ( ( _u781 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u780, _u781) != _u780) )).
% 15.12/15.31 cnf(matrix-489, plain, ( ~class_Fields_Ofield__inverse__zero(_u782) | ( c_Rings_Oinverse__class_Oinverse(_u782, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), _u783), _u784)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u782), c_Rings_Oinverse__class_Oinverse(_u782, _u783)), c_Rings_Oinverse__class_Oinverse(_u782, _u784))) )).
% 15.12/15.31 cnf(matrix-490, plain, ( ~class_Fields_Ofield__inverse__zero(_u785) | ( c_Rings_Oinverse__class_Oinverse(_u785, _u786) != c_Groups_Oone__class_Oone(_u785)) | ( _u786 = c_Groups_Oone__class_Oone(_u785)) )).
% 15.12/15.31 cnf(matrix-491, plain, ( ~class_Fields_Ofield__inverse__zero(_u785) | ( _u786 != c_Groups_Oone__class_Oone(_u785)) | ( c_Rings_Oinverse__class_Oinverse(_u785, _u786) = c_Groups_Oone__class_Oone(_u785)) )).
% 15.12/15.31 cnf(matrix-492, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u787, _u788), _u787) )).
% 15.12/15.31 cnf(matrix-493, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u789, _u790), _u790) )).
% 15.12/15.31 cnf(matrix-494, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u796, _u798) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u794, _u796), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u794, _u798)) )).
% 15.12/15.31 cnf(matrix-495, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u797, _u799) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u795, _u797), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u795, _u799)) )).
% 15.12/15.31 cnf(matrix-496, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u800, _u801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u800, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u801, _u802)) )).
% 15.12/15.31 cnf(matrix-497, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u803, _u804) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u803, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u805, _u804)) )).
% 15.12/15.31 cnf(matrix-498, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u806, _u807) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u806, _u808), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u807, _u808)) )).
% 15.12/15.31 cnf(matrix-499, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u809, _u810) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u811, _u812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u809, _u811), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u810, _u812)) )).
% 15.12/15.31 cnf(matrix-500, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u813, _u814) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u815, _u814) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u813, _u816)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u815, _u816) )).
% 15.12/15.31 cnf(matrix-501, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u817, _u818), _u819) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u817, _u819) )).
% 15.12/15.31 cnf(matrix-502, plain, ( ( _u820 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u821), _u820) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u822), _u820)) | ( _u821 = _u822) )).
% 15.12/15.31 cnf(matrix-503, plain, ( ( _u820 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u821 != _u822) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u821), _u820) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u822), _u820)) )).
% 15.12/15.31 cnf(matrix-504, plain, ( ( _u823 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u824) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u825)) | ( _u824 = _u825) )).
% 15.12/15.31 cnf(matrix-505, plain, ( ( _u823 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u824 != _u825) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u824) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u823), _u825)) )).
% 15.12/15.31 cnf(matrix-506, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u828), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u830), _u830)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u828 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-507, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u828), _u828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u830), _u830)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u830 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-508, plain, ( ( _u829 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u831 != 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), _u829), _u829), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u831), _u831)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-509, plain, ( ( _u832 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u832), _u833)) | ( _u833 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u832 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-510, plain, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-511, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u834) = _u834) )).
% 15.12/15.31 cnf(matrix-512, 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)) )).
% 15.12/15.31 cnf(matrix-513, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u835) | ~c_Orderings_Oord__class_Oless__eq(_u835, c_Rings_Oinverse__class_Oinverse(_u835, _u836), c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless__eq(_u835, _u836, c_Groups_Ozero__class_Ozero(_u835)) )).
% 15.12/15.31 cnf(matrix-514, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u835) | ~c_Orderings_Oord__class_Oless__eq(_u835, _u836, c_Groups_Ozero__class_Ozero(_u835)) | c_Orderings_Oord__class_Oless__eq(_u835, c_Rings_Oinverse__class_Oinverse(_u835, _u836), c_Groups_Ozero__class_Ozero(_u835)) )).
% 15.12/15.31 cnf(matrix-515, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u837) | ~c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), c_Rings_Oinverse__class_Oinverse(_u837, _u838)) | c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), _u838) )).
% 15.12/15.31 cnf(matrix-516, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u837) | ~c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), _u838) | c_Orderings_Oord__class_Oless__eq(_u837, c_Groups_Ozero__class_Ozero(_u837), c_Rings_Oinverse__class_Oinverse(_u837, _u838)) )).
% 15.12/15.31 cnf(matrix-517, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u839) | ~c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), c_Rings_Oinverse__class_Oinverse(_u839, _u840)) | c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), _u840) )).
% 15.12/15.31 cnf(matrix-518, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u839) | ~c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), _u840) | c_Orderings_Oord__class_Oless(_u839, c_Groups_Ozero__class_Ozero(_u839), c_Rings_Oinverse__class_Oinverse(_u839, _u840)) )).
% 15.12/15.31 cnf(matrix-519, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u841) | ~c_Orderings_Oord__class_Oless(_u841, c_Rings_Oinverse__class_Oinverse(_u841, _u842), c_Groups_Ozero__class_Ozero(_u841)) | c_Orderings_Oord__class_Oless(_u841, _u842, c_Groups_Ozero__class_Ozero(_u841)) )).
% 15.12/15.31 cnf(matrix-520, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u841) | ~c_Orderings_Oord__class_Oless(_u841, _u842, c_Groups_Ozero__class_Ozero(_u841)) | c_Orderings_Oord__class_Oless(_u841, c_Rings_Oinverse__class_Oinverse(_u841, _u842), c_Groups_Ozero__class_Ozero(_u841)) )).
% 15.12/15.31 cnf(matrix-521, plain, ( ~class_Fields_Olinordered__field(_u843) | ~c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), _u844) | c_Orderings_Oord__class_Oless(_u843, c_Groups_Ozero__class_Ozero(_u843), c_Rings_Oinverse__class_Oinverse(_u843, _u844)) )).
% 15.12/15.31 cnf(matrix-522, plain, ( ~class_Fields_Olinordered__field(_u845) | ~c_Orderings_Oord__class_Oless(_u845, c_Groups_Ozero__class_Ozero(_u845), c_Rings_Oinverse__class_Oinverse(_u845, _u846)) | ( _u846 = c_Groups_Ozero__class_Ozero(_u845)) | c_Orderings_Oord__class_Oless(_u845, c_Groups_Ozero__class_Ozero(_u845), _u846) )).
% 15.12/15.31 cnf(matrix-523, plain, ( ~class_Fields_Olinordered__field(_u847) | ~c_Orderings_Oord__class_Oless(_u847, _u848, c_Groups_Ozero__class_Ozero(_u847)) | c_Orderings_Oord__class_Oless(_u847, c_Rings_Oinverse__class_Oinverse(_u847, _u848), c_Groups_Ozero__class_Ozero(_u847)) )).
% 15.12/15.31 cnf(matrix-524, plain, ( ~class_Fields_Olinordered__field(_u849) | ~c_Orderings_Oord__class_Oless(_u849, _u850, _u851) | ~c_Orderings_Oord__class_Oless(_u849, c_Groups_Ozero__class_Ozero(_u849), _u850) | c_Orderings_Oord__class_Oless(_u849, c_Rings_Oinverse__class_Oinverse(_u849, _u851), c_Rings_Oinverse__class_Oinverse(_u849, _u850)) )).
% 15.12/15.31 cnf(matrix-525, plain, ( ~class_Fields_Olinordered__field(_u852) | ~c_Orderings_Oord__class_Oless(_u852, _u853, _u854) | ~c_Orderings_Oord__class_Oless(_u852, _u854, c_Groups_Ozero__class_Ozero(_u852)) | c_Orderings_Oord__class_Oless(_u852, c_Rings_Oinverse__class_Oinverse(_u852, _u854), c_Rings_Oinverse__class_Oinverse(_u852, _u853)) )).
% 15.12/15.31 cnf(matrix-526, plain, ( ~class_Fields_Olinordered__field(_u855) | ~c_Orderings_Oord__class_Oless(_u855, c_Rings_Oinverse__class_Oinverse(_u855, _u856), c_Groups_Ozero__class_Ozero(_u855)) | ( _u856 = c_Groups_Ozero__class_Ozero(_u855)) | c_Orderings_Oord__class_Oless(_u855, _u856, c_Groups_Ozero__class_Ozero(_u855)) )).
% 15.12/15.31 cnf(matrix-527, plain, ( ~class_Fields_Olinordered__field(_u857) | ~c_Orderings_Oord__class_Oless(_u857, c_Rings_Oinverse__class_Oinverse(_u857, _u858), c_Rings_Oinverse__class_Oinverse(_u857, _u859)) | ~c_Orderings_Oord__class_Oless(_u857, c_Groups_Ozero__class_Ozero(_u857), _u858) | c_Orderings_Oord__class_Oless(_u857, _u859, _u858) )).
% 15.12/15.31 cnf(matrix-528, 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) )).
% 15.12/15.31 cnf(matrix-529, 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, _u865, _u867)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u865) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u867) )).
% 15.12/15.31 cnf(matrix-530, 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, _u866, _u868)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u866) )).
% 15.12/15.31 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, _u866, _u868)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u868) )).
% 15.12/15.31 cnf(matrix-532, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u869) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u870), _u869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u871), _u869)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u870, _u871) )).
% 15.12/15.31 cnf(matrix-533, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u869) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u870, _u871) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u870), _u869), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u871), _u869)) )).
% 15.12/15.31 cnf(matrix-534, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u872) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u873) | 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), _u872), _u873)) )).
% 15.12/15.31 cnf(matrix-535, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u874) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u875, _u876) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u874), _u875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u874), _u876)) )).
% 15.12/15.31 cnf(matrix-536, plain, ( ~class_Fields_Olinordered__field(_u877) | ~c_Orderings_Oord__class_Oless__eq(_u877, _u878, _u879) | ~c_Orderings_Oord__class_Oless(_u877, c_Groups_Ozero__class_Ozero(_u877), _u878) | c_Orderings_Oord__class_Oless__eq(_u877, c_Rings_Oinverse__class_Oinverse(_u877, _u879), c_Rings_Oinverse__class_Oinverse(_u877, _u878)) )).
% 15.12/15.31 cnf(matrix-537, plain, ( ~class_Fields_Olinordered__field(_u880) | ~c_Orderings_Oord__class_Oless__eq(_u880, _u881, _u882) | ~c_Orderings_Oord__class_Oless(_u880, _u882, c_Groups_Ozero__class_Ozero(_u880)) | c_Orderings_Oord__class_Oless__eq(_u880, c_Rings_Oinverse__class_Oinverse(_u880, _u882), c_Rings_Oinverse__class_Oinverse(_u880, _u881)) )).
% 15.12/15.31 cnf(matrix-538, plain, ( ~class_Fields_Olinordered__field(_u883) | ~c_Orderings_Oord__class_Oless__eq(_u883, c_Rings_Oinverse__class_Oinverse(_u883, _u884), c_Rings_Oinverse__class_Oinverse(_u883, _u885)) | ~c_Orderings_Oord__class_Oless(_u883, c_Groups_Ozero__class_Ozero(_u883), _u884) | c_Orderings_Oord__class_Oless__eq(_u883, _u885, _u884) )).
% 15.12/15.31 cnf(matrix-539, plain, ( ~class_Fields_Olinordered__field(_u886) | ~c_Orderings_Oord__class_Oless__eq(_u886, c_Rings_Oinverse__class_Oinverse(_u886, _u887), c_Rings_Oinverse__class_Oinverse(_u886, _u888)) | ~c_Orderings_Oord__class_Oless(_u886, _u888, c_Groups_Ozero__class_Ozero(_u886)) | c_Orderings_Oord__class_Oless__eq(_u886, _u888, _u887) )).
% 15.12/15.31 cnf(matrix-540, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | ~c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | c_Orderings_Oord__class_Oless__eq(_u889, _u890, c_Groups_Ozero__class_Ozero(_u889)) | c_Orderings_Oord__class_Oless__eq(_u889, c_Groups_Oone__class_Oone(_u889), _u890) )).
% 15.12/15.31 cnf(matrix-541, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | ~c_Orderings_Oord__class_Oless__eq(_u889, _u890, c_Groups_Ozero__class_Ozero(_u889)) )).
% 15.12/15.31 cnf(matrix-542, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u889) | c_Orderings_Oord__class_Oless__eq(_u889, c_Rings_Oinverse__class_Oinverse(_u889, _u890), c_Groups_Oone__class_Oone(_u889)) | ~c_Orderings_Oord__class_Oless__eq(_u889, c_Groups_Oone__class_Oone(_u889), _u890) )).
% 15.12/15.31 cnf(matrix-543, plain, ( ~class_Fields_Ofield(_u891) | ( _u892 = c_Groups_Ozero__class_Ozero(_u891)) | ( _u893 = c_Groups_Ozero__class_Ozero(_u891)) | ( c_Groups_Oplus__class_Oplus(_u891, c_Rings_Oinverse__class_Oinverse(_u891, _u892), c_Rings_Oinverse__class_Oinverse(_u891, _u893)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u891), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u891), c_Groups_Oplus__class_Oplus(_u891, _u892, _u893)), c_Rings_Oinverse__class_Oinverse(_u891, _u892))), c_Rings_Oinverse__class_Oinverse(_u891, _u893))) )).
% 15.12/15.31 cnf(matrix-544, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) | c_Orderings_Oord__class_Oless(_u894, c_Groups_Ozero__class_Ozero(_u894), _u895) )).
% 15.12/15.31 cnf(matrix-545, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) | c_Orderings_Oord__class_Oless(_u894, _u895, c_Groups_Oone__class_Oone(_u894)) )).
% 15.12/15.31 cnf(matrix-546, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u894) | ~c_Orderings_Oord__class_Oless(_u894, c_Groups_Ozero__class_Ozero(_u894), _u895) | ~c_Orderings_Oord__class_Oless(_u894, _u895, c_Groups_Oone__class_Oone(_u894)) | c_Orderings_Oord__class_Oless(_u894, c_Groups_Oone__class_Oone(_u894), c_Rings_Oinverse__class_Oinverse(_u894, _u895)) )).
% 15.12/15.31 cnf(matrix-547, plain, ( ~class_Fields_Olinordered__field(_u896) | ~c_Orderings_Oord__class_Oless(_u896, c_Groups_Ozero__class_Ozero(_u896), _u897) | ~c_Orderings_Oord__class_Oless(_u896, _u897, c_Groups_Oone__class_Oone(_u896)) | c_Orderings_Oord__class_Oless(_u896, c_Groups_Oone__class_Oone(_u896), c_Rings_Oinverse__class_Oinverse(_u896, _u897)) )).
% 15.12/15.31 cnf(matrix-548, plain, ( ~class_Fields_Ofield(_u898) | ( _u899 = c_Groups_Ozero__class_Ozero(_u898)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u898), c_Rings_Oinverse__class_Oinverse(_u898, _u899)), _u899) = c_Groups_Oone__class_Oone(_u898)) )).
% 15.12/15.31 cnf(matrix-549, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u900) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u902), _u900)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u901, _u902) )).
% 15.12/15.31 cnf(matrix-550, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u900) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u901, _u902) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u901), _u900), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u902), _u900)) )).
% 15.12/15.31 cnf(matrix-551, 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)) )).
% 15.12/15.31 cnf(matrix-552, 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))) )).
% 15.12/15.31 cnf(matrix-553, 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))) )).
% 15.12/15.31 cnf(matrix-554, 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____)) )).
% 15.12/15.31 cnf(matrix-555, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u904) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u906)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u905, _u906) )).
% 15.12/15.31 cnf(matrix-556, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u904) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u905, _u906) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u904), _u906)) )).
% 15.12/15.31 cnf(matrix-557, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u907) | ~c_Orderings_Oord__class_Oless(_u907, c_Groups_Ozero__class_Ozero(_u907), _u908) | ~c_Orderings_Oord__class_Oless__eq(_u907, c_Groups_Ozero__class_Ozero(_u907), _u909) | c_Orderings_Oord__class_Oless(_u907, c_Groups_Ozero__class_Ozero(_u907), c_Groups_Oplus__class_Oplus(_u907, _u908, _u909)) )).
% 15.12/15.31 cnf(matrix-558, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u910) | ~c_Orderings_Oord__class_Oless__eq(_u910, c_Groups_Ozero__class_Ozero(_u910), _u911) | ~c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), _u912) | c_Orderings_Oord__class_Oless(_u910, c_Groups_Ozero__class_Ozero(_u910), c_Groups_Oplus__class_Oplus(_u910, _u911, _u912)) )).
% 15.12/15.31 cnf(matrix-559, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u913) | ~c_Orderings_Oord__class_Oless(_u913, c_Groups_Ozero__class_Ozero(_u913), _u914) | ~c_Orderings_Oord__class_Oless__eq(_u913, _u915, _u916) | c_Orderings_Oord__class_Oless(_u913, _u915, c_Groups_Oplus__class_Oplus(_u913, _u914, _u916)) )).
% 15.12/15.31 cnf(matrix-560, plain, ( ~class_Groups_Ogroup__add(_u917) | ( c_Groups_Ominus__class_Ominus(_u917, c_Groups_Ozero__class_Ozero(_u917), _u918) = c_Groups_Ouminus__class_Ouminus(_u917, _u918)) )).
% 15.12/15.31 cnf(matrix-561, plain, ( ~class_Groups_Ogroup__add(_u919) | ( c_Groups_Ominus__class_Ominus(_u919, _u920, _u921) = c_Groups_Oplus__class_Oplus(_u919, _u920, c_Groups_Ouminus__class_Ouminus(_u919, _u921))) )).
% 15.12/15.31 cnf(matrix-562, plain, ( ~class_Groups_Oab__group__add(_u922) | ( c_Groups_Ominus__class_Ominus(_u922, _u923, _u924) = c_Groups_Oplus__class_Oplus(_u922, _u923, c_Groups_Ouminus__class_Ouminus(_u922, _u924))) )).
% 15.12/15.31 cnf(matrix-563, plain, ( ~class_Groups_Ogroup__add(_u925) | ( c_Groups_Ominus__class_Ominus(_u925, _u926, c_Groups_Ouminus__class_Ouminus(_u925, _u927)) = c_Groups_Oplus__class_Oplus(_u925, _u926, _u927)) )).
% 15.12/15.31 cnf(matrix-564, plain, ( ~class_Groups_Ogroup__add(_u928) | ( c_Groups_Ominus__class_Ominus(_u928, _u929, c_Groups_Ozero__class_Ozero(_u928)) = _u929) )).
% 15.12/15.31 cnf(matrix-565, plain, ( ~class_Groups_Ogroup__add(_u930) | ( c_Groups_Ominus__class_Ominus(_u930, _u931, _u931) = c_Groups_Ozero__class_Ozero(_u930)) )).
% 15.12/15.31 cnf(matrix-566, plain, ( ~class_Groups_Oab__group__add(_u932) | ( _u933 != _u934) | ( c_Groups_Ominus__class_Ominus(_u932, _u933, _u934) = c_Groups_Ozero__class_Ozero(_u932)) )).
% 15.12/15.31 cnf(matrix-567, plain, ( ~class_Groups_Oab__group__add(_u932) | ( c_Groups_Ominus__class_Ominus(_u932, _u933, _u934) != c_Groups_Ozero__class_Ozero(_u932)) | ( _u933 = _u934) )).
% 15.12/15.31 cnf(matrix-568, plain, ( ~class_Groups_Ogroup__add(_u935) | ( c_Groups_Ominus__class_Ominus(_u935, _u936, _u937) != c_Groups_Ozero__class_Ozero(_u935)) | ( _u936 = _u937) )).
% 15.12/15.31 cnf(matrix-569, plain, ( ~class_Groups_Ogroup__add(_u935) | ( _u936 != _u937) | ( c_Groups_Ominus__class_Ominus(_u935, _u936, _u937) = c_Groups_Ozero__class_Ozero(_u935)) )).
% 15.12/15.31 cnf(matrix-570, plain, ( ~class_Groups_Ogroup__add(_u938) | ( c_Groups_Ouminus__class_Ouminus(_u938, c_Groups_Ozero__class_Ozero(_u938)) = c_Groups_Ozero__class_Ozero(_u938)) )).
% 15.12/15.31 cnf(matrix-571, plain, ( ~class_Groups_Ogroup__add(_u939) | ( c_Groups_Ozero__class_Ozero(_u939) != c_Groups_Ouminus__class_Ouminus(_u939, _u940)) | ( c_Groups_Ozero__class_Ozero(_u939) = _u940) )).
% 15.12/15.31 cnf(matrix-572, plain, ( ~class_Groups_Ogroup__add(_u939) | ( c_Groups_Ozero__class_Ozero(_u939) != _u940) | ( c_Groups_Ozero__class_Ozero(_u939) = c_Groups_Ouminus__class_Ouminus(_u939, _u940)) )).
% 15.12/15.31 cnf(matrix-573, plain, ( ~class_Groups_Olinordered__ab__group__add(_u941) | ( _u942 != c_Groups_Ouminus__class_Ouminus(_u941, _u942)) | ( _u942 = c_Groups_Ozero__class_Ozero(_u941)) )).
% 15.12/15.31 cnf(matrix-574, plain, ( ~class_Groups_Olinordered__ab__group__add(_u941) | ( _u942 != c_Groups_Ozero__class_Ozero(_u941)) | ( _u942 = c_Groups_Ouminus__class_Ouminus(_u941, _u942)) )).
% 15.12/15.31 cnf(matrix-575, plain, ( ~class_Groups_Ogroup__add(_u943) | ( c_Groups_Ouminus__class_Ouminus(_u943, _u944) != c_Groups_Ozero__class_Ozero(_u943)) | ( _u944 = c_Groups_Ozero__class_Ozero(_u943)) )).
% 15.12/15.31 cnf(matrix-576, plain, ( ~class_Groups_Ogroup__add(_u943) | ( _u944 != c_Groups_Ozero__class_Ozero(_u943)) | ( c_Groups_Ouminus__class_Ouminus(_u943, _u944) = c_Groups_Ozero__class_Ozero(_u943)) )).
% 15.12/15.31 cnf(matrix-577, plain, ( ~class_Groups_Olinordered__ab__group__add(_u945) | ( c_Groups_Ouminus__class_Ouminus(_u945, _u946) != _u946) | ( _u946 = c_Groups_Ozero__class_Ozero(_u945)) )).
% 15.12/15.31 cnf(matrix-578, plain, ( ~class_Groups_Olinordered__ab__group__add(_u945) | ( _u946 != c_Groups_Ozero__class_Ozero(_u945)) | ( c_Groups_Ouminus__class_Ouminus(_u945, _u946) = _u946) )).
% 15.12/15.31 cnf(matrix-579, plain, ( ~class_Groups_Oordered__ab__group__add(_u947) | ( c_Groups_Ominus__class_Ominus(_u947, _u948, _u949) != c_Groups_Ominus__class_Ominus(_u947, _u950, _u951)) | ~c_Orderings_Oord__class_Oless__eq(_u947, _u948, _u949) | c_Orderings_Oord__class_Oless__eq(_u947, _u950, _u951) )).
% 15.12/15.31 cnf(matrix-580, plain, ( ~class_Groups_Oordered__ab__group__add(_u947) | ( c_Groups_Ominus__class_Ominus(_u947, _u948, _u949) != c_Groups_Ominus__class_Ominus(_u947, _u950, _u951)) | ~c_Orderings_Oord__class_Oless__eq(_u947, _u950, _u951) | c_Orderings_Oord__class_Oless__eq(_u947, _u948, _u949) )).
% 15.12/15.31 cnf(matrix-581, plain, ( ~class_Groups_Oordered__ab__group__add(_u952) | ~c_Orderings_Oord__class_Oless__eq(_u952, _u953, _u954) | c_Orderings_Oord__class_Oless__eq(_u952, c_Groups_Ouminus__class_Ouminus(_u952, _u954), c_Groups_Ouminus__class_Ouminus(_u952, _u953)) )).
% 15.12/15.31 cnf(matrix-582, plain, ( ~class_Groups_Oordered__ab__group__add(_u955) | ~c_Orderings_Oord__class_Oless__eq(_u955, c_Groups_Ouminus__class_Ouminus(_u955, _u956), c_Groups_Ouminus__class_Ouminus(_u955, _u957)) | c_Orderings_Oord__class_Oless__eq(_u955, _u957, _u956) )).
% 15.12/15.31 cnf(matrix-583, plain, ( ~class_Groups_Oordered__ab__group__add(_u955) | ~c_Orderings_Oord__class_Oless__eq(_u955, _u957, _u956) | c_Orderings_Oord__class_Oless__eq(_u955, c_Groups_Ouminus__class_Ouminus(_u955, _u956), c_Groups_Ouminus__class_Ouminus(_u955, _u957)) )).
% 15.12/15.31 cnf(matrix-584, plain, ( ~class_Groups_Oordered__ab__group__add(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u959), _u960) | c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u960), _u959) )).
% 15.12/15.31 cnf(matrix-585, plain, ( ~class_Groups_Oordered__ab__group__add(_u958) | ~c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u960), _u959) | c_Orderings_Oord__class_Oless__eq(_u958, c_Groups_Ouminus__class_Ouminus(_u958, _u959), _u960) )).
% 15.12/15.31 cnf(matrix-586, plain, ( ~class_Groups_Oordered__ab__group__add(_u961) | ~c_Orderings_Oord__class_Oless__eq(_u961, _u962, c_Groups_Ouminus__class_Ouminus(_u961, _u963)) | c_Orderings_Oord__class_Oless__eq(_u961, _u963, c_Groups_Ouminus__class_Ouminus(_u961, _u962)) )).
% 15.12/15.31 cnf(matrix-587, plain, ( ~class_Groups_Oordered__ab__group__add(_u961) | ~c_Orderings_Oord__class_Oless__eq(_u961, _u963, c_Groups_Ouminus__class_Ouminus(_u961, _u962)) | c_Orderings_Oord__class_Oless__eq(_u961, _u962, c_Groups_Ouminus__class_Ouminus(_u961, _u963)) )).
% 15.12/15.31 cnf(matrix-588, plain, ( ~class_Groups_Oordered__ab__group__add(_u964) | ( c_Groups_Ominus__class_Ominus(_u964, _u965, _u966) != c_Groups_Ominus__class_Ominus(_u964, _u967, _u968)) | ~c_Orderings_Oord__class_Oless(_u964, _u965, _u966) | c_Orderings_Oord__class_Oless(_u964, _u967, _u968) )).
% 15.12/15.31 cnf(matrix-589, plain, ( ~class_Groups_Oordered__ab__group__add(_u964) | ( c_Groups_Ominus__class_Ominus(_u964, _u965, _u966) != c_Groups_Ominus__class_Ominus(_u964, _u967, _u968)) | ~c_Orderings_Oord__class_Oless(_u964, _u967, _u968) | c_Orderings_Oord__class_Oless(_u964, _u965, _u966) )).
% 15.12/15.31 cnf(matrix-590, plain, ( ~class_Groups_Oordered__ab__group__add(_u969) | ~c_Orderings_Oord__class_Oless(_u969, _u970, c_Groups_Ouminus__class_Ouminus(_u969, _u971)) | c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ouminus__class_Ouminus(_u969, _u970)) )).
% 15.12/15.31 cnf(matrix-591, plain, ( ~class_Groups_Oordered__ab__group__add(_u969) | ~c_Orderings_Oord__class_Oless(_u969, _u971, c_Groups_Ouminus__class_Ouminus(_u969, _u970)) | c_Orderings_Oord__class_Oless(_u969, _u970, c_Groups_Ouminus__class_Ouminus(_u969, _u971)) )).
% 15.12/15.31 cnf(matrix-592, plain, ( ~class_Groups_Oordered__ab__group__add(_u972) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u973), _u974) | c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u974), _u973) )).
% 15.12/15.31 cnf(matrix-593, plain, ( ~class_Groups_Oordered__ab__group__add(_u972) | ~c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u974), _u973) | c_Orderings_Oord__class_Oless(_u972, c_Groups_Ouminus__class_Ouminus(_u972, _u973), _u974) )).
% 15.12/15.31 cnf(matrix-594, plain, ( ~class_Groups_Oordered__ab__group__add(_u975) | ~c_Orderings_Oord__class_Oless(_u975, c_Groups_Ouminus__class_Ouminus(_u975, _u976), c_Groups_Ouminus__class_Ouminus(_u975, _u977)) | c_Orderings_Oord__class_Oless(_u975, _u977, _u976) )).
% 15.12/15.31 cnf(matrix-595, plain, ( ~class_Groups_Oordered__ab__group__add(_u975) | ~c_Orderings_Oord__class_Oless(_u975, _u977, _u976) | c_Orderings_Oord__class_Oless(_u975, c_Groups_Ouminus__class_Ouminus(_u975, _u976), c_Groups_Ouminus__class_Ouminus(_u975, _u977)) )).
% 15.12/15.31 cnf(matrix-596, plain, ( ~class_Groups_Ogroup__add(_u978) | ( c_Groups_Oplus__class_Oplus(_u978, c_Groups_Ominus__class_Ominus(_u978, _u979, _u980), _u980) = _u979) )).
% 15.12/15.31 cnf(matrix-597, plain, ( ~class_Groups_Ogroup__add(_u981) | ( c_Groups_Ominus__class_Ominus(_u981, c_Groups_Oplus__class_Oplus(_u981, _u982, _u983), _u983) = _u982) )).
% 15.12/15.31 cnf(matrix-598, plain, ( ~class_Groups_Oab__group__add(_u984) | ( c_Groups_Ouminus__class_Ouminus(_u984, c_Groups_Oplus__class_Oplus(_u984, _u985, _u986)) = c_Groups_Oplus__class_Oplus(_u984, c_Groups_Ouminus__class_Ouminus(_u984, _u985), c_Groups_Ouminus__class_Ouminus(_u984, _u986))) )).
% 15.12/15.31 cnf(matrix-599, plain, ( ~class_Groups_Ogroup__add(_u987) | ( c_Groups_Ouminus__class_Ouminus(_u987, c_Groups_Oplus__class_Oplus(_u987, _u988, _u989)) = c_Groups_Oplus__class_Oplus(_u987, c_Groups_Ouminus__class_Ouminus(_u987, _u989), c_Groups_Ouminus__class_Ouminus(_u987, _u988))) )).
% 15.12/15.31 cnf(matrix-600, plain, ( ~class_Groups_Ogroup__add(_u990) | ( c_Groups_Oplus__class_Oplus(_u990, _u991, c_Groups_Oplus__class_Oplus(_u990, c_Groups_Ouminus__class_Ouminus(_u990, _u991), _u992)) = _u992) )).
% 15.12/15.31 cnf(matrix-601, plain, ( ~class_Groups_Ogroup__add(_u993) | ( c_Groups_Oplus__class_Oplus(_u993, c_Groups_Ouminus__class_Ouminus(_u993, _u994), c_Groups_Oplus__class_Oplus(_u993, _u994, _u995)) = _u995) )).
% 15.12/15.31 cnf(matrix-602, plain, ( ~class_Groups_Ogroup__add(_u996) | ( c_Groups_Ouminus__class_Ouminus(_u996, c_Groups_Ouminus__class_Ouminus(_u996, _u997)) = _u997) )).
% 15.12/15.31 cnf(matrix-603, plain, ( ~class_Groups_Oab__group__add(_u998) | ( c_Groups_Ouminus__class_Ouminus(_u998, c_Groups_Ominus__class_Ominus(_u998, _u999, _u1000)) = c_Groups_Ominus__class_Ominus(_u998, _u1000, _u999)) )).
% 15.12/15.31 cnf(matrix-604, plain, ( ~class_Groups_Ogroup__add(_u1001) | ( _u1002 != c_Groups_Ouminus__class_Ouminus(_u1001, _u1003)) | ( _u1003 = c_Groups_Ouminus__class_Ouminus(_u1001, _u1002)) )).
% 15.12/15.31 cnf(matrix-605, plain, ( ~class_Groups_Ogroup__add(_u1001) | ( _u1003 != c_Groups_Ouminus__class_Ouminus(_u1001, _u1002)) | ( _u1002 = c_Groups_Ouminus__class_Ouminus(_u1001, _u1003)) )).
% 15.12/15.31 cnf(matrix-606, plain, ( ~class_Groups_Ogroup__add(_u1004) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1005) != _u1006) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1006) = _u1005) )).
% 15.12/15.31 cnf(matrix-607, plain, ( ~class_Groups_Ogroup__add(_u1004) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1006) != _u1005) | ( c_Groups_Ouminus__class_Ouminus(_u1004, _u1005) = _u1006) )).
% 15.12/15.31 cnf(matrix-608, plain, ( ~class_Groups_Ogroup__add(_u1007) | ( c_Groups_Ouminus__class_Ouminus(_u1007, _u1008) != c_Groups_Ouminus__class_Ouminus(_u1007, _u1009)) | ( _u1008 = _u1009) )).
% 15.12/15.31 cnf(matrix-609, plain, ( ~class_Groups_Ogroup__add(_u1007) | ( _u1008 != _u1009) | ( c_Groups_Ouminus__class_Ouminus(_u1007, _u1008) = c_Groups_Ouminus__class_Ouminus(_u1007, _u1009)) )).
% 15.12/15.31 cnf(matrix-610, plain, ( ~class_Groups_Oab__group__add(_u1010) | ( c_Groups_Ominus__class_Ominus(_u1010, _u1011, _u1012) != c_Groups_Ominus__class_Ominus(_u1010, _u1013, _u1014)) | ( _u1011 != _u1012) | ( _u1013 = _u1014) )).
% 15.12/15.31 cnf(matrix-611, plain, ( ~class_Groups_Oab__group__add(_u1010) | ( c_Groups_Ominus__class_Ominus(_u1010, _u1011, _u1012) != c_Groups_Ominus__class_Ominus(_u1010, _u1013, _u1014)) | ( _u1013 != _u1014) | ( _u1011 = _u1012) )).
% 15.12/15.31 cnf(matrix-612, plain, ( ~class_RealVector_Oreal__algebra__1(_u1015) | ( c_RealVector_Oof__real(_u1015, _u1016) != c_RealVector_Oof__real(_u1015, _u1017)) | ( _u1016 = _u1017) )).
% 15.12/15.31 cnf(matrix-613, plain, ( ~class_RealVector_Oreal__algebra__1(_u1015) | ( _u1016 != _u1017) | ( c_RealVector_Oof__real(_u1015, _u1016) = c_RealVector_Oof__real(_u1015, _u1017)) )).
% 15.12/15.31 cnf(matrix-614, plain, ( ~class_RealVector_Oreal__algebra__1(_u1018) | ~class_RealVector_Oreal__normed__vector(_u1018) | ( c_RealVector_Oof__real(_u1018, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1019, _u1020)) = c_Groups_Ominus__class_Ominus(_u1018, c_RealVector_Oof__real(_u1018, _u1019), c_RealVector_Oof__real(_u1018, _u1020))) )).
% 15.12/15.31 cnf(matrix-615, plain, ( ~class_RealVector_Oreal__algebra__1(_u1021) | ( c_RealVector_Oof__real(_u1021, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1022, _u1023)) = c_Groups_Ominus__class_Ominus(_u1021, c_RealVector_Oof__real(_u1021, _u1022), c_RealVector_Oof__real(_u1021, _u1023))) )).
% 15.12/15.31 cnf(matrix-616, plain, ( ~class_RealVector_Oreal__algebra__1(_u1024) | ~class_RealVector_Oreal__normed__vector(_u1024) | ( c_RealVector_Oof__real(_u1024, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1025)) = c_Groups_Ouminus__class_Ouminus(_u1024, c_RealVector_Oof__real(_u1024, _u1025))) )).
% 15.12/15.31 cnf(matrix-617, plain, ( ~class_RealVector_Oreal__algebra__1(_u1026) | ( c_RealVector_Oof__real(_u1026, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1027)) = c_Groups_Ouminus__class_Ouminus(_u1026, c_RealVector_Oof__real(_u1026, _u1027))) )).
% 15.12/15.31 cnf(matrix-618, plain, ( ~class_RealVector_Oreal__normed__vector(_u1028) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1028, _u1029), c_RealVector_Onorm__class_Onorm(_u1028, _u1030)), c_RealVector_Onorm__class_Onorm(_u1028, c_Groups_Ominus__class_Ominus(_u1028, _u1029, _u1030))) )).
% 15.12/15.31 cnf(matrix-619, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1031) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), c_Groups_Ominus__class_Ominus(_u1031, _u1032, _u1033)), _u1034) = c_Groups_Ominus__class_Ominus(_u1031, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), _u1032), _u1034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1031), _u1033), _u1034))) )).
% 15.12/15.31 cnf(matrix-620, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1035) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), c_Groups_Ominus__class_Ominus(_u1035, _u1036, _u1037)), _u1038) = c_Groups_Ominus__class_Ominus(_u1035, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), _u1036), _u1038), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1035), _u1037), _u1038))) )).
% 15.12/15.31 cnf(matrix-621, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1039) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), c_Groups_Ominus__class_Ominus(_u1039, _u1041, _u1042)) = c_Groups_Ominus__class_Ominus(_u1039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), _u1041), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1039), _u1040), _u1042))) )).
% 15.12/15.31 cnf(matrix-622, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1043) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), c_Groups_Ominus__class_Ominus(_u1043, _u1045, _u1046)) = c_Groups_Ominus__class_Ominus(_u1043, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), _u1045), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1043), _u1044), _u1046))) )).
% 15.12/15.31 cnf(matrix-623, plain, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 = _u1049) | ( _u1048 = c_Groups_Ouminus__class_Ouminus(_u1047, _u1049)) )).
% 15.12/15.31 cnf(matrix-624, plain, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 != _u1049) )).
% 15.12/15.31 cnf(matrix-625, plain, ( ~class_Rings_Oidom(_u1047) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1048), _u1048) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1047), _u1049), _u1049)) | ( _u1048 != c_Groups_Ouminus__class_Ouminus(_u1047, _u1049)) )).
% 15.12/15.31 cnf(matrix-626, plain, ( ~class_Rings_Oring(_u1050) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1050), c_Groups_Ouminus__class_Ouminus(_u1050, _u1051)), c_Groups_Ouminus__class_Ouminus(_u1050, _u1052)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1050), _u1051), _u1052)) )).
% 15.12/15.31 cnf(matrix-627, plain, ( ~class_Rings_Oring(_u1053) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1053), c_Groups_Ouminus__class_Ouminus(_u1053, _u1054)), _u1055) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1053), _u1054), c_Groups_Ouminus__class_Ouminus(_u1053, _u1055))) )).
% 15.12/15.31 cnf(matrix-628, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1056) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1056), c_Groups_Ouminus__class_Ouminus(_u1056, _u1057)), _u1058) = c_Groups_Ouminus__class_Ouminus(_u1056, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1056), _u1057), _u1058))) )).
% 15.12/15.31 cnf(matrix-629, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1059) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1059), c_Groups_Ouminus__class_Ouminus(_u1059, _u1060)), _u1061) = c_Groups_Ouminus__class_Ouminus(_u1059, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1059), _u1060), _u1061))) )).
% 15.12/15.31 cnf(matrix-630, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1062), _u1063), c_Groups_Ouminus__class_Ouminus(_u1062, _u1064)) = c_Groups_Ouminus__class_Ouminus(_u1062, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1062), _u1063), _u1064))) )).
% 15.12/15.31 cnf(matrix-631, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1065) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1065), _u1066), c_Groups_Ouminus__class_Ouminus(_u1065, _u1067)) = c_Groups_Ouminus__class_Ouminus(_u1065, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1065), _u1066), _u1067))) )).
% 15.12/15.31 cnf(matrix-632, plain, ( ~class_Rings_Oring(_u1068) | ( c_Groups_Ouminus__class_Ouminus(_u1068, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1068), _u1069), _u1070)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1068), c_Groups_Ouminus__class_Ouminus(_u1068, _u1069)), _u1070)) )).
% 15.12/15.31 cnf(matrix-633, plain, ( ~class_Rings_Oring(_u1071) | ( c_Groups_Ouminus__class_Ouminus(_u1071, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1071), _u1072), _u1073)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1071), _u1072), c_Groups_Ouminus__class_Ouminus(_u1071, _u1073))) )).
% 15.12/15.31 cnf(matrix-634, plain, ( ~class_RealVector_Oreal__normed__vector(_u1074) | ( c_RealVector_Onorm__class_Onorm(_u1074, c_Groups_Ominus__class_Ominus(_u1074, _u1075, _u1076)) = c_RealVector_Onorm__class_Onorm(_u1074, c_Groups_Ominus__class_Ominus(_u1074, _u1076, _u1075))) )).
% 15.12/15.31 cnf(matrix-635, plain, ( ~class_RealVector_Oreal__normed__vector(_u1077) | ( c_RealVector_Onorm__class_Onorm(_u1077, c_Groups_Ouminus__class_Ouminus(_u1077, _u1078)) = c_RealVector_Onorm__class_Onorm(_u1077, _u1078)) )).
% 15.12/15.31 cnf(matrix-636, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u1079) | ( c_Rings_Oinverse__class_Oinverse(_u1079, c_Groups_Ouminus__class_Ouminus(_u1079, _u1080)) = c_Groups_Ouminus__class_Ouminus(_u1079, c_Rings_Oinverse__class_Oinverse(_u1079, _u1080))) )).
% 15.12/15.31 cnf(matrix-637, plain, ( ~class_Groups_Oordered__ab__group__add(_u1081) | ~c_Orderings_Oord__class_Oless__eq(_u1081, _u1082, _u1083) | c_Orderings_Oord__class_Oless__eq(_u1081, c_Groups_Ominus__class_Ominus(_u1081, _u1082, _u1083), c_Groups_Ozero__class_Ozero(_u1081)) )).
% 15.12/15.31 cnf(matrix-638, plain, ( ~class_Groups_Oordered__ab__group__add(_u1081) | ~c_Orderings_Oord__class_Oless__eq(_u1081, c_Groups_Ominus__class_Ominus(_u1081, _u1082, _u1083), c_Groups_Ozero__class_Ozero(_u1081)) | c_Orderings_Oord__class_Oless__eq(_u1081, _u1082, _u1083) )).
% 15.12/15.31 cnf(matrix-639, plain, ( ~class_Groups_Oordered__ab__group__add(_u1084) | ~c_Orderings_Oord__class_Oless(_u1084, _u1085, _u1086) | c_Orderings_Oord__class_Oless(_u1084, c_Groups_Ominus__class_Ominus(_u1084, _u1085, _u1086), c_Groups_Ozero__class_Ozero(_u1084)) )).
% 15.12/15.31 cnf(matrix-640, plain, ( ~class_Groups_Oordered__ab__group__add(_u1084) | ~c_Orderings_Oord__class_Oless(_u1084, c_Groups_Ominus__class_Ominus(_u1084, _u1085, _u1086), c_Groups_Ozero__class_Ozero(_u1084)) | c_Orderings_Oord__class_Oless(_u1084, _u1085, _u1086) )).
% 15.12/15.31 cnf(matrix-641, plain, ( ~class_Groups_Oordered__ab__group__add(_u1087) | ~c_Orderings_Oord__class_Oless__eq(_u1087, c_Groups_Ozero__class_Ozero(_u1087), c_Groups_Ouminus__class_Ouminus(_u1087, _u1088)) | c_Orderings_Oord__class_Oless__eq(_u1087, _u1088, c_Groups_Ozero__class_Ozero(_u1087)) )).
% 15.12/15.31 cnf(matrix-642, plain, ( ~class_Groups_Oordered__ab__group__add(_u1087) | ~c_Orderings_Oord__class_Oless__eq(_u1087, _u1088, c_Groups_Ozero__class_Ozero(_u1087)) | c_Orderings_Oord__class_Oless__eq(_u1087, c_Groups_Ozero__class_Ozero(_u1087), c_Groups_Ouminus__class_Ouminus(_u1087, _u1088)) )).
% 15.12/15.31 cnf(matrix-643, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ouminus__class_Ouminus(_u1089, _u1090)) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ozero__class_Ozero(_u1089)) )).
% 15.12/15.31 cnf(matrix-644, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1089) | ~c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ozero__class_Ozero(_u1089)) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1090, c_Groups_Ouminus__class_Ouminus(_u1089, _u1090)) )).
% 15.12/15.31 cnf(matrix-645, plain, ( ~class_Groups_Oordered__ab__group__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ouminus__class_Ouminus(_u1091, _u1092), c_Groups_Ozero__class_Ozero(_u1091)) | c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ozero__class_Ozero(_u1091), _u1092) )).
% 15.12/15.31 cnf(matrix-646, plain, ( ~class_Groups_Oordered__ab__group__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ozero__class_Ozero(_u1091), _u1092) | c_Orderings_Oord__class_Oless__eq(_u1091, c_Groups_Ouminus__class_Ouminus(_u1091, _u1092), c_Groups_Ozero__class_Ozero(_u1091)) )).
% 15.12/15.31 cnf(matrix-647, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ouminus__class_Ouminus(_u1093, _u1094), _u1094) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ozero__class_Ozero(_u1093), _u1094) )).
% 15.12/15.31 cnf(matrix-648, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1093) | ~c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ozero__class_Ozero(_u1093), _u1094) | c_Orderings_Oord__class_Oless__eq(_u1093, c_Groups_Ouminus__class_Ouminus(_u1093, _u1094), _u1094) )).
% 15.12/15.31 cnf(matrix-649, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1095) | ~c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ouminus__class_Ouminus(_u1095, _u1096), _u1096) | c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ozero__class_Ozero(_u1095), _u1096) )).
% 15.12/15.31 cnf(matrix-650, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1095) | ~c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ozero__class_Ozero(_u1095), _u1096) | c_Orderings_Oord__class_Oless(_u1095, c_Groups_Ouminus__class_Ouminus(_u1095, _u1096), _u1096) )).
% 15.12/15.31 cnf(matrix-651, plain, ( ~class_Groups_Oordered__ab__group__add(_u1097) | ~c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ouminus__class_Ouminus(_u1097, _u1098), c_Groups_Ozero__class_Ozero(_u1097)) | c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ozero__class_Ozero(_u1097), _u1098) )).
% 15.12/15.31 cnf(matrix-652, plain, ( ~class_Groups_Oordered__ab__group__add(_u1097) | ~c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ozero__class_Ozero(_u1097), _u1098) | c_Orderings_Oord__class_Oless(_u1097, c_Groups_Ouminus__class_Ouminus(_u1097, _u1098), c_Groups_Ozero__class_Ozero(_u1097)) )).
% 15.12/15.31 cnf(matrix-653, plain, ( ~class_Groups_Oordered__ab__group__add(_u1099) | ~c_Orderings_Oord__class_Oless(_u1099, c_Groups_Ozero__class_Ozero(_u1099), c_Groups_Ouminus__class_Ouminus(_u1099, _u1100)) | c_Orderings_Oord__class_Oless(_u1099, _u1100, c_Groups_Ozero__class_Ozero(_u1099)) )).
% 15.12/15.31 cnf(matrix-654, plain, ( ~class_Groups_Oordered__ab__group__add(_u1099) | ~c_Orderings_Oord__class_Oless(_u1099, _u1100, c_Groups_Ozero__class_Ozero(_u1099)) | c_Orderings_Oord__class_Oless(_u1099, c_Groups_Ozero__class_Ozero(_u1099), c_Groups_Ouminus__class_Ouminus(_u1099, _u1100)) )).
% 15.12/15.31 cnf(matrix-655, plain, ( ~class_Groups_Ogroup__add(_u1101) | ( c_Groups_Oplus__class_Oplus(_u1101, _u1102, _u1103) != c_Groups_Ozero__class_Ozero(_u1101)) | ( c_Groups_Ouminus__class_Ouminus(_u1101, _u1102) = _u1103) )).
% 15.12/15.31 cnf(matrix-656, plain, ( ~class_Groups_Oab__group__add(_u1104) | ( c_Groups_Oplus__class_Oplus(_u1104, c_Groups_Ouminus__class_Ouminus(_u1104, _u1105), _u1105) = c_Groups_Ozero__class_Ozero(_u1104)) )).
% 15.12/15.31 cnf(matrix-657, plain, ( ~class_Groups_Ogroup__add(_u1106) | ( c_Groups_Oplus__class_Oplus(_u1106, c_Groups_Ouminus__class_Ouminus(_u1106, _u1107), _u1107) = c_Groups_Ozero__class_Ozero(_u1106)) )).
% 15.12/15.31 cnf(matrix-658, plain, ( ~class_Groups_Ogroup__add(_u1108) | ( _u1109 != c_Groups_Ouminus__class_Ouminus(_u1108, _u1110)) | ( c_Groups_Oplus__class_Oplus(_u1108, _u1109, _u1110) = c_Groups_Ozero__class_Ozero(_u1108)) )).
% 15.12/15.31 cnf(matrix-659, plain, ( ~class_Groups_Ogroup__add(_u1108) | ( c_Groups_Oplus__class_Oplus(_u1108, _u1109, _u1110) != c_Groups_Ozero__class_Ozero(_u1108)) | ( _u1109 = c_Groups_Ouminus__class_Ouminus(_u1108, _u1110)) )).
% 15.12/15.31 cnf(matrix-660, plain, ( ~class_Groups_Ogroup__add(_u1111) | ( c_Groups_Oplus__class_Oplus(_u1111, _u1112, c_Groups_Ouminus__class_Ouminus(_u1111, _u1112)) = c_Groups_Ozero__class_Ozero(_u1111)) )).
% 15.12/15.31 cnf(matrix-661, plain, ( ~class_Rings_Olinordered__idom(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ouminus__class_Ouminus(_u1113, _u1114)) | c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ozero__class_Ozero(_u1113)) )).
% 15.12/15.31 cnf(matrix-662, plain, ( ~class_Rings_Olinordered__idom(_u1113) | ~c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ozero__class_Ozero(_u1113)) | c_Orderings_Oord__class_Oless(_u1113, _u1114, c_Groups_Ouminus__class_Ouminus(_u1113, _u1114)) )).
% 15.12/15.31 cnf(matrix-663, plain, ( ~class_RealVector_Oreal__algebra__1(_u1115) | ( c_RealVector_Oof__real(_u1115, _u1116) != c_Groups_Ozero__class_Ozero(_u1115)) | ( _u1116 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-664, plain, ( ~class_RealVector_Oreal__algebra__1(_u1115) | ( _u1116 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1115, _u1116) = c_Groups_Ozero__class_Ozero(_u1115)) )).
% 15.12/15.31 cnf(matrix-665, plain, ( ~class_RealVector_Oreal__algebra__1(_u1117) | ~class_RealVector_Oreal__normed__vector(_u1117) | ( c_RealVector_Oof__real(_u1117, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1117)) )).
% 15.12/15.31 cnf(matrix-666, plain, ( ~class_RealVector_Oreal__algebra__1(_u1118) | ( c_RealVector_Oof__real(_u1118, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(_u1118)) )).
% 15.12/15.31 cnf(matrix-667, plain, ( ~class_Groups_Ogroup__add(_u1119) | ( c_Groups_Oplus__class_Oplus(_u1119, _u1120, _u1121) != c_Groups_Ozero__class_Ozero(_u1119)) | ( _u1121 = c_Groups_Ouminus__class_Ouminus(_u1119, _u1120)) )).
% 15.12/15.31 cnf(matrix-668, plain, ( ~class_Groups_Ogroup__add(_u1119) | ( _u1121 != c_Groups_Ouminus__class_Ouminus(_u1119, _u1120)) | ( c_Groups_Oplus__class_Oplus(_u1119, _u1120, _u1121) = c_Groups_Ozero__class_Ozero(_u1119)) )).
% 15.12/15.31 cnf(matrix-669, plain, ( ~class_Rings_Oring(_u1122) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1123), _u1124), _u1125) != c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1126), _u1124), _u1127)) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), c_Groups_Ominus__class_Ominus(_u1122, _u1123, _u1126)), _u1124), _u1125) = _u1127) )).
% 15.12/15.31 cnf(matrix-670, plain, ( ~class_Rings_Oring(_u1122) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), c_Groups_Ominus__class_Ominus(_u1122, _u1123, _u1126)), _u1124), _u1125) != _u1127) | ( c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1123), _u1124), _u1125) = c_Groups_Oplus__class_Oplus(_u1122, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1122), _u1126), _u1124), _u1127)) )).
% 15.12/15.31 cnf(matrix-671, plain, ( ~class_Rings_Oring(_u1128) | ( c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1129), _u1130), _u1131) != c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1132), _u1130), _u1133)) | ( _u1131 = c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), c_Groups_Ominus__class_Ominus(_u1128, _u1132, _u1129)), _u1130), _u1133)) )).
% 15.12/15.31 cnf(matrix-672, plain, ( ~class_Rings_Oring(_u1128) | ( _u1131 != c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), c_Groups_Ominus__class_Ominus(_u1128, _u1132, _u1129)), _u1130), _u1133)) | ( c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1129), _u1130), _u1131) = c_Groups_Oplus__class_Oplus(_u1128, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1128), _u1132), _u1130), _u1133)) )).
% 15.12/15.31 cnf(matrix-673, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1134) | ( c_Groups_Ominus__class_Ominus(_u1134, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1135), _u1136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1137), _u1138)) = c_Groups_Oplus__class_Oplus(_u1134, c_Groups_Oplus__class_Oplus(_u1134, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), c_Groups_Ominus__class_Ominus(_u1134, _u1135, _u1137)), c_Groups_Ominus__class_Ominus(_u1134, _u1136, _u1138)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), c_Groups_Ominus__class_Ominus(_u1134, _u1135, _u1137)), _u1138)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1134), _u1137), c_Groups_Ominus__class_Ominus(_u1134, _u1136, _u1138)))) )).
% 15.12/15.31 cnf(matrix-674, plain, ( ~class_Rings_Oring(_u1139) | ( c_Groups_Ominus__class_Ominus(_u1139, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1140), _u1141), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1142), _u1143)) = c_Groups_Oplus__class_Oplus(_u1139, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), _u1140), c_Groups_Ominus__class_Ominus(_u1139, _u1141, _u1143)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1139), c_Groups_Ominus__class_Ominus(_u1139, _u1140, _u1142)), _u1143))) )).
% 15.12/15.31 cnf(matrix-675, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) != c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 = c_Groups_Ouminus__class_Ouminus(_u1144, c_Groups_Oone__class_Oone(_u1144))) )).
% 15.12/15.31 cnf(matrix-676, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 != c_Groups_Oone__class_Oone(_u1144)) )).
% 15.12/15.31 cnf(matrix-677, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1144) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1144), _u1145), _u1145) = c_Groups_Oone__class_Oone(_u1144)) | ( _u1145 != c_Groups_Ouminus__class_Ouminus(_u1144, c_Groups_Oone__class_Oone(_u1144))) )).
% 15.12/15.31 cnf(matrix-678, plain, ( ~class_RealVector_Oreal__algebra__1(_u1146) | ( c_RealVector_Oof__real(_u1146, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1147), _u1148)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1146), c_RealVector_Oof__real(_u1146, _u1147)), c_RealVector_Oof__real(_u1146, _u1148))) )).
% 15.12/15.31 cnf(matrix-679, plain, ( ~class_RealVector_Oreal__algebra__1(_u1149) | ~class_RealVector_Oreal__normed__vector(_u1149) | ( c_RealVector_Oof__real(_u1149, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1150, _u1151)) = c_Groups_Oplus__class_Oplus(_u1149, c_RealVector_Oof__real(_u1149, _u1150), c_RealVector_Oof__real(_u1149, _u1151))) )).
% 15.12/15.31 cnf(matrix-680, plain, ( ~class_RealVector_Oreal__algebra__1(_u1152) | ( c_RealVector_Oof__real(_u1152, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1153, _u1154)) = c_Groups_Oplus__class_Oplus(_u1152, c_RealVector_Oof__real(_u1152, _u1153), c_RealVector_Oof__real(_u1152, _u1154))) )).
% 15.12/15.31 cnf(matrix-681, plain, ( ~class_RealVector_Oreal__algebra__1(_u1155) | ( c_RealVector_Oof__real(_u1155, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(_u1155)) )).
% 15.12/15.31 cnf(matrix-682, plain, ( ~class_Rings_Odivision__ring(_u1156) | ( _u1157 = c_Groups_Ozero__class_Ozero(_u1156)) | ( c_Rings_Oinverse__class_Oinverse(_u1156, c_Groups_Ouminus__class_Ouminus(_u1156, _u1157)) = c_Groups_Ouminus__class_Ouminus(_u1156, c_Rings_Oinverse__class_Oinverse(_u1156, _u1157))) )).
% 15.12/15.31 cnf(matrix-683, plain, ( ~class_RealVector_Oreal__algebra__1(_u1158) | ( c_RealVector_Oof__real(_u1158, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1159), _u1160)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1158), c_RealVector_Oof__real(_u1158, _u1159)), _u1160)) )).
% 15.12/15.31 cnf(matrix-684, plain, ( ~class_RealVector_Oreal__div__algebra(_u1161) | ~class_Rings_Odivision__ring__inverse__zero(_u1161) | ( c_RealVector_Oof__real(_u1161, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1162)) = c_Rings_Oinverse__class_Oinverse(_u1161, c_RealVector_Oof__real(_u1161, _u1162))) )).
% 15.12/15.31 cnf(matrix-685, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_RealVector_Oof__real(tc_Complex_Ocomplex, _u1163)), _u1164) = c_RealVector_Oof__real(tc_Complex_Ocomplex, hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u1163), _u1164))) )).
% 15.12/15.31 cnf(matrix-686, plain, ( ~class_Rings_Oordered__ring(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1166), _u1167), _u1168), c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1169), _u1167), _u1170)) | c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), c_Groups_Ominus__class_Ominus(_u1165, _u1166, _u1169)), _u1167), _u1168), _u1170) )).
% 15.12/15.31 cnf(matrix-687, plain, ( ~class_Rings_Oordered__ring(_u1165) | ~c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), c_Groups_Ominus__class_Ominus(_u1165, _u1166, _u1169)), _u1167), _u1168), _u1170) | c_Orderings_Oord__class_Oless__eq(_u1165, c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1166), _u1167), _u1168), c_Groups_Oplus__class_Oplus(_u1165, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1165), _u1169), _u1167), _u1170)) )).
% 15.12/15.31 cnf(matrix-688, plain, ( ~class_Rings_Oordered__ring(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1172), _u1173), _u1174), c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1175), _u1173), _u1176)) | c_Orderings_Oord__class_Oless__eq(_u1171, _u1174, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), c_Groups_Ominus__class_Ominus(_u1171, _u1175, _u1172)), _u1173), _u1176)) )).
% 15.12/15.31 cnf(matrix-689, plain, ( ~class_Rings_Oordered__ring(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, _u1174, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), c_Groups_Ominus__class_Ominus(_u1171, _u1175, _u1172)), _u1173), _u1176)) | c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1172), _u1173), _u1174), c_Groups_Oplus__class_Oplus(_u1171, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1171), _u1175), _u1173), _u1176)) )).
% 15.12/15.31 cnf(matrix-690, plain, ( ~class_Rings_Oordered__ring(_u1177) | ~c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1178), _u1179), _u1180), c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1181), _u1179), _u1182)) | c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), c_Groups_Ominus__class_Ominus(_u1177, _u1178, _u1181)), _u1179), _u1180), _u1182) )).
% 15.12/15.31 cnf(matrix-691, plain, ( ~class_Rings_Oordered__ring(_u1177) | ~c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), c_Groups_Ominus__class_Ominus(_u1177, _u1178, _u1181)), _u1179), _u1180), _u1182) | c_Orderings_Oord__class_Oless(_u1177, c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1178), _u1179), _u1180), c_Groups_Oplus__class_Oplus(_u1177, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1177), _u1181), _u1179), _u1182)) )).
% 15.12/15.31 cnf(matrix-692, plain, ( ~class_Rings_Oordered__ring(_u1183) | ~c_Orderings_Oord__class_Oless(_u1183, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1184), _u1185), _u1186), c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1187), _u1185), _u1188)) | c_Orderings_Oord__class_Oless(_u1183, _u1186, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), c_Groups_Ominus__class_Ominus(_u1183, _u1187, _u1184)), _u1185), _u1188)) )).
% 15.12/15.31 cnf(matrix-693, plain, ( ~class_Rings_Oordered__ring(_u1183) | ~c_Orderings_Oord__class_Oless(_u1183, _u1186, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), c_Groups_Ominus__class_Ominus(_u1183, _u1187, _u1184)), _u1185), _u1188)) | c_Orderings_Oord__class_Oless(_u1183, c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1184), _u1185), _u1186), c_Groups_Oplus__class_Oplus(_u1183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1183), _u1187), _u1185), _u1188)) )).
% 15.12/15.31 cnf(matrix-694, plain, ( ~class_Rings_Oring__1(_u1189) | ( c_Groups_Ominus__class_Ominus(_u1189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1189), _u1190), _u1190), c_Groups_Oone__class_Oone(_u1189)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1189), c_Groups_Oplus__class_Oplus(_u1189, _u1190, c_Groups_Oone__class_Oone(_u1189))), c_Groups_Ominus__class_Ominus(_u1189, _u1190, c_Groups_Oone__class_Oone(_u1189)))) )).
% 15.12/15.31 cnf(matrix-695, plain, ( ~class_Rings_Odivision__ring(_u1191) | ( _u1192 = c_Groups_Ozero__class_Ozero(_u1191)) | ( _u1193 = c_Groups_Ozero__class_Ozero(_u1191)) | ( c_Groups_Ominus__class_Ominus(_u1191, c_Rings_Oinverse__class_Oinverse(_u1191, _u1192), c_Rings_Oinverse__class_Oinverse(_u1191, _u1193)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1191), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1191), c_Rings_Oinverse__class_Oinverse(_u1191, _u1192)), c_Groups_Ominus__class_Ominus(_u1191, _u1193, _u1192))), c_Rings_Oinverse__class_Oinverse(_u1191, _u1193))) )).
% 15.12/15.31 cnf(matrix-696, plain, ( ~class_Rings_Oring__1(_u1194) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), c_Groups_Ouminus__class_Ouminus(_u1194, _u1195)), _u1196) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1194), hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), c_Groups_Ouminus__class_Ouminus(_u1194, c_Groups_Oone__class_Oone(_u1194))), _u1196)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1194), _u1195), _u1196))) )).
% 15.12/15.31 cnf(matrix-697, plain, ( ~class_RealVector_Oreal__normed__vector(_u1197) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1197, c_Groups_Ominus__class_Ominus(_u1197, _u1198, _u1199)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1197, _u1198), c_RealVector_Onorm__class_Onorm(_u1197, _u1199))) )).
% 15.12/15.31 cnf(matrix-698, plain, ( ~class_RealVector_Oreal__div__algebra(_u1200) | ( _u1201 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RealVector_Oof__real(_u1200, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1201)) = c_Rings_Oinverse__class_Oinverse(_u1200, c_RealVector_Oof__real(_u1200, _u1201))) )).
% 15.12/15.31 cnf(matrix-699, plain, ( ~class_Groups_Ozero(_u1202) | ( c_Groups_Ozero__class_Ozero(_u1202) != _u1203) | ( _u1203 = c_Groups_Ozero__class_Ozero(_u1202)) )).
% 15.12/15.31 cnf(matrix-700, plain, ( ~class_Groups_Ozero(_u1202) | ( _u1203 != c_Groups_Ozero__class_Ozero(_u1202)) | ( c_Groups_Ozero__class_Ozero(_u1202) = _u1203) )).
% 15.12/15.31 cnf(matrix-701, plain, ( ~class_Groups_Oab__semigroup__mult(_u1204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1205), _u1206)), _u1207) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1204), _u1206), _u1207))) )).
% 15.12/15.31 cnf(matrix-702, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1208) | ( c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210) != c_Groups_Oplus__class_Oplus(_u1208, _u1211, _u1210)) | ( _u1209 = _u1211) )).
% 15.12/15.31 cnf(matrix-703, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u1212) | ( c_Groups_Oplus__class_Oplus(_u1212, _u1213, _u1214) != c_Groups_Oplus__class_Oplus(_u1212, _u1213, _u1215)) | ( _u1214 = _u1215) )).
% 15.12/15.31 cnf(matrix-704, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1216) | ( c_Groups_Oplus__class_Oplus(_u1216, _u1217, _u1218) != c_Groups_Oplus__class_Oplus(_u1216, _u1217, _u1219)) | ( _u1218 = _u1219) )).
% 15.12/15.31 cnf(matrix-705, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1220) | ( c_Groups_Oplus__class_Oplus(_u1220, _u1221, _u1222) != c_Groups_Oplus__class_Oplus(_u1220, _u1223, _u1222)) | ( _u1221 = _u1223) )).
% 15.12/15.31 cnf(matrix-706, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1220) | ( _u1221 != _u1223) | ( c_Groups_Oplus__class_Oplus(_u1220, _u1221, _u1222) = c_Groups_Oplus__class_Oplus(_u1220, _u1223, _u1222)) )).
% 15.12/15.31 cnf(matrix-707, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1224) | ( c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1226) != c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1227)) | ( _u1226 = _u1227) )).
% 15.12/15.31 cnf(matrix-708, plain, ( ~class_Groups_Ocancel__semigroup__add(_u1224) | ( _u1226 != _u1227) | ( c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1226) = c_Groups_Oplus__class_Oplus(_u1224, _u1225, _u1227)) )).
% 15.12/15.31 cnf(matrix-709, plain, ( ~class_Groups_Oab__semigroup__add(_u1228) | ( c_Groups_Oplus__class_Oplus(_u1228, c_Groups_Oplus__class_Oplus(_u1228, _u1229, _u1230), _u1231) = c_Groups_Oplus__class_Oplus(_u1228, _u1229, c_Groups_Oplus__class_Oplus(_u1228, _u1230, _u1231))) )).
% 15.12/15.31 cnf(matrix-710, plain, ( ~class_Groups_Oone(_u1232) | ( c_Groups_Oone__class_Oone(_u1232) != _u1233) | ( _u1233 = c_Groups_Oone__class_Oone(_u1232)) )).
% 15.12/15.31 cnf(matrix-711, plain, ( ~class_Groups_Oone(_u1232) | ( _u1233 != c_Groups_Oone__class_Oone(_u1232)) | ( c_Groups_Oone__class_Oone(_u1232) = _u1233) )).
% 15.12/15.31 cnf(matrix-712, plain, ( ~class_RealVector_Oreal__normed__vector(_u1234) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, c_Groups_Oplus__class_Oplus(_u1234, _u1235, _u1236), c_Groups_Oplus__class_Oplus(_u1234, _u1237, _u1238))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, _u1235, _u1237)), c_RealVector_Onorm__class_Onorm(_u1234, c_Groups_Ominus__class_Ominus(_u1234, _u1236, _u1238)))) )).
% 15.12/15.31 cnf(matrix-713, plain, ( ~class_Groups_Ocomm__monoid__add(_u1239) | ( c_Groups_Oplus__class_Oplus(_u1239, _u1240, c_Groups_Ozero__class_Ozero(_u1239)) = _u1240) )).
% 15.12/15.31 cnf(matrix-714, plain, ( ~class_Groups_Omonoid__add(_u1241) | ( c_Groups_Oplus__class_Oplus(_u1241, _u1242, c_Groups_Ozero__class_Ozero(_u1241)) = _u1242) )).
% 15.12/15.31 cnf(matrix-715, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1243) | ( c_Groups_Ozero__class_Ozero(_u1243) != c_Groups_Oplus__class_Oplus(_u1243, _u1244, _u1244)) | ( _u1244 = c_Groups_Ozero__class_Ozero(_u1243)) )).
% 15.12/15.31 cnf(matrix-716, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1243) | ( _u1244 != c_Groups_Ozero__class_Ozero(_u1243)) | ( c_Groups_Ozero__class_Ozero(_u1243) = c_Groups_Oplus__class_Oplus(_u1243, _u1244, _u1244)) )).
% 15.12/15.31 cnf(matrix-717, plain, ( ~class_Groups_Ocomm__monoid__add(_u1245) | ( c_Groups_Oplus__class_Oplus(_u1245, c_Groups_Ozero__class_Ozero(_u1245), _u1246) = _u1246) )).
% 15.12/15.31 cnf(matrix-718, plain, ( ~class_Groups_Omonoid__add(_u1247) | ( c_Groups_Oplus__class_Oplus(_u1247, c_Groups_Ozero__class_Ozero(_u1247), _u1248) = _u1248) )).
% 15.12/15.31 cnf(matrix-719, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1249) | ~c_Orderings_Oord__class_Oless__eq(_u1249, c_Groups_Oplus__class_Oplus(_u1249, _u1250, _u1251), c_Groups_Oplus__class_Oplus(_u1249, _u1250, _u1252)) | c_Orderings_Oord__class_Oless__eq(_u1249, _u1251, _u1252) )).
% 15.12/15.31 cnf(matrix-720, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1253, c_Groups_Oplus__class_Oplus(_u1253, _u1254, _u1255), c_Groups_Oplus__class_Oplus(_u1253, _u1256, _u1255)) | c_Orderings_Oord__class_Oless__eq(_u1253, _u1254, _u1256) )).
% 15.12/15.31 cnf(matrix-721, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1257, _u1258, _u1259) | ~c_Orderings_Oord__class_Oless__eq(_u1257, _u1260, _u1261) | c_Orderings_Oord__class_Oless__eq(_u1257, c_Groups_Oplus__class_Oplus(_u1257, _u1258, _u1260), c_Groups_Oplus__class_Oplus(_u1257, _u1259, _u1261)) )).
% 15.12/15.31 cnf(matrix-722, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1262, _u1263, _u1264) | c_Orderings_Oord__class_Oless__eq(_u1262, c_Groups_Oplus__class_Oplus(_u1262, _u1265, _u1263), c_Groups_Oplus__class_Oplus(_u1262, _u1265, _u1264)) )).
% 15.12/15.31 cnf(matrix-723, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1266, _u1267, _u1268) | c_Orderings_Oord__class_Oless__eq(_u1266, c_Groups_Oplus__class_Oplus(_u1266, _u1267, _u1269), c_Groups_Oplus__class_Oplus(_u1266, _u1268, _u1269)) )).
% 15.12/15.31 cnf(matrix-724, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1270) | ~c_Orderings_Oord__class_Oless__eq(_u1270, c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1272), c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1273)) | c_Orderings_Oord__class_Oless__eq(_u1270, _u1272, _u1273) )).
% 15.12/15.31 cnf(matrix-725, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1270) | ~c_Orderings_Oord__class_Oless__eq(_u1270, _u1272, _u1273) | c_Orderings_Oord__class_Oless__eq(_u1270, c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1272), c_Groups_Oplus__class_Oplus(_u1270, _u1271, _u1273)) )).
% 15.12/15.31 cnf(matrix-726, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1274) | ~c_Orderings_Oord__class_Oless__eq(_u1274, c_Groups_Oplus__class_Oplus(_u1274, _u1275, _u1276), c_Groups_Oplus__class_Oplus(_u1274, _u1277, _u1276)) | c_Orderings_Oord__class_Oless__eq(_u1274, _u1275, _u1277) )).
% 15.12/15.31 cnf(matrix-727, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1274) | ~c_Orderings_Oord__class_Oless__eq(_u1274, _u1275, _u1277) | c_Orderings_Oord__class_Oless__eq(_u1274, c_Groups_Oplus__class_Oplus(_u1274, _u1275, _u1276), c_Groups_Oplus__class_Oplus(_u1274, _u1277, _u1276)) )).
% 15.12/15.31 cnf(matrix-728, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1278) | ~c_Orderings_Oord__class_Oless(_u1278, c_Groups_Oplus__class_Oplus(_u1278, _u1279, _u1280), c_Groups_Oplus__class_Oplus(_u1278, _u1279, _u1281)) | c_Orderings_Oord__class_Oless(_u1278, _u1280, _u1281) )).
% 15.12/15.31 cnf(matrix-729, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1282) | ~c_Orderings_Oord__class_Oless(_u1282, c_Groups_Oplus__class_Oplus(_u1282, _u1283, _u1284), c_Groups_Oplus__class_Oplus(_u1282, _u1285, _u1284)) | c_Orderings_Oord__class_Oless(_u1282, _u1283, _u1285) )).
% 15.12/15.31 cnf(matrix-730, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1286) | ~c_Orderings_Oord__class_Oless(_u1286, _u1287, _u1288) | ~c_Orderings_Oord__class_Oless(_u1286, _u1289, _u1290) | c_Orderings_Oord__class_Oless(_u1286, c_Groups_Oplus__class_Oplus(_u1286, _u1287, _u1289), c_Groups_Oplus__class_Oplus(_u1286, _u1288, _u1290)) )).
% 15.12/15.31 cnf(matrix-731, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1291) | ~c_Orderings_Oord__class_Oless(_u1291, _u1292, _u1293) | c_Orderings_Oord__class_Oless(_u1291, c_Groups_Oplus__class_Oplus(_u1291, _u1294, _u1292), c_Groups_Oplus__class_Oplus(_u1291, _u1294, _u1293)) )).
% 15.12/15.31 cnf(matrix-732, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1295) | ~c_Orderings_Oord__class_Oless(_u1295, _u1296, _u1297) | c_Orderings_Oord__class_Oless(_u1295, c_Groups_Oplus__class_Oplus(_u1295, _u1296, _u1298), c_Groups_Oplus__class_Oplus(_u1295, _u1297, _u1298)) )).
% 15.12/15.31 cnf(matrix-733, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1299) | ~c_Orderings_Oord__class_Oless(_u1299, c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1301), c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1302)) | c_Orderings_Oord__class_Oless(_u1299, _u1301, _u1302) )).
% 15.12/15.31 cnf(matrix-734, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1299) | ~c_Orderings_Oord__class_Oless(_u1299, _u1301, _u1302) | c_Orderings_Oord__class_Oless(_u1299, c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1301), c_Groups_Oplus__class_Oplus(_u1299, _u1300, _u1302)) )).
% 15.12/15.31 cnf(matrix-735, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1303) | ~c_Orderings_Oord__class_Oless(_u1303, c_Groups_Oplus__class_Oplus(_u1303, _u1304, _u1305), c_Groups_Oplus__class_Oplus(_u1303, _u1306, _u1305)) | c_Orderings_Oord__class_Oless(_u1303, _u1304, _u1306) )).
% 15.12/15.31 cnf(matrix-736, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u1303) | ~c_Orderings_Oord__class_Oless(_u1303, _u1304, _u1306) | c_Orderings_Oord__class_Oless(_u1303, c_Groups_Oplus__class_Oplus(_u1303, _u1304, _u1305), c_Groups_Oplus__class_Oplus(_u1303, _u1306, _u1305)) )).
% 15.12/15.31 cnf(matrix-737, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1307) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1307), _u1308), c_Groups_Oone__class_Oone(_u1307)) = _u1308) )).
% 15.12/15.31 cnf(matrix-738, plain, ( ~class_Groups_Omonoid__mult(_u1309) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1309), _u1310), c_Groups_Oone__class_Oone(_u1309)) = _u1310) )).
% 15.12/15.31 cnf(matrix-739, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1311) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1311), c_Groups_Oone__class_Oone(_u1311)), _u1312) = _u1312) )).
% 15.12/15.31 cnf(matrix-740, plain, ( ~class_Groups_Omonoid__mult(_u1313) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1313), c_Groups_Oone__class_Oone(_u1313)), _u1314) = _u1314) )).
% 15.12/15.31 cnf(matrix-741, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1318), _u1320) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1318), _u1322)) | ( _u1318 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1320 = _u1322) )).
% 15.12/15.31 cnf(matrix-742, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1321) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1323)) | ( _u1319 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-743, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1321) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1319), _u1323)) | ( _u1321 != _u1323) )).
% 15.12/15.31 cnf(matrix-744, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1324), _u1325), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1326), _u1325), _u1327)) = 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, _u1324, _u1326)), _u1325), _u1327)) )).
% 15.12/15.31 cnf(matrix-745, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1328) | ~c_Orderings_Oord__class_Oless__eq(_u1328, _u1329, c_Groups_Ozero__class_Ozero(_u1328)) | ~c_Orderings_Oord__class_Oless__eq(_u1328, _u1330, c_Groups_Ozero__class_Ozero(_u1328)) | c_Orderings_Oord__class_Oless__eq(_u1328, c_Groups_Oplus__class_Oplus(_u1328, _u1329, _u1330), c_Groups_Ozero__class_Ozero(_u1328)) )).
% 15.12/15.31 cnf(matrix-746, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1331) | ~c_Orderings_Oord__class_Oless__eq(_u1331, c_Groups_Ozero__class_Ozero(_u1331), _u1332) | ~c_Orderings_Oord__class_Oless__eq(_u1331, _u1333, _u1334) | c_Orderings_Oord__class_Oless__eq(_u1331, _u1333, c_Groups_Oplus__class_Oplus(_u1331, _u1334, _u1332)) )).
% 15.12/15.31 cnf(matrix-747, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1335) | ~c_Orderings_Oord__class_Oless__eq(_u1335, c_Groups_Ozero__class_Ozero(_u1335), _u1336) | ~c_Orderings_Oord__class_Oless__eq(_u1335, _u1337, _u1338) | c_Orderings_Oord__class_Oless__eq(_u1335, _u1337, c_Groups_Oplus__class_Oplus(_u1335, _u1336, _u1338)) )).
% 15.12/15.31 cnf(matrix-748, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1340 = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.31 cnf(matrix-749, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1341 = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.31 cnf(matrix-750, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1339) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1340) | ~c_Orderings_Oord__class_Oless__eq(_u1339, c_Groups_Ozero__class_Ozero(_u1339), _u1341) | ( _u1340 != c_Groups_Ozero__class_Ozero(_u1339)) | ( _u1341 != c_Groups_Ozero__class_Ozero(_u1339)) | ( c_Groups_Oplus__class_Oplus(_u1339, _u1340, _u1341) = c_Groups_Ozero__class_Ozero(_u1339)) )).
% 15.12/15.31 cnf(matrix-751, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1342) | ~c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), _u1343) | ~c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), _u1344) | c_Orderings_Oord__class_Oless__eq(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Groups_Oplus__class_Oplus(_u1342, _u1343, _u1344)) )).
% 15.12/15.31 cnf(matrix-752, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1345) | ~c_Orderings_Oord__class_Oless__eq(_u1345, c_Groups_Oplus__class_Oplus(_u1345, _u1346, _u1346), c_Groups_Ozero__class_Ozero(_u1345)) | c_Orderings_Oord__class_Oless__eq(_u1345, _u1346, c_Groups_Ozero__class_Ozero(_u1345)) )).
% 15.12/15.31 cnf(matrix-753, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1345) | ~c_Orderings_Oord__class_Oless__eq(_u1345, _u1346, c_Groups_Ozero__class_Ozero(_u1345)) | c_Orderings_Oord__class_Oless__eq(_u1345, c_Groups_Oplus__class_Oplus(_u1345, _u1346, _u1346), c_Groups_Ozero__class_Ozero(_u1345)) )).
% 15.12/15.31 cnf(matrix-754, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1347) | ~c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), c_Groups_Oplus__class_Oplus(_u1347, _u1348, _u1348)) | c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), _u1348) )).
% 15.12/15.31 cnf(matrix-755, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1347) | ~c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), _u1348) | c_Orderings_Oord__class_Oless__eq(_u1347, c_Groups_Ozero__class_Ozero(_u1347), c_Groups_Oplus__class_Oplus(_u1347, _u1348, _u1348)) )).
% 15.12/15.31 cnf(matrix-756, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1349) | ~c_Orderings_Oord__class_Oless(_u1349, _u1350, c_Groups_Ozero__class_Ozero(_u1349)) | ~c_Orderings_Oord__class_Oless(_u1349, _u1351, c_Groups_Ozero__class_Ozero(_u1349)) | c_Orderings_Oord__class_Oless(_u1349, c_Groups_Oplus__class_Oplus(_u1349, _u1350, _u1351), c_Groups_Ozero__class_Ozero(_u1349)) )).
% 15.12/15.31 cnf(matrix-757, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1352) | ~c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), _u1353) | ~c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), _u1354) | c_Orderings_Oord__class_Oless(_u1352, c_Groups_Ozero__class_Ozero(_u1352), c_Groups_Oplus__class_Oplus(_u1352, _u1353, _u1354)) )).
% 15.12/15.31 cnf(matrix-758, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1355) | ~c_Orderings_Oord__class_Oless(_u1355, c_Groups_Oplus__class_Oplus(_u1355, _u1356, _u1356), c_Groups_Ozero__class_Ozero(_u1355)) | c_Orderings_Oord__class_Oless(_u1355, _u1356, c_Groups_Ozero__class_Ozero(_u1355)) )).
% 15.12/15.31 cnf(matrix-759, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1355) | ~c_Orderings_Oord__class_Oless(_u1355, _u1356, c_Groups_Ozero__class_Ozero(_u1355)) | c_Orderings_Oord__class_Oless(_u1355, c_Groups_Oplus__class_Oplus(_u1355, _u1356, _u1356), c_Groups_Ozero__class_Ozero(_u1355)) )).
% 15.12/15.31 cnf(matrix-760, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1357) | ~c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), c_Groups_Oplus__class_Oplus(_u1357, _u1358, _u1358)) | c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), _u1358) )).
% 15.12/15.31 cnf(matrix-761, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1357) | ~c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), _u1358) | c_Orderings_Oord__class_Oless(_u1357, c_Groups_Ozero__class_Ozero(_u1357), c_Groups_Oplus__class_Oplus(_u1357, _u1358, _u1358)) )).
% 15.12/15.31 cnf(matrix-762, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1359) | ~c_Orderings_Oord__class_Oless__eq(_u1359, _u1360, _u1361) | ~c_Orderings_Oord__class_Oless(_u1359, _u1362, _u1363) | c_Orderings_Oord__class_Oless(_u1359, c_Groups_Oplus__class_Oplus(_u1359, _u1360, _u1362), c_Groups_Oplus__class_Oplus(_u1359, _u1361, _u1363)) )).
% 15.12/15.31 cnf(matrix-763, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1364) | ~c_Orderings_Oord__class_Oless(_u1364, _u1365, _u1366) | ~c_Orderings_Oord__class_Oless__eq(_u1364, _u1367, _u1368) | c_Orderings_Oord__class_Oless(_u1364, c_Groups_Oplus__class_Oplus(_u1364, _u1365, _u1367), c_Groups_Oplus__class_Oplus(_u1364, _u1366, _u1368)) )).
% 15.12/15.31 cnf(matrix-764, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1369) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1370) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1371)) | ( _u1370 = _u1371) )).
% 15.12/15.31 cnf(matrix-765, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1369) | ( _u1370 != _u1371) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1370) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1369), _u1371)) )).
% 15.12/15.31 cnf(matrix-766, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1374)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1373, _u1374) )).
% 15.12/15.31 cnf(matrix-767, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1373, _u1374) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1374)) )).
% 15.12/15.31 cnf(matrix-768, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1375) | ~c_Orderings_Oord__class_Oless__eq(_u1375, _u1376, c_Groups_Ozero__class_Ozero(_u1375)) | ~c_Orderings_Oord__class_Oless(_u1375, _u1377, c_Groups_Ozero__class_Ozero(_u1375)) | c_Orderings_Oord__class_Oless(_u1375, c_Groups_Oplus__class_Oplus(_u1375, _u1376, _u1377), c_Groups_Ozero__class_Ozero(_u1375)) )).
% 15.12/15.31 cnf(matrix-769, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1378) | ~c_Orderings_Oord__class_Oless(_u1378, _u1379, c_Groups_Ozero__class_Ozero(_u1378)) | ~c_Orderings_Oord__class_Oless__eq(_u1378, _u1380, c_Groups_Ozero__class_Ozero(_u1378)) | c_Orderings_Oord__class_Oless(_u1378, c_Groups_Oplus__class_Oplus(_u1378, _u1379, _u1380), c_Groups_Ozero__class_Ozero(_u1378)) )).
% 15.12/15.31 cnf(matrix-770, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1381) | ~c_Orderings_Oord__class_Oless__eq(_u1381, c_Groups_Ozero__class_Ozero(_u1381), _u1382) | ~c_Orderings_Oord__class_Oless(_u1381, _u1383, _u1384) | c_Orderings_Oord__class_Oless(_u1381, _u1383, c_Groups_Oplus__class_Oplus(_u1381, _u1382, _u1384)) )).
% 15.12/15.31 cnf(matrix-771, plain, ( ~class_Rings_Odivision__ring(_u1385) | ( _u1386 = c_Groups_Ozero__class_Ozero(_u1385)) | ( _u1387 = c_Groups_Ozero__class_Ozero(_u1385)) | ( c_Groups_Ominus__class_Ominus(_u1385, c_Rings_Oinverse__class_Oinverse(_u1385, _u1386), c_Rings_Oinverse__class_Oinverse(_u1385, _u1387)) = c_Groups_Ouminus__class_Ouminus(_u1385, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1385), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1385), c_Rings_Oinverse__class_Oinverse(_u1385, _u1386)), c_Groups_Ominus__class_Ominus(_u1385, _u1386, _u1387))), c_Rings_Oinverse__class_Oinverse(_u1385, _u1387)))) )).
% 15.12/15.31 cnf(matrix-772, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, _u1388, _u1389) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u1388, c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u1389))) )).
% 15.12/15.31 cnf(matrix-773, plain, ( ( _u1391 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u1392 = 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), _u1391), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem7(_u1392, _u1391)), _u1392)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-774, 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), _u1395), _u1397)) | ( _u1397 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1395) )).
% 15.12/15.31 cnf(matrix-775, 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), _u1396), _u1398)) | ( _u1398 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-776, 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), _u1396), _u1398)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1396) )).
% 15.12/15.31 cnf(matrix-777, 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), _u1400), _u1400)) | ( _u1400 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-778, plain, ( ( _u1401 != 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), _u1401), _u1401)) )).
% 15.12/15.31 cnf(matrix-779, plain, ( ~class_Rings_Ocomm__semiring__1(_u1402) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1402), hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), _u1404)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), _u1405)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1402), _u1403), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1404, _u1405))) )).
% 15.12/15.31 cnf(matrix-780, plain, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1406, _u1407) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1406, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1407))) )).
% 15.12/15.31 cnf(matrix-781, plain, ( ( c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1408, _u1409) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1408, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1409))) )).
% 15.12/15.31 cnf(matrix-782, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1410, _u1411) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1411, _u1410) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1410 = _u1411) )).
% 15.12/15.31 cnf(matrix-783, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1412, _u1412) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-784, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1413, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1413) )).
% 15.12/15.31 cnf(matrix-785, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1414) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-786, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1415, _u1416) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1415, _u1417) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1417, _u1416), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1417, _u1415)) )).
% 15.12/15.31 cnf(matrix-787, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1418, _u1419) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1418, _u1420), _u1419) )).
% 15.12/15.31 cnf(matrix-788, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1421, _u1422), _u1422) = _u1421) )).
% 15.12/15.31 cnf(matrix-789, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1423, _u1424), _u1423) = _u1424) )).
% 15.12/15.31 cnf(matrix-790, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, _u1426), _u1427) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1425, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1426, _u1427))) )).
% 15.12/15.31 cnf(matrix-791, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1428, _u1429), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1428, _u1430)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1429, _u1430)) )).
% 15.12/15.31 cnf(matrix-792, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1431, _u1432), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1433, _u1432)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1431, _u1433)) )).
% 15.12/15.31 cnf(matrix-793, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1434, _u1435), _u1434) )).
% 15.12/15.31 cnf(matrix-794, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1436, _u1437) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1438, _u1437), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1438, _u1436)) )).
% 15.12/15.31 cnf(matrix-795, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1439, _u1440) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1439, _u1441), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1440, _u1441)) )).
% 15.12/15.31 cnf(matrix-796, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1442, _u1443) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1443, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1443, _u1442)) = _u1442) )).
% 15.12/15.31 cnf(matrix-797, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1445) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1446) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1445, _u1444) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1444)) | ( _u1445 = _u1446) )).
% 15.12/15.31 cnf(matrix-798, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1445) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1444, _u1446) | ( _u1445 != _u1446) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1445, _u1444) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1446, _u1444)) )).
% 15.12/15.31 cnf(matrix-799, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, _u1448) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1447, _u1449) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1448, _u1447), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1449, _u1447)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1448, _u1449)) )).
% 15.12/15.31 cnf(matrix-800, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1451) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1452) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1451, _u1450), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1452, _u1450)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1451, _u1452) )).
% 15.12/15.31 cnf(matrix-801, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1451) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1450, _u1452) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1451, _u1452) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1451, _u1450), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1452, _u1450)) )).
% 15.12/15.31 cnf(matrix-802, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1454, _u1455)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), _u1454), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1453), _u1455))) )).
% 15.12/15.31 cnf(matrix-803, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1456, _u1457)), _u1458) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1456), _u1458), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1457), _u1458))) )).
% 15.12/15.31 cnf(matrix-804, 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, _u1459)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1459)) )).
% 15.12/15.31 cnf(matrix-805, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1462, _u1464) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1462, _u1464), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-806, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, _u1463, _u1465), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1463, _u1465) )).
% 15.12/15.31 cnf(matrix-807, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1466) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1467) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1467, _u1466), _u1467) )).
% 15.12/15.31 cnf(matrix-808, 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, _u1470, _u1472)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1472, _u1470) )).
% 15.12/15.31 cnf(matrix-809, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1473, _u1471) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1471, _u1473)) )).
% 15.12/15.31 cnf(matrix-810, 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), _u1474), _u1474)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1475), _u1475)) )).
% 15.12/15.31 cnf(matrix-811, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1476, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1476, _u1477)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-812, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1480, _u1482) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1480, _u1482) )).
% 15.12/15.31 cnf(matrix-813, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1481, _u1483) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1481, _u1483) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-814, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1484, _u1485) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1484, _u1485) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-815, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1486, _u1487) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1487, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1486, _u1487)) = _u1486) )).
% 15.12/15.31 cnf(matrix-816, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1491, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1493, _u1495)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1491, _u1495), _u1493) )).
% 15.12/15.31 cnf(matrix-817, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1492, _u1496), _u1494) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1492, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1494, _u1496)) )).
% 15.12/15.31 cnf(matrix-818, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1497, _u1498) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1499, _u1497) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1497, _u1499), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1498, _u1499)) )).
% 15.12/15.31 cnf(matrix-819, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1501) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1502) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1501, _u1500), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1502, _u1500)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1501, _u1502) )).
% 15.12/15.31 cnf(matrix-820, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1501) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1500, _u1502) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1501, _u1502) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1501, _u1500), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1502, _u1500)) )).
% 15.12/15.31 cnf(matrix-821, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1505, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1507)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1505 = _u1507) )).
% 15.12/15.31 cnf(matrix-822, plain, ( ( _u1506 != _u1508) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1506, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1508)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-823, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1511, _u1513) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1513 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1511)) )).
% 15.12/15.31 cnf(matrix-824, plain, ( ( _u1514 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1512)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1512, _u1514) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-825, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1515, _u1516) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1517, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1516, _u1515)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1517, _u1515), _u1516)) )).
% 15.12/15.31 cnf(matrix-826, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1521, _u1523), _u1525) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1521, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1525, _u1523)) )).
% 15.12/15.31 cnf(matrix-827, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1522, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1526, _u1524)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1522, _u1524), _u1526) )).
% 15.12/15.31 cnf(matrix-828, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1527, _u1528) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1529, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1528, _u1529), _u1527)) )).
% 15.12/15.31 cnf(matrix-829, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1530, _u1531) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1530, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1531, _u1530)) = _u1531) )).
% 15.12/15.31 cnf(matrix-830, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1532, _u1533) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1534, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1533, _u1532)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1534, _u1533), _u1532)) )).
% 15.12/15.31 cnf(matrix-831, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1535, _u1536) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1537, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1536, _u1535)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1537, _u1535), _u1536) )).
% 15.12/15.31 cnf(matrix-832, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1535, _u1536) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1537, _u1535), _u1536) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1537, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1536, _u1535)) )).
% 15.12/15.31 cnf(matrix-833, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1538, _u1539) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1539, _u1538), _u1538) = _u1539) )).
% 15.12/15.31 cnf(matrix-834, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1540, _u1541) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1540) != _u1542) | ( _u1541 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1542, _u1540)) )).
% 15.12/15.31 cnf(matrix-835, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1540, _u1541) | ( _u1541 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1542, _u1540)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1541, _u1540) = _u1542) )).
% 15.12/15.31 cnf(matrix-836, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1543, _u1544) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1545, _u1544), _u1543) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1545, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1544, _u1543))) )).
% 15.12/15.31 cnf(matrix-837, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1546, _u1547) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1547, _u1546), _u1548) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1547, _u1548), _u1546)) )).
% 15.12/15.31 cnf(matrix-838, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1549, _u1550) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1550, _u1551), _u1549) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1550, _u1549), _u1551)) )).
% 15.12/15.31 cnf(matrix-839, 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, _u1552, _u1553)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1552)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1553)) )).
% 15.12/15.31 cnf(matrix-840, plain, ( ~class_RealVector_Oreal__normed__vector(_u1554) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1554, _u1555), c_RealVector_Onorm__class_Onorm(_u1554, _u1556)), c_RealVector_Onorm__class_Onorm(_u1554, c_Groups_Oplus__class_Oplus(_u1554, _u1555, _u1556))) )).
% 15.12/15.31 cnf(matrix-841, plain, ( ~hBOOL(hAPP(_u1562, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1564, _u1566))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1564, _u1566) | hBOOL(hAPP(_u1562, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.12/15.31 cnf(matrix-842, plain, ( ~hBOOL(hAPP(_u1562, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1564, _u1566))) | ( _u1564 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1566, _u1557)) | hBOOL(hAPP(_u1562, _u1557)) )).
% 15.12/15.31 cnf(matrix-843, plain, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1565, _u1567) | ( _u1565 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1567, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.31 cnf(matrix-844, plain, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1565, _u1567) | ~hBOOL(hAPP(_u1563, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.31 cnf(matrix-845, plain, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | ~hBOOL(hAPP(_u1563, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1565 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1567, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.31 cnf(matrix-846, plain, ( hBOOL(hAPP(_u1563, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1565, _u1567))) | ~hBOOL(hAPP(_u1563, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1563, skolem8(_u1567, _u1565, _u1563))) )).
% 15.12/15.31 cnf(matrix-847, plain, ( ~hBOOL(hAPP(_u1573, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1577))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1575, _u1577) | hBOOL(hAPP(_u1573, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 15.12/15.31 cnf(matrix-848, plain, ( ~hBOOL(hAPP(_u1573, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1575, _u1577))) | ( _u1575 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1577, _u1568)) | hBOOL(hAPP(_u1573, _u1568)) )).
% 15.12/15.31 cnf(matrix-849, plain, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1576, _u1578) | ( _u1576 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1578, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.31 cnf(matrix-850, plain, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1576, _u1578) | ~hBOOL(hAPP(_u1574, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.31 cnf(matrix-851, plain, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | ~hBOOL(hAPP(_u1574, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1576 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1578, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.31 cnf(matrix-852, plain, ( hBOOL(hAPP(_u1574, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1576, _u1578))) | ~hBOOL(hAPP(_u1574, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1574, skolem9(_u1578, _u1576, _u1574))) )).
% 15.12/15.31 cnf(matrix-853, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1581, _u1583), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1583, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1581)) )).
% 15.12/15.31 cnf(matrix-854, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1584, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1582)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1582, _u1584), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-855, 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, _u1587, _u1589)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1587), _u1589) )).
% 15.12/15.31 cnf(matrix-856, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1588), _u1590) | 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, _u1588, _u1590)) )).
% 15.12/15.31 cnf(matrix-857, 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, _u1593, _u1595)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1593), _u1595) )).
% 15.12/15.31 cnf(matrix-858, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1594), _u1596) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1594, _u1596)) )).
% 15.12/15.31 cnf(matrix-859, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1599, _u1601), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1601, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1599)) )).
% 15.12/15.31 cnf(matrix-860, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1602, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1600)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1600, _u1602), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-861, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1603, _u1604) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1603), _u1605), _u1606) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1604), _u1605), _u1607)) | ( _u1606 = 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, _u1604, _u1603)), _u1605), _u1607)) )).
% 15.12/15.31 cnf(matrix-862, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1603, _u1604) | ( _u1606 != 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, _u1604, _u1603)), _u1605), _u1607)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1603), _u1605), _u1606) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1604), _u1605), _u1607)) )).
% 15.12/15.31 cnf(matrix-863, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1608, _u1609) | ( 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), _u1608), _u1610), _u1611), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1609), _u1610), _u1612)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1611, 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, _u1609, _u1608)), _u1610), _u1612))) )).
% 15.12/15.31 cnf(matrix-864, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1614) | ~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), _u1613), _u1615), _u1616), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1614), _u1615), _u1617)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1616, 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, _u1614, _u1613)), _u1615), _u1617)) )).
% 15.12/15.31 cnf(matrix-865, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1613, _u1614) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1616, 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, _u1614, _u1613)), _u1615), _u1617)) | 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), _u1613), _u1615), _u1616), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1614), _u1615), _u1617)) )).
% 15.12/15.31 cnf(matrix-866, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1618, _u1619) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), _u1620), _u1621) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1618), _u1620), _u1622)) | ( 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, _u1619, _u1618)), _u1620), _u1621) = _u1622) )).
% 15.12/15.31 cnf(matrix-867, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1618, _u1619) | ( 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, _u1619, _u1618)), _u1620), _u1621) != _u1622) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), _u1620), _u1621) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1618), _u1620), _u1622)) )).
% 15.12/15.31 cnf(matrix-868, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1623, _u1624) | ( 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), _u1624), _u1625), _u1626), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1623), _u1625), _u1627)) = 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, _u1624, _u1623)), _u1625), _u1626), _u1627)) )).
% 15.12/15.31 cnf(matrix-869, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | ~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), _u1629), _u1630), _u1631), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), _u1632)) | 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, _u1629, _u1628)), _u1630), _u1631), _u1632) )).
% 15.12/15.31 cnf(matrix-870, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | ~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, _u1629, _u1628)), _u1630), _u1631), _u1632) | 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), _u1629), _u1630), _u1631), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), _u1632)) )).
% 15.12/15.31 cnf(matrix-871, plain, ( ~class_Rings_Ocomm__semiring__1(_u1633) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1633), _u1634), _u1635) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1633), _u1635), _u1634)) )).
% 15.12/15.31 cnf(matrix-872, plain, ( ~class_Rings_Ocomm__semiring__1(_u1636) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1637), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1638), _u1639)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1638), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1636), _u1637), _u1639))) )).
% 15.12/15.31 cnf(matrix-873, plain, ( ~class_Rings_Ocomm__semiring__1(_u1640) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1641), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1642), _u1643)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1640), _u1641), _u1642)), _u1643)) )).
% 15.12/15.31 cnf(matrix-874, plain, ( ~class_Rings_Ocomm__semiring__1(_u1644) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1645), _u1646)), _u1647) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1645), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1644), _u1646), _u1647))) )).
% 15.12/15.31 cnf(matrix-875, plain, ( ~class_Rings_Ocomm__semiring__1(_u1648) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), _u1649), _u1650)), _u1651) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1648), _u1649), _u1651)), _u1650)) )).
% 15.12/15.31 cnf(matrix-876, plain, ( ~class_Rings_Ocomm__semiring__1(_u1652) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1653), _u1654)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1655), _u1656)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1653), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1654), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1652), _u1655), _u1656)))) )).
% 15.12/15.31 cnf(matrix-877, plain, ( ~class_Rings_Ocomm__semiring__1(_u1657) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), _u1661)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1659)), _u1661))) )).
% 15.12/15.31 cnf(matrix-878, plain, ( ~class_Rings_Ocomm__semiring__1(_u1662) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1663), _u1664)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1665), _u1666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1663), _u1665)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1662), _u1664), _u1666))) )).
% 15.12/15.31 cnf(matrix-879, plain, ( ~class_Rings_Ocomm__semiring__1(_u1667) | ( c_Groups_Oplus__class_Oplus(_u1667, _u1668, _u1669) = c_Groups_Oplus__class_Oplus(_u1667, _u1669, _u1668)) )).
% 15.12/15.31 cnf(matrix-880, plain, ( ~class_Rings_Ocomm__semiring__1(_u1670) | ( c_Groups_Oplus__class_Oplus(_u1670, _u1671, c_Groups_Oplus__class_Oplus(_u1670, _u1672, _u1673)) = c_Groups_Oplus__class_Oplus(_u1670, _u1672, c_Groups_Oplus__class_Oplus(_u1670, _u1671, _u1673))) )).
% 15.12/15.31 cnf(matrix-881, plain, ( ~class_Rings_Ocomm__semiring__1(_u1674) | ( c_Groups_Oplus__class_Oplus(_u1674, _u1675, c_Groups_Oplus__class_Oplus(_u1674, _u1676, _u1677)) = c_Groups_Oplus__class_Oplus(_u1674, c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676), _u1677)) )).
% 15.12/15.31 cnf(matrix-882, plain, ( ~class_Rings_Ocomm__semiring__1(_u1678) | ( c_Groups_Oplus__class_Oplus(_u1678, c_Groups_Oplus__class_Oplus(_u1678, _u1679, _u1680), _u1681) = c_Groups_Oplus__class_Oplus(_u1678, _u1679, c_Groups_Oplus__class_Oplus(_u1678, _u1680, _u1681))) )).
% 15.12/15.31 cnf(matrix-883, plain, ( ~class_Rings_Ocomm__semiring__1(_u1682) | ( c_Groups_Oplus__class_Oplus(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1684), _u1685) = c_Groups_Oplus__class_Oplus(_u1682, c_Groups_Oplus__class_Oplus(_u1682, _u1683, _u1685), _u1684)) )).
% 15.12/15.31 cnf(matrix-884, plain, ( ~class_Rings_Ocomm__semiring__1(_u1686) | ( c_Groups_Oplus__class_Oplus(_u1686, c_Groups_Oplus__class_Oplus(_u1686, _u1687, _u1688), c_Groups_Oplus__class_Oplus(_u1686, _u1689, _u1690)) = c_Groups_Oplus__class_Oplus(_u1686, c_Groups_Oplus__class_Oplus(_u1686, _u1687, _u1689), c_Groups_Oplus__class_Oplus(_u1686, _u1688, _u1690))) )).
% 15.12/15.31 cnf(matrix-885, 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))) )).
% 15.12/15.31 cnf(matrix-886, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1691, _u1692) | ~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), _u1692), _u1693), _u1694), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1691), _u1693), _u1695)) | 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, _u1692, _u1691)), _u1693), _u1694), _u1695) )).
% 15.12/15.31 cnf(matrix-887, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1691, _u1692) | ~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, _u1692, _u1691)), _u1693), _u1694), _u1695) | 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), _u1692), _u1693), _u1694), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1691), _u1693), _u1695)) )).
% 15.12/15.31 cnf(matrix-888, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1696, _u1697) | ~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), _u1696), _u1698), _u1699), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1697), _u1698), _u1700)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1699, 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, _u1697, _u1696)), _u1698), _u1700)) )).
% 15.12/15.31 cnf(matrix-889, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1696, _u1697) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1699, 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, _u1697, _u1696)), _u1698), _u1700)) | 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), _u1696), _u1698), _u1699), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1697), _u1698), _u1700)) )).
% 15.12/15.31 cnf(matrix-890, plain, ( ( _u1703 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1703), _u1705) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-891, plain, ( ( _u1704 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1704), _u1706) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1706, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1704, c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u1706))) )).
% 15.12/15.31 cnf(matrix-892, plain, ( ( _u1709 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1711), _u1709) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-893, plain, ( ( _u1710 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1712), _u1710) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1712), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u1712), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1710, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.12/15.31 cnf(matrix-894, plain, ( ~class_Power_Opower(_u1713) | ( _u1714 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), _u1714) = c_Groups_Oone__class_Oone(_u1713)) )).
% 15.12/15.31 cnf(matrix-895, plain, ( ~class_Power_Opower(_u1713) | ( _u1714 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), _u1714) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1713), _u1715), hAPP(hAPP(c_Power_Opower__class_Opower(_u1713), _u1715), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1714, c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 15.12/15.31 cnf(matrix-896, plain, ( ~class_Groups_Omonoid__mult(_u1716) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1717) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1716), hAPP(hAPP(c_Power_Opower__class_Opower(_u1716), _u1718), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1717, c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u1718) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1716), _u1718), _u1717)) )).
% 15.12/15.31 cnf(matrix-897, plain, ( ~class_Rings_Ocomm__semiring__1(_u1719) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1719), c_Groups_Ozero__class_Ozero(_u1719)), _u1720) = c_Groups_Ozero__class_Ozero(_u1719)) )).
% 15.12/15.31 cnf(matrix-898, plain, ( ~class_Rings_Ocomm__semiring__1(_u1721) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1721), _u1722), c_Groups_Ozero__class_Ozero(_u1721)) = c_Groups_Ozero__class_Ozero(_u1721)) )).
% 15.12/15.31 cnf(matrix-899, plain, ( ~class_Rings_Ocomm__semiring__1(_u1723) | ( c_Groups_Oplus__class_Oplus(_u1723, c_Groups_Ozero__class_Ozero(_u1723), _u1724) = _u1724) )).
% 15.12/15.31 cnf(matrix-900, plain, ( ~class_Rings_Ocomm__semiring__1(_u1725) | ( c_Groups_Oplus__class_Oplus(_u1725, _u1726, c_Groups_Ozero__class_Ozero(_u1725)) = _u1726) )).
% 15.12/15.31 cnf(matrix-901, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1727) | ( _u1728 != c_Groups_Oplus__class_Oplus(_u1727, _u1728, _u1729)) | ( _u1729 = c_Groups_Ozero__class_Ozero(_u1727)) )).
% 15.12/15.31 cnf(matrix-902, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1727) | ( _u1729 != c_Groups_Ozero__class_Ozero(_u1727)) | ( _u1728 = c_Groups_Oplus__class_Oplus(_u1727, _u1728, _u1729)) )).
% 15.12/15.31 cnf(matrix-903, plain, ( ~class_Rings_Ocomm__semiring__1(_u1730) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), c_Groups_Oplus__class_Oplus(_u1730, _u1732, _u1733)) = c_Groups_Oplus__class_Oplus(_u1730, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), _u1732), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1730), _u1731), _u1733))) )).
% 15.12/15.31 cnf(matrix-904, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( _u1735 = _u1736) | ( _u1737 = _u1738) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) != c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) )).
% 15.12/15.31 cnf(matrix-905, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) = c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) | ( _u1735 != _u1736) )).
% 15.12/15.31 cnf(matrix-906, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1734) | ( c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1737), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1738)) = c_Groups_Oplus__class_Oplus(_u1734, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1735), _u1738), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1734), _u1736), _u1737))) | ( _u1737 != _u1738) )).
% 15.12/15.31 cnf(matrix-907, plain, ( ~class_Rings_Ocomm__semiring__1(_u1739) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), c_Groups_Oplus__class_Oplus(_u1739, _u1740, _u1741)), _u1742) = c_Groups_Oplus__class_Oplus(_u1739, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), _u1740), _u1742), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1739), _u1741), _u1742))) )).
% 15.12/15.31 cnf(matrix-908, plain, ( ~class_Rings_Ocomm__semiring__1(_u1743) | ( c_Groups_Oplus__class_Oplus(_u1743, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), _u1744), _u1745), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), _u1746), _u1745)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1743), c_Groups_Oplus__class_Oplus(_u1743, _u1744, _u1746)), _u1745)) )).
% 15.12/15.31 cnf(matrix-909, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) != c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1748 = _u1750) | ( _u1749 = _u1751) )).
% 15.12/15.31 cnf(matrix-910, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) = c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1748 != _u1750) )).
% 15.12/15.32 cnf(matrix-911, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1747) | ( c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1749), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1751)) = c_Groups_Oplus__class_Oplus(_u1747, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1748), _u1751), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1747), _u1750), _u1749))) | ( _u1749 != _u1751) )).
% 15.12/15.32 cnf(matrix-912, plain, ( ~class_Rings_Ocomm__semiring__1(_u1752) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1752), c_Groups_Oone__class_Oone(_u1752)), _u1753) = _u1753) )).
% 15.12/15.32 cnf(matrix-913, plain, ( ~class_Rings_Ocomm__semiring__1(_u1754) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1754), _u1755), c_Groups_Oone__class_Oone(_u1754)) = _u1755) )).
% 15.12/15.32 cnf(matrix-914, plain, ( ~class_Groups_Oab__group__add(_u1756) | ( c_Groups_Ominus__class_Ominus(_u1756, c_Groups_Oplus__class_Oplus(_u1756, _u1757, _u1758), c_Groups_Oplus__class_Oplus(_u1756, _u1759, _u1760)) = c_Groups_Oplus__class_Oplus(_u1756, c_Groups_Ominus__class_Ominus(_u1756, _u1757, _u1759), c_Groups_Ominus__class_Ominus(_u1756, _u1758, _u1760))) )).
% 15.12/15.32 cnf(matrix-915, plain, ( ~class_Rings_Ocomm__semiring__1(_u1761) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1761), _u1762), _u1763)), _u1764) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1761), hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), _u1762), _u1764)), hAPP(hAPP(c_Power_Opower__class_Opower(_u1761), _u1763), _u1764))) )).
% 15.12/15.32 cnf(matrix-916, plain, ( ~class_Rings_Ocomm__semiring__1(_u1765) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), _u1766), _u1767)), _u1768) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1765), _u1766), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1767), _u1768))) )).
% 15.12/15.32 cnf(matrix-917, plain, ( ~class_Rings_Ocomm__semiring__1(_u1769) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1769), _u1770), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1770) )).
% 15.12/15.32 cnf(matrix-918, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1771) | ( _u1772 = c_Groups_Ozero__class_Ozero(_u1771)) | ( _u1773 != _u1774) | ( _u1775 = _u1776) | ( c_Groups_Oplus__class_Oplus(_u1771, _u1773, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1771), _u1772), _u1775)) != c_Groups_Oplus__class_Oplus(_u1771, _u1774, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1771), _u1772), _u1776))) )).
% 15.12/15.32 cnf(matrix-919, plain, ( ~class_Rings_Ocomm__semiring__1(_u1777) | ( c_Groups_Oplus__class_Oplus(_u1777, _u1778, _u1778) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1777), c_Groups_Oplus__class_Oplus(_u1777, c_Groups_Oone__class_Oone(_u1777), c_Groups_Oone__class_Oone(_u1777))), _u1778)) )).
% 15.12/15.32 cnf(matrix-920, plain, ( ~class_Rings_Ocomm__semiring__1(_u1779) | ( c_Groups_Oplus__class_Oplus(_u1779, _u1780, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), _u1781), _u1780)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1779), c_Groups_Oplus__class_Oplus(_u1779, _u1781, c_Groups_Oone__class_Oone(_u1779))), _u1780)) )).
% 15.12/15.32 cnf(matrix-921, plain, ( ~class_Rings_Ocomm__semiring__1(_u1782) | ( c_Groups_Oplus__class_Oplus(_u1782, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1782), _u1783), _u1784), _u1784) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1782), c_Groups_Oplus__class_Oplus(_u1782, _u1783, c_Groups_Oone__class_Oone(_u1782))), _u1784)) )).
% 15.12/15.32 cnf(matrix-922, plain, ( ~class_Rings_Ocomm__ring__1(_u1785) | ( c_Groups_Ouminus__class_Ouminus(_u1785, _u1786) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1785), c_Groups_Ouminus__class_Ouminus(_u1785, c_Groups_Oone__class_Oone(_u1785))), _u1786)) )).
% 15.12/15.32 cnf(matrix-923, plain, ( ~class_Rings_Ocomm__ring__1(_u1787) | ( c_Groups_Ominus__class_Ominus(_u1787, _u1788, _u1789) = c_Groups_Oplus__class_Oplus(_u1787, _u1788, c_Groups_Ouminus__class_Ouminus(_u1787, _u1789))) )).
% 15.12/15.32 cnf(matrix-924, plain, ( ~class_Rings_Ocomm__semiring__1(_u1790) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u1790), _u1791), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u1790)) )).
% 15.12/15.32 cnf(matrix-925, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1792) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1792, _u1793) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1793, 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), _u1793)), _u1792), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-926, 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____)))))) )).
% 15.12/15.32 cnf(matrix-927, 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____))))) )).
% 15.12/15.32 cnf(matrix-928, 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____))))) )).
% 15.12/15.32 cnf(matrix-929, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p)) )).
% 15.12/15.32 cnf(matrix-930, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1794), 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____), _u1794)), v_m____) )).
% 15.12/15.32 cnf(matrix-931, 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____))))) )).
% 15.12/15.32 cnf(matrix-932, 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____)))))) )).
% 15.12/15.32 cnf(matrix-933, 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____)))))) )).
% 15.12/15.32 cnf(matrix-934, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, _u1796), _u1797) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u1795, _u1797), _u1796)) )).
% 15.12/15.32 cnf(matrix-935, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1798) | ( c_Groups_Oabs__class_Oabs(_u1798, _u1799) != c_Groups_Ozero__class_Ozero(_u1798)) | ( _u1799 = c_Groups_Ozero__class_Ozero(_u1798)) )).
% 15.12/15.32 cnf(matrix-936, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1798) | ( _u1799 != c_Groups_Ozero__class_Ozero(_u1798)) | ( c_Groups_Oabs__class_Oabs(_u1798, _u1799) = c_Groups_Ozero__class_Ozero(_u1798)) )).
% 15.12/15.32 cnf(matrix-937, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1800) | ( c_Groups_Oabs__class_Oabs(_u1800, c_Groups_Ozero__class_Ozero(_u1800)) = c_Groups_Ozero__class_Ozero(_u1800)) )).
% 15.12/15.32 cnf(matrix-938, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1801) | c_Orderings_Oord__class_Oless__eq(_u1801, _u1802, c_Groups_Oabs__class_Oabs(_u1801, _u1802)) )).
% 15.12/15.32 cnf(matrix-939, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1803) | ~c_Orderings_Oord__class_Oless__eq(_u1803, c_Groups_Oabs__class_Oabs(_u1803, _u1804), _u1805) | c_Orderings_Oord__class_Oless__eq(_u1803, _u1804, _u1805) )).
% 15.12/15.32 cnf(matrix-940, plain, ( ~class_Rings_Olinordered__idom(_u1806) | ( c_Groups_Oabs__class_Oabs(_u1806, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), c_Groups_Oabs__class_Oabs(_u1806, _u1807)), c_Groups_Oabs__class_Oabs(_u1806, _u1808))) )).
% 15.12/15.32 cnf(matrix-941, plain, ( ~class_Rings_Olinordered__idom(_u1809) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), c_Groups_Oabs__class_Oabs(_u1809, _u1810)), c_Groups_Oabs__class_Oabs(_u1809, _u1810)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1810)) )).
% 15.12/15.32 cnf(matrix-942, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1811) | ( c_Groups_Oabs__class_Oabs(_u1811, c_Groups_Oplus__class_Oplus(_u1811, c_Groups_Oabs__class_Oabs(_u1811, _u1812), c_Groups_Oabs__class_Oabs(_u1811, _u1813))) = c_Groups_Oplus__class_Oplus(_u1811, c_Groups_Oabs__class_Oabs(_u1811, _u1812), c_Groups_Oabs__class_Oabs(_u1811, _u1813))) )).
% 15.12/15.32 cnf(matrix-943, plain, ( ~class_Rings_Olinordered__idom(_u1814) | ( c_Groups_Oabs__class_Oabs(_u1814, c_Groups_Oone__class_Oone(_u1814)) = c_Groups_Oone__class_Oone(_u1814)) )).
% 15.12/15.32 cnf(matrix-944, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1815) | ( c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ominus__class_Ominus(_u1815, _u1816, _u1817)) = c_Groups_Oabs__class_Oabs(_u1815, c_Groups_Ominus__class_Ominus(_u1815, _u1817, _u1816))) )).
% 15.12/15.32 cnf(matrix-945, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1818) | ( c_Groups_Oabs__class_Oabs(_u1818, c_Groups_Ouminus__class_Ouminus(_u1818, _u1819)) = c_Groups_Oabs__class_Oabs(_u1818, _u1819)) )).
% 15.12/15.32 cnf(matrix-946, plain, ( ~class_Rings_Olinordered__idom(_u1820) | ( c_Groups_Oabs__class_Oabs(_u1820, hAPP(hAPP(c_Power_Opower__class_Opower(_u1820), _u1821), _u1822)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u1820), c_Groups_Oabs__class_Oabs(_u1820, _u1821)), _u1822)) )).
% 15.12/15.32 cnf(matrix-947, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1823) | ( c_Groups_Oabs__class_Oabs(_u1823, c_Rings_Oinverse__class_Oinverse(_u1823, _u1824)) = c_Rings_Oinverse__class_Oinverse(_u1823, c_Groups_Oabs__class_Oabs(_u1823, _u1824))) )).
% 15.12/15.32 cnf(matrix-948, plain, ( ~class_RealVector_Oreal__normed__vector(_u1825) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1825, _u1826)) = c_RealVector_Onorm__class_Onorm(_u1825, _u1826)) )).
% 15.12/15.32 cnf(matrix-949, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1827) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1827)) )).
% 15.12/15.32 cnf(matrix-950, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1828) | ( c_Groups_Oabs__class_Oabs(_u1828, c_Groups_Oabs__class_Oabs(_u1828, _u1829)) = c_Groups_Oabs__class_Oabs(_u1828, _u1829)) )).
% 15.12/15.32 cnf(matrix-951, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1830) | c_Orderings_Oord__class_Oless__eq(_u1830, c_Groups_Ozero__class_Ozero(_u1830), c_Groups_Oabs__class_Oabs(_u1830, _u1831)) )).
% 15.12/15.32 cnf(matrix-952, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1832) | ~c_Orderings_Oord__class_Oless__eq(_u1832, c_Groups_Oabs__class_Oabs(_u1832, _u1833), c_Groups_Ozero__class_Ozero(_u1832)) | ( _u1833 = c_Groups_Ozero__class_Ozero(_u1832)) )).
% 15.12/15.32 cnf(matrix-953, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1832) | ( _u1833 != c_Groups_Ozero__class_Ozero(_u1832)) | c_Orderings_Oord__class_Oless__eq(_u1832, c_Groups_Oabs__class_Oabs(_u1832, _u1833), c_Groups_Ozero__class_Ozero(_u1832)) )).
% 15.12/15.32 cnf(matrix-954, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1834) | ~c_Orderings_Oord__class_Oless__eq(_u1834, c_Groups_Ozero__class_Ozero(_u1834), _u1835) | ( c_Groups_Oabs__class_Oabs(_u1834, _u1835) = _u1835) )).
% 15.12/15.32 cnf(matrix-955, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1836) | ~c_Orderings_Oord__class_Oless(_u1836, c_Groups_Ozero__class_Ozero(_u1836), _u1837) | ( c_Groups_Oabs__class_Oabs(_u1836, _u1837) = _u1837) )).
% 15.12/15.32 cnf(matrix-956, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1838) | ~c_Orderings_Oord__class_Oless(_u1838, c_Groups_Ozero__class_Ozero(_u1838), c_Groups_Oabs__class_Oabs(_u1838, _u1839)) | ( _u1839 != c_Groups_Ozero__class_Ozero(_u1838)) )).
% 15.12/15.32 cnf(matrix-957, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1838) | ( _u1839 = c_Groups_Ozero__class_Ozero(_u1838)) | c_Orderings_Oord__class_Oless(_u1838, c_Groups_Ozero__class_Ozero(_u1838), c_Groups_Oabs__class_Oabs(_u1838, _u1839)) )).
% 15.12/15.32 cnf(matrix-958, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1840) | ~c_Orderings_Oord__class_Oless(_u1840, c_Groups_Oabs__class_Oabs(_u1840, _u1841), c_Groups_Ozero__class_Ozero(_u1840)) )).
% 15.12/15.32 cnf(matrix-959, plain, ( ~class_Rings_Olinordered__idom(_u1842) | ~c_Orderings_Oord__class_Oless(_u1842, c_Groups_Oabs__class_Oabs(_u1842, _u1843), _u1844) | ~c_Orderings_Oord__class_Oless(_u1842, c_Groups_Oabs__class_Oabs(_u1842, _u1845), _u1846) | c_Orderings_Oord__class_Oless(_u1842, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1842), c_Groups_Oabs__class_Oabs(_u1842, _u1843)), c_Groups_Oabs__class_Oabs(_u1842, _u1845)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1842), _u1844), _u1846)) )).
% 15.12/15.32 cnf(matrix-960, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1847) | c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Oabs__class_Oabs(_u1847, c_Groups_Oplus__class_Oplus(_u1847, _u1848, _u1849)), c_Groups_Oplus__class_Oplus(_u1847, c_Groups_Oabs__class_Oabs(_u1847, _u1848), c_Groups_Oabs__class_Oabs(_u1847, _u1849))) )).
% 15.12/15.32 cnf(matrix-961, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1850) | c_Orderings_Oord__class_Oless__eq(_u1850, c_Groups_Oabs__class_Oabs(_u1850, c_Groups_Ominus__class_Ominus(_u1850, c_Groups_Oabs__class_Oabs(_u1850, _u1851), c_Groups_Oabs__class_Oabs(_u1850, _u1852))), c_Groups_Oabs__class_Oabs(_u1850, c_Groups_Ominus__class_Ominus(_u1850, _u1851, _u1852))) )).
% 15.12/15.32 cnf(matrix-962, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1853) | c_Orderings_Oord__class_Oless__eq(_u1853, c_Groups_Ominus__class_Ominus(_u1853, c_Groups_Oabs__class_Oabs(_u1853, _u1854), c_Groups_Oabs__class_Oabs(_u1853, _u1855)), c_Groups_Oabs__class_Oabs(_u1853, c_Groups_Ominus__class_Ominus(_u1853, _u1854, _u1855))) )).
% 15.12/15.32 cnf(matrix-963, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1856) | c_Orderings_Oord__class_Oless__eq(_u1856, c_Groups_Ominus__class_Ominus(_u1856, c_Groups_Oabs__class_Oabs(_u1856, _u1857), c_Groups_Oabs__class_Oabs(_u1856, _u1858)), c_Groups_Oabs__class_Oabs(_u1856, c_Groups_Ominus__class_Ominus(_u1856, _u1858, _u1857))) )).
% 15.12/15.32 cnf(matrix-964, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1859) | c_Orderings_Oord__class_Oless__eq(_u1859, c_Groups_Ouminus__class_Ouminus(_u1859, _u1860), c_Groups_Oabs__class_Oabs(_u1859, _u1860)) )).
% 15.12/15.32 cnf(matrix-965, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, _u1862, _u1863) )).
% 15.12/15.32 cnf(matrix-966, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Ouminus__class_Ouminus(_u1861, _u1862), _u1863) )).
% 15.12/15.32 cnf(matrix-967, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1861, _u1862, _u1863) | ~c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Ouminus__class_Ouminus(_u1861, _u1862), _u1863) | c_Orderings_Oord__class_Oless__eq(_u1861, c_Groups_Oabs__class_Oabs(_u1861, _u1862), _u1863) )).
% 15.12/15.32 cnf(matrix-968, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1864) | ~c_Orderings_Oord__class_Oless__eq(_u1864, _u1865, _u1866) | ~c_Orderings_Oord__class_Oless__eq(_u1864, c_Groups_Ouminus__class_Ouminus(_u1864, _u1865), _u1866) | c_Orderings_Oord__class_Oless__eq(_u1864, c_Groups_Oabs__class_Oabs(_u1864, _u1865), _u1866) )).
% 15.12/15.32 cnf(matrix-969, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1867) | ~c_Orderings_Oord__class_Oless__eq(_u1867, c_Groups_Oabs__class_Oabs(_u1867, _u1868), _u1869) | c_Orderings_Oord__class_Oless__eq(_u1867, c_Groups_Ouminus__class_Ouminus(_u1867, _u1868), _u1869) )).
% 15.12/15.32 cnf(matrix-970, plain, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, _u1871, _u1872) )).
% 15.12/15.32 cnf(matrix-971, plain, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, c_Groups_Ouminus__class_Ouminus(_u1870, _u1871), _u1872) )).
% 15.12/15.32 cnf(matrix-972, plain, ( ~class_Rings_Olinordered__idom(_u1870) | ~c_Orderings_Oord__class_Oless(_u1870, _u1871, _u1872) | ~c_Orderings_Oord__class_Oless(_u1870, c_Groups_Ouminus__class_Ouminus(_u1870, _u1871), _u1872) | c_Orderings_Oord__class_Oless(_u1870, c_Groups_Oabs__class_Oabs(_u1870, _u1871), _u1872) )).
% 15.12/15.32 cnf(matrix-973, plain, ( ~class_Fields_Olinordered__field(_u1873) | ( _u1874 = c_Groups_Ozero__class_Ozero(_u1873)) | ( c_Groups_Oabs__class_Oabs(_u1873, c_Rings_Oinverse__class_Oinverse(_u1873, _u1874)) = c_Rings_Oinverse__class_Oinverse(_u1873, c_Groups_Oabs__class_Oabs(_u1873, _u1874))) )).
% 15.12/15.32 cnf(matrix-974, plain, ( ~class_Rings_Olinordered__idom(_u1875) | ( c_Groups_Oabs__class_Oabs(_u1875, hAPP(hAPP(c_Power_Opower__class_Opower(_u1875), c_Groups_Ouminus__class_Ouminus(_u1875, _u1876)), _u1877)) = c_Groups_Oabs__class_Oabs(_u1875, hAPP(hAPP(c_Power_Opower__class_Opower(_u1875), _u1876), _u1877))) )).
% 15.12/15.32 cnf(matrix-975, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1880), _u1882) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1882), _u1880) )).
% 15.12/15.32 cnf(matrix-976, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1880), _u1882) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1880, _u1882) )).
% 15.12/15.32 cnf(matrix-977, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1883), _u1881) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1881, _u1883) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1881), _u1883) )).
% 15.12/15.32 cnf(matrix-978, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u1884) | ( c_RealVector_Onorm__class_Onorm(_u1884, c_RealVector_Oof__real(_u1884, _u1885)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1885)) )).
% 15.12/15.32 cnf(matrix-979, plain, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1886, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1887))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1887, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1886)))) )).
% 15.12/15.32 cnf(matrix-980, plain, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1889) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1890) )).
% 15.12/15.32 cnf(matrix-981, plain, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1889) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1890, c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.32 cnf(matrix-982, plain, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1889, c_Groups_Ozero__class_Ozero(_u1888)) | ~c_Orderings_Oord__class_Oless__eq(_u1888, c_Groups_Ozero__class_Ozero(_u1888), _u1890) )).
% 15.12/15.32 cnf(matrix-983, plain, ( ~class_Rings_Oordered__ring__abs(_u1888) | ( c_Groups_Oabs__class_Oabs(_u1888, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), _u1889), _u1890)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1888), c_Groups_Oabs__class_Oabs(_u1888, _u1889)), c_Groups_Oabs__class_Oabs(_u1888, _u1890))) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1889, c_Groups_Ozero__class_Ozero(_u1888)) | ~c_Orderings_Oord__class_Oless__eq(_u1888, _u1890, c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.32 cnf(matrix-984, plain, ( ~class_Rings_Olinordered__idom(_u1891) | ~c_Orderings_Oord__class_Oless__eq(_u1891, c_Groups_Ozero__class_Ozero(_u1891), _u1892) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), c_Groups_Oabs__class_Oabs(_u1891, _u1893)), _u1892) = c_Groups_Oabs__class_Oabs(_u1891, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1891), _u1893), _u1892))) )).
% 15.12/15.32 cnf(matrix-985, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1894) | ~c_Orderings_Oord__class_Oless__eq(_u1894, _u1895, c_Groups_Ozero__class_Ozero(_u1894)) | ( c_Groups_Oabs__class_Oabs(_u1894, _u1895) = c_Groups_Ouminus__class_Ouminus(_u1894, _u1895)) )).
% 15.12/15.32 cnf(matrix-986, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1896) | c_Orderings_Oord__class_Oless__eq(_u1896, c_Groups_Ouminus__class_Ouminus(_u1896, c_Groups_Oabs__class_Oabs(_u1896, _u1897)), c_Groups_Ozero__class_Ozero(_u1896)) )).
% 15.12/15.32 cnf(matrix-987, plain, ( ~class_Rings_Olinordered__idom(_u1898) | c_Orderings_Oord__class_Oless__eq(_u1898, c_Groups_Ozero__class_Ozero(_u1898), hAPP(hAPP(c_Power_Opower__class_Opower(_u1898), c_Groups_Oabs__class_Oabs(_u1898, _u1899)), _u1900)) )).
% 15.12/15.32 cnf(matrix-988, plain, ( ~class_Groups_Oabs__if(_u1901) | ~c_Orderings_Oord__class_Oless(_u1901, _u1902, c_Groups_Ozero__class_Ozero(_u1901)) | ( c_Groups_Oabs__class_Oabs(_u1901, _u1902) = c_Groups_Ouminus__class_Ouminus(_u1901, _u1902)) )).
% 15.12/15.32 cnf(matrix-989, plain, ( ~class_Groups_Oabs__if(_u1901) | c_Orderings_Oord__class_Oless(_u1901, _u1902, c_Groups_Ozero__class_Ozero(_u1901)) | ( c_Groups_Oabs__class_Oabs(_u1901, _u1902) = _u1902) )).
% 15.12/15.32 cnf(matrix-990, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1903) | ~c_Orderings_Oord__class_Oless(_u1903, _u1904, c_Groups_Ozero__class_Ozero(_u1903)) | ( c_Groups_Oabs__class_Oabs(_u1903, _u1904) = c_Groups_Ouminus__class_Ouminus(_u1903, _u1904)) )).
% 15.12/15.32 cnf(matrix-991, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1905) | c_Orderings_Oord__class_Oless__eq(_u1905, c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, c_Groups_Oplus__class_Oplus(_u1905, _u1906, _u1907), c_Groups_Oplus__class_Oplus(_u1905, _u1908, _u1909))), c_Groups_Oplus__class_Oplus(_u1905, c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, _u1906, _u1908)), c_Groups_Oabs__class_Oabs(_u1905, c_Groups_Ominus__class_Ominus(_u1905, _u1907, _u1909)))) )).
% 15.12/15.32 cnf(matrix-992, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u1910) | c_Orderings_Oord__class_Oless__eq(_u1910, c_Groups_Oabs__class_Oabs(_u1910, c_Groups_Ominus__class_Ominus(_u1910, _u1911, _u1912)), c_Groups_Oplus__class_Oplus(_u1910, c_Groups_Oabs__class_Oabs(_u1910, _u1911), c_Groups_Oabs__class_Oabs(_u1910, _u1912))) )).
% 15.12/15.32 cnf(matrix-993, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1913, 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, _u1914), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1913), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1915))) | ( _u1914 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-994, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1917, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1917) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1917)) )).
% 15.12/15.32 cnf(matrix-995, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1918, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1918) = _u1918) )).
% 15.12/15.32 cnf(matrix-996, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1920, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1920) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1920)) )).
% 15.12/15.32 cnf(matrix-997, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1921, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u1921) = _u1921) )).
% 15.12/15.32 cnf(matrix-998, 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, _u1922), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u1922) )).
% 15.12/15.32 cnf(matrix-999, 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, _u1923, _u1924), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1925), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1926)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1923, 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, _u1924, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1926))))) )).
% 15.12/15.32 cnf(matrix-1000, plain, ( ~class_RealVector_Oreal__normed__vector(_u1927) | 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(_u1927, _u1928), c_RealVector_Onorm__class_Onorm(_u1927, _u1929))), c_RealVector_Onorm__class_Onorm(_u1927, c_Groups_Ominus__class_Ominus(_u1927, _u1928, _u1929))) )).
% 15.12/15.32 cnf(matrix-1001, 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, _u1930))) )).
% 15.12/15.32 cnf(matrix-1002, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem10) )).
% 15.12/15.32 cnf(matrix-1003, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1931), 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____), _u1931)), skolem10) )).
% 15.12/15.32 cnf(matrix-1004, plain, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) | c_Orderings_Oord__class_Oless(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1935, _u1936), _u1934) )).
% 15.12/15.32 cnf(matrix-1005, plain, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) | c_Orderings_Oord__class_Oless(_u1933, _u1934, c_Groups_Oplus__class_Oplus(_u1933, _u1935, _u1936)) )).
% 15.12/15.32 cnf(matrix-1006, plain, ( ~class_Rings_Olinordered__idom(_u1933) | ~c_Orderings_Oord__class_Oless(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1935, _u1936), _u1934) | ~c_Orderings_Oord__class_Oless(_u1933, _u1934, c_Groups_Oplus__class_Oplus(_u1933, _u1935, _u1936)) | c_Orderings_Oord__class_Oless(_u1933, c_Groups_Oabs__class_Oabs(_u1933, c_Groups_Ominus__class_Ominus(_u1933, _u1934, _u1935)), _u1936) )).
% 15.12/15.32 cnf(matrix-1007, plain, ( ~class_Rings_Olinordered__idom(_u1937) | ~c_Orderings_Oord__class_Oless(_u1937, c_Groups_Oplus__class_Oplus(_u1937, _u1938, _u1938), c_Groups_Ozero__class_Ozero(_u1937)) | c_Orderings_Oord__class_Oless(_u1937, _u1938, c_Groups_Ozero__class_Ozero(_u1937)) )).
% 15.12/15.32 cnf(matrix-1008, plain, ( ~class_Rings_Olinordered__idom(_u1937) | ~c_Orderings_Oord__class_Oless(_u1937, _u1938, c_Groups_Ozero__class_Ozero(_u1937)) | c_Orderings_Oord__class_Oless(_u1937, c_Groups_Oplus__class_Oplus(_u1937, _u1938, _u1938), c_Groups_Ozero__class_Ozero(_u1937)) )).
% 15.12/15.32 cnf(matrix-1009, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____)) )).
% 15.12/15.32 cnf(matrix-1010, 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, _u1941)), _u1943)) | ( _u1941 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u1943 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1011, 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, _u1942)), _u1944)) | ( _u1942 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1012, 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, _u1942)), _u1944)) | ( _u1944 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1013, plain, ( ( hAPP(_u1956, _u1946) = hAPP(_u1956, _u1945)) | ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u1952, _u1954, _u1956) )).
% 15.12/15.32 cnf(matrix-1014, plain, ( ( hAPP(_u1957, skolem11(_u1957)) != hAPP(_u1957, skolem12(_u1957))) | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(_u1953, _u1955, _u1957) )).
% 15.12/15.32 cnf(matrix-1015, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1959, _u1960)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), _u1959)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1958), _u1960))) )).
% 15.12/15.32 cnf(matrix-1016, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1961), _u1962)), _u1963) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u1961), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1962), _u1963))) )).
% 15.12/15.32 cnf(matrix-1017, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1964) | ( c_Groups_Oplus__class_Oplus(_u1964, _u1965, _u1965) != c_Groups_Ozero__class_Ozero(_u1964)) | ( _u1965 = c_Groups_Ozero__class_Ozero(_u1964)) )).
% 15.12/15.32 cnf(matrix-1018, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1964) | ( _u1965 != c_Groups_Ozero__class_Ozero(_u1964)) | ( c_Groups_Oplus__class_Oplus(_u1964, _u1965, _u1965) = c_Groups_Ozero__class_Ozero(_u1964)) )).
% 15.12/15.32 cnf(matrix-1019, plain, ( ~class_RealVector_Oreal__algebra__1(_u1968) | ~class_RealVector_Oreal__normed__vector(_u1968) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem13(_u1968)) )).
% 15.12/15.32 cnf(matrix-1020, plain, ( ~class_RealVector_Oreal__algebra__1(_u1968) | ~class_RealVector_Oreal__normed__vector(_u1968) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1968, c_RealVector_Oof__real(_u1968, _u1966)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u1966)), skolem13(_u1968))) )).
% 15.12/15.32 cnf(matrix-1021, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1969) != 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, _u1969, 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, _u1969, 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, _u1969, 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, _u1969, c_Complex_Oii)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1022, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem14) )).
% 15.12/15.32 cnf(matrix-1023, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1970), 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____), _u1970)), skolem14) )).
% 15.12/15.32 cnf(matrix-1024, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1025, 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____), _u1972))) )).
% 15.12/15.32 cnf(matrix-1026, 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))) )).
% 15.12/15.32 cnf(matrix-1027, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1974, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1974) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1974)) )).
% 15.12/15.32 cnf(matrix-1028, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1975, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1975) = _u1975) )).
% 15.12/15.32 cnf(matrix-1029, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1978, _u1980) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1978, _u1980), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1030, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1979, _u1981), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1979, _u1981) )).
% 15.12/15.32 cnf(matrix-1031, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1984, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1986, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1984, _u1986) )).
% 15.12/15.32 cnf(matrix-1032, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1985, _u1987) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1985, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1987, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.32 cnf(matrix-1033, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1989, _u1990)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), _u1989), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1988), _u1990))) )).
% 15.12/15.32 cnf(matrix-1034, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u1991, _u1992)), _u1993) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1991), _u1993), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1992), _u1993))) )).
% 15.12/15.32 cnf(matrix-1035, 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, _u1994)), _u1995)) )).
% 15.12/15.32 cnf(matrix-1036, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1997), c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1997 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1037, plain, ( ( _u1998 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1998), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1038, plain, ( ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u1999), _u2000)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( c_Groups_Oabs__class_Oabs(tc_Int_Oint, _u1999) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1039, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2001, _u2002) | ( _u2001 = _u2002) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2002, _u2001) )).
% 15.12/15.32 cnf(matrix-1040, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2003, _u2004) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2005, _u2006) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2003, _u2005), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2004, _u2006)) )).
% 15.12/15.32 cnf(matrix-1041, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2007, _u2008) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2009) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2009), _u2007), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2009), _u2008)) )).
% 15.12/15.32 cnf(matrix-1042, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2010, _u2011) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2010, _u2012), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2011, _u2012)) )).
% 15.12/15.32 cnf(matrix-1043, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2013, _u2014) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2013, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2014) )).
% 15.12/15.32 cnf(matrix-1044, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2015 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1045, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2015) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2016 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1046, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2015) | ( _u2015 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2016 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2015), _u2016) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1047, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2017) | 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), _u2017)) )).
% 15.12/15.32 cnf(matrix-1048, 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), _u2019), _u2019), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2019, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1049, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2020, 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), _u2020), _u2020), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1050, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2021, _u2022)), _u2023) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2021), _u2023), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2022), _u2023))) )).
% 15.12/15.32 cnf(matrix-1051, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2024), _u2025)), _u2026) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2024), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2025), _u2026))) )).
% 15.12/15.32 cnf(matrix-1052, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2029, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2031) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2029, _u2031) )).
% 15.12/15.32 cnf(matrix-1053, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2030, _u2032) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2030, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2032) )).
% 15.12/15.32 cnf(matrix-1054, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2034, _u2035)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), _u2034), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2033), _u2035))) )).
% 15.12/15.32 cnf(matrix-1055, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2038, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2040, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2038, _u2040) | ( _u2038 = _u2040) )).
% 15.12/15.32 cnf(matrix-1056, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2041, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, _u2041) )).
% 15.12/15.32 cnf(matrix-1057, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2039, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2041, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2039 != _u2041) )).
% 15.12/15.32 cnf(matrix-1058, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2044, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2046, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2044, _u2046) )).
% 15.12/15.32 cnf(matrix-1059, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2045, _u2047) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2045, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2047, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.32 cnf(matrix-1060, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2050, _u2052) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2050, _u2052) )).
% 15.12/15.32 cnf(matrix-1061, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2050, _u2052) | ( _u2050 != _u2052) )).
% 15.12/15.32 cnf(matrix-1062, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2051, _u2053) | ( _u2051 = _u2053) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2051, _u2053) )).
% 15.12/15.32 cnf(matrix-1063, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2054), _u2055) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2055), _u2054)) )).
% 15.12/15.32 cnf(matrix-1064, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2056), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2056) )).
% 15.12/15.32 cnf(matrix-1065, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2057, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2057) )).
% 15.12/15.32 cnf(matrix-1066, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2059) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2059) )).
% 15.12/15.32 cnf(matrix-1067, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2060) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2060) )).
% 15.12/15.32 cnf(matrix-1068, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2061) = _u2061) )).
% 15.12/15.32 cnf(matrix-1069, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2062) = _u2062) )).
% 15.12/15.32 cnf(matrix-1070, 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)) )).
% 15.12/15.32 cnf(matrix-1071, 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), _u2063), _u2063) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1072, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1073, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2064)), _u2065) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2064), _u2065))) )).
% 15.12/15.32 cnf(matrix-1074, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2066), _u2066) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1075, 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)) )).
% 15.12/15.32 cnf(matrix-1076, plain, ( ( c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1077, plain, ( ( c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1078, plain, ( ( c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii)) )).
% 15.12/15.32 cnf(matrix-1079, 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), _u2067)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, _u2067)) )).
% 15.12/15.32 cnf(matrix-1080, 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))) )).
% 15.12/15.32 cnf(matrix-1081, 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____)) )).
% 15.12/15.32 cnf(matrix-1082, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2068) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2069, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2070, 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, _u2070, _u2069)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2068))) )).
% 15.12/15.32 cnf(matrix-1083, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2071) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2072, 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, _u2072, _u2073)), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u2071)), _u2073) )).
% 15.12/15.32 cnf(matrix-1084, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2074, _u2075)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2074), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2075))) )).
% 15.12/15.32 cnf(matrix-1085, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2076)) = _u2076) )).
% 15.12/15.32 cnf(matrix-1086, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2077, _u2077) )).
% 15.12/15.32 cnf(matrix-1087, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2078, _u2079) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2079, _u2078)) )).
% 15.12/15.32 cnf(matrix-1088, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2080, _u2081) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2081, _u2080) )).
% 15.12/15.32 cnf(matrix-1089, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2082, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2083, _u2084)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2083, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2082, _u2084))) )).
% 15.12/15.32 cnf(matrix-1090, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2085, _u2086), _u2087) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2085, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2086, _u2087))) )).
% 15.12/15.32 cnf(matrix-1091, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2088, _u2089) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2090, _u2088), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2090, _u2089)) )).
% 15.12/15.32 cnf(matrix-1092, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2091, _u2092) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2092, _u2093) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2091, _u2093) )).
% 15.12/15.32 cnf(matrix-1093, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2094, _u2095) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2095, _u2094) | ( _u2094 = _u2095) )).
% 15.12/15.32 cnf(matrix-1094, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2096, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2097)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2096, _u2097)) )).
% 15.12/15.32 cnf(matrix-1095, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2098, _u2099) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2098, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2099))) )).
% 15.12/15.32 cnf(matrix-1096, plain, ( ~class_Groups_Ozero(_u2100) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2100, _u2101) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2101 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2100))) )).
% 15.12/15.32 cnf(matrix-1097, plain, ( ~class_Groups_Ozero(_u2100) | ( _u2101 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2100))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u2100, _u2101) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1098, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2102) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2102))) )).
% 15.12/15.32 cnf(matrix-1099, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, _u2104), 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, _u2104)) | ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u2104), skolem15(_u2104)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1100, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, skolem16) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.12/15.32 cnf(matrix-1101, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, skolem16), _u2105) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____), c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, _u2105))) )).
% 15.12/15.32 cnf(matrix-1102, plain, ( ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v_pa____)) )).
% 15.12/15.32 cnf(matrix-1103, 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)) )).
% 15.12/15.32 cnf(matrix-1104, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.12/15.32 cnf(matrix-1105, plain, ( ~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex, tc_Complex_Ocomplex, c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____)) )).
% 15.12/15.32 cnf(matrix-1106, 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____), _u2107))) )).
% 15.12/15.32 cnf(matrix-1107, 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))) )).
% 15.12/15.32 cnf(matrix-1108, 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____))) )).
% 15.12/15.32 cnf(matrix-1109, 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____), skolem17) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1110, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2109) | ( _u2109 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2109), _u2111))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2110) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2111, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1111, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2112) | ( _u2112 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2113, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2112), _u2114))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2113, _u2112) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2114) )).
% 15.12/15.32 cnf(matrix-1112, 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)))) )).
% 15.12/15.32 cnf(matrix-1113, plain, ( ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), _u2115) = 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____)), _u2115)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) )).
% 15.12/15.32 cnf(matrix-1114, 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)) )).
% 15.12/15.32 cnf(matrix-1115, 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____))) )).
% 15.12/15.32 cnf(matrix-1116, 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____))) )).
% 15.12/15.32 cnf(matrix-1117, 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____)), _u2117)), 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____), _u2117)), 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)))) )).
% 15.12/15.32 cnf(matrix-1118, 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____), _u2118)), 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____)), _u2118)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1119, 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____)), _u2119) = 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), _u2119), v_k____)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____)), _u2119)))) )).
% 15.12/15.32 cnf(matrix-1120, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2120), _u2121), _u2122) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2123), _u2124), _u2125)) | ~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), _u2123), _u2124), _u2125), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2122, _u2120) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2125) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2123) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2123, _u2120) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2124, _u2121) )).
% 15.12/15.32 cnf(matrix-1121, 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), _u2126), _u2127), _u2128), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2126), _u2129), _u2130)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2130, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2126, _u2130) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2126, _u2128) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2129, _u2127) )).
% 15.12/15.32 cnf(matrix-1122, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2131), _u2132), _u2133) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2134), _u2135), _u2136)) | ~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), _u2134), _u2135), _u2136)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2136, _u2134) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2133) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2134) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2134, _u2131) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2132, _u2135) )).
% 15.12/15.32 cnf(matrix-1123, 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), _u2137), _u2138), _u2139), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2137), _u2140), _u2141)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2139) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2139, _u2137) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2141, _u2137) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2138, _u2140) )).
% 15.12/15.32 cnf(matrix-1124, 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), _u2142), _u2143), _u2144), 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), _u2144) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2142) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2143, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1125, 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), _u2145), _u2146), _u2147)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2147, _u2145) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2145) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2146) )).
% 15.12/15.32 cnf(matrix-1126, 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____)), skolem18)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1127, 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____)), skolem19) != 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____)), skolem20)) )).
% 15.12/15.32 cnf(matrix-1128, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2151) | 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), _u2151), _u2152)) )).
% 15.12/15.32 cnf(matrix-1129, plain, ( ~class_Rings_Ocomm__semiring__0(_u2153) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2153), c_Polynomial_Osmult(_u2153, _u2154, _u2155), c_Polynomial_OpCons(_u2153, _u2156, _u2155)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2153))) | ( _u2155 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2153))) )).
% 15.12/15.32 cnf(matrix-1130, 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)) )).
% 15.12/15.32 cnf(matrix-1131, 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)) )).
% 15.12/15.32 cnf(matrix-1132, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2157) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2158) | 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, _u2157, _u2158)) )).
% 15.12/15.32 cnf(matrix-1133, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2159) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2160) | 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), _u2159), _u2160)) )).
% 15.12/15.32 cnf(matrix-1134, 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)))))) )).
% 15.12/15.32 cnf(matrix-1135, 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)))))) )).
% 15.12/15.32 cnf(matrix-1136, plain, ( ~class_Rings_Ocomm__ring__1(_u2161) | ( hAPP(c_Polynomial_Opoly(_u2161, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2161)), c_Polynomial_Omonom(_u2161, c_Groups_Oone__class_Oone(_u2161), _u2162)), _u2163)), _u2164) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2161), hAPP(hAPP(c_Power_Opower__class_Opower(_u2161), _u2164), _u2162)), hAPP(c_Polynomial_Opoly(_u2161, _u2163), _u2164))) )).
% 15.12/15.32 cnf(matrix-1137, 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))))), skolem21) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1138, plain, ( ~class_Groups_Ozero(_u2166) | ( c_Polynomial_Omonom(_u2166, _u2167, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(_u2166, _u2167, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2166)))) )).
% 15.12/15.32 cnf(matrix-1139, plain, ( ~class_Rings_Olinordered__idom(_u2168) | ~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2168), _u2169, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2168))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2168), _u2169) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2168), _u2169)) )).
% 15.12/15.32 cnf(matrix-1140, plain, ( ~class_Rings_Olinordered__idom(_u2168) | c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(_u2168), _u2169, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2168))) | ( c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(_u2168), _u2169) = _u2169) )).
% 15.12/15.32 cnf(matrix-1141, plain, ( ~class_Groups_Oab__group__add(_u2170) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2170), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2170))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2170))) )).
% 15.12/15.32 cnf(matrix-1142, plain, ( ~class_Groups_Oab__group__add(_u2171) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2171), _u2172, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2171))) = _u2172) )).
% 15.12/15.32 cnf(matrix-1143, plain, ( ~class_Groups_Oab__group__add(_u2173) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2173), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2173)), _u2174) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2173), _u2174)) )).
% 15.12/15.32 cnf(matrix-1144, plain, ( ~class_Rings_Ocomm__semiring__0(_u2175) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2175)), _u2176), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2175))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2175))) )).
% 15.12/15.32 cnf(matrix-1145, plain, ( ~class_Rings_Ocomm__semiring__0(_u2177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2177)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2177))), _u2178) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2177))) )).
% 15.12/15.32 cnf(matrix-1146, plain, ( ~class_Int_Oring__char__0(_u2179) | ~class_Rings_Oidom(_u2179) | ( c_Polynomial_Opoly(_u2179, _u2180) != c_Polynomial_Opoly(_u2179, _u2181)) | ( _u2180 = _u2181) )).
% 15.12/15.32 cnf(matrix-1147, plain, ( ~class_Int_Oring__char__0(_u2179) | ~class_Rings_Oidom(_u2179) | ( _u2180 != _u2181) | ( c_Polynomial_Opoly(_u2179, _u2180) = c_Polynomial_Opoly(_u2179, _u2181)) )).
% 15.12/15.32 cnf(matrix-1148, plain, ( ~class_Groups_Ozero(_u2182) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) != c_Polynomial_OpCons(_u2182, _u2185, _u2186)) | ( _u2183 = _u2185) )).
% 15.12/15.32 cnf(matrix-1149, plain, ( ~class_Groups_Ozero(_u2182) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) != c_Polynomial_OpCons(_u2182, _u2185, _u2186)) | ( _u2184 = _u2186) )).
% 15.12/15.32 cnf(matrix-1150, plain, ( ~class_Groups_Ozero(_u2182) | ( _u2183 != _u2185) | ( _u2184 != _u2186) | ( c_Polynomial_OpCons(_u2182, _u2183, _u2184) = c_Polynomial_OpCons(_u2182, _u2185, _u2186)) )).
% 15.12/15.32 cnf(matrix-1151, plain, ( ~class_Rings_Ocomm__ring(_u2187) | ( c_Polynomial_Osmult(_u2187, _u2188, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2187), _u2189, _u2190)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2187), c_Polynomial_Osmult(_u2187, _u2188, _u2189), c_Polynomial_Osmult(_u2187, _u2188, _u2190))) )).
% 15.12/15.32 cnf(matrix-1152, plain, ( ~class_Rings_Ocomm__ring(_u2191) | ( c_Polynomial_Osmult(_u2191, _u2192, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2191), _u2193)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2191), c_Polynomial_Osmult(_u2191, _u2192, _u2193))) )).
% 15.12/15.32 cnf(matrix-1153, plain, ( ~class_Rings_Ocomm__semiring__0(_u2194) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2194)), c_Polynomial_Osmult(_u2194, _u2195, _u2196)), _u2197) = c_Polynomial_Osmult(_u2194, _u2195, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2194)), _u2196), _u2197))) )).
% 15.12/15.32 cnf(matrix-1154, plain, ( ~class_Rings_Ocomm__semiring__0(_u2198) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2198)), _u2199), c_Polynomial_Osmult(_u2198, _u2200, _u2201)) = c_Polynomial_Osmult(_u2198, _u2200, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2198)), _u2199), _u2201))) )).
% 15.12/15.32 cnf(matrix-1155, plain, ( ~class_Rings_Ocomm__semiring__0(_u2202) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2202), _u2203, _u2204)), _u2205) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2202), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), _u2203), _u2205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2202)), _u2204), _u2205))) )).
% 15.12/15.32 cnf(matrix-1156, plain, ( ~class_Groups_Ozero(_u2206) | ( c_Polynomial_Omonom(_u2206, _u2207, _u2208) != c_Polynomial_Omonom(_u2206, _u2209, _u2208)) | ( _u2207 = _u2209) )).
% 15.12/15.32 cnf(matrix-1157, plain, ( ~class_Groups_Ozero(_u2206) | ( _u2207 != _u2209) | ( c_Polynomial_Omonom(_u2206, _u2207, _u2208) = c_Polynomial_Omonom(_u2206, _u2209, _u2208)) )).
% 15.12/15.32 cnf(matrix-1158, plain, ( ~class_Rings_Ocomm__semiring__0(_u2210) | ( hAPP(c_Polynomial_Opoly(_u2210, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2210)), _u2211), _u2212)), _u2213) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2210), hAPP(c_Polynomial_Opoly(_u2210, _u2211), _u2213)), hAPP(c_Polynomial_Opoly(_u2210, _u2212), _u2213))) )).
% 15.12/15.32 cnf(matrix-1159, plain, ( ~class_Rings_Ocomm__semiring__1(_u2214) | ( hAPP(c_Polynomial_Opoly(_u2214, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2214))), _u2215) = c_Groups_Oone__class_Oone(_u2214)) )).
% 15.12/15.32 cnf(matrix-1160, plain, ( ~class_Rings_Ocomm__ring(_u2216) | ( hAPP(c_Polynomial_Opoly(_u2216, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2216), _u2217, _u2218)), _u2219) = c_Groups_Ominus__class_Ominus(_u2216, hAPP(c_Polynomial_Opoly(_u2216, _u2217), _u2219), hAPP(c_Polynomial_Opoly(_u2216, _u2218), _u2219))) )).
% 15.12/15.32 cnf(matrix-1161, plain, ( ~class_Rings_Ocomm__ring(_u2220) | ( hAPP(c_Polynomial_Opoly(_u2220, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2220), _u2221)), _u2222) = c_Groups_Ouminus__class_Ouminus(_u2220, hAPP(c_Polynomial_Opoly(_u2220, _u2221), _u2222))) )).
% 15.12/15.32 cnf(matrix-1162, plain, ( ~class_Rings_Ocomm__semiring__1(_u2223) | ( hAPP(c_Polynomial_Opoly(_u2223, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2223)), _u2224), _u2225)), _u2226) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2223), hAPP(c_Polynomial_Opoly(_u2223, _u2224), _u2226)), _u2225)) )).
% 15.12/15.32 cnf(matrix-1163, plain, ( ~class_Groups_Oab__group__add(_u2227) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2227), c_Polynomial_OpCons(_u2227, _u2228, _u2229), c_Polynomial_OpCons(_u2227, _u2230, _u2231)) = c_Polynomial_OpCons(_u2227, c_Groups_Ominus__class_Ominus(_u2227, _u2228, _u2230), c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2227), _u2229, _u2231))) )).
% 15.12/15.32 cnf(matrix-1164, plain, ( ~class_Rings_Ocomm__semiring__0(_u2232) | ( c_Polynomial_Osmult(_u2232, _u2233, c_Polynomial_Osmult(_u2232, _u2234, _u2235)) = c_Polynomial_Osmult(_u2232, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2232), _u2233), _u2234), _u2235)) )).
% 15.12/15.32 cnf(matrix-1165, plain, ( ~class_Rings_Ocomm__semiring__1(_u2236) | ( c_Polynomial_Osmult(_u2236, c_Groups_Oone__class_Oone(_u2236), _u2237) = _u2237) )).
% 15.12/15.32 cnf(matrix-1166, 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))) )).
% 15.12/15.32 cnf(matrix-1167, plain, ( ~class_Groups_Oab__group__add(_u2241) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2241), c_Polynomial_OpCons(_u2241, _u2242, _u2243)) = c_Polynomial_OpCons(_u2241, c_Groups_Ouminus__class_Ouminus(_u2241, _u2242), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2241), _u2243))) )).
% 15.12/15.32 cnf(matrix-1168, plain, ( ~class_Rings_Ocomm__ring(_u2244) | ( c_Polynomial_Osmult(_u2244, c_Groups_Ominus__class_Ominus(_u2244, _u2245, _u2246), _u2247) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2244), c_Polynomial_Osmult(_u2244, _u2245, _u2247), c_Polynomial_Osmult(_u2244, _u2246, _u2247))) )).
% 15.12/15.32 cnf(matrix-1169, plain, ( ~class_Rings_Ocomm__ring(_u2248) | ( c_Polynomial_Osmult(_u2248, c_Groups_Ouminus__class_Ouminus(_u2248, _u2249), _u2250) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2248), c_Polynomial_Osmult(_u2248, _u2249, _u2250))) )).
% 15.12/15.32 cnf(matrix-1170, plain, ( ~class_Int_Oring__char__0(_u2251) | ~class_Rings_Oidom(_u2251) | ( c_Polynomial_Opoly(_u2251, _u2252) != c_Polynomial_Opoly(_u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251)))) | ( _u2252 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251))) )).
% 15.12/15.32 cnf(matrix-1171, plain, ( ~class_Int_Oring__char__0(_u2251) | ~class_Rings_Oidom(_u2251) | ( _u2252 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251))) | ( c_Polynomial_Opoly(_u2251, _u2252) = c_Polynomial_Opoly(_u2251, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2251)))) )).
% 15.12/15.32 cnf(matrix-1172, plain, ( ~class_Rings_Ocomm__semiring__0(_u2253) | ( c_Polynomial_Osmult(_u2253, _u2254, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2253))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2253))) )).
% 15.12/15.32 cnf(matrix-1173, plain, ( ~class_Groups_Oab__group__add(_u2255) | ( c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2255), c_Polynomial_Omonom(_u2255, _u2256, _u2257), c_Polynomial_Omonom(_u2255, _u2258, _u2257)) = c_Polynomial_Omonom(_u2255, c_Groups_Ominus__class_Ominus(_u2255, _u2256, _u2258), _u2257)) )).
% 15.12/15.32 cnf(matrix-1174, plain, ( ~class_Groups_Oab__group__add(_u2259) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2259), c_Polynomial_Omonom(_u2259, _u2260, _u2261)) = c_Polynomial_Omonom(_u2259, c_Groups_Ouminus__class_Ouminus(_u2259, _u2260), _u2261)) )).
% 15.12/15.32 cnf(matrix-1175, plain, ( ~class_Groups_Ocomm__monoid__add(_u2262) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2262), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2262)), _u2263) = _u2263) )).
% 15.12/15.32 cnf(matrix-1176, plain, ( ~class_Groups_Ocomm__monoid__add(_u2264) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2264), _u2265, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2264))) = _u2265) )).
% 15.12/15.32 cnf(matrix-1177, plain, ( ~class_Rings_Ocomm__semiring__0(_u2266) | ( c_Polynomial_Osmult(_u2266, _u2267, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2266), _u2268, _u2269)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2266), c_Polynomial_Osmult(_u2266, _u2267, _u2268), c_Polynomial_Osmult(_u2266, _u2267, _u2269))) )).
% 15.12/15.32 cnf(matrix-1178, plain, ( ~class_Rings_Ocomm__semiring__0(_u2270) | ( hAPP(c_Polynomial_Opoly(_u2270, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2270))), _u2271) = c_Groups_Ozero__class_Ozero(_u2270)) )).
% 15.12/15.32 cnf(matrix-1179, 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))) )).
% 15.12/15.32 cnf(matrix-1180, plain, ( ~class_Groups_Ozero(_u2273) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2274 = c_Groups_Ozero__class_Ozero(_u2273)) )).
% 15.12/15.32 cnf(matrix-1181, plain, ( ~class_Groups_Ozero(_u2273) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( _u2275 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.12/15.32 cnf(matrix-1182, plain, ( ~class_Groups_Ozero(_u2273) | ( _u2274 != c_Groups_Ozero__class_Ozero(_u2273)) | ( _u2275 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) | ( c_Polynomial_OpCons(_u2273, _u2274, _u2275) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2273))) )).
% 15.12/15.32 cnf(matrix-1183, 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))) )).
% 15.12/15.32 cnf(matrix-1184, plain, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2279 = c_Groups_Ozero__class_Ozero(_u2278)) | ( _u2280 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) )).
% 15.12/15.32 cnf(matrix-1185, plain, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2279 != c_Groups_Ozero__class_Ozero(_u2278)) )).
% 15.12/15.32 cnf(matrix-1186, plain, ( ~class_Rings_Oidom(_u2278) | ( c_Polynomial_Osmult(_u2278, _u2279, _u2280) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) | ( _u2280 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2278))) )).
% 15.12/15.32 cnf(matrix-1187, plain, ( ~class_Rings_Ocomm__semiring__1(_u2281) | ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u2281)) = c_Polynomial_OpCons(_u2281, c_Groups_Oone__class_Oone(_u2281), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2281)))) )).
% 15.12/15.32 cnf(matrix-1188, plain, ( ~class_Rings_Ocomm__semiring__0(_u2282) | ( hAPP(c_Polynomial_Opoly(_u2282, c_Polynomial_Osmult(_u2282, _u2283, _u2284)), _u2285) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2282), _u2283), hAPP(c_Polynomial_Opoly(_u2282, _u2284), _u2285))) )).
% 15.12/15.32 cnf(matrix-1189, plain, ( ~class_Rings_Ocomm__semiring__0(_u2286) | ( c_Polynomial_Osmult(_u2286, _u2287, c_Polynomial_OpCons(_u2286, _u2288, _u2289)) = c_Polynomial_OpCons(_u2286, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2286), _u2287), _u2288), c_Polynomial_Osmult(_u2286, _u2287, _u2289))) )).
% 15.12/15.32 cnf(matrix-1190, plain, ( ~class_Rings_Ocomm__semiring__0(_u2290) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2290)), c_Polynomial_Omonom(_u2290, _u2291, _u2292)), c_Polynomial_Omonom(_u2290, _u2293, _u2294)) = c_Polynomial_Omonom(_u2290, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2290), _u2291), _u2293), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2292, _u2294))) )).
% 15.12/15.32 cnf(matrix-1191, plain, ( ~class_Groups_Ozero(_u2295) | ( c_Polynomial_Omonom(_u2295, c_Groups_Ozero__class_Ozero(_u2295), _u2296) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2295))) )).
% 15.12/15.32 cnf(matrix-1192, plain, ( ~class_Groups_Ozero(_u2297) | ( c_Polynomial_Omonom(_u2297, _u2298, _u2299) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2297))) | ( _u2298 = c_Groups_Ozero__class_Ozero(_u2297)) )).
% 15.12/15.32 cnf(matrix-1193, plain, ( ~class_Groups_Ozero(_u2297) | ( _u2298 != c_Groups_Ozero__class_Ozero(_u2297)) | ( c_Polynomial_Omonom(_u2297, _u2298, _u2299) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2297))) )).
% 15.12/15.32 cnf(matrix-1194, plain, ( ~class_Rings_Ocomm__semiring__0(_u2300) | ( hAPP(c_Polynomial_Opoly(_u2300, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2300), _u2301, _u2302)), _u2303) = c_Groups_Oplus__class_Oplus(_u2300, hAPP(c_Polynomial_Opoly(_u2300, _u2301), _u2303), hAPP(c_Polynomial_Opoly(_u2300, _u2302), _u2303))) )).
% 15.12/15.32 cnf(matrix-1195, plain, ( ~class_Groups_Ocomm__monoid__add(_u2304) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2304), c_Polynomial_OpCons(_u2304, _u2305, _u2306), c_Polynomial_OpCons(_u2304, _u2307, _u2308)) = c_Polynomial_OpCons(_u2304, c_Groups_Oplus__class_Oplus(_u2304, _u2305, _u2307), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2304), _u2306, _u2308))) )).
% 15.12/15.32 cnf(matrix-1196, plain, ( ~class_Rings_Ocomm__semiring__0(_u2309) | ( c_Polynomial_Osmult(_u2309, _u2310, _u2311) != c_Polynomial_OpCons(_u2309, _u2312, _u2311)) | ( _u2311 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2309))) )).
% 15.12/15.32 cnf(matrix-1197, plain, ( ~class_Rings_Ocomm__semiring__0(_u2313) | ( c_Polynomial_Osmult(_u2313, c_Groups_Oplus__class_Oplus(_u2313, _u2314, _u2315), _u2316) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2313), c_Polynomial_Osmult(_u2313, _u2314, _u2316), c_Polynomial_Osmult(_u2313, _u2315, _u2316))) )).
% 15.12/15.32 cnf(matrix-1198, plain, ( ~class_Rings_Ocomm__semiring__0(_u2317) | ( c_Polynomial_Osmult(_u2317, _u2318, c_Polynomial_Omonom(_u2317, _u2319, _u2320)) = c_Polynomial_Omonom(_u2317, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2317), _u2318), _u2319), _u2320)) )).
% 15.12/15.32 cnf(matrix-1199, plain, ( ~class_Groups_Ocomm__monoid__add(_u2321) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2321), c_Polynomial_Omonom(_u2321, _u2322, _u2323), c_Polynomial_Omonom(_u2321, _u2324, _u2323)) = c_Polynomial_Omonom(_u2321, c_Groups_Oplus__class_Oplus(_u2321, _u2322, _u2324), _u2323)) )).
% 15.12/15.32 cnf(matrix-1200, plain, ( ~class_Rings_Ocomm__semiring__0(_u2325) | ( hAPP(c_Polynomial_Opoly(_u2325, c_Polynomial_OpCons(_u2325, _u2326, _u2327)), _u2328) = c_Groups_Oplus__class_Oplus(_u2325, _u2326, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2325), _u2328), hAPP(c_Polynomial_Opoly(_u2325, _u2327), _u2328)))) )).
% 15.12/15.32 cnf(matrix-1201, plain, ( ~class_Rings_Ocomm__semiring__1(_u2329) | ( hAPP(c_Polynomial_Opoly(_u2329, c_Polynomial_Omonom(_u2329, _u2330, _u2331)), _u2332) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2329), _u2330), hAPP(hAPP(c_Power_Opower__class_Opower(_u2329), _u2332), _u2331))) )).
% 15.12/15.32 cnf(matrix-1202, plain, ( ~class_Rings_Ocomm__semiring__0(_u2333) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2333)), _u2334), c_Polynomial_OpCons(_u2333, _u2335, _u2336)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2333), c_Polynomial_Osmult(_u2333, _u2335, _u2334), c_Polynomial_OpCons(_u2333, c_Groups_Ozero__class_Ozero(_u2333), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2333)), _u2334), _u2336)))) )).
% 15.12/15.32 cnf(matrix-1203, plain, ( ~class_Rings_Ocomm__semiring__0(_u2337) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2337)), c_Polynomial_OpCons(_u2337, _u2338, _u2339)), _u2340) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2337), c_Polynomial_Osmult(_u2337, _u2338, _u2340), c_Polynomial_OpCons(_u2337, c_Groups_Ozero__class_Ozero(_u2337), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2337)), _u2339), _u2340)))) )).
% 15.12/15.32 cnf(matrix-1204, plain, ( ~class_Rings_Ocomm__ring__1(_u2341) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2341), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), c_Polynomial_OpCons(_u2341, c_Groups_Ouminus__class_Ouminus(_u2341, _u2342), c_Polynomial_OpCons(_u2341, c_Groups_Oone__class_Oone(_u2341), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))))), c_Polynomial_Osynthetic__div(_u2341, _u2343, _u2342)), c_Polynomial_OpCons(_u2341, hAPP(c_Polynomial_Opoly(_u2341, _u2343), _u2342), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341)))) = _u2343) )).
% 15.12/15.32 cnf(matrix-1205, plain, ( ~class_Rings_Ocomm__semiring__0(_u2344) | ( c_Polynomial_Opcompose(_u2344, c_Polynomial_OpCons(_u2344, _u2345, _u2346), _u2347) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2344), c_Polynomial_OpCons(_u2344, _u2345, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2344))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2344)), _u2347), c_Polynomial_Opcompose(_u2344, _u2346, _u2347)))) )).
% 15.12/15.32 cnf(matrix-1206, plain, ( ~class_Rings_Ocomm__semiring__0(_u2348) | ( c_Polynomial_Osynthetic__div(_u2348, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2348)), _u2349) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2348))) )).
% 15.12/15.32 cnf(matrix-1207, plain, ( ~class_Rings_Ocomm__semiring__0(_u2350) | ( c_Polynomial_Opcompose(_u2350, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2350)), _u2351) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2350))) )).
% 15.12/15.32 cnf(matrix-1208, plain, ( ~class_Rings_Ocomm__semiring__0(_u2352) | ( hAPP(c_Polynomial_Opoly(_u2352, c_Polynomial_Opcompose(_u2352, _u2353, _u2354)), _u2355) = hAPP(c_Polynomial_Opoly(_u2352, _u2353), hAPP(c_Polynomial_Opoly(_u2352, _u2354), _u2355))) )).
% 15.12/15.32 cnf(matrix-1209, plain, ( ~class_Rings_Ocomm__semiring__0(_u2356) | ( c_Polynomial_Osynthetic__div(_u2356, c_Polynomial_OpCons(_u2356, _u2357, _u2358), _u2359) = c_Polynomial_OpCons(_u2356, hAPP(c_Polynomial_Opoly(_u2356, _u2358), _u2359), c_Polynomial_Osynthetic__div(_u2356, _u2358, _u2359))) )).
% 15.12/15.32 cnf(matrix-1210, plain, ( ~class_Rings_Ocomm__semiring__0(_u2360) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2360), _u2361, c_Polynomial_Osmult(_u2360, _u2362, c_Polynomial_Osynthetic__div(_u2360, _u2361, _u2362))) = c_Polynomial_OpCons(_u2360, hAPP(c_Polynomial_Opoly(_u2360, _u2361), _u2362), c_Polynomial_Osynthetic__div(_u2360, _u2361, _u2362))) )).
% 15.12/15.32 cnf(matrix-1211, plain, ( ~class_Rings_Ocomm__semiring__0(_u2363) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2363), _u2364, c_Polynomial_Osmult(_u2363, _u2365, _u2366)) != c_Polynomial_OpCons(_u2363, _u2367, _u2366)) | ( _u2367 = hAPP(c_Polynomial_Opoly(_u2363, _u2364), _u2365)) )).
% 15.12/15.32 cnf(matrix-1212, plain, ( ~class_Rings_Ocomm__semiring__0(_u2363) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2363), _u2364, c_Polynomial_Osmult(_u2363, _u2365, _u2366)) != c_Polynomial_OpCons(_u2363, _u2367, _u2366)) | ( _u2366 = c_Polynomial_Osynthetic__div(_u2363, _u2364, _u2365)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 cnf(matrix-1216, plain, ( ~class_Orderings_Opreorder(_u2371) | c_Orderings_Oord__class_Oless__eq(_u2371, _u2372, _u2372) )).
% 15.12/15.32 cnf(matrix-1217, plain, ( ~class_Orderings_Oord(_u2375) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2376, _u2375), _u2377, _u2378) | c_Orderings_Oord__class_Oless__eq(_u2375, hAPP(_u2377, _u2373), hAPP(_u2378, _u2373)) )).
% 15.12/15.32 cnf(matrix-1218, plain, ( ~class_Orderings_Oord(_u2375) | ~c_Orderings_Oord__class_Oless__eq(_u2375, hAPP(_u2377, skolem22(_u2378, _u2377, _u2376, _u2375)), hAPP(_u2378, skolem22(_u2378, _u2377, _u2376, _u2375))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2376, _u2375), _u2377, _u2378) )).
% 15.12/15.32 cnf(matrix-1219, plain, ( ~class_Orderings_Olinorder(_u2379) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2380, _u2381) | c_Orderings_Oord__class_Oless__eq(_u2379, _u2381, _u2380) )).
% 15.12/15.32 cnf(matrix-1220, plain, ( ~class_Orderings_Oorder(_u2382) | ( _u2383 != _u2384) | c_Orderings_Oord__class_Oless__eq(_u2382, _u2383, _u2384) )).
% 15.12/15.32 cnf(matrix-1221, plain, ( ~class_Orderings_Oorder(_u2382) | ( _u2383 != _u2384) | c_Orderings_Oord__class_Oless__eq(_u2382, _u2384, _u2383) )).
% 15.12/15.32 cnf(matrix-1222, plain, ( ~class_Orderings_Oorder(_u2382) | ~c_Orderings_Oord__class_Oless__eq(_u2382, _u2383, _u2384) | ~c_Orderings_Oord__class_Oless__eq(_u2382, _u2384, _u2383) | ( _u2383 = _u2384) )).
% 15.12/15.32 cnf(matrix-1223, plain, ( ~class_Orderings_Opreorder(_u2385) | ( _u2386 != _u2387) | c_Orderings_Oord__class_Oless__eq(_u2385, _u2386, _u2387) )).
% 15.12/15.32 cnf(matrix-1224, plain, ( ~class_Orderings_Oord(_u2388) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2389, _u2388), _u2390, _u2391) | c_Orderings_Oord__class_Oless__eq(_u2388, hAPP(_u2390, _u2392), hAPP(_u2391, _u2392)) )).
% 15.12/15.32 cnf(matrix-1225, plain, ( ~class_Orderings_Oorder(_u2393) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2394, _u2395) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2395, _u2394) | ( _u2395 = _u2394) )).
% 15.12/15.32 cnf(matrix-1226, plain, ( ~class_Orderings_Oorder(_u2393) | ~c_Orderings_Oord__class_Oless__eq(_u2393, _u2394, _u2395) | ( _u2395 != _u2394) | c_Orderings_Oord__class_Oless__eq(_u2393, _u2395, _u2394) )).
% 15.12/15.32 cnf(matrix-1227, plain, ( ~class_Orderings_Oord(_u2396) | ( _u2397 != _u2398) | ~c_Orderings_Oord__class_Oless__eq(_u2396, _u2398, _u2399) | c_Orderings_Oord__class_Oless__eq(_u2396, _u2397, _u2399) )).
% 15.12/15.32 cnf(matrix-1228, plain, ( ~class_Orderings_Oorder(_u2400) | ( _u2401 != _u2402) | ~c_Orderings_Oord__class_Oless__eq(_u2400, _u2403, _u2402) | c_Orderings_Oord__class_Oless__eq(_u2400, _u2403, _u2401) )).
% 15.12/15.32 cnf(matrix-1229, plain, ( ~class_Orderings_Oord(_u2404) | ~c_Orderings_Oord__class_Oless__eq(_u2404, _u2405, _u2406) | ( _u2406 != _u2407) | c_Orderings_Oord__class_Oless__eq(_u2404, _u2405, _u2407) )).
% 15.12/15.32 cnf(matrix-1230, plain, ( ~class_Orderings_Oorder(_u2408) | ~c_Orderings_Oord__class_Oless__eq(_u2408, _u2409, _u2410) | ( _u2409 != _u2411) | c_Orderings_Oord__class_Oless__eq(_u2408, _u2411, _u2410) )).
% 15.12/15.32 cnf(matrix-1231, plain, ( ~class_Orderings_Oorder(_u2412) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2413, _u2414) | ~c_Orderings_Oord__class_Oless__eq(_u2412, _u2414, _u2413) | ( _u2413 = _u2414) )).
% 15.12/15.32 cnf(matrix-1232, plain, ( ~class_Orderings_Opreorder(_u2415) | ~c_Orderings_Oord__class_Oless__eq(_u2415, _u2416, _u2417) | ~c_Orderings_Oord__class_Oless__eq(_u2415, _u2417, _u2418) | c_Orderings_Oord__class_Oless__eq(_u2415, _u2416, _u2418) )).
% 15.12/15.32 cnf(matrix-1233, plain, ( ~class_Orderings_Oorder(_u2419) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2420, _u2421) | ~c_Orderings_Oord__class_Oless__eq(_u2419, _u2421, _u2420) | ( _u2421 = _u2420) )).
% 15.12/15.32 cnf(matrix-1234, plain, ( ~class_Orderings_Oorder(_u2422) | ~c_Orderings_Oord__class_Oless__eq(_u2422, _u2423, _u2424) | ~c_Orderings_Oord__class_Oless__eq(_u2422, _u2425, _u2423) | c_Orderings_Oord__class_Oless__eq(_u2422, _u2425, _u2424) )).
% 15.12/15.32 cnf(matrix-1235, plain, ( ~class_Orderings_Oord(_u2426) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2427, _u2426), _u2428, _u2429) | c_Orderings_Oord__class_Oless__eq(_u2426, hAPP(_u2428, _u2430), hAPP(_u2429, _u2430)) )).
% 15.12/15.32 cnf(matrix-1236, plain, ( ~class_Orderings_Olinorder(_u2431) | c_Orderings_Oord__class_Oless__eq(_u2431, _u2432, _u2433) | c_Orderings_Oord__class_Oless__eq(_u2431, _u2433, _u2432) )).
% 15.12/15.32 cnf(matrix-1237, plain, ( ~class_Orderings_Olinorder(_u2434) | c_Orderings_Oord__class_Oless(_u2434, _u2435, _u2436) | ( _u2435 = _u2436) | c_Orderings_Oord__class_Oless(_u2434, _u2436, _u2435) )).
% 15.12/15.32 cnf(matrix-1238, plain, ( ~class_Orderings_Opreorder(_u2437) | ~c_Orderings_Oord__class_Oless(_u2437, _u2438, _u2439) | ~c_Orderings_Oord__class_Oless(_u2437, _u2439, _u2438) )).
% 15.12/15.32 cnf(matrix-1239, plain, ( ~class_Orderings_Oorder(_u2440) | ~c_Orderings_Oord__class_Oless(_u2440, _u2441, _u2442) | ~c_Orderings_Oord__class_Oless(_u2440, _u2443, _u2441) | c_Orderings_Oord__class_Oless(_u2440, _u2443, _u2442) )).
% 15.12/15.32 cnf(matrix-1240, plain, ( ~class_Orderings_Opreorder(_u2444) | ~c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2446) | ~c_Orderings_Oord__class_Oless(_u2444, _u2446, _u2447) | c_Orderings_Oord__class_Oless(_u2444, _u2445, _u2447) )).
% 15.12/15.32 cnf(matrix-1241, plain, ( ~class_Orderings_Oorder(_u2448) | ~c_Orderings_Oord__class_Oless(_u2448, _u2449, _u2450) | ( _u2449 != _u2451) | c_Orderings_Oord__class_Oless(_u2448, _u2451, _u2450) )).
% 15.12/15.32 cnf(matrix-1242, plain, ( ~class_Orderings_Oord(_u2452) | ~c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2454) | ( _u2454 != _u2455) | c_Orderings_Oord__class_Oless(_u2452, _u2453, _u2455) )).
% 15.12/15.32 cnf(matrix-1243, plain, ( ~class_Orderings_Oorder(_u2456) | ( _u2457 != _u2458) | ~c_Orderings_Oord__class_Oless(_u2456, _u2459, _u2458) | c_Orderings_Oord__class_Oless(_u2456, _u2459, _u2457) )).
% 15.12/15.32 cnf(matrix-1244, plain, ( ~class_Orderings_Oord(_u2460) | ( _u2461 != _u2462) | ~c_Orderings_Oord__class_Oless(_u2460, _u2462, _u2463) | c_Orderings_Oord__class_Oless(_u2460, _u2461, _u2463) )).
% 15.12/15.32 cnf(matrix-1245, plain, ( ~class_Orderings_Oorder(_u2464) | ~c_Orderings_Oord__class_Oless(_u2464, _u2465, _u2466) | ~c_Orderings_Oord__class_Oless(_u2464, _u2466, _u2465) )).
% 15.12/15.32 cnf(matrix-1246, plain, ( ~class_Orderings_Opreorder(_u2467) | ~c_Orderings_Oord__class_Oless(_u2467, _u2468, _u2469) | ~c_Orderings_Oord__class_Oless(_u2467, _u2469, _u2468) )).
% 15.12/15.32 cnf(matrix-1247, plain, ( ~class_Orderings_Oorder(_u2470) | ~c_Orderings_Oord__class_Oless(_u2470, _u2471, _u2472) | ( _u2472 != _u2471) )).
% 15.12/15.32 cnf(matrix-1248, plain, ( ~class_Orderings_Oorder(_u2473) | ~c_Orderings_Oord__class_Oless(_u2473, _u2474, _u2475) | ( _u2474 != _u2475) )).
% 15.12/15.32 cnf(matrix-1249, plain, ( ~class_Orderings_Opreorder(_u2476) | ~c_Orderings_Oord__class_Oless(_u2476, _u2477, _u2478) | ~c_Orderings_Oord__class_Oless(_u2476, _u2478, _u2477) )).
% 15.12/15.32 cnf(matrix-1250, plain, ( ~class_Orderings_Opreorder(_u2479) | ~c_Orderings_Oord__class_Oless(_u2479, _u2480, _u2481) | ~c_Orderings_Oord__class_Oless(_u2479, _u2481, _u2480) )).
% 15.12/15.32 cnf(matrix-1251, plain, ( ~class_Orderings_Oorder(_u2482) | ~c_Orderings_Oord__class_Oless(_u2482, _u2483, _u2484) | ( _u2483 != _u2484) )).
% 15.12/15.32 cnf(matrix-1252, plain, ( ~class_Orderings_Olinorder(_u2485) | ( _u2486 = _u2487) | c_Orderings_Oord__class_Oless(_u2485, _u2486, _u2487) | c_Orderings_Oord__class_Oless(_u2485, _u2487, _u2486) )).
% 15.12/15.32 cnf(matrix-1253, plain, ( ~class_Orderings_Olinorder(_u2488) | c_Orderings_Oord__class_Oless(_u2488, _u2489, _u2490) | c_Orderings_Oord__class_Oless(_u2488, _u2490, _u2489) | ( _u2490 = _u2489) )).
% 15.12/15.32 cnf(matrix-1254, plain, ( ~class_Orderings_Olinorder(_u2488) | c_Orderings_Oord__class_Oless(_u2488, _u2489, _u2490) | ( _u2490 != _u2489) | ~c_Orderings_Oord__class_Oless(_u2488, _u2490, _u2489) )).
% 15.12/15.32 cnf(matrix-1255, plain, ( ~class_Orderings_Olinorder(_u2491) | c_Orderings_Oord__class_Oless(_u2491, _u2492, _u2493) | ( _u2492 = _u2493) | c_Orderings_Oord__class_Oless(_u2491, _u2493, _u2492) )).
% 15.12/15.32 cnf(matrix-1256, plain, ( ~class_Orderings_Olinorder(_u2494) | c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | c_Orderings_Oord__class_Oless(_u2494, _u2496, _u2495) | ( _u2495 = _u2496) )).
% 15.12/15.32 cnf(matrix-1257, plain, ( ~class_Orderings_Olinorder(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | ~c_Orderings_Oord__class_Oless(_u2494, _u2496, _u2495) )).
% 15.12/15.32 cnf(matrix-1258, plain, ( ~class_Orderings_Olinorder(_u2494) | ~c_Orderings_Oord__class_Oless(_u2494, _u2495, _u2496) | ( _u2495 != _u2496) )).
% 15.12/15.32 cnf(matrix-1259, plain, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 = _u2499) | c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) | c_Orderings_Oord__class_Oless(_u2497, _u2499, _u2498) )).
% 15.12/15.32 cnf(matrix-1260, plain, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 != _u2499) | ~c_Orderings_Oord__class_Oless(_u2497, _u2498, _u2499) )).
% 15.12/15.32 cnf(matrix-1261, plain, ( ~class_Orderings_Olinorder(_u2497) | ( _u2498 != _u2499) | ~c_Orderings_Oord__class_Oless(_u2497, _u2499, _u2498) )).
% 15.12/15.32 cnf(matrix-1262, plain, ( ~class_Orderings_Opreorder(_u2500) | ~c_Orderings_Oord__class_Oless(_u2500, _u2501, _u2501) )).
% 15.12/15.32 cnf(matrix-1263, plain, ( ~class_Orderings_Oorder(_u2502) | ~c_Orderings_Oord__class_Oless__eq(_u2502, _u2503, _u2504) | ~c_Orderings_Oord__class_Oless(_u2502, _u2505, _u2503) | c_Orderings_Oord__class_Oless(_u2502, _u2505, _u2504) )).
% 15.12/15.32 cnf(matrix-1264, plain, ( ~class_Orderings_Opreorder(_u2506) | ~c_Orderings_Oord__class_Oless__eq(_u2506, _u2507, _u2508) | ~c_Orderings_Oord__class_Oless(_u2506, _u2508, _u2509) | c_Orderings_Oord__class_Oless(_u2506, _u2507, _u2509) )).
% 15.12/15.32 cnf(matrix-1265, plain, ( ~class_Orderings_Oorder(_u2510) | ~c_Orderings_Oord__class_Oless(_u2510, _u2511, _u2512) | ~c_Orderings_Oord__class_Oless__eq(_u2510, _u2513, _u2511) | c_Orderings_Oord__class_Oless(_u2510, _u2513, _u2512) )).
% 15.12/15.32 cnf(matrix-1266, plain, ( ~class_Orderings_Opreorder(_u2514) | ~c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2516) | ~c_Orderings_Oord__class_Oless__eq(_u2514, _u2516, _u2517) | c_Orderings_Oord__class_Oless(_u2514, _u2515, _u2517) )).
% 15.12/15.32 cnf(matrix-1267, plain, ( ~class_Orderings_Oorder(_u2518) | ~c_Orderings_Oord__class_Oless__eq(_u2518, _u2519, _u2520) | ( _u2520 = _u2519) | c_Orderings_Oord__class_Oless(_u2518, _u2519, _u2520) )).
% 15.12/15.32 cnf(matrix-1268, plain, ( ~class_Orderings_Oorder(_u2521) | ~c_Orderings_Oord__class_Oless__eq(_u2521, _u2522, _u2523) | ( _u2522 = _u2523) | c_Orderings_Oord__class_Oless(_u2521, _u2522, _u2523) )).
% 15.12/15.32 cnf(matrix-1269, plain, ( ~class_Orderings_Oorder(_u2524) | ~c_Orderings_Oord__class_Oless__eq(_u2524, _u2525, _u2526) | c_Orderings_Oord__class_Oless(_u2524, _u2525, _u2526) | ( _u2525 = _u2526) )).
% 15.12/15.32 cnf(matrix-1270, plain, ( ~class_Orderings_Olinorder(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, _u2529) | c_Orderings_Oord__class_Oless(_u2527, _u2528, _u2529) | ( _u2528 = _u2529) )).
% 15.12/15.32 cnf(matrix-1271, plain, ( ~class_Orderings_Olinorder(_u2527) | ~c_Orderings_Oord__class_Oless__eq(_u2527, _u2528, _u2529) | ( _u2528 != _u2529) | ~c_Orderings_Oord__class_Oless(_u2527, _u2528, _u2529) )).
% 15.12/15.32 cnf(matrix-1272, plain, ( ~class_Orderings_Opreorder(_u2530) | ~c_Orderings_Oord__class_Oless(_u2530, _u2531, _u2532) | c_Orderings_Oord__class_Oless__eq(_u2530, _u2531, _u2532) )).
% 15.12/15.32 cnf(matrix-1273, plain, ( ~class_Orderings_Olinorder(_u2533) | ~c_Orderings_Oord__class_Oless__eq(_u2533, _u2534, _u2535) | ~c_Orderings_Oord__class_Oless(_u2533, _u2535, _u2534) )).
% 15.12/15.32 cnf(matrix-1274, plain, ( ~class_Orderings_Oorder(_u2536) | ( _u2537 = _u2538) | ~c_Orderings_Oord__class_Oless__eq(_u2536, _u2538, _u2537) | c_Orderings_Oord__class_Oless(_u2536, _u2538, _u2537) )).
% 15.12/15.32 cnf(matrix-1275, plain, ( ~class_Orderings_Oorder(_u2539) | ( _u2540 = _u2541) | ~c_Orderings_Oord__class_Oless__eq(_u2539, _u2540, _u2541) | c_Orderings_Oord__class_Oless(_u2539, _u2540, _u2541) )).
% 15.12/15.32 cnf(matrix-1276, plain, ( ~class_Orderings_Olinorder(_u2542) | c_Orderings_Oord__class_Oless(_u2542, _u2543, _u2544) | ~c_Orderings_Oord__class_Oless__eq(_u2542, _u2543, _u2544) | ( _u2543 = _u2544) )).
% 15.12/15.32 cnf(matrix-1277, plain, ( ~class_Orderings_Olinorder(_u2542) | c_Orderings_Oord__class_Oless(_u2542, _u2543, _u2544) | ( _u2543 != _u2544) | c_Orderings_Oord__class_Oless__eq(_u2542, _u2543, _u2544) )).
% 15.12/15.32 cnf(matrix-1278, plain, ( ~class_Orderings_Olinorder(_u2545) | c_Orderings_Oord__class_Oless__eq(_u2545, _u2546, _u2547) | c_Orderings_Oord__class_Oless(_u2545, _u2547, _u2546) )).
% 15.12/15.32 cnf(matrix-1279, plain, ( ~class_Orderings_Olinorder(_u2548) | c_Orderings_Oord__class_Oless(_u2548, _u2549, _u2550) | c_Orderings_Oord__class_Oless__eq(_u2548, _u2550, _u2549) )).
% 15.12/15.32 cnf(matrix-1280, plain, ( ~class_Orderings_Oorder(_u2551) | ~c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | c_Orderings_Oord__class_Oless(_u2551, _u2552, _u2553) | ( _u2552 = _u2553) )).
% 15.12/15.32 cnf(matrix-1281, plain, ( ~class_Orderings_Oorder(_u2551) | c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | ~c_Orderings_Oord__class_Oless(_u2551, _u2552, _u2553) )).
% 15.12/15.32 cnf(matrix-1282, plain, ( ~class_Orderings_Oorder(_u2551) | c_Orderings_Oord__class_Oless__eq(_u2551, _u2552, _u2553) | ( _u2552 != _u2553) )).
% 15.12/15.32 cnf(matrix-1283, plain, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) | c_Orderings_Oord__class_Oless__eq(_u2554, _u2555, _u2556) )).
% 15.12/15.32 cnf(matrix-1284, plain, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) | ~c_Orderings_Oord__class_Oless__eq(_u2554, _u2556, _u2555) )).
% 15.12/15.32 cnf(matrix-1285, plain, ( ~class_Orderings_Opreorder(_u2554) | ~c_Orderings_Oord__class_Oless__eq(_u2554, _u2555, _u2556) | c_Orderings_Oord__class_Oless__eq(_u2554, _u2556, _u2555) | c_Orderings_Oord__class_Oless(_u2554, _u2555, _u2556) )).
% 15.12/15.32 cnf(matrix-1286, plain, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) | c_Orderings_Oord__class_Oless__eq(_u2557, _u2558, _u2559) )).
% 15.12/15.32 cnf(matrix-1287, plain, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) | ( _u2558 != _u2559) )).
% 15.12/15.32 cnf(matrix-1288, plain, ( ~class_Orderings_Oorder(_u2557) | ~c_Orderings_Oord__class_Oless__eq(_u2557, _u2558, _u2559) | ( _u2558 = _u2559) | c_Orderings_Oord__class_Oless(_u2557, _u2558, _u2559) )).
% 15.12/15.32 cnf(matrix-1289, plain, ( ~class_Orderings_Olinorder(_u2560) | c_Orderings_Oord__class_Oless__eq(_u2560, _u2561, _u2562) | c_Orderings_Oord__class_Oless(_u2560, _u2562, _u2561) )).
% 15.12/15.32 cnf(matrix-1290, plain, ( ~class_Orderings_Olinorder(_u2563) | c_Orderings_Oord__class_Oless__eq(_u2563, _u2564, _u2565) | c_Orderings_Oord__class_Oless(_u2563, _u2565, _u2564) )).
% 15.12/15.32 cnf(matrix-1291, plain, ( ~class_Orderings_Olinorder(_u2563) | ~c_Orderings_Oord__class_Oless(_u2563, _u2565, _u2564) | ~c_Orderings_Oord__class_Oless__eq(_u2563, _u2564, _u2565) )).
% 15.12/15.32 cnf(matrix-1292, plain, ( ~class_Orderings_Olinorder(_u2566) | c_Orderings_Oord__class_Oless(_u2566, _u2567, _u2568) | c_Orderings_Oord__class_Oless__eq(_u2566, _u2568, _u2567) )).
% 15.12/15.32 cnf(matrix-1293, plain, ( ~class_Orderings_Olinorder(_u2566) | ~c_Orderings_Oord__class_Oless__eq(_u2566, _u2568, _u2567) | ~c_Orderings_Oord__class_Oless(_u2566, _u2567, _u2568) )).
% 15.12/15.32 cnf(matrix-1294, plain, ( ( skolem23 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1295, plain, ( ( skolem24 != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 15.12/15.32 cnf(matrix-1296, 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, skolem25), skolem23), 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____))) )).
% 15.12/15.32 cnf(matrix-1297, 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____)), _u2569) = 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), _u2569), skolem23)), hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, c_Polynomial_OpCons(tc_Complex_Ocomplex, skolem24, skolem25)), _u2569)))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 cnf(matrix-1299, plain, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2576, _u2577) )).
% 15.12/15.32 cnf(matrix-1300, plain, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2577, _u2576) )).
% 15.12/15.32 cnf(matrix-1301, plain, ( ~class_Orderings_Oord(_u2574) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2576, _u2577) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u2575, _u2574), _u2577, _u2576) | c_Orderings_Oord__class_Oless(tc_fun(_u2575, _u2574), _u2576, _u2577) )).
% 15.12/15.32 cnf(matrix-1302, plain, ( ( c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1303, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatceiling(_u2578)) )).
% 15.12/15.32 cnf(matrix-1304, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2579, _u2580) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2579), c_RComplete_Onatceiling(_u2580)) )).
% 15.12/15.32 cnf(matrix-1305, plain, ( ( c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1306, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2581, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u2581) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1307, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2583), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2583, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1308, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2584, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u2584), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1309, plain, ( ~class_Power_Opower(_u2585) | ( c_Power_Opower__class_Opower(_u2585) = c_Power_Opower_Opower(_u2585, c_Groups_Oone__class_Oone(_u2585), c_Groups_Otimes__class_Otimes(_u2585))) )).
% 15.12/15.32 cnf(matrix-1310, plain, ( ~class_RealVector_Oreal__algebra__1(_u2588) | ~class_RealVector_Oreal__normed__vector(_u2588) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem26(_u2588)) )).
% 15.12/15.32 cnf(matrix-1311, plain, ( ~class_RealVector_Oreal__algebra__1(_u2588) | ~class_RealVector_Oreal__normed__vector(_u2588) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2588, c_RealVector_Oof__real(_u2588, _u2586)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, _u2586)), skolem26(_u2588))) )).
% 15.12/15.32 cnf(matrix-1312, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2589, _u2590, _u2591), _u2592), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2590) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 cnf(matrix-1317, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2606) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem29(_u2606)) )).
% 15.12/15.32 cnf(matrix-1318, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2606) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2606, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2606), _u2604), _u2603)), 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(_u2606, _u2604)), c_RealVector_Onorm__class_Onorm(_u2606, _u2603))), skolem29(_u2606))) )).
% 15.12/15.32 cnf(matrix-1319, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2609) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem30(_u2610, _u2609)) )).
% 15.12/15.32 cnf(matrix-1320, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2609) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2609, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2609), _u2610), _u2607)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2609, _u2607)), skolem30(_u2610, _u2609))) )).
% 15.12/15.32 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____)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 cnf(matrix-1324, plain, ( ( c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1325, plain, ( ( c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1326, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatfloor(_u2614)) )).
% 15.12/15.32 cnf(matrix-1327, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2615, _u2616) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u2615), c_RComplete_Onatfloor(_u2616)) )).
% 15.12/15.32 cnf(matrix-1328, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2617, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u2617) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1329, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2619)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2619) )).
% 15.12/15.32 cnf(matrix-1330, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2620) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u2620)) )).
% 15.12/15.32 cnf(matrix-1331, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2621) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2622) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2621)), c_RComplete_Onatfloor(_u2622)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2621), _u2622))) )).
% 15.12/15.32 cnf(matrix-1332, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2625, _u2627) | ( c_Nat__Transfer_Otsub(_u2627, _u2625) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2627, _u2625)) )).
% 15.12/15.32 cnf(matrix-1333, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2626, _u2628) | ( c_Nat__Transfer_Otsub(_u2628, _u2626) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.32 cnf(matrix-1334, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2629, _u2630) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2629, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2630, _u2631)) )).
% 15.12/15.32 cnf(matrix-1335, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2632) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2633) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Nat__Transfer_Otsub(_u2632, _u2633)) )).
% 15.12/15.32 cnf(matrix-1336, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2634, _u2635) | ( c_Nat__Transfer_Otsub(_u2635, _u2634) = c_Groups_Ominus__class_Ominus(tc_Int_Oint, _u2635, _u2634)) )).
% 15.12/15.32 cnf(matrix-1337, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2636, _u2637) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2636, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2638, _u2637)) )).
% 15.12/15.32 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, _u2640, _u2641)) )).
% 15.12/15.32 cnf(matrix-1339, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2642, _u2643) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2642, _u2643) )).
% 15.12/15.32 cnf(matrix-1340, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2644, _u2645) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2644, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2646, _u2645)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 cnf(matrix-1348, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2655), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1349, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2658), c_RealDef_Oreal(tc_Nat_Onat, _u2660)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2658, _u2660) )).
% 15.12/15.32 cnf(matrix-1350, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2659, _u2661) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2659), c_RealDef_Oreal(tc_Nat_Onat, _u2661)) )).
% 15.12/15.32 cnf(matrix-1351, plain, ( ~class_Rings_Olinordered__idom(_u2662) | ~c_Polynomial_Opos__poly(_u2662, _u2663) | ~c_Polynomial_Opos__poly(_u2662, _u2664) | c_Polynomial_Opos__poly(_u2662, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2662), _u2663, _u2664)) )).
% 15.12/15.32 cnf(matrix-1352, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2665), _u2666)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2665)), c_RealDef_Oreal(tc_Nat_Onat, _u2666))) )).
% 15.12/15.32 cnf(matrix-1353, plain, ( ~class_Rings_Olinordered__idom(_u2667) | ~c_Polynomial_Opos__poly(_u2667, _u2668) | ~c_Polynomial_Opos__poly(_u2667, _u2669) | c_Polynomial_Opos__poly(_u2667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2667)), _u2668), _u2669)) )).
% 15.12/15.32 cnf(matrix-1354, plain, ( ~class_Rings_Olinordered__idom(_u2670) | ~c_Polynomial_Opos__poly(_u2670, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2670))) )).
% 15.12/15.32 cnf(matrix-1355, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2672) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2672 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.32 cnf(matrix-1356, plain, ( ( _u2673 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2673) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1357, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1358, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u2676) != c_RealDef_Oreal(tc_Nat_Onat, _u2678)) | ( _u2676 = _u2678) )).
% 15.12/15.32 cnf(matrix-1359, plain, ( ( _u2677 != _u2679) | ( c_RealDef_Oreal(tc_Nat_Onat, _u2677) = c_RealDef_Oreal(tc_Nat_Onat, _u2679)) )).
% 15.12/15.32 cnf(matrix-1360, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2680, _u2681)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2680), c_RealDef_Oreal(tc_Nat_Onat, _u2681))) )).
% 15.12/15.32 cnf(matrix-1361, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.32 cnf(matrix-1362, plain, ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2682)) = c_RealDef_Oreal(tc_Nat_Onat, _u2682)) )).
% 15.12/15.32 cnf(matrix-1363, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2683)), _u2684) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2683), _u2684))) )).
% 15.12/15.32 cnf(matrix-1364, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2685), _u2686)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2685)), _u2686)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 cnf(matrix-1367, plain, ( ~class_Rings_Olinordered__idom(_u2690) | ~c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ( _u2691 = _u2692) | c_Polynomial_Opos__poly(_u2690, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2690), _u2692, _u2691)) )).
% 15.12/15.32 cnf(matrix-1368, plain, ( ~class_Rings_Olinordered__idom(_u2690) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ( _u2691 != _u2692) )).
% 15.12/15.32 cnf(matrix-1369, plain, ( ~class_Rings_Olinordered__idom(_u2690) | c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(_u2690), _u2691, _u2692) | ~c_Polynomial_Opos__poly(_u2690, c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(_u2690), _u2692, _u2691)) )).
% 15.12/15.32 cnf(matrix-1370, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2693, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u2693))) )).
% 15.12/15.32 cnf(matrix-1371, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2696), c_RealDef_Oreal(tc_Nat_Onat, _u2698)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2696, _u2698) )).
% 15.12/15.32 cnf(matrix-1372, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2697, _u2699) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u2697), c_RealDef_Oreal(tc_Nat_Onat, _u2699)) )).
% 15.12/15.32 cnf(matrix-1373, plain, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u2700)) = _u2700) )).
% 15.12/15.32 cnf(matrix-1374, plain, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u2701)) = _u2701) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 cnf(matrix-1414, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2778) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2778), _u2779), _u2779) = _u2779) )).
% 15.12/15.32 cnf(matrix-1415, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u2780) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2780), _u2781), _u2781) = _u2781) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 cnf(matrix-1417, plain, ( ~class_Lattices_Oboolean__algebra(_u2785) | ( c_Groups_Ouminus__class_Ouminus(_u2785, c_Groups_Ouminus__class_Ouminus(_u2785, _u2786)) = _u2786) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)))) )).
% 15.12/15.32 cnf(matrix-1425, plain, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), c_Groups_Osgn__class_Osgn(_u2799, _u2800)) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), _u2800) )).
% 15.12/15.32 cnf(matrix-1426, plain, ( ~class_Rings_Olinordered__idom(_u2799) | ~c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), _u2800) | c_Orderings_Oord__class_Oless(_u2799, c_Groups_Ozero__class_Ozero(_u2799), c_Groups_Osgn__class_Osgn(_u2799, _u2800)) )).
% 15.12/15.32 cnf(matrix-1427, plain, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Osgn__class_Osgn(_u2801, _u2802), c_Groups_Ozero__class_Ozero(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Ozero__class_Ozero(_u2801)) )).
% 15.12/15.32 cnf(matrix-1428, plain, ( ~class_Rings_Olinordered__idom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Ozero__class_Ozero(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, c_Groups_Osgn__class_Osgn(_u2801, _u2802), c_Groups_Ozero__class_Ozero(_u2801)) )).
% 15.12/15.32 cnf(matrix-1429, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u2803) | ( c_Groups_Osgn__class_Osgn(_u2803, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2803), _u2804), _u2805)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2803), c_Groups_Osgn__class_Osgn(_u2803, _u2804)), c_Groups_Osgn__class_Osgn(_u2803, _u2805))) )).
% 15.12/15.32 cnf(matrix-1430, plain, ( ~class_Rings_Olinordered__idom(_u2806) | ( c_Groups_Osgn__class_Osgn(_u2806, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), _u2807), _u2808)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2806), c_Groups_Osgn__class_Osgn(_u2806, _u2807)), c_Groups_Osgn__class_Osgn(_u2806, _u2808))) )).
% 15.12/15.32 cnf(matrix-1431, plain, ( ~class_Groups_Osgn__if(_u2809) | ( c_Groups_Osgn__class_Osgn(_u2809, c_Groups_Ozero__class_Ozero(_u2809)) = c_Groups_Ozero__class_Ozero(_u2809)) )).
% 15.12/15.32 cnf(matrix-1432, plain, ( ~class_RealVector_Oreal__normed__vector(_u2810) | ( c_Groups_Osgn__class_Osgn(_u2810, _u2811) != c_Groups_Ozero__class_Ozero(_u2810)) | ( _u2811 = c_Groups_Ozero__class_Ozero(_u2810)) )).
% 15.12/15.32 cnf(matrix-1433, plain, ( ~class_RealVector_Oreal__normed__vector(_u2810) | ( _u2811 != c_Groups_Ozero__class_Ozero(_u2810)) | ( c_Groups_Osgn__class_Osgn(_u2810, _u2811) = c_Groups_Ozero__class_Ozero(_u2810)) )).
% 15.12/15.32 cnf(matrix-1434, plain, ( ~class_Rings_Olinordered__idom(_u2812) | ( c_Groups_Osgn__class_Osgn(_u2812, _u2813) != c_Groups_Ozero__class_Ozero(_u2812)) | ( _u2813 = c_Groups_Ozero__class_Ozero(_u2812)) )).
% 15.12/15.32 cnf(matrix-1435, plain, ( ~class_Rings_Olinordered__idom(_u2812) | ( _u2813 != c_Groups_Ozero__class_Ozero(_u2812)) | ( c_Groups_Osgn__class_Osgn(_u2812, _u2813) = c_Groups_Ozero__class_Ozero(_u2812)) )).
% 15.12/15.32 cnf(matrix-1436, plain, ( ~class_RealVector_Oreal__normed__vector(_u2814) | ( c_Groups_Osgn__class_Osgn(_u2814, c_Groups_Ozero__class_Ozero(_u2814)) = c_Groups_Ozero__class_Ozero(_u2814)) )).
% 15.12/15.32 cnf(matrix-1437, plain, ( ~class_Rings_Olinordered__idom(_u2815) | ( c_Groups_Osgn__class_Osgn(_u2815, c_Groups_Osgn__class_Osgn(_u2815, _u2816)) = c_Groups_Osgn__class_Osgn(_u2815, _u2816)) )).
% 15.12/15.32 cnf(matrix-1438, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u2817) | ( c_Groups_Osgn__class_Osgn(_u2817, c_RealVector_Oof__real(_u2817, _u2818)) = c_RealVector_Oof__real(_u2817, c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2818))) )).
% 15.12/15.32 cnf(matrix-1439, plain, ( ~class_Rings_Olinordered__idom(_u2819) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2819), c_Groups_Osgn__class_Osgn(_u2819, _u2820)), c_Groups_Oabs__class_Oabs(_u2819, _u2820)) = _u2820) )).
% 15.12/15.32 cnf(matrix-1440, plain, ( ~class_Rings_Olinordered__idom(_u2821) | ( c_Groups_Oabs__class_Oabs(_u2821, _u2822) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2821), _u2822), c_Groups_Osgn__class_Osgn(_u2821, _u2822))) )).
% 15.12/15.32 cnf(matrix-1441, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u2823) | ( c_Groups_Osgn__class_Osgn(_u2823, c_Groups_Oone__class_Oone(_u2823)) = c_Groups_Oone__class_Oone(_u2823)) )).
% 15.12/15.32 cnf(matrix-1442, plain, ( ~class_RealVector_Oreal__normed__vector(_u2824) | ( c_Groups_Osgn__class_Osgn(_u2824, c_Groups_Ouminus__class_Ouminus(_u2824, _u2825)) = c_Groups_Ouminus__class_Ouminus(_u2824, c_Groups_Osgn__class_Osgn(_u2824, _u2825))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)))) )).
% 15.12/15.32 cnf(matrix-1456, plain, ( ~class_Rings_Ocomm__semiring__1(_u2845) | c_Rings_Odvd__class_Odvd(_u2845, _u2846, c_Groups_Ozero__class_Ozero(_u2845)) )).
% 15.12/15.32 cnf(matrix-1457, plain, ( ~class_Rings_Ocomm__ring__1(_u2847) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2849) | ~c_Rings_Odvd__class_Odvd(_u2847, _u2848, _u2850) | c_Rings_Odvd__class_Odvd(_u2847, _u2848, c_Groups_Ominus__class_Ominus(_u2847, _u2849, _u2850)) )).
% 15.12/15.32 cnf(matrix-1458, plain, ( ~class_Rings_Ocomm__ring__1(_u2851) | ~c_Rings_Odvd__class_Odvd(_u2851, c_Groups_Ouminus__class_Ouminus(_u2851, _u2852), _u2853) | c_Rings_Odvd__class_Odvd(_u2851, _u2852, _u2853) )).
% 15.12/15.32 cnf(matrix-1459, plain, ( ~class_Rings_Ocomm__ring__1(_u2851) | ~c_Rings_Odvd__class_Odvd(_u2851, _u2852, _u2853) | c_Rings_Odvd__class_Odvd(_u2851, c_Groups_Ouminus__class_Ouminus(_u2851, _u2852), _u2853) )).
% 15.12/15.32 cnf(matrix-1460, plain, ( ~class_Rings_Ocomm__ring__1(_u2854) | ~c_Rings_Odvd__class_Odvd(_u2854, _u2855, c_Groups_Ouminus__class_Ouminus(_u2854, _u2856)) | c_Rings_Odvd__class_Odvd(_u2854, _u2855, _u2856) )).
% 15.12/15.32 cnf(matrix-1461, plain, ( ~class_Rings_Ocomm__ring__1(_u2854) | ~c_Rings_Odvd__class_Odvd(_u2854, _u2855, _u2856) | c_Rings_Odvd__class_Odvd(_u2854, _u2855, c_Groups_Ouminus__class_Ouminus(_u2854, _u2856)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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)) )).
% 15.12/15.32 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) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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))) )).
% 15.12/15.32 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)))) )).
% 15.12/15.32 cnf(matrix-1474, plain, ( ~class_Rings_Olinordered__idom(_u2888) | ( c_Groups_Oabs__class_Oabs(_u2888, _u2889) != c_Groups_Oabs__class_Oabs(_u2888, _u2890)) | c_Rings_Odvd__class_Odvd(_u2888, _u2889, _u2890) )).
% 15.12/15.32 cnf(matrix-1475, plain, ( ~class_Rings_Olinordered__idom(_u2891) | ~c_Rings_Odvd__class_Odvd(_u2891, c_Groups_Oabs__class_Oabs(_u2891, _u2892), _u2893) | c_Rings_Odvd__class_Odvd(_u2891, _u2892, _u2893) )).
% 15.12/15.32 cnf(matrix-1476, plain, ( ~class_Rings_Olinordered__idom(_u2891) | ~c_Rings_Odvd__class_Odvd(_u2891, _u2892, _u2893) | c_Rings_Odvd__class_Odvd(_u2891, c_Groups_Oabs__class_Oabs(_u2891, _u2892), _u2893) )).
% 15.12/15.32 cnf(matrix-1477, plain, ( ~class_Rings_Olinordered__idom(_u2894) | ~c_Rings_Odvd__class_Odvd(_u2894, _u2895, c_Groups_Oabs__class_Oabs(_u2894, _u2896)) | c_Rings_Odvd__class_Odvd(_u2894, _u2895, _u2896) )).
% 15.12/15.32 cnf(matrix-1478, plain, ( ~class_Rings_Olinordered__idom(_u2894) | ~c_Rings_Odvd__class_Odvd(_u2894, _u2895, _u2896) | c_Rings_Odvd__class_Odvd(_u2894, _u2895, c_Groups_Oabs__class_Oabs(_u2894, _u2896)) )).
% 15.12/15.32 cnf(matrix-1479, plain, ( ~class_Rings_Ocomm__semiring__1(_u2897) | ~c_Rings_Odvd__class_Odvd(_u2897, _u2898, _u2899) | c_Rings_Odvd__class_Odvd(_u2897, hAPP(hAPP(c_Power_Opower__class_Opower(_u2897), _u2898), _u2900), hAPP(hAPP(c_Power_Opower__class_Opower(_u2897), _u2899), _u2900)) )).
% 15.12/15.32 cnf(matrix-1480, plain, ( ~class_Rings_Ocomm__semiring__1(_u2901) | c_Rings_Odvd__class_Odvd(_u2901, c_Groups_Oone__class_Oone(_u2901), _u2902) )).
% 15.12/15.32 cnf(matrix-1481, plain, ( ~class_Rings_Ocomm__semiring__0(_u2903) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2903, _u2904, _u2905) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) | ( _u2904 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) )).
% 15.12/15.32 cnf(matrix-1482, plain, ( ~class_Rings_Ocomm__semiring__0(_u2903) | ( _u2904 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2903, _u2904, _u2905) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2903))) )).
% 15.12/15.32 cnf(matrix-1483, plain, ( ~class_Rings_Ocomm__semiring__0(_u2906) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(_u2906, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2906)), _u2907) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2906))) )).
% 15.12/15.32 cnf(matrix-1484, plain, ( ~class_Rings_Ocomm__semiring__1(_u2908) | ~c_Rings_Odvd__class_Odvd(_u2908, _u2909, _u2910) | ~c_Rings_Odvd__class_Odvd(_u2908, _u2909, _u2911) | c_Rings_Odvd__class_Odvd(_u2908, _u2909, c_Groups_Oplus__class_Oplus(_u2908, _u2910, _u2911)) )).
% 15.12/15.32 cnf(matrix-1485, plain, ( ~class_Rings_Ocomm__semiring__1(_u2912) | ~c_Rings_Odvd__class_Odvd(_u2912, _u2913, _u2914) | ~c_Rings_Odvd__class_Odvd(_u2912, _u2914, _u2915) | c_Rings_Odvd__class_Odvd(_u2912, _u2913, _u2915) )).
% 15.12/15.32 cnf(matrix-1486, plain, ( ~class_Rings_Ocomm__semiring__1(_u2916) | c_Rings_Odvd__class_Odvd(_u2916, _u2917, _u2917) )).
% 15.12/15.32 cnf(matrix-1487, plain, ( ~class_Rings_Ocomm__semiring__1(_u2918) | ~c_Rings_Odvd__class_Odvd(_u2918, c_Groups_Ozero__class_Ozero(_u2918), _u2919) | ( _u2919 = c_Groups_Ozero__class_Ozero(_u2918)) )).
% 15.12/15.32 cnf(matrix-1488, plain, ( ~class_Rings_Oidom(_u2920) | ~c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ( _u2921 = c_Groups_Ozero__class_Ozero(_u2920)) | c_Rings_Odvd__class_Odvd(_u2920, _u2922, _u2923) )).
% 15.12/15.32 cnf(matrix-1489, plain, ( ~class_Rings_Oidom(_u2920) | c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ( _u2921 != c_Groups_Ozero__class_Ozero(_u2920)) )).
% 15.12/15.32 cnf(matrix-1490, plain, ( ~class_Rings_Oidom(_u2920) | c_Rings_Odvd__class_Odvd(_u2920, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2922), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2920), _u2921), _u2923)) | ~c_Rings_Odvd__class_Odvd(_u2920, _u2922, _u2923) )).
% 15.12/15.32 cnf(matrix-1491, plain, ( ~class_Rings_Oidom(_u2924) | ~c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ( _u2926 = c_Groups_Ozero__class_Ozero(_u2924)) | c_Rings_Odvd__class_Odvd(_u2924, _u2925, _u2927) )).
% 15.12/15.32 cnf(matrix-1492, plain, ( ~class_Rings_Oidom(_u2924) | c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ( _u2926 != c_Groups_Ozero__class_Ozero(_u2924)) )).
% 15.12/15.32 cnf(matrix-1493, plain, ( ~class_Rings_Oidom(_u2924) | c_Rings_Odvd__class_Odvd(_u2924, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2925), _u2926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2924), _u2927), _u2926)) | ~c_Rings_Odvd__class_Odvd(_u2924, _u2925, _u2927) )).
% 15.12/15.32 cnf(matrix-1494, plain, ( ~class_Rings_Ocomm__semiring__1(_u2928) | c_Rings_Odvd__class_Odvd(_u2928, _u2929, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2928), _u2929), _u2930)) )).
% 15.12/15.32 cnf(matrix-1495, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2931) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u2931)) )).
% 15.12/15.32 cnf(matrix-1496, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1497, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1498, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1499, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1500, plain, ( ~class_Lattices_Oboolean__algebra(_u2932) | class_Lattices_Oboolean__algebra(tc_fun(_u2933, _u2932)) )).
% 15.12/15.32 cnf(matrix-1501, plain, ( ~class_Orderings_Opreorder(_u2934) | class_Orderings_Opreorder(tc_fun(_u2935, _u2934)) )).
% 15.12/15.32 cnf(matrix-1502, plain, ( ~class_Orderings_Oorder(_u2936) | class_Orderings_Oorder(tc_fun(_u2937, _u2936)) )).
% 15.12/15.32 cnf(matrix-1503, plain, ( ~class_Orderings_Oord(_u2938) | class_Orderings_Oord(tc_fun(_u2939, _u2938)) )).
% 15.12/15.32 cnf(matrix-1504, plain, ( ~class_Groups_Ouminus(_u2940) | class_Groups_Ouminus(tc_fun(_u2941, _u2940)) )).
% 15.12/15.32 cnf(matrix-1505, plain, ( ~class_Groups_Ominus(_u2942) | class_Groups_Ominus(tc_fun(_u2943, _u2942)) )).
% 15.12/15.32 cnf(matrix-1506, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1507, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1508, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1509, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1510, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1511, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1512, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1513, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1514, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1515, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1516, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1517, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1518, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1519, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1520, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1521, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1522, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1523, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1524, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1525, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1526, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1527, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1528, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1529, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1530, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1531, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1532, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1533, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1534, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1535, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1536, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1537, plain, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1538, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1539, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1540, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1541, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1542, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1543, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1544, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1545, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1546, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1547, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1548, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1549, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1550, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1551, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1552, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1553, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1554, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1555, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1556, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1557, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1558, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1559, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1560, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1561, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1562, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1563, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1564, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1565, plain, ( class_Rings_Odvd(tc_Int_Oint) )).
% 15.12/15.32 cnf(matrix-1566, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1567, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1568, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1569, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1570, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1571, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1572, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1573, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1574, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1575, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1576, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1577, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1578, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1579, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1580, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1581, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1582, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1583, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1584, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1585, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1586, plain, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1587, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1588, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1589, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1590, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1591, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1592, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1593, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1594, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1595, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1596, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1597, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1598, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1599, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1600, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1601, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1602, plain, ( class_Rings_Odvd(tc_Nat_Onat) )).
% 15.12/15.32 cnf(matrix-1603, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1604, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1605, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1606, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1607, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1608, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 15.12/15.32 cnf(matrix-1609, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1610, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1611, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1612, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1613, plain, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1614, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1615, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1616, plain, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1617, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1618, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1619, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1620, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1621, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1622, plain, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1623, plain, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1624, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1625, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1626, plain, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1627, plain, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1628, plain, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1629, plain, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1630, plain, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1631, plain, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1632, plain, ( class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1633, plain, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1634, plain, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1635, plain, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1636, plain, ( class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1637, plain, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1638, plain, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1639, plain, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1640, plain, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1641, plain, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1642, plain, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1643, plain, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1644, plain, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1645, plain, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1646, plain, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1647, plain, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1648, plain, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1649, plain, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1650, plain, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1651, plain, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1652, plain, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1653, plain, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1654, plain, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1655, plain, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1656, plain, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1657, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1658, plain, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1659, plain, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1660, plain, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1661, plain, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1662, plain, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1663, plain, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1664, plain, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1665, plain, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1666, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1667, plain, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1668, plain, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1669, plain, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1670, plain, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1671, plain, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1672, plain, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1673, plain, ( class_Groups_Ominus(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1674, plain, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1675, plain, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1676, plain, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1677, plain, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1678, plain, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1679, plain, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1680, plain, ( class_Rings_Odvd(tc_RealDef_Oreal) )).
% 15.12/15.32 cnf(matrix-1681, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1682, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1683, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1684, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1685, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1686, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1687, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1688, plain, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1689, plain, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1690, plain, ( class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1691, plain, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1692, plain, ( class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1693, plain, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1694, plain, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1695, plain, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1696, plain, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1697, plain, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1698, plain, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1699, plain, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1700, plain, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1701, plain, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1702, plain, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1703, plain, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1704, plain, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1705, plain, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1706, plain, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1707, plain, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1708, plain, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1709, plain, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1710, plain, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1711, plain, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1712, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1713, plain, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1714, plain, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1715, plain, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1716, plain, ( class_Groups_Ominus(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1717, plain, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1718, plain, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1719, plain, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1720, plain, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1721, plain, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1722, plain, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1723, plain, ( class_Rings_Odvd(tc_Complex_Ocomplex) )).
% 15.12/15.32 cnf(matrix-1724, plain, ( ~class_Rings_Oidom(_u2944) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u2944)) )).
% 15.12/15.32 cnf(matrix-1725, plain, ( ~class_Rings_Olinordered__idom(_u2945) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2945)) )).
% 15.12/15.32 cnf(matrix-1726, plain, ( ~class_Rings_Olinordered__idom(_u2946) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u2946)) )).
% 15.12/15.32 cnf(matrix-1727, plain, ( ~class_Rings_Olinordered__idom(_u2947) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u2947)) )).
% 15.12/15.32 cnf(matrix-1728, plain, ( ~class_Rings_Olinordered__idom(_u2948) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u2948)) )).
% 15.12/15.32 cnf(matrix-1729, plain, ( ~class_Rings_Olinordered__idom(_u2949) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u2949)) )).
% 15.12/15.32 cnf(matrix-1730, plain, ( ~class_Rings_Olinordered__idom(_u2950) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u2950)) )).
% 15.12/15.32 cnf(matrix-1731, plain, ( ~class_Rings_Olinordered__idom(_u2951) | class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(_u2951)) )).
% 15.12/15.32 cnf(matrix-1732, plain, ( ~class_Rings_Olinordered__idom(_u2952) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u2952)) )).
% 15.12/15.32 cnf(matrix-1733, plain, ( ~class_Rings_Olinordered__idom(_u2953) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u2953)) )).
% 15.12/15.32 cnf(matrix-1734, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2954) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u2954)) )).
% 15.12/15.32 cnf(matrix-1735, plain, ( ~class_Rings_Oidom(_u2955) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u2955)) )).
% 15.12/15.32 cnf(matrix-1736, plain, ( ~class_Rings_Olinordered__idom(_u2956) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u2956)) )).
% 15.12/15.32 cnf(matrix-1737, plain, ( ~class_Rings_Olinordered__idom(_u2957) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u2957)) )).
% 15.12/15.32 cnf(matrix-1738, plain, ( ~class_Rings_Oidom(_u2958) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u2958)) )).
% 15.12/15.32 cnf(matrix-1739, plain, ( ~class_Rings_Olinordered__idom(_u2959) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u2959)) )).
% 15.12/15.32 cnf(matrix-1740, plain, ( ~class_Rings_Olinordered__idom(_u2960) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u2960)) )).
% 15.12/15.32 cnf(matrix-1741, plain, ( ~class_Rings_Olinordered__idom(_u2961) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u2961)) )).
% 15.12/15.32 cnf(matrix-1742, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u2962) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u2962)) )).
% 15.12/15.32 cnf(matrix-1743, plain, ( ~class_Rings_Olinordered__idom(_u2963) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u2963)) )).
% 15.12/15.32 cnf(matrix-1744, plain, ( ~class_Rings_Olinordered__idom(_u2964) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u2964)) )).
% 15.12/15.32 cnf(matrix-1745, plain, ( ~class_Rings_Ocomm__semiring__0(_u2965) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u2965)) )).
% 15.12/15.32 cnf(matrix-1746, plain, ( ~class_Rings_Ocomm__semiring__1(_u2966) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u2966)) )).
% 15.12/15.32 cnf(matrix-1747, plain, ( ~class_Groups_Ocomm__monoid__add(_u2967) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u2967)) )).
% 15.12/15.32 cnf(matrix-1748, plain, ( ~class_Rings_Olinordered__idom(_u2968) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u2968)) )).
% 15.12/15.32 cnf(matrix-1749, plain, ( ~class_Rings_Olinordered__idom(_u2969) | class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(_u2969)) )).
% 15.12/15.32 cnf(matrix-1750, plain, ( ~class_Rings_Oidom(_u2970) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u2970)) )).
% 15.12/15.32 cnf(matrix-1751, plain, ( ~class_Groups_Ocomm__monoid__add(_u2971) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u2971)) )).
% 15.12/15.32 cnf(matrix-1752, plain, ( ~class_Rings_Olinordered__idom(_u2972) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u2972)) )).
% 15.12/15.32 cnf(matrix-1753, plain, ( ~class_Rings_Olinordered__idom(_u2973) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u2973)) )).
% 15.12/15.32 cnf(matrix-1754, plain, ( ~class_Rings_Ocomm__semiring__1(_u2974) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u2974)) )).
% 15.12/15.32 cnf(matrix-1755, plain, ( ~class_Rings_Ocomm__semiring__0(_u2975) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u2975)) )).
% 15.12/15.32 cnf(matrix-1756, plain, ( ~class_Rings_Ocomm__semiring__0(_u2976) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u2976)) )).
% 15.12/15.32 cnf(matrix-1757, plain, ( ~class_Groups_Oab__group__add(_u2977) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u2977)) )).
% 15.12/15.32 cnf(matrix-1758, plain, ( ~class_Rings_Ocomm__semiring__1(_u2978) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u2978)) )).
% 15.12/15.32 cnf(matrix-1759, plain, ( ~class_Rings_Olinordered__idom(_u2979) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u2979)) )).
% 15.12/15.32 cnf(matrix-1760, plain, ( ~class_Rings_Olinordered__idom(_u2980) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u2980)) )).
% 15.12/15.32 cnf(matrix-1761, plain, ( ~class_Rings_Olinordered__idom(_u2981) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u2981)) )).
% 15.12/15.32 cnf(matrix-1762, plain, ( ~class_Rings_Ocomm__semiring__1(_u2982) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u2982)) )).
% 15.12/15.32 cnf(matrix-1763, plain, ( ~class_Rings_Ocomm__ring__1(_u2983) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u2983)) )).
% 15.12/15.32 cnf(matrix-1764, plain, ( ~class_Groups_Ocomm__monoid__add(_u2984) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u2984)) )).
% 15.12/15.32 cnf(matrix-1765, plain, ( ~class_Rings_Ocomm__semiring__0(_u2985) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u2985)) )).
% 15.12/15.32 cnf(matrix-1766, plain, ( ~class_Groups_Oab__group__add(_u2986) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u2986)) )).
% 15.12/15.32 cnf(matrix-1767, plain, ( ~class_Rings_Ocomm__semiring__0(_u2987) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u2987)) )).
% 15.12/15.32 cnf(matrix-1768, plain, ( ~class_Rings_Ocomm__ring(_u2988) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u2988)) )).
% 15.12/15.32 cnf(matrix-1769, plain, ( ~class_Rings_Olinordered__idom(_u2989) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u2989)) )).
% 15.12/15.32 cnf(matrix-1770, plain, ( ~class_Rings_Olinordered__idom(_u2990) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u2990)) )).
% 15.12/15.32 cnf(matrix-1771, plain, ( ~class_Rings_Ocomm__semiring__0(_u2991) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u2991)) )).
% 15.12/15.32 cnf(matrix-1772, plain, ( ~class_Rings_Olinordered__idom(_u2992) | class_Orderings_Oord(tc_Polynomial_Opoly(_u2992)) )).
% 15.12/15.32 cnf(matrix-1773, plain, ( ~class_Groups_Oab__group__add(_u2993) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u2993)) )).
% 15.12/15.32 cnf(matrix-1774, plain, ( ~class_Rings_Olinordered__idom(_u2994) | class_Groups_Osgn__if(tc_Polynomial_Opoly(_u2994)) )).
% 15.12/15.32 cnf(matrix-1775, plain, ( ~class_Rings_Olinordered__idom(_u2995) | class_Groups_Oabs__if(tc_Polynomial_Opoly(_u2995)) )).
% 15.12/15.32 cnf(matrix-1776, plain, ( ~class_Rings_Ocomm__ring__1(_u2996) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u2996)) )).
% 15.12/15.32 cnf(matrix-1777, plain, ( ~class_Groups_Oab__group__add(_u2997) | class_Groups_Ominus(tc_Polynomial_Opoly(_u2997)) )).
% 15.12/15.32 cnf(matrix-1778, plain, ( ~class_Rings_Ocomm__semiring__1(_u2998) | class_Power_Opower(tc_Polynomial_Opoly(_u2998)) )).
% 15.12/15.32 cnf(matrix-1779, plain, ( ~class_Groups_Ozero(_u2999) | class_Groups_Ozero(tc_Polynomial_Opoly(_u2999)) )).
% 15.12/15.32 cnf(matrix-1780, plain, ( ~class_Rings_Ocomm__ring(_u3000) | class_Rings_Oring(tc_Polynomial_Opoly(_u3000)) )).
% 15.12/15.32 cnf(matrix-1781, plain, ( ~class_Rings_Oidom(_u3001) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3001)) )).
% 15.12/15.32 cnf(matrix-1782, plain, ( ~class_Rings_Ocomm__semiring__1(_u3002) | class_Groups_Oone(tc_Polynomial_Opoly(_u3002)) )).
% 15.12/15.32 cnf(matrix-1783, plain, ( ~class_Rings_Ocomm__semiring__1(_u3003) | class_Rings_Odvd(tc_Polynomial_Opoly(_u3003)) )).
% 15.12/15.32 cnf(matrix-1784, 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))) )).
% 15.12/15.32
% 15.12/15.32 % Proof stack:
% 15.12/15.32 cnf(proof-stack, plain,
% 15.12/15.32 proof_stack(
% 15.12/15.32 start(1784),
% 15.12/15.32 left_branch(0, 535, 2, 2),
% 15.12/15.32 left_branch(0, 143, 0, 3),
% 15.12/15.32 right_branch(3),
% 15.12/15.32 left_branch(0, 144, 0, 4),
% 15.12/15.32 right_branch(4),
% 15.12/15.32 right_branch(2)
% 15.12/15.32 )).
% 15.12/15.32 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------