TSTP Solution File: SWW219+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW219+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 : n018.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 14:40:02 EDT 2024
% Result : Theorem 12.17s 12.36s
% Output : Proof 12.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW219+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Mar 21 02:07:29 EDT 2024
% 0.12/0.34 % CPUTime :
% 12.17/12.36 % SZS status Theorem for theBenchmark
% 12.17/12.36 % SZS output start Proof for theBenchmark
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ext ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_rp ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_rp-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_r) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096_B_Bz_Ax_O_A_091_124_Acmod_Az_A_060_061_Ar_059_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_059_A_126_Ax_A_060_A1_A_124_093_A_061_061_062_AFalse_096-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u3), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u3)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u4)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u4, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_s1m ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_s1m-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u5), v_r) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u5))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(skolem2, _u8)), v_r) )).
% 12.17/12.36 cnf(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096-2, 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_p), hAPP(skolem2, _u9))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u9))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_s ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_s-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u10), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u10)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u11)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u15, _u11) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u15, v_s____) )).
% 12.17/12.36 cnf(fact_s-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem4(_u16)), v_r) )).
% 12.17/12.36 cnf(fact_s-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem4(_u16))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem3(_u16))) )).
% 12.17/12.36 cnf(fact_s-4, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, skolem3(_u16)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_th ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_th-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem5(_u18)), v_r) )).
% 12.17/12.36 cnf(fact_th-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_p), skolem5(_u18))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u18))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem6(_u20)), v_r) )).
% 12.17/12.36 cnf(fact__096_B_Bn_O_AEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_An_J_096-2, 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_p), skolem6(_u20))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u20))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u21), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u21)))), _u24) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u24) )).
% 12.17/12.36 cnf(fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u25) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem7(_u25)), v_r) )).
% 12.17/12.36 cnf(fact__096_B_By_O_A_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_A_N_A_I_N_Acmod_A_Ipoly_Ap_Az_J_J_A_060_Ay_J_A_061_A_I_N_As_A_060_Ay_J_096-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u25) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem7(_u25))))), _u25) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_s1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_s1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u26), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u26)), _u29) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u29) )).
% 12.17/12.36 cnf(fact_s1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u30) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem8(_u30)), v_r) )).
% 12.17/12.36 cnf(fact_s1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u30) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem8(_u30))), _u30) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u31), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u31)), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) )).
% 12.17/12.36 cnf(fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem9), v_r) )).
% 12.17/12.36 cnf(fact__096_IEX_Az_Ax_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_060_A_N_As_J_A_061_A_I_N_As_A_060_A_N_As_J_096-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem9)), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mth2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mth2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u33), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u33)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u34)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u34, skolem10) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), v_r) )).
% 12.17/12.36 cnf(fact__096cmod_A0_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A0_J_A_061_A_N_A_I_N_Acmod_A_Ipoly_Ap_A0_J_J_096-2, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__Suc-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u36)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u36), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__add__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__add__less-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u37) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, _u38), _u39) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, _u40), _u41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, c_Groups_Oplus__class_Oplus(_u37, _u38, _u40)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u39, _u41)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__triangle__ineq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__triangle__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u42) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u42, c_Groups_Oplus__class_Oplus(_u42, _u43, _u44)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u42, _u43), c_RealVector_Onorm__class_Onorm(_u42, _u44))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u45) | ~c_Orderings_Oord__class_Oless(_u45, _u46, _u47) | c_Orderings_Oord__class_Oless(_u45, _u46, c_Rings_Oinverse__class_Odivide(_u45, c_Groups_Oplus__class_Oplus(_u45, _u46, _u47), c_Groups_Oplus__class_Oplus(_u45, c_Groups_Oone__class_Oone(_u45), c_Groups_Oone__class_Oone(_u45)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u48) | ~c_Orderings_Oord__class_Oless(_u48, _u49, _u50) | c_Orderings_Oord__class_Oless(_u48, c_Rings_Oinverse__class_Odivide(_u48, c_Groups_Oplus__class_Oplus(_u48, _u49, _u50), c_Groups_Oplus__class_Oplus(_u48, c_Groups_Oone__class_Oone(_u48), c_Groups_Oone__class_Oone(_u48))), _u50) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__ge__zero ( axiom ) converted to clauses:
% 12.17/12.36 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, _u51)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u52) | ( c_RealVector_Onorm__class_Onorm(_u52, c_Groups_Ozero__class_Ozero(_u52)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__eq__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__eq__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u53) | ( c_RealVector_Onorm__class_Onorm(_u53, _u54) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u54 = c_Groups_Ozero__class_Ozero(_u53)) )).
% 12.17/12.36 cnf(fact_norm__eq__zero-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u53) | ( _u54 != c_Groups_Ozero__class_Ozero(_u53)) | ( c_RealVector_Onorm__class_Onorm(_u53, _u54) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide_Ozero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u55) | ( c_Rings_Oinverse__class_Odivide(_u55, c_Groups_Ozero__class_Ozero(_u55), _u56) = c_Groups_Ozero__class_Ozero(_u55)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__zero__not__eq__one ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__le__zero__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__le__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u57) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u58 = c_Groups_Ozero__class_Ozero(_u57)) )).
% 12.17/12.36 cnf(fact_norm__le__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u57) | ( _u58 != c_Groups_Ozero__class_Ozero(_u57)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__norm__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__norm__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u59) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u59, _u60)) | ( _u60 != c_Groups_Ozero__class_Ozero(_u59)) )).
% 12.17/12.36 cnf(fact_zero__less__norm__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u59) | ( _u60 = c_Groups_Ozero__class_Ozero(_u59)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u59, _u60)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u61) | ~c_Orderings_Oord__class_Oless__eq(_u61, _u62, _u63) | ~c_Orderings_Oord__class_Oless__eq(_u61, _u64, c_Groups_Ozero__class_Ozero(_u61)) | c_Orderings_Oord__class_Oless__eq(_u61, c_Rings_Oinverse__class_Odivide(_u61, _u63, _u64), c_Rings_Oinverse__class_Odivide(_u61, _u62, _u64)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u65) | ~c_Orderings_Oord__class_Oless__eq(_u65, _u66, _u67) | ~c_Orderings_Oord__class_Oless__eq(_u65, c_Groups_Ozero__class_Ozero(_u65), _u68) | c_Orderings_Oord__class_Oless__eq(_u65, c_Rings_Oinverse__class_Odivide(_u65, _u66, _u68), c_Rings_Oinverse__class_Odivide(_u65, _u67, _u68)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.36 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.36 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.36 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.36 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | ~c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.36 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.36 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.36 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) | c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.36 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) | c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.36 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) )).
% 12.17/12.36 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | ~c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) | ~c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__eq__0__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u75) | ( c_Groups_Oplus__class_Oplus(_u75, _u76, _u77) != c_Groups_Ozero__class_Ozero(_u75)) | ( _u77 = c_Groups_Ouminus__class_Ouminus(_u75, _u76)) )).
% 12.17/12.36 cnf(fact_add__eq__0__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u75) | ( _u77 != c_Groups_Ouminus__class_Ouminus(_u75, _u76)) | ( c_Groups_Oplus__class_Oplus(_u75, _u76, _u77) = c_Groups_Ozero__class_Ozero(_u75)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u78) | ~c_Orderings_Oord__class_Oless(_u78, _u79, _u80) | ~c_Orderings_Oord__class_Oless(_u78, _u81, c_Groups_Ozero__class_Ozero(_u78)) | c_Orderings_Oord__class_Oless(_u78, c_Rings_Oinverse__class_Odivide(_u78, _u80, _u81), c_Rings_Oinverse__class_Odivide(_u78, _u79, _u81)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, _u84) | ~c_Orderings_Oord__class_Oless(_u82, c_Groups_Ozero__class_Ozero(_u82), _u85) | c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u83, _u85), c_Rings_Oinverse__class_Odivide(_u82, _u84, _u85)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u86) | ~c_Orderings_Oord__class_Oless(_u86, _u87, c_Groups_Ozero__class_Ozero(_u86)) | ~c_Orderings_Oord__class_Oless(_u86, _u88, c_Groups_Ozero__class_Ozero(_u86)) | c_Orderings_Oord__class_Oless(_u86, c_Groups_Ozero__class_Ozero(_u86), c_Rings_Oinverse__class_Odivide(_u86, _u87, _u88)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u89) | ~c_Orderings_Oord__class_Oless(_u89, _u90, c_Groups_Ozero__class_Ozero(_u89)) | ~c_Orderings_Oord__class_Oless(_u89, c_Groups_Ozero__class_Ozero(_u89), _u91) | c_Orderings_Oord__class_Oless(_u89, c_Rings_Oinverse__class_Odivide(_u89, _u90, _u91), c_Groups_Ozero__class_Ozero(_u89)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u92) | ~c_Orderings_Oord__class_Oless(_u92, c_Groups_Ozero__class_Ozero(_u92), _u93) | ~c_Orderings_Oord__class_Oless(_u92, _u94, c_Groups_Ozero__class_Ozero(_u92)) | c_Orderings_Oord__class_Oless(_u92, c_Rings_Oinverse__class_Odivide(_u92, _u93, _u94), c_Groups_Ozero__class_Ozero(_u92)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u95) | ~c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), _u96) | ~c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), _u97) | c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), c_Rings_Oinverse__class_Odivide(_u95, _u96, _u97)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.36 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.36 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.36 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.36 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.36 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.36 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.36 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) | c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.36 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) | c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.36 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) )).
% 12.17/12.36 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | ~c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) | ~c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__less__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__less__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u106), c_RealDef_Oreal(tc_Nat_Onat, _u108)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u106, _u108) )).
% 12.17/12.36 cnf(fact_real__of__nat__less__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u107, _u109) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u107), c_RealDef_Oreal(tc_Nat_Onat, _u109)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__add-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u110, _u111)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u110), c_RealDef_Oreal(tc_Nat_Onat, _u111))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__ge__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__ge__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u112) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u112, _u113)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__not__less__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__not__less__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u114) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u114, _u115), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__1 ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__0__le__divide__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u118, _u120)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u118, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u120) )).
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u118, _u120)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u118) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u120, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u119, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u119) )).
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-4, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u119, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u121, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-5, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u121) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u119) )).
% 12.17/12.36 cnf(fact_real__0__le__divide__iff-6, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u121) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u121, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__real__of__nat__less__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__real__of__nat__less__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u122), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__add__minus__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__add__minus__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u125, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u127)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u125 = _u127) )).
% 12.17/12.36 cnf(fact_real__add__minus__iff-2, axiom, ( ( _u126 != _u128) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u126, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u128)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__add__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__add__eq__0__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u131, _u133) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u133 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u131)) )).
% 12.17/12.36 cnf(fact_real__add__eq__0__iff-2, axiom, ( ( _u134 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u132)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u132, _u134) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u135) | ~c_Orderings_Oord__class_Oless__eq(_u135, _u136, c_Groups_Ozero__class_Ozero(_u135)) | ~c_Orderings_Oord__class_Oless(_u135, _u137, c_Groups_Ozero__class_Ozero(_u135)) | c_Orderings_Oord__class_Oless__eq(_u135, c_Groups_Ozero__class_Ozero(_u135), c_Rings_Oinverse__class_Odivide(_u135, _u136, _u137)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u138) | ~c_Orderings_Oord__class_Oless__eq(_u138, _u139, c_Groups_Ozero__class_Ozero(_u138)) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Ozero__class_Ozero(_u138), _u140) | c_Orderings_Oord__class_Oless__eq(_u138, c_Rings_Oinverse__class_Odivide(_u138, _u139, _u140), c_Groups_Ozero__class_Ozero(_u138)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u141) | ~c_Orderings_Oord__class_Oless__eq(_u141, c_Groups_Ozero__class_Ozero(_u141), _u142) | ~c_Orderings_Oord__class_Oless__eq(_u141, _u142, _u143) | ~c_Orderings_Oord__class_Oless(_u141, c_Groups_Ozero__class_Ozero(_u141), _u144) | ~c_Orderings_Oord__class_Oless__eq(_u141, _u144, _u145) | c_Orderings_Oord__class_Oless__eq(_u141, c_Rings_Oinverse__class_Odivide(_u141, _u142, _u145), c_Rings_Oinverse__class_Odivide(_u141, _u143, _u144)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u146) | ~c_Orderings_Oord__class_Oless__eq(_u146, c_Groups_Ozero__class_Ozero(_u146), _u147) | ~c_Orderings_Oord__class_Oless(_u146, _u147, _u148) | ~c_Orderings_Oord__class_Oless(_u146, c_Groups_Ozero__class_Ozero(_u146), _u149) | ~c_Orderings_Oord__class_Oless__eq(_u146, _u149, _u150) | c_Orderings_Oord__class_Oless(_u146, c_Rings_Oinverse__class_Odivide(_u146, _u147, _u150), c_Rings_Oinverse__class_Odivide(_u146, _u148, _u149)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u151) | ~c_Orderings_Oord__class_Oless(_u151, c_Groups_Ozero__class_Ozero(_u151), _u152) | ~c_Orderings_Oord__class_Oless__eq(_u151, _u152, _u153) | ~c_Orderings_Oord__class_Oless(_u151, c_Groups_Ozero__class_Ozero(_u151), _u154) | ~c_Orderings_Oord__class_Oless(_u151, _u154, _u155) | c_Orderings_Oord__class_Oless(_u151, c_Rings_Oinverse__class_Odivide(_u151, _u152, _u155), c_Rings_Oinverse__class_Odivide(_u151, _u153, _u154)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u156) | ~c_Orderings_Oord__class_Oless__eq(_u156, c_Groups_Ozero__class_Ozero(_u156), _u157) | ~c_Orderings_Oord__class_Oless(_u156, _u158, c_Groups_Ozero__class_Ozero(_u156)) | c_Orderings_Oord__class_Oless__eq(_u156, c_Rings_Oinverse__class_Odivide(_u156, _u157, _u158), c_Groups_Ozero__class_Ozero(_u156)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u159) | ~c_Orderings_Oord__class_Oless__eq(_u159, c_Groups_Ozero__class_Ozero(_u159), _u160) | ~c_Orderings_Oord__class_Oless(_u159, c_Groups_Ozero__class_Ozero(_u159), _u161) | c_Orderings_Oord__class_Oless__eq(_u159, c_Groups_Ozero__class_Ozero(_u159), c_Rings_Oinverse__class_Odivide(_u159, _u160, _u161)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nonzero__norm__divide ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nonzero__norm__divide-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u162) | ( _u163 = c_Groups_Ozero__class_Ozero(_u162)) | ( c_RealVector_Onorm__class_Onorm(_u162, c_Rings_Oinverse__class_Odivide(_u162, _u164, _u163)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u162, _u164), c_RealVector_Onorm__class_Onorm(_u162, _u163))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__Suc__gt__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__Suc__gt__zero-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u165))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__add__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u168, _u170), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u170, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u168)) )).
% 12.17/12.36 cnf(fact_real__add__le__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u171, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u169)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u169, _u171), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__0__le__add__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u174, _u176)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u174), _u176) )).
% 12.17/12.36 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, _u175), _u177) | 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, _u175, _u177)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__add__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u180, _u182), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u182, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u180)) )).
% 12.17/12.36 cnf(fact_real__add__less__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u183, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u181)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u181, _u183), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__0__less__add__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u186, _u188)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u186), _u188) )).
% 12.17/12.36 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, _u187), _u189) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u187, _u189)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__less__real__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__less__real__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u192, _u194) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u192), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u194)) )).
% 12.17/12.36 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, _u193), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u195)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u193, _u195) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_complex__mod__triangle__sub ( axiom ) converted to clauses:
% 12.17/12.36 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, _u196), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u196, _u197)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u197))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__le__antisym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u198, _u199) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u199, _u198) | ( _u198 = _u199) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u200, _u201) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u201, _u202) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u200, _u202) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__le__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u203, _u204) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u204, _u203) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__le__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u205, _u205) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__inject ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__inject-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u208) != c_RealDef_Oreal(tc_Nat_Onat, _u210)) | ( _u208 = _u210) )).
% 12.17/12.36 cnf(fact_real__of__nat__inject-2, axiom, ( ( _u209 != _u211) | ( c_RealDef_Oreal(tc_Nat_Onat, _u209) = c_RealDef_Oreal(tc_Nat_Onat, _u211)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide_Oadd ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u212) | ( c_Rings_Oinverse__class_Odivide(_u212, c_Groups_Oplus__class_Oplus(_u212, _u213, _u214), _u215) = c_Groups_Oplus__class_Oplus(_u212, c_Rings_Oinverse__class_Odivide(_u212, _u213, _u215), c_Rings_Oinverse__class_Odivide(_u212, _u214, _u215))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__eq__real__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__eq__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u218, _u220) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u218, _u220) | ( _u218 = _u220) )).
% 12.17/12.36 cnf(fact_less__eq__real__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u219, _u221) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u219, _u221) )).
% 12.17/12.36 cnf(fact_less__eq__real__def-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u219, _u221) | ( _u219 != _u221) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__less__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__less__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u224, _u226) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u224, _u226) )).
% 12.17/12.36 cnf(fact_real__less__def-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u224, _u226) | ( _u224 != _u226) )).
% 12.17/12.36 cnf(fact_real__less__def-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u225, _u227) | ( _u225 = _u227) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u225, _u227) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u228) | ( c_Rings_Oinverse__class_Odivide(_u228, c_Groups_Ouminus__class_Ouminus(_u228, _u229), c_Groups_Ouminus__class_Ouminus(_u228, _u230)) = c_Rings_Oinverse__class_Odivide(_u228, _u229, _u230)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide_Ominus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u231) | ( c_Rings_Oinverse__class_Odivide(_u231, c_Groups_Ouminus__class_Ouminus(_u231, _u232), _u233) = c_Groups_Ouminus__class_Ouminus(_u231, c_Rings_Oinverse__class_Odivide(_u231, _u232, _u233))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u234) | ( c_Groups_Ouminus__class_Ouminus(_u234, c_Rings_Oinverse__class_Odivide(_u234, _u235, _u236)) = c_Rings_Oinverse__class_Odivide(_u234, _u235, c_Groups_Ouminus__class_Ouminus(_u234, _u236))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__minus__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__minus__cancel-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u237) | ( c_RealVector_Onorm__class_Onorm(_u237, c_Groups_Ouminus__class_Ouminus(_u237, _u238)) = c_RealVector_Onorm__class_Onorm(_u237, _u238)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__add__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__add__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u239, _u240) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u241, _u239), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u241, _u240)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u242) | ( c_RealVector_Onorm__class_Onorm(_u242, c_Groups_Oone__class_Oone(_u242)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__divide ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u243) | ~class_RealVector_Oreal__normed__field(_u243) | ( c_RealVector_Onorm__class_Onorm(_u243, c_Rings_Oinverse__class_Odivide(_u243, _u244, _u245)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u243, _u244), c_RealVector_Onorm__class_Onorm(_u243, _u245))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_calculation ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_calculation-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_r) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u246), v_r) | 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_p), skolem11)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u246))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_lemma__NBseq__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_lemma__NBseq__def-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u249) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem12(_u257, _u256, _u249))), _u249) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, _u250)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem13(_u257, _u256)))) )).
% 12.17/12.36 cnf(fact_lemma__NBseq__def-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem14(_u257, _u256, _u253))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u253))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem15(_u257, _u256)) )).
% 12.17/12.36 cnf(fact_lemma__NBseq__def-3, axiom, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem14(_u257, _u256, _u253))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u253))) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, _u254)), skolem15(_u257, _u256)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_lemma__NBseq__def2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_lemma__NBseq__def2-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u259) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem16(_u267, _u266, _u259))), _u259) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, _u260)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem17(_u267, _u266)))) )).
% 12.17/12.36 cnf(fact_lemma__NBseq__def2-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem18(_u267, _u266, _u263))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u263))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem19(_u267, _u266)) )).
% 12.17/12.36 cnf(fact_lemma__NBseq__def2-3, axiom, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem18(_u267, _u266, _u263))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u263))) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, _u264)), skolem19(_u267, _u266)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u268) | c_Orderings_Oord__class_Oless(_u268, c_Groups_Ozero__class_Ozero(_u268), c_Groups_Oplus__class_Oplus(_u268, c_Groups_Oone__class_Oone(_u268), c_Groups_Oone__class_Oone(_u268))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u269) | ~c_Orderings_Oord__class_Oless__eq(_u269, _u270, c_Groups_Ozero__class_Ozero(_u269)) | ~c_Orderings_Oord__class_Oless(_u269, _u271, c_Groups_Ozero__class_Ozero(_u269)) | c_Orderings_Oord__class_Oless(_u269, c_Groups_Oplus__class_Oplus(_u269, _u270, _u271), c_Groups_Ozero__class_Ozero(_u269)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u272) | ~c_Orderings_Oord__class_Oless(_u272, _u273, c_Groups_Ozero__class_Ozero(_u272)) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u274, c_Groups_Ozero__class_Ozero(_u272)) | c_Orderings_Oord__class_Oless(_u272, c_Groups_Oplus__class_Oplus(_u272, _u273, _u274), c_Groups_Ozero__class_Ozero(_u272)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u275) | ~c_Orderings_Oord__class_Oless__eq(_u275, c_Groups_Ozero__class_Ozero(_u275), _u276) | ~c_Orderings_Oord__class_Oless(_u275, _u277, _u278) | c_Orderings_Oord__class_Oless(_u275, _u277, c_Groups_Oplus__class_Oplus(_u275, _u276, _u278)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u279) | ~c_Orderings_Oord__class_Oless(_u279, c_Groups_Ozero__class_Ozero(_u279), _u280) | ~c_Orderings_Oord__class_Oless__eq(_u279, _u281, _u282) | c_Orderings_Oord__class_Oless(_u279, _u281, c_Groups_Oplus__class_Oplus(_u279, _u280, _u282)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u283) | ~c_Orderings_Oord__class_Oless__eq(_u283, c_Groups_Ozero__class_Ozero(_u283), _u284) | ~c_Orderings_Oord__class_Oless(_u283, c_Groups_Ozero__class_Ozero(_u283), _u285) | c_Orderings_Oord__class_Oless(_u283, c_Groups_Ozero__class_Ozero(_u283), c_Groups_Oplus__class_Oplus(_u283, _u284, _u285)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u286) | ~c_Orderings_Oord__class_Oless(_u286, c_Groups_Ozero__class_Ozero(_u286), _u287) | ~c_Orderings_Oord__class_Oless__eq(_u286, c_Groups_Ozero__class_Ozero(_u286), _u288) | c_Orderings_Oord__class_Oless(_u286, c_Groups_Ozero__class_Ozero(_u286), c_Groups_Oplus__class_Oplus(_u286, _u287, _u288)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_complex__mod__minus__le__complex__mod ( axiom ) converted to clauses:
% 12.17/12.36 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, _u289)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u289)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u290) | ( _u291 = c_Groups_Ozero__class_Ozero(_u290)) | ( c_Rings_Oinverse__class_Odivide(_u290, c_Groups_Ouminus__class_Ouminus(_u290, _u292), c_Groups_Ouminus__class_Ouminus(_u290, _u291)) = c_Rings_Oinverse__class_Odivide(_u290, _u292, _u291)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__le__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__le__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u295), c_RealDef_Oreal(tc_Nat_Onat, _u297)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u295, _u297) )).
% 12.17/12.36 cnf(fact_real__of__nat__le__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u296, _u298) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u296), c_RealDef_Oreal(tc_Nat_Onat, _u298)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__zero__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__zero__iff-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u300) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_real__of__nat__zero__iff-2, axiom, ( ( _u301 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u301) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__zero ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u302) | ( c_Groups_Ozero__class_Ozero(_u302) != _u303) | ( _u303 = c_Groups_Ozero__class_Ozero(_u302)) )).
% 12.17/12.36 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u302) | ( _u303 != c_Groups_Ozero__class_Ozero(_u302)) | ( c_Groups_Ozero__class_Ozero(_u302) = _u303) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u304) | ( _u305 = _u306) | c_Orderings_Oord__class_Oless(_u304, _u305, _u306) | c_Orderings_Oord__class_Oless(_u304, _u306, _u305) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u307) | ( c_Groups_Oplus__class_Oplus(_u307, c_Groups_Oplus__class_Oplus(_u307, _u308, _u309), _u310) = c_Groups_Oplus__class_Oplus(_u307, _u308, c_Groups_Oplus__class_Oplus(_u307, _u309, _u310))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u311) | ( c_Groups_Oplus__class_Oplus(_u311, _u312, _u313) != c_Groups_Oplus__class_Oplus(_u311, _u312, _u314)) | ( _u313 = _u314) )).
% 12.17/12.36 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u311) | ( _u313 != _u314) | ( c_Groups_Oplus__class_Oplus(_u311, _u312, _u313) = c_Groups_Oplus__class_Oplus(_u311, _u312, _u314)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u315) | ( c_Groups_Oplus__class_Oplus(_u315, _u316, _u317) != c_Groups_Oplus__class_Oplus(_u315, _u318, _u317)) | ( _u316 = _u318) )).
% 12.17/12.36 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u315) | ( _u316 != _u318) | ( c_Groups_Oplus__class_Oplus(_u315, _u316, _u317) = c_Groups_Oplus__class_Oplus(_u315, _u318, _u317)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u319) | ( c_Groups_Oplus__class_Oplus(_u319, _u320, _u321) != c_Groups_Oplus__class_Oplus(_u319, _u320, _u322)) | ( _u321 = _u322) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u323) | ( c_Groups_Oplus__class_Oplus(_u323, _u324, _u325) != c_Groups_Oplus__class_Oplus(_u323, _u324, _u326)) | ( _u325 = _u326) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u327) | ( c_Groups_Oplus__class_Oplus(_u327, _u328, _u329) != c_Groups_Oplus__class_Oplus(_u327, _u330, _u329)) | ( _u328 = _u330) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u331) | ( c_Groups_Oone__class_Oone(_u331) != _u332) | ( _u332 = c_Groups_Oone__class_Oone(_u331)) )).
% 12.17/12.36 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u331) | ( _u332 != c_Groups_Oone__class_Oone(_u331)) | ( c_Groups_Oone__class_Oone(_u331) = _u332) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u333) | ( c_Groups_Ouminus__class_Ouminus(_u333, c_Groups_Ouminus__class_Ouminus(_u333, _u334)) = _u334) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u335) | ( _u336 != c_Groups_Ouminus__class_Ouminus(_u335, _u337)) | ( _u337 = c_Groups_Ouminus__class_Ouminus(_u335, _u336)) )).
% 12.17/12.36 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u335) | ( _u337 != c_Groups_Ouminus__class_Ouminus(_u335, _u336)) | ( _u336 = c_Groups_Ouminus__class_Ouminus(_u335, _u337)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u338) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u339) != _u340) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u340) = _u339) )).
% 12.17/12.36 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u338) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u340) != _u339) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u339) = _u340) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u341) | ( c_Groups_Ouminus__class_Ouminus(_u341, _u342) != c_Groups_Ouminus__class_Ouminus(_u341, _u343)) | ( _u342 = _u343) )).
% 12.17/12.36 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u341) | ( _u342 != _u343) | ( c_Groups_Ouminus__class_Ouminus(_u341, _u342) = c_Groups_Ouminus__class_Ouminus(_u341, _u343)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__le__zero__cancel__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u345), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u345 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_real__of__nat__le__zero__cancel__iff-2, axiom, ( ( _u346 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u346), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__gt__zero__cancel__iff ( axiom ) converted to clauses:
% 12.17/12.36 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, _u348)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u348) )).
% 12.17/12.36 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), _u349) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u349)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__one-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__le__real__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__le__real__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u352, _u354) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u352), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u354), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.36 cnf(fact_nat__le__real__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u353), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u355), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u353, _u355) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u356) | ( c_Groups_Oplus__class_Oplus(_u356, c_Groups_Ozero__class_Ozero(_u356), _u357) = _u357) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u358) | ( c_Groups_Oplus__class_Oplus(_u358, c_Groups_Ozero__class_Ozero(_u358), _u359) = _u359) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u360) | ( c_Groups_Ozero__class_Ozero(_u360) != c_Groups_Oplus__class_Oplus(_u360, _u361, _u361)) | ( _u361 = c_Groups_Ozero__class_Ozero(_u360)) )).
% 12.17/12.36 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u360) | ( _u361 != c_Groups_Ozero__class_Ozero(_u360)) | ( c_Groups_Ozero__class_Ozero(_u360) = c_Groups_Oplus__class_Oplus(_u360, _u361, _u361)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u362) | ( c_Groups_Oplus__class_Oplus(_u362, _u363, c_Groups_Ozero__class_Ozero(_u362)) = _u363) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u364) | ( c_Groups_Oplus__class_Oplus(_u364, _u365, c_Groups_Ozero__class_Ozero(_u364)) = _u365) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Oplus__class_Oplus(_u366, _u367, _u368), c_Groups_Oplus__class_Oplus(_u366, _u369, _u368)) | c_Orderings_Oord__class_Oless__eq(_u366, _u367, _u369) )).
% 12.17/12.36 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, _u367, _u369) | c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Oplus__class_Oplus(_u366, _u367, _u368), c_Groups_Oplus__class_Oplus(_u366, _u369, _u368)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u370) | ~c_Orderings_Oord__class_Oless__eq(_u370, c_Groups_Oplus__class_Oplus(_u370, _u371, _u372), c_Groups_Oplus__class_Oplus(_u370, _u371, _u373)) | c_Orderings_Oord__class_Oless__eq(_u370, _u372, _u373) )).
% 12.17/12.36 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u370) | ~c_Orderings_Oord__class_Oless__eq(_u370, _u372, _u373) | c_Orderings_Oord__class_Oless__eq(_u370, c_Groups_Oplus__class_Oplus(_u370, _u371, _u372), c_Groups_Oplus__class_Oplus(_u370, _u371, _u373)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u374) | ~c_Orderings_Oord__class_Oless__eq(_u374, _u375, _u376) | c_Orderings_Oord__class_Oless__eq(_u374, c_Groups_Oplus__class_Oplus(_u374, _u375, _u377), c_Groups_Oplus__class_Oplus(_u374, _u376, _u377)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u379, _u380) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Oplus__class_Oplus(_u378, _u381, _u379), c_Groups_Oplus__class_Oplus(_u378, _u381, _u380)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u382) | ~c_Orderings_Oord__class_Oless__eq(_u382, _u383, _u384) | ~c_Orderings_Oord__class_Oless__eq(_u382, _u385, _u386) | c_Orderings_Oord__class_Oless__eq(_u382, c_Groups_Oplus__class_Oplus(_u382, _u383, _u385), c_Groups_Oplus__class_Oplus(_u382, _u384, _u386)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u387) | ~c_Orderings_Oord__class_Oless__eq(_u387, c_Groups_Oplus__class_Oplus(_u387, _u388, _u389), c_Groups_Oplus__class_Oplus(_u387, _u390, _u389)) | c_Orderings_Oord__class_Oless__eq(_u387, _u388, _u390) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u391) | ~c_Orderings_Oord__class_Oless__eq(_u391, c_Groups_Oplus__class_Oplus(_u391, _u392, _u393), c_Groups_Oplus__class_Oplus(_u391, _u392, _u394)) | c_Orderings_Oord__class_Oless__eq(_u391, _u393, _u394) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u395) | ~c_Orderings_Oord__class_Oless(_u395, c_Groups_Oplus__class_Oplus(_u395, _u396, _u397), c_Groups_Oplus__class_Oplus(_u395, _u398, _u397)) | c_Orderings_Oord__class_Oless(_u395, _u396, _u398) )).
% 12.17/12.36 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u395) | ~c_Orderings_Oord__class_Oless(_u395, _u396, _u398) | c_Orderings_Oord__class_Oless(_u395, c_Groups_Oplus__class_Oplus(_u395, _u396, _u397), c_Groups_Oplus__class_Oplus(_u395, _u398, _u397)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u399) | ~c_Orderings_Oord__class_Oless(_u399, c_Groups_Oplus__class_Oplus(_u399, _u400, _u401), c_Groups_Oplus__class_Oplus(_u399, _u400, _u402)) | c_Orderings_Oord__class_Oless(_u399, _u401, _u402) )).
% 12.17/12.36 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u399) | ~c_Orderings_Oord__class_Oless(_u399, _u401, _u402) | c_Orderings_Oord__class_Oless(_u399, c_Groups_Oplus__class_Oplus(_u399, _u400, _u401), c_Groups_Oplus__class_Oplus(_u399, _u400, _u402)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u403) | ~c_Orderings_Oord__class_Oless(_u403, _u404, _u405) | c_Orderings_Oord__class_Oless(_u403, c_Groups_Oplus__class_Oplus(_u403, _u404, _u406), c_Groups_Oplus__class_Oplus(_u403, _u405, _u406)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u407) | ~c_Orderings_Oord__class_Oless(_u407, _u408, _u409) | c_Orderings_Oord__class_Oless(_u407, c_Groups_Oplus__class_Oplus(_u407, _u410, _u408), c_Groups_Oplus__class_Oplus(_u407, _u410, _u409)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u411) | ~c_Orderings_Oord__class_Oless(_u411, _u412, _u413) | ~c_Orderings_Oord__class_Oless(_u411, _u414, _u415) | c_Orderings_Oord__class_Oless(_u411, c_Groups_Oplus__class_Oplus(_u411, _u412, _u414), c_Groups_Oplus__class_Oplus(_u411, _u413, _u415)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u416) | ~c_Orderings_Oord__class_Oless(_u416, c_Groups_Oplus__class_Oplus(_u416, _u417, _u418), c_Groups_Oplus__class_Oplus(_u416, _u419, _u418)) | c_Orderings_Oord__class_Oless(_u416, _u417, _u419) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u420) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oplus__class_Oplus(_u420, _u421, _u422), c_Groups_Oplus__class_Oplus(_u420, _u421, _u423)) | c_Orderings_Oord__class_Oless(_u420, _u422, _u423) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u424) | ( c_Groups_Oone__class_Oone(_u424) != c_Groups_Ozero__class_Ozero(_u424)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u425) | ( c_Groups_Ozero__class_Ozero(_u425) != c_Groups_Oone__class_Oone(_u425)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u426) | ( c_Groups_Ouminus__class_Ouminus(_u426, c_Groups_Ozero__class_Ozero(_u426)) = c_Groups_Ozero__class_Ozero(_u426)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u427) | ( c_Groups_Ozero__class_Ozero(_u427) != c_Groups_Ouminus__class_Ouminus(_u427, _u428)) | ( c_Groups_Ozero__class_Ozero(_u427) = _u428) )).
% 12.17/12.36 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u427) | ( c_Groups_Ozero__class_Ozero(_u427) != _u428) | ( c_Groups_Ozero__class_Ozero(_u427) = c_Groups_Ouminus__class_Ouminus(_u427, _u428)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u429) | ( _u430 != c_Groups_Ouminus__class_Ouminus(_u429, _u430)) | ( _u430 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.17/12.36 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u429) | ( _u430 != c_Groups_Ozero__class_Ozero(_u429)) | ( _u430 = c_Groups_Ouminus__class_Ouminus(_u429, _u430)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u431) | ( c_Groups_Ouminus__class_Ouminus(_u431, _u432) != c_Groups_Ozero__class_Ozero(_u431)) | ( _u432 = c_Groups_Ozero__class_Ozero(_u431)) )).
% 12.17/12.36 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u431) | ( _u432 != c_Groups_Ozero__class_Ozero(_u431)) | ( c_Groups_Ouminus__class_Ouminus(_u431, _u432) = c_Groups_Ozero__class_Ozero(_u431)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u433) | ( c_Groups_Ouminus__class_Ouminus(_u433, _u434) != _u434) | ( _u434 = c_Groups_Ozero__class_Ozero(_u433)) )).
% 12.17/12.36 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u433) | ( _u434 != c_Groups_Ozero__class_Ozero(_u433)) | ( c_Groups_Ouminus__class_Ouminus(_u433, _u434) = _u434) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u435) | ~c_Orderings_Oord__class_Oless__eq(_u435, _u436, c_Groups_Ouminus__class_Ouminus(_u435, _u437)) | c_Orderings_Oord__class_Oless__eq(_u435, _u437, c_Groups_Ouminus__class_Ouminus(_u435, _u436)) )).
% 12.17/12.36 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u435) | ~c_Orderings_Oord__class_Oless__eq(_u435, _u437, c_Groups_Ouminus__class_Ouminus(_u435, _u436)) | c_Orderings_Oord__class_Oless__eq(_u435, _u436, c_Groups_Ouminus__class_Ouminus(_u435, _u437)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u438) | ~c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u439), _u440) | c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u440), _u439) )).
% 12.17/12.36 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u438) | ~c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u440), _u439) | c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u439), _u440) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u441) | ~c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ouminus__class_Ouminus(_u441, _u442), c_Groups_Ouminus__class_Ouminus(_u441, _u443)) | c_Orderings_Oord__class_Oless__eq(_u441, _u443, _u442) )).
% 12.17/12.36 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u441) | ~c_Orderings_Oord__class_Oless__eq(_u441, _u443, _u442) | c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ouminus__class_Ouminus(_u441, _u442), c_Groups_Ouminus__class_Ouminus(_u441, _u443)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u444) | ~c_Orderings_Oord__class_Oless__eq(_u444, _u445, _u446) | c_Orderings_Oord__class_Oless__eq(_u444, c_Groups_Ouminus__class_Ouminus(_u444, _u446), c_Groups_Ouminus__class_Ouminus(_u444, _u445)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u447) | ~c_Orderings_Oord__class_Oless(_u447, _u448, c_Groups_Ouminus__class_Ouminus(_u447, _u449)) | c_Orderings_Oord__class_Oless(_u447, _u449, c_Groups_Ouminus__class_Ouminus(_u447, _u448)) )).
% 12.17/12.36 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u447) | ~c_Orderings_Oord__class_Oless(_u447, _u449, c_Groups_Ouminus__class_Ouminus(_u447, _u448)) | c_Orderings_Oord__class_Oless(_u447, _u448, c_Groups_Ouminus__class_Ouminus(_u447, _u449)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u450) | ~c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u451), _u452) | c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u452), _u451) )).
% 12.17/12.36 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u450) | ~c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u452), _u451) | c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u451), _u452) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u453) | ~c_Orderings_Oord__class_Oless(_u453, c_Groups_Ouminus__class_Ouminus(_u453, _u454), c_Groups_Ouminus__class_Ouminus(_u453, _u455)) | c_Orderings_Oord__class_Oless(_u453, _u455, _u454) )).
% 12.17/12.36 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u453) | ~c_Orderings_Oord__class_Oless(_u453, _u455, _u454) | c_Orderings_Oord__class_Oless(_u453, c_Groups_Ouminus__class_Ouminus(_u453, _u454), c_Groups_Ouminus__class_Ouminus(_u453, _u455)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u456) | ( c_Rings_Oinverse__class_Odivide(_u456, c_Groups_Ozero__class_Ozero(_u456), _u457) = c_Groups_Ozero__class_Ozero(_u456)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u458) | ( c_Rings_Oinverse__class_Odivide(_u458, _u459, c_Groups_Ozero__class_Ozero(_u458)) = c_Groups_Ozero__class_Ozero(_u458)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u460) | ( c_Groups_Ouminus__class_Ouminus(_u460, c_Groups_Oplus__class_Oplus(_u460, _u461, _u462)) = c_Groups_Oplus__class_Oplus(_u460, c_Groups_Ouminus__class_Ouminus(_u460, _u461), c_Groups_Ouminus__class_Ouminus(_u460, _u462))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u463) | ( c_Groups_Ouminus__class_Ouminus(_u463, c_Groups_Oplus__class_Oplus(_u463, _u464, _u465)) = c_Groups_Oplus__class_Oplus(_u463, c_Groups_Ouminus__class_Ouminus(_u463, _u465), c_Groups_Ouminus__class_Ouminus(_u463, _u464))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u466) | ( c_Groups_Oplus__class_Oplus(_u466, _u467, c_Groups_Oplus__class_Oplus(_u466, c_Groups_Ouminus__class_Ouminus(_u466, _u467), _u468)) = _u468) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u469) | ( c_Groups_Oplus__class_Oplus(_u469, c_Groups_Ouminus__class_Ouminus(_u469, _u470), c_Groups_Oplus__class_Oplus(_u469, _u470, _u471)) = _u471) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u472) | ( c_Rings_Oinverse__class_Odivide(_u472, c_Groups_Oplus__class_Oplus(_u472, _u473, _u474), _u475) = c_Groups_Oplus__class_Oplus(_u472, c_Rings_Oinverse__class_Odivide(_u472, _u473, _u475), c_Rings_Oinverse__class_Odivide(_u472, _u474, _u475))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u476) | ( c_Rings_Oinverse__class_Odivide(_u476, _u477, c_Groups_Oone__class_Oone(_u476)) = _u477) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u478) | ( c_Groups_Ouminus__class_Ouminus(_u478, c_Rings_Oinverse__class_Odivide(_u478, _u479, _u480)) = c_Rings_Oinverse__class_Odivide(_u478, c_Groups_Ouminus__class_Ouminus(_u478, _u479), _u480)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u481) | ~c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), c_Groups_Oplus__class_Oplus(_u481, _u482, _u482)) | c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), _u482) )).
% 12.17/12.36 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u481) | ~c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), _u482) | c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), c_Groups_Oplus__class_Oplus(_u481, _u482, _u482)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u483) | ~c_Orderings_Oord__class_Oless__eq(_u483, c_Groups_Oplus__class_Oplus(_u483, _u484, _u484), c_Groups_Ozero__class_Ozero(_u483)) | c_Orderings_Oord__class_Oless__eq(_u483, _u484, c_Groups_Ozero__class_Ozero(_u483)) )).
% 12.17/12.36 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u483) | ~c_Orderings_Oord__class_Oless__eq(_u483, _u484, c_Groups_Ozero__class_Ozero(_u483)) | c_Orderings_Oord__class_Oless__eq(_u483, c_Groups_Oplus__class_Oplus(_u483, _u484, _u484), c_Groups_Ozero__class_Ozero(_u483)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u485) | ~c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), _u486) | ~c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), _u487) | c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), c_Groups_Oplus__class_Oplus(_u485, _u486, _u487)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) != c_Groups_Ozero__class_Ozero(_u488)) | ( _u489 = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.36 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) != c_Groups_Ozero__class_Ozero(_u488)) | ( _u490 = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.36 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( _u489 != c_Groups_Ozero__class_Ozero(_u488)) | ( _u490 != c_Groups_Ozero__class_Ozero(_u488)) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u491) | ~c_Orderings_Oord__class_Oless__eq(_u491, c_Groups_Ozero__class_Ozero(_u491), _u492) | ~c_Orderings_Oord__class_Oless__eq(_u491, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(_u491, _u493, c_Groups_Oplus__class_Oplus(_u491, _u492, _u494)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u495) | ~c_Orderings_Oord__class_Oless__eq(_u495, c_Groups_Ozero__class_Ozero(_u495), _u496) | ~c_Orderings_Oord__class_Oless__eq(_u495, _u497, _u498) | c_Orderings_Oord__class_Oless__eq(_u495, _u497, c_Groups_Oplus__class_Oplus(_u495, _u498, _u496)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u499) | ~c_Orderings_Oord__class_Oless__eq(_u499, _u500, c_Groups_Ozero__class_Ozero(_u499)) | ~c_Orderings_Oord__class_Oless__eq(_u499, _u501, c_Groups_Ozero__class_Ozero(_u499)) | c_Orderings_Oord__class_Oless__eq(_u499, c_Groups_Oplus__class_Oplus(_u499, _u500, _u501), c_Groups_Ozero__class_Ozero(_u499)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u502) | ~c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), c_Groups_Oplus__class_Oplus(_u502, _u503, _u503)) | c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), _u503) )).
% 12.17/12.36 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u502) | ~c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), _u503) | c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), c_Groups_Oplus__class_Oplus(_u502, _u503, _u503)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u504) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Oplus__class_Oplus(_u504, _u505, _u505), c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 12.17/12.36 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u504) | ~c_Orderings_Oord__class_Oless(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Oplus__class_Oplus(_u504, _u505, _u505), c_Groups_Ozero__class_Ozero(_u504)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u506) | ~c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), _u507) | ~c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), _u508) | c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), c_Groups_Oplus__class_Oplus(_u506, _u507, _u508)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u509) | ~c_Orderings_Oord__class_Oless(_u509, c_Groups_Ozero__class_Ozero(_u509), _u510) | ~c_Orderings_Oord__class_Oless(_u509, _u511, _u512) | c_Orderings_Oord__class_Oless(_u509, _u511, c_Groups_Oplus__class_Oplus(_u509, _u510, _u512)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u513) | ~c_Orderings_Oord__class_Oless(_u513, _u514, c_Groups_Ozero__class_Ozero(_u513)) | ~c_Orderings_Oord__class_Oless(_u513, _u515, c_Groups_Ozero__class_Ozero(_u513)) | c_Orderings_Oord__class_Oless(_u513, c_Groups_Oplus__class_Oplus(_u513, _u514, _u515), c_Groups_Ozero__class_Ozero(_u513)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u516) | ~c_Orderings_Oord__class_Oless(_u516, _u517, _u518) | ~c_Orderings_Oord__class_Oless__eq(_u516, _u519, _u520) | c_Orderings_Oord__class_Oless(_u516, c_Groups_Oplus__class_Oplus(_u516, _u517, _u519), c_Groups_Oplus__class_Oplus(_u516, _u518, _u520)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u521) | ~c_Orderings_Oord__class_Oless__eq(_u521, _u522, _u523) | ~c_Orderings_Oord__class_Oless(_u521, _u524, _u525) | c_Orderings_Oord__class_Oless(_u521, c_Groups_Oplus__class_Oplus(_u521, _u522, _u524), c_Groups_Oplus__class_Oplus(_u521, _u523, _u525)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u526) | ~c_Orderings_Oord__class_Oless__eq(_u526, c_Groups_Oone__class_Oone(_u526), c_Groups_Ozero__class_Ozero(_u526)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u527) | c_Orderings_Oord__class_Oless__eq(_u527, c_Groups_Ozero__class_Ozero(_u527), c_Groups_Oone__class_Oone(_u527)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u528) | ~c_Orderings_Oord__class_Oless(_u528, c_Groups_Oone__class_Oone(_u528), c_Groups_Ozero__class_Ozero(_u528)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u529) | c_Orderings_Oord__class_Oless(_u529, c_Groups_Ozero__class_Ozero(_u529), c_Groups_Oone__class_Oone(_u529)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u530) | ~c_Orderings_Oord__class_Oless__eq(_u530, c_Groups_Ozero__class_Ozero(_u530), c_Groups_Ouminus__class_Ouminus(_u530, _u531)) | c_Orderings_Oord__class_Oless__eq(_u530, _u531, c_Groups_Ozero__class_Ozero(_u530)) )).
% 12.17/12.36 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u530) | ~c_Orderings_Oord__class_Oless__eq(_u530, _u531, c_Groups_Ozero__class_Ozero(_u530)) | c_Orderings_Oord__class_Oless__eq(_u530, c_Groups_Ozero__class_Ozero(_u530), c_Groups_Ouminus__class_Ouminus(_u530, _u531)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u532) | ~c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ouminus__class_Ouminus(_u532, _u533)) | c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) )).
% 12.17/12.36 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u532) | ~c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ouminus__class_Ouminus(_u532, _u533)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u534) | ~c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ouminus__class_Ouminus(_u534, _u535), c_Groups_Ozero__class_Ozero(_u534)) | c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ozero__class_Ozero(_u534), _u535) )).
% 12.17/12.36 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u534) | ~c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ozero__class_Ozero(_u534), _u535) | c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ouminus__class_Ouminus(_u534, _u535), c_Groups_Ozero__class_Ozero(_u534)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ouminus__class_Ouminus(_u536, _u537), _u537) | c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u537) )).
% 12.17/12.36 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u537) | c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ouminus__class_Ouminus(_u536, _u537), _u537) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u538) | ~c_Orderings_Oord__class_Oless(_u538, c_Groups_Ozero__class_Ozero(_u538), c_Groups_Ouminus__class_Ouminus(_u538, _u539)) | c_Orderings_Oord__class_Oless(_u538, _u539, c_Groups_Ozero__class_Ozero(_u538)) )).
% 12.17/12.36 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u538) | ~c_Orderings_Oord__class_Oless(_u538, _u539, c_Groups_Ozero__class_Ozero(_u538)) | c_Orderings_Oord__class_Oless(_u538, c_Groups_Ozero__class_Ozero(_u538), c_Groups_Ouminus__class_Ouminus(_u538, _u539)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u540) | ~c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ouminus__class_Ouminus(_u540, _u541)) | c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ozero__class_Ozero(_u540)) )).
% 12.17/12.36 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u540) | ~c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ozero__class_Ozero(_u540)) | c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ouminus__class_Ouminus(_u540, _u541)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u542) | ~c_Orderings_Oord__class_Oless(_u542, c_Groups_Ouminus__class_Ouminus(_u542, _u543), c_Groups_Ozero__class_Ozero(_u542)) | c_Orderings_Oord__class_Oless(_u542, c_Groups_Ozero__class_Ozero(_u542), _u543) )).
% 12.17/12.36 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u542) | ~c_Orderings_Oord__class_Oless(_u542, c_Groups_Ozero__class_Ozero(_u542), _u543) | c_Orderings_Oord__class_Oless(_u542, c_Groups_Ouminus__class_Ouminus(_u542, _u543), c_Groups_Ozero__class_Ozero(_u542)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u544) | ~c_Orderings_Oord__class_Oless(_u544, c_Groups_Ouminus__class_Ouminus(_u544, _u545), _u545) | c_Orderings_Oord__class_Oless(_u544, c_Groups_Ozero__class_Ozero(_u544), _u545) )).
% 12.17/12.36 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u544) | ~c_Orderings_Oord__class_Oless(_u544, c_Groups_Ozero__class_Ozero(_u544), _u545) | c_Orderings_Oord__class_Oless(_u544, c_Groups_Ouminus__class_Ouminus(_u544, _u545), _u545) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u546) | c_Orderings_Oord__class_Oless(_u546, _u547, c_Groups_Oplus__class_Oplus(_u546, _u547, c_Groups_Oone__class_Oone(_u546))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u548) | ( c_Groups_Oplus__class_Oplus(_u548, _u549, c_Groups_Ouminus__class_Ouminus(_u548, _u549)) = c_Groups_Ozero__class_Ozero(_u548)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u550) | ( _u551 != c_Groups_Ouminus__class_Ouminus(_u550, _u552)) | ( c_Groups_Oplus__class_Oplus(_u550, _u551, _u552) = c_Groups_Ozero__class_Ozero(_u550)) )).
% 12.17/12.36 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u550) | ( c_Groups_Oplus__class_Oplus(_u550, _u551, _u552) != c_Groups_Ozero__class_Ozero(_u550)) | ( _u551 = c_Groups_Ouminus__class_Ouminus(_u550, _u552)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u553) | ( c_Groups_Oplus__class_Oplus(_u553, c_Groups_Ouminus__class_Ouminus(_u553, _u554), _u554) = c_Groups_Ozero__class_Ozero(_u553)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u555) | ( c_Groups_Oplus__class_Oplus(_u555, c_Groups_Ouminus__class_Ouminus(_u555, _u556), _u556) = c_Groups_Ozero__class_Ozero(_u555)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u557) | ( c_Groups_Oplus__class_Oplus(_u557, _u558, _u559) != c_Groups_Ozero__class_Ozero(_u557)) | ( c_Groups_Ouminus__class_Ouminus(_u557, _u558) = _u559) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u560) | ( _u561 != c_Groups_Ozero__class_Ozero(_u560)) | ( c_Rings_Oinverse__class_Odivide(_u560, _u561, _u561) = c_Groups_Ozero__class_Ozero(_u560)) )).
% 12.17/12.36 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u560) | ( _u561 = c_Groups_Ozero__class_Ozero(_u560)) | ( c_Rings_Oinverse__class_Odivide(_u560, _u561, _u561) = c_Groups_Oone__class_Oone(_u560)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u562) | ( _u563 = c_Groups_Ozero__class_Ozero(_u562)) | ( c_Rings_Oinverse__class_Odivide(_u562, _u563, _u563) = c_Groups_Oone__class_Oone(_u562)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u564) | ( _u565 = c_Groups_Ozero__class_Ozero(_u564)) | ( c_Rings_Oinverse__class_Odivide(_u564, _u566, _u565) != c_Groups_Oone__class_Oone(_u564)) | ( _u566 = _u565) )).
% 12.17/12.36 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u564) | ( _u565 = c_Groups_Ozero__class_Ozero(_u564)) | ( _u566 != _u565) | ( c_Rings_Oinverse__class_Odivide(_u564, _u566, _u565) = c_Groups_Oone__class_Oone(_u564)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u567) | ( _u568 = c_Groups_Ozero__class_Ozero(_u567)) | ( c_Groups_Ouminus__class_Ouminus(_u567, c_Rings_Oinverse__class_Odivide(_u567, _u569, _u568)) = c_Rings_Oinverse__class_Odivide(_u567, _u569, c_Groups_Ouminus__class_Ouminus(_u567, _u568))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__Suc-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Nat_OSuc(_u570)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_lessI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_lessI-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u571, c_Nat_OSuc(_u571)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u572, _u573) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u572), c_Nat_OSuc(_u573)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__eq__plus1-1, axiom, ( ( c_Nat_OSuc(_u574) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u574, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( c_Nat_OSuc(_u575) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u575)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__iff__Suc__add-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u580, _u582) | ( _u582 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u580, skolem20(_u582, _u580)))) )).
% 12.17/12.36 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u583 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u581, _u577))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u581, _u583) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__add__Suc2-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u584, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u585, _u584))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__add__Suc1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u586, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u586, _u587))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u588) | ~c_Orderings_Oord__class_Oless(_u588, c_Groups_Oplus__class_Oplus(_u588, _u589, _u589), c_Groups_Ozero__class_Ozero(_u588)) | c_Orderings_Oord__class_Oless(_u588, _u589, c_Groups_Ozero__class_Ozero(_u588)) )).
% 12.17/12.36 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u588) | ~c_Orderings_Oord__class_Oless(_u588, _u589, c_Groups_Ozero__class_Ozero(_u588)) | c_Orderings_Oord__class_Oless(_u588, c_Groups_Oplus__class_Oplus(_u588, _u589, _u589), c_Groups_Ozero__class_Ozero(_u588)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u590), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u590)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u591)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u596, _u591) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u596, skolem21) )).
% 12.17/12.36 cnf(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem23(_u597)), v_r) )).
% 12.17/12.36 cnf(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem23(_u597))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem22(_u597))) )).
% 12.17/12.36 cnf(fact__096EX_As_O_AALL_Ay_O_A_IEX_Ax_O_A_IEX_Az_O_Acmod_Az_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_Az_J_A_061_A_N_Ax_J_A_G_Ay_A_060_Ax_J_A_061_A_Iy_A_060_As_J_096-4, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem22(_u597)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__zeroE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u598, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u599) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 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), _u600) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__0__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u602, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_le__0__eq-2, axiom, ( ( _u603 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u603, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u604, _u605) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u605, _u604) | ( _u604 = _u605) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u606, _u607) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u607, _u608) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u606, _u608) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__imp__le-1, axiom, ( ( _u609 != _u610) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u609, _u610) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u611, _u612) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u612, _u611) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u613, _u613) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__inject-1, axiom, ( ( c_Nat_OSuc(_u614) != c_Nat_OSuc(_u615)) | ( _u614 = _u615) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat_Oinject-1, axiom, ( ( c_Nat_OSuc(_u618) != c_Nat_OSuc(_u620)) | ( _u618 = _u620) )).
% 12.17/12.36 cnf(fact_nat_Oinject-2, axiom, ( ( _u619 != _u621) | ( c_Nat_OSuc(_u619) = c_Nat_OSuc(_u621)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__n__not__n-1, axiom, ( ( c_Nat_OSuc(_u622) != _u622) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u623 != c_Nat_OSuc(_u623)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__neq__Zero-1, axiom, ( ( c_Nat_OSuc(_u624) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u625)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( c_Nat_OSuc(_u626) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__not__Zero-1, axiom, ( ( c_Nat_OSuc(_u627) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u628)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u629)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__leD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u630), _u631) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u630, _u631) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__SucE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u632, c_Nat_OSuc(_u633)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u632, _u633) | ( _u632 = c_Nat_OSuc(_u633)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__SucI-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u634, _u635) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u634, c_Nat_OSuc(_u635)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u638), c_Nat_OSuc(_u640)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u638, _u640) )).
% 12.17/12.36 cnf(fact_Suc__le__mono-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u639, _u641) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u639), c_Nat_OSuc(_u641)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u644, c_Nat_OSuc(_u646)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u644, _u646) | ( _u644 = c_Nat_OSuc(_u646)) )).
% 12.17/12.36 cnf(fact_le__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, c_Nat_OSuc(_u647)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, _u647) )).
% 12.17/12.36 cnf(fact_le__Suc__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, c_Nat_OSuc(_u647)) | ( _u645 != c_Nat_OSuc(_u647)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__less__eq__eq-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u650, _u652) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u652), _u650) )).
% 12.17/12.36 cnf(fact_not__less__eq__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u653), _u651) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u651, _u653) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__n__not__le__n-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u654), _u654) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__less__cases-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u655, _u656) | ( _u655 = _u656) | hBOOL(hAPP(hAPP(_u657, _u656), _u655)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u656, _u655) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_gr0I-1, axiom, ( ( _u658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u658) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__or__eq__imp__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u659, _u660) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u659, _u660) )).
% 12.17/12.36 cnf(fact_less__or__eq__imp__le-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u659, _u660) | ( _u659 != _u660) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__neq__implies__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u661, _u662) | ( _u661 = _u662) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u661, _u662) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__imp__le__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u663, _u664) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u663, _u664) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__not__refl3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u665, _u666) | ( _u665 != _u666) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__not__refl2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u667, _u668) | ( _u668 != _u667) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_gr__implies__not0-1, axiom, ( ( _u670 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u669, _u670) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__irrefl__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u671, _u671) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u672 = _u673) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u672, _u673) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u673, _u672) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u676, _u678) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u676, _u678) | ( _u676 = _u678) )).
% 12.17/12.36 cnf(fact_le__eq__less__or__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u677, _u679) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u677, _u679) )).
% 12.17/12.36 cnf(fact_le__eq__less__or__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u677, _u679) | ( _u677 != _u679) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__less__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u682, _u684) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u682, _u684) )).
% 12.17/12.36 cnf(fact_nat__less__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u682, _u684) | ( _u682 != _u684) )).
% 12.17/12.36 cnf(fact_nat__less__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u683, _u685) | ( _u683 = _u685) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u683, _u685) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__nat__zero__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u686, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__neq__iff-1, axiom, ( ( _u689 = _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u689, _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u691, _u689) )).
% 12.17/12.36 cnf(fact_nat__neq__iff-2, axiom, ( ( _u690 != _u692) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, _u692) )).
% 12.17/12.36 cnf(fact_nat__neq__iff-3, axiom, ( ( _u690 != _u692) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u692, _u690) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_neq0__conv-1, axiom, ( ( _u694 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u694) )).
% 12.17/12.36 cnf(fact_neq0__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u695) | ( _u695 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__not__refl-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u696, _u696) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u697, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__leE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u698, _u699), _u700) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u698, _u700) )).
% 12.17/12.36 cnf(fact_add__leE-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u698, _u699), _u700) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u699, _u700) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__leD1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u701, _u702), _u703) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u701, _u703) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__leD2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u705, _u706) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u704, _u705), _u706) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u707, _u708) != _u707) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u709, _u710) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u711, _u712) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u709, _u711), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u710, _u712)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u713, _u714) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u713, _u715), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u714, _u715)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_trans__le__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u716, _u717) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u716, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u718, _u717)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_trans__le__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u719, _u720) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u719, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u720, _u721)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__left__cancel__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u727, _u729) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u725, _u727), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u725, _u729)) )).
% 12.17/12.36 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u728, _u730) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u726, _u728), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u726, _u730)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__right__cancel-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u734, _u736) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u738, _u736)) | ( _u734 = _u738) )).
% 12.17/12.36 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u735 != _u739) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u735, _u737) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u739, _u737)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u745 = _u747) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u743, _u745) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u743, _u747)) )).
% 12.17/12.36 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u746 != _u748) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u744, _u746) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u744, _u748)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u749, _u750), _u751) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u749, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u750, _u751))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__is__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u754, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u754 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_add__is__0-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u754, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u756 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_add__is__0-3, axiom, ( ( _u755 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u755, _u757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u758, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u759, _u760)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u759, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u758, _u760))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u761, _u762) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u762, _u761)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__iff__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u767, _u769) | ( _u769 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u767, skolem24(_u769, _u767))) )).
% 12.17/12.36 cnf(fact_le__iff__add-2, axiom, ( ( _u770 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u768, _u764)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u768, _u770) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u771) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 12.17/12.36 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) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__add1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u773, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u773, _u774)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__add2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u775, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u775)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u777) | ( c_Groups_Oplus__class_Oplus(_u777, _u778, _u778) != c_Groups_Ozero__class_Ozero(_u777)) | ( _u778 = c_Groups_Ozero__class_Ozero(_u777)) )).
% 12.17/12.36 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u777) | ( _u778 != c_Groups_Ozero__class_Ozero(_u777)) | ( c_Groups_Oplus__class_Oplus(_u777, _u778, _u778) = c_Groups_Ozero__class_Ozero(_u777)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__less__SucD-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u779), c_Nat_OSuc(_u780)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u779, _u780) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__lessD-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u781), _u782) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u781, _u782) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__SucE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u783, c_Nat_OSuc(_u784)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u783, _u784) | ( _u783 = _u784) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__trans__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u785, _u786) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u786, _u787) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u785), _u787) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__lessI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u788, _u789) | ( c_Nat_OSuc(_u788) = _u789) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u788), _u789) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__SucI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u790, _u791) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u790, c_Nat_OSuc(_u791)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__antisym-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u792, _u793) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u792, c_Nat_OSuc(_u793)) | ( _u793 = _u792) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__less__less__Suc__eq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, _u795) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, c_Nat_OSuc(_u795)) | ( _u794 = _u795) )).
% 12.17/12.36 cnf(fact_not__less__less__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, _u795) | ( _u794 != _u795) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, c_Nat_OSuc(_u795)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__less__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u798), c_Nat_OSuc(_u800)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u798, _u800) )).
% 12.17/12.36 cnf(fact_Suc__less__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u799, _u801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u799), c_Nat_OSuc(_u801)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u804, c_Nat_OSuc(_u806)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u804, _u806) | ( _u804 = _u806) )).
% 12.17/12.36 cnf(fact_less__Suc__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, c_Nat_OSuc(_u807)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, _u807) )).
% 12.17/12.36 cnf(fact_less__Suc__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, c_Nat_OSuc(_u807)) | ( _u805 != _u807) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__less__eq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u810, _u812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u812, c_Nat_OSuc(_u810)) )).
% 12.17/12.36 cnf(fact_not__less__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u813, c_Nat_OSuc(_u811)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u811, _u813) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_gr0__conv__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u817) | ( _u817 = c_Nat_OSuc(skolem25(_u817))) )).
% 12.17/12.36 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u818 != c_Nat_OSuc(_u815)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u818) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__Suc0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u820, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u820 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_less__Suc0-2, axiom, ( ( _u821 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u821, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u826, c_Nat_OSuc(_u828)) | ( _u826 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u826 = c_Nat_OSuc(skolem26(_u828, _u826))) )).
% 12.17/12.36 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u826, c_Nat_OSuc(_u828)) | ( _u826 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem26(_u828, _u826), _u828) )).
% 12.17/12.36 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u827, c_Nat_OSuc(_u829)) | ( _u827 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u827, c_Nat_OSuc(_u829)) | ( _u827 != c_Nat_OSuc(_u823)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u823, _u829) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__eq__Suc__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u832, _u834) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u832), _u834) )).
% 12.17/12.36 cnf(fact_less__eq__Suc__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u833), _u835) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u833, _u835) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__Suc__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u838, c_Nat_OSuc(_u840)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u838, _u840) )).
% 12.17/12.36 cnf(fact_less__Suc__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u839, _u841) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u839, c_Nat_OSuc(_u841)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__le__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u844), _u846) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u844, _u846) )).
% 12.17/12.36 cnf(fact_Suc__le__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u845, _u847) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u845), _u847) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__imp__less__Suc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u848, _u849) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u848, c_Nat_OSuc(_u849)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__leI-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u850, _u851) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u850), _u851) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__less__Suc__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u852, _u853) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u853, c_Nat_OSuc(_u852)) | ( _u853 = _u852) )).
% 12.17/12.36 cnf(fact_le__less__Suc__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u852, _u853) | ( _u853 != _u852) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u853, c_Nat_OSuc(_u852)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__le__lessD-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u854), _u855) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u854, _u855) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__Suc__shift-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u856), _u857) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u856, c_Nat_OSuc(_u857))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__Suc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u858), _u859) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u858, _u859))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__Suc__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, c_Nat_OSuc(_u861)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, _u861))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_one__is__add-1, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u864 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u864 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_one__is__add-2, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u864 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u866 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_one__is__add-3, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u866 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u864 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_one__is__add-4, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u866 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u866 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_one__is__add-5, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u865, _u867)) | ( _u865 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_one__is__add-6, axiom, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u865, _u867)) | ( _u865 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u867 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__is__1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_add__is__1-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_add__is__1-3, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u870 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_add__is__1-4, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u872 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_add__is__1-5, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u871, _u873) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u871 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u873 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_add__is__1-6, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u871, _u873) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u871 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u873 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__lessD1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u874, _u875), _u876) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u874, _u876) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__add__eq__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u877, _u878) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u879, _u878) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u877, _u880)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u879, _u880) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u881, _u882) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u883, _u884) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u881, _u883), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u882, _u884)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u885, _u886) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u885, _u887), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u886, _u887)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_trans__less__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u888, _u889) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u888, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u890, _u889)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_trans__less__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u891, _u892) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u891, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u892, _u893)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__add__left__cancel__less-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u899, _u901) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u897, _u899), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u897, _u901)) )).
% 12.17/12.36 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u900, _u902) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u898, _u900), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u898, _u902)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 12.17/12.36 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, _u905, _u907)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u905) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u907) )).
% 12.17/12.36 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, _u906, _u908)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u906) )).
% 12.17/12.36 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, _u906, _u908)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u908) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__add__less2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u909, _u910), _u910) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__add__less1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u911, _u912), _u911) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_One__nat__def-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__lt__two__imp__zero__or__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__lt__two__imp__zero__or__one-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u913, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u913 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u913 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u914) | c_Orderings_Oord__class_Oless__eq(_u914, _u915, _u915) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mth1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mth1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem28), v_r) )).
% 12.17/12.36 cnf(fact_mth1-2, axiom, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem28)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem27)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__minus-1, axiom, ( ~class_Rings_Ocomm__ring(_u918) | ( hAPP(c_Polynomial_Opoly(_u918, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u918), _u919)), _u920) = c_Groups_Ouminus__class_Ouminus(_u918, hAPP(c_Polynomial_Opoly(_u918, _u919), _u920))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u921) | ( hAPP(c_Polynomial_Opoly(_u921, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u921))), _u922) = c_Groups_Oone__class_Oone(_u921)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__add-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u923) | ( hAPP(c_Polynomial_Opoly(_u923, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u923), _u924, _u925)), _u926) = c_Groups_Oplus__class_Oplus(_u923, hAPP(c_Polynomial_Opoly(_u923, _u924), _u926), hAPP(c_Polynomial_Opoly(_u923, _u925), _u926))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u927) | ( hAPP(c_Polynomial_Opoly(_u927, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u927))), _u928) = c_Groups_Ozero__class_Ozero(_u927)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u929, _u930) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u929, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u931, _u930)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__poly__code_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__poly__code_I1_J-1, axiom, ( ~class_Groups_Oab__group__add(_u932) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u932), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u932))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u932))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__poly__code_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__poly__code_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u933) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u933), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u933)), _u934) = _u934) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__poly__code_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__poly__code_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u935) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u935), _u936, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u935))) = _u936) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u939) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u940, _u939), _u941, _u942) | c_Orderings_Oord__class_Oless__eq(_u939, hAPP(_u941, _u937), hAPP(_u942, _u937)) )).
% 12.17/12.36 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u939) | ~c_Orderings_Oord__class_Oless__eq(_u939, hAPP(_u941, skolem29(_u942, _u941, _u940, _u939)), hAPP(_u942, skolem29(_u942, _u941, _u940, _u939))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u940, _u939), _u941, _u942) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u943) | c_Orderings_Oord__class_Oless__eq(_u943, _u944, _u945) | c_Orderings_Oord__class_Oless__eq(_u943, _u945, _u944) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u946) | ( _u947 != _u948) | c_Orderings_Oord__class_Oless__eq(_u946, _u947, _u948) )).
% 12.17/12.36 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u946) | ( _u947 != _u948) | c_Orderings_Oord__class_Oless__eq(_u946, _u948, _u947) )).
% 12.17/12.36 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u946) | ~c_Orderings_Oord__class_Oless__eq(_u946, _u947, _u948) | ~c_Orderings_Oord__class_Oless__eq(_u946, _u948, _u947) | ( _u947 = _u948) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u949) | ( _u950 != _u951) | c_Orderings_Oord__class_Oless__eq(_u949, _u950, _u951) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u952) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952), _u954, _u955) | c_Orderings_Oord__class_Oless__eq(_u952, hAPP(_u954, _u956), hAPP(_u955, _u956)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u957) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u958, _u959) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u959, _u958) | ( _u959 = _u958) )).
% 12.17/12.36 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u957) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u958, _u959) | ( _u959 != _u958) | c_Orderings_Oord__class_Oless__eq(_u957, _u959, _u958) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u960) | ( _u961 != _u962) | ~c_Orderings_Oord__class_Oless__eq(_u960, _u962, _u963) | c_Orderings_Oord__class_Oless__eq(_u960, _u961, _u963) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u964) | ( _u965 != _u966) | ~c_Orderings_Oord__class_Oless__eq(_u964, _u967, _u966) | c_Orderings_Oord__class_Oless__eq(_u964, _u967, _u965) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u968) | ~c_Orderings_Oord__class_Oless__eq(_u968, _u969, _u970) | ( _u970 != _u971) | c_Orderings_Oord__class_Oless__eq(_u968, _u969, _u971) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u972) | ~c_Orderings_Oord__class_Oless__eq(_u972, _u973, _u974) | ( _u973 != _u975) | c_Orderings_Oord__class_Oless__eq(_u972, _u975, _u974) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u976) | ~c_Orderings_Oord__class_Oless__eq(_u976, _u977, _u978) | ~c_Orderings_Oord__class_Oless__eq(_u976, _u978, _u977) | ( _u977 = _u978) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u979) | ~c_Orderings_Oord__class_Oless__eq(_u979, _u980, _u981) | ~c_Orderings_Oord__class_Oless__eq(_u979, _u981, _u982) | c_Orderings_Oord__class_Oless__eq(_u979, _u980, _u982) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u983) | ~c_Orderings_Oord__class_Oless__eq(_u983, _u984, _u985) | ~c_Orderings_Oord__class_Oless__eq(_u983, _u985, _u984) | ( _u985 = _u984) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u986) | ~c_Orderings_Oord__class_Oless__eq(_u986, _u987, _u988) | ~c_Orderings_Oord__class_Oless__eq(_u986, _u989, _u987) | c_Orderings_Oord__class_Oless__eq(_u986, _u989, _u988) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u990) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u991, _u990), _u992, _u993) | c_Orderings_Oord__class_Oless__eq(_u990, hAPP(_u992, _u994), hAPP(_u993, _u994)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u995) | c_Orderings_Oord__class_Oless__eq(_u995, _u996, _u997) | c_Orderings_Oord__class_Oless__eq(_u995, _u997, _u996) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u998) | ~c_Orderings_Oord__class_Oless(_u998, _u999, _u999) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 = _u1002) | c_Orderings_Oord__class_Oless(_u1000, _u1001, _u1002) | c_Orderings_Oord__class_Oless(_u1000, _u1002, _u1001) )).
% 12.17/12.36 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 != _u1002) | ~c_Orderings_Oord__class_Oless(_u1000, _u1001, _u1002) )).
% 12.17/12.36 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 != _u1002) | ~c_Orderings_Oord__class_Oless(_u1000, _u1002, _u1001) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1003) | c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | c_Orderings_Oord__class_Oless(_u1003, _u1005, _u1004) | ( _u1004 = _u1005) )).
% 12.17/12.36 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1003) | ~c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | ~c_Orderings_Oord__class_Oless(_u1003, _u1005, _u1004) )).
% 12.17/12.36 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1003) | ~c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | ( _u1004 != _u1005) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1006) | c_Orderings_Oord__class_Oless(_u1006, _u1007, _u1008) | ( _u1007 = _u1008) | c_Orderings_Oord__class_Oless(_u1006, _u1008, _u1007) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1009) | c_Orderings_Oord__class_Oless(_u1009, _u1010, _u1011) | c_Orderings_Oord__class_Oless(_u1009, _u1011, _u1010) | ( _u1011 = _u1010) )).
% 12.17/12.36 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1009) | c_Orderings_Oord__class_Oless(_u1009, _u1010, _u1011) | ( _u1011 != _u1010) | ~c_Orderings_Oord__class_Oless(_u1009, _u1011, _u1010) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1012) | ( _u1013 = _u1014) | c_Orderings_Oord__class_Oless(_u1012, _u1013, _u1014) | c_Orderings_Oord__class_Oless(_u1012, _u1014, _u1013) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1015) | ~c_Orderings_Oord__class_Oless(_u1015, _u1016, _u1017) | ( _u1016 != _u1017) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1018) | ~c_Orderings_Oord__class_Oless(_u1018, _u1019, _u1020) | ~c_Orderings_Oord__class_Oless(_u1018, _u1020, _u1019) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1021) | ~c_Orderings_Oord__class_Oless(_u1021, _u1022, _u1023) | ~c_Orderings_Oord__class_Oless(_u1021, _u1023, _u1022) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1024) | ~c_Orderings_Oord__class_Oless(_u1024, _u1025, _u1026) | ( _u1025 != _u1026) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1027) | ~c_Orderings_Oord__class_Oless(_u1027, _u1028, _u1029) | ( _u1029 != _u1028) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1030) | ~c_Orderings_Oord__class_Oless(_u1030, _u1031, _u1032) | ~c_Orderings_Oord__class_Oless(_u1030, _u1032, _u1031) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, _u1034, _u1035) | ~c_Orderings_Oord__class_Oless(_u1033, _u1035, _u1034) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1036) | ( _u1037 != _u1038) | ~c_Orderings_Oord__class_Oless(_u1036, _u1038, _u1039) | c_Orderings_Oord__class_Oless(_u1036, _u1037, _u1039) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1040) | ( _u1041 != _u1042) | ~c_Orderings_Oord__class_Oless(_u1040, _u1043, _u1042) | c_Orderings_Oord__class_Oless(_u1040, _u1043, _u1041) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1044) | ~c_Orderings_Oord__class_Oless(_u1044, _u1045, _u1046) | ( _u1046 != _u1047) | c_Orderings_Oord__class_Oless(_u1044, _u1045, _u1047) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1048) | ~c_Orderings_Oord__class_Oless(_u1048, _u1049, _u1050) | ( _u1049 != _u1051) | c_Orderings_Oord__class_Oless(_u1048, _u1051, _u1050) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1052) | ~c_Orderings_Oord__class_Oless(_u1052, _u1053, _u1054) | ~c_Orderings_Oord__class_Oless(_u1052, _u1054, _u1055) | c_Orderings_Oord__class_Oless(_u1052, _u1053, _u1055) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1056) | ~c_Orderings_Oord__class_Oless(_u1056, _u1057, _u1058) | ~c_Orderings_Oord__class_Oless(_u1056, _u1059, _u1057) | c_Orderings_Oord__class_Oless(_u1056, _u1059, _u1058) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1060) | ~c_Orderings_Oord__class_Oless(_u1060, _u1061, _u1062) | ~c_Orderings_Oord__class_Oless(_u1060, _u1062, _u1061) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1063) | c_Orderings_Oord__class_Oless(_u1063, _u1064, _u1065) | ( _u1064 = _u1065) | c_Orderings_Oord__class_Oless(_u1063, _u1065, _u1064) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__zero-1, axiom, ( ~class_Int_Oring__char__0(_u1066) | ~class_Rings_Oidom(_u1066) | ( c_Polynomial_Opoly(_u1066, _u1067) != c_Polynomial_Opoly(_u1066, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066)))) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066))) )).
% 12.17/12.36 cnf(fact_poly__zero-2, axiom, ( ~class_Int_Oring__char__0(_u1066) | ~class_Rings_Oidom(_u1066) | ( _u1067 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066))) | ( c_Polynomial_Opoly(_u1066, _u1067) = c_Polynomial_Opoly(_u1066, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__eq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u1068) | ~class_Rings_Oidom(_u1068) | ( c_Polynomial_Opoly(_u1068, _u1069) != c_Polynomial_Opoly(_u1068, _u1070)) | ( _u1069 = _u1070) )).
% 12.17/12.36 cnf(fact_poly__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u1068) | ~class_Rings_Oidom(_u1068) | ( _u1069 != _u1070) | ( c_Polynomial_Opoly(_u1068, _u1069) = c_Polynomial_Opoly(_u1068, _u1070)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1071) | c_Orderings_Oord__class_Oless(_u1071, _u1072, _u1073) | c_Orderings_Oord__class_Oless__eq(_u1071, _u1073, _u1072) )).
% 12.17/12.36 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1071) | ~c_Orderings_Oord__class_Oless__eq(_u1071, _u1073, _u1072) | ~c_Orderings_Oord__class_Oless(_u1071, _u1072, _u1073) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1074) | c_Orderings_Oord__class_Oless__eq(_u1074, _u1075, _u1076) | c_Orderings_Oord__class_Oless(_u1074, _u1076, _u1075) )).
% 12.17/12.36 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1074) | ~c_Orderings_Oord__class_Oless(_u1074, _u1076, _u1075) | ~c_Orderings_Oord__class_Oless__eq(_u1074, _u1075, _u1076) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1077) | c_Orderings_Oord__class_Oless__eq(_u1077, _u1078, _u1079) | c_Orderings_Oord__class_Oless(_u1077, _u1079, _u1078) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) | c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1082) )).
% 12.17/12.36 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) | ( _u1081 != _u1082) )).
% 12.17/12.36 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1082) | ( _u1081 = _u1082) | c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) | c_Orderings_Oord__class_Oless__eq(_u1083, _u1084, _u1085) )).
% 12.17/12.36 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) | ~c_Orderings_Oord__class_Oless__eq(_u1083, _u1085, _u1084) )).
% 12.17/12.36 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless__eq(_u1083, _u1084, _u1085) | c_Orderings_Oord__class_Oless__eq(_u1083, _u1085, _u1084) | c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1086) | ~c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) | ( _u1087 = _u1088) )).
% 12.17/12.36 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1086) | c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | ~c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) )).
% 12.17/12.36 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1086) | c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | ( _u1087 != _u1088) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_leI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1089) | c_Orderings_Oord__class_Oless(_u1089, _u1090, _u1091) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1091, _u1090) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1092) | c_Orderings_Oord__class_Oless__eq(_u1092, _u1093, _u1094) | c_Orderings_Oord__class_Oless(_u1092, _u1094, _u1093) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1095) | c_Orderings_Oord__class_Oless(_u1095, _u1096, _u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1095, _u1096, _u1097) | ( _u1096 = _u1097) )).
% 12.17/12.36 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1095) | c_Orderings_Oord__class_Oless(_u1095, _u1096, _u1097) | ( _u1096 != _u1097) | c_Orderings_Oord__class_Oless__eq(_u1095, _u1096, _u1097) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1098) | ( _u1099 = _u1100) | ~c_Orderings_Oord__class_Oless__eq(_u1098, _u1099, _u1100) | c_Orderings_Oord__class_Oless(_u1098, _u1099, _u1100) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1101) | ( _u1102 = _u1103) | ~c_Orderings_Oord__class_Oless__eq(_u1101, _u1103, _u1102) | c_Orderings_Oord__class_Oless(_u1101, _u1103, _u1102) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_leD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1104) | ~c_Orderings_Oord__class_Oless__eq(_u1104, _u1105, _u1106) | ~c_Orderings_Oord__class_Oless(_u1104, _u1106, _u1105) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1107) | ~c_Orderings_Oord__class_Oless(_u1107, _u1108, _u1109) | c_Orderings_Oord__class_Oless__eq(_u1107, _u1108, _u1109) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1110) | ~c_Orderings_Oord__class_Oless__eq(_u1110, _u1111, _u1112) | c_Orderings_Oord__class_Oless(_u1110, _u1111, _u1112) | ( _u1111 = _u1112) )).
% 12.17/12.36 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1110) | ~c_Orderings_Oord__class_Oless__eq(_u1110, _u1111, _u1112) | ( _u1111 != _u1112) | ~c_Orderings_Oord__class_Oless(_u1110, _u1111, _u1112) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1113) | ~c_Orderings_Oord__class_Oless__eq(_u1113, _u1114, _u1115) | c_Orderings_Oord__class_Oless(_u1113, _u1114, _u1115) | ( _u1114 = _u1115) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1116) | ~c_Orderings_Oord__class_Oless__eq(_u1116, _u1117, _u1118) | ( _u1117 = _u1118) | c_Orderings_Oord__class_Oless(_u1116, _u1117, _u1118) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1119) | ~c_Orderings_Oord__class_Oless__eq(_u1119, _u1120, _u1121) | ( _u1121 = _u1120) | c_Orderings_Oord__class_Oless(_u1119, _u1120, _u1121) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1124) | ~c_Orderings_Oord__class_Oless__eq(_u1122, _u1124, _u1125) | c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1125) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, _u1127, _u1128) | ~c_Orderings_Oord__class_Oless__eq(_u1126, _u1129, _u1127) | c_Orderings_Oord__class_Oless(_u1126, _u1129, _u1128) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1130) | ~c_Orderings_Oord__class_Oless__eq(_u1130, _u1131, _u1132) | ~c_Orderings_Oord__class_Oless(_u1130, _u1132, _u1133) | c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1134) | ~c_Orderings_Oord__class_Oless__eq(_u1134, _u1135, _u1136) | ~c_Orderings_Oord__class_Oless(_u1134, _u1137, _u1135) | c_Orderings_Oord__class_Oless(_u1134, _u1137, _u1136) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1138, _u1139) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1138, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1139, _u1140)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1141, _u1142) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1141, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1143, _u1142)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1144, _u1145) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1144, _u1145) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1146, _u1147) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1146, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1147, _u1148)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_psize__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_psize__eq__0__iff-1, axiom, ( ~class_Groups_Ozero(_u1149) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u1149, _u1150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1150 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1149))) )).
% 12.17/12.36 cnf(fact_psize__eq__0__iff-2, axiom, ( ~class_Groups_Ozero(_u1149) | ( _u1150 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1149))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u1149, _u1150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_order__root ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_order__root-1, axiom, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) != c_Groups_Ozero__class_Ozero(_u1151)) | ( _u1152 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1151))) | ( c_Polynomial_Oorder(_u1151, _u1153, _u1152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_order__root-2, axiom, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) = c_Groups_Ozero__class_Ozero(_u1151)) | ( _u1152 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1151))) )).
% 12.17/12.36 cnf(fact_order__root-3, axiom, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) = c_Groups_Ozero__class_Ozero(_u1151)) | ( c_Polynomial_Oorder(_u1151, _u1153, _u1152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__Suc__ex__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__Suc__ex__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1158, _u1160) | ( _u1160 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1158, skolem30(_u1160, _u1158))) )).
% 12.17/12.36 cnf(fact_le__Suc__ex__iff-2, axiom, ( ( _u1161 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1159, _u1155)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1159, _u1161) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_decseq__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_decseq__def-1, axiom, ( ~class_Orderings_Oorder(_u1166) | ~c_SEQ_Odecseq(_u1166, _u1167) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1163, _u1162) | c_Orderings_Oord__class_Oless__eq(_u1166, hAPP(_u1167, _u1162), hAPP(_u1167, _u1163)) )).
% 12.17/12.36 cnf(fact_decseq__def-2, axiom, ( ~class_Orderings_Oorder(_u1166) | c_SEQ_Odecseq(_u1166, _u1167) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem31(_u1167, _u1166), skolem32(_u1167, _u1166)) )).
% 12.17/12.36 cnf(fact_decseq__def-3, axiom, ( ~class_Orderings_Oorder(_u1166) | c_SEQ_Odecseq(_u1166, _u1167) | ~c_Orderings_Oord__class_Oless__eq(_u1166, hAPP(_u1167, skolem32(_u1167, _u1166)), hAPP(_u1167, skolem31(_u1167, _u1166))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1168) | ~c_Orderings_Oord__class_Oless__eq(_u1168, c_Groups_Ouminus__class_Ouminus(_u1168, _u1169), c_Groups_Ouminus__class_Ouminus(_u1168, _u1170)) | c_Orderings_Oord__class_Oless__eq(_u1168, _u1170, _u1169) )).
% 12.17/12.36 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u1168) | ~c_Orderings_Oord__class_Oless__eq(_u1168, _u1170, _u1169) | c_Orderings_Oord__class_Oless__eq(_u1168, c_Groups_Ouminus__class_Ouminus(_u1168, _u1169), c_Groups_Ouminus__class_Ouminus(_u1168, _u1170)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, _u1172, _u1173) | c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Ouminus__class_Ouminus(_u1171, _u1173), c_Groups_Ouminus__class_Ouminus(_u1171, _u1172)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1176, _u1177) )).
% 12.17/12.36 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1177, _u1176) )).
% 12.17/12.36 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1176, _u1177) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1177, _u1176) | c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1178) | ( c_Groups_Ouminus__class_Ouminus(_u1178, _u1179) != c_Groups_Ouminus__class_Ouminus(_u1178, _u1180)) | ( _u1179 = _u1180) )).
% 12.17/12.36 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u1178) | ( _u1179 != _u1180) | ( c_Groups_Ouminus__class_Ouminus(_u1178, _u1179) = c_Groups_Ouminus__class_Ouminus(_u1178, _u1180)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u1181) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1182, _u1181), _u1183), _u1184) = c_Groups_Ouminus__class_Ouminus(_u1181, hAPP(_u1183, _u1184))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1185) | ( c_Groups_Ouminus__class_Ouminus(_u1185, c_Groups_Ouminus__class_Ouminus(_u1185, _u1186)) = _u1186) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1187) | ( _u1188 != c_Groups_Oplus__class_Oplus(_u1187, _u1188, _u1189)) | ( _u1189 = c_Groups_Ozero__class_Ozero(_u1187)) )).
% 12.17/12.36 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1187) | ( _u1189 != c_Groups_Ozero__class_Ozero(_u1187)) | ( _u1188 = c_Groups_Oplus__class_Oplus(_u1187, _u1188, _u1189)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1190) | ( c_Groups_Oplus__class_Oplus(_u1190, _u1191, c_Groups_Ozero__class_Ozero(_u1190)) = _u1191) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1192) | ( c_Groups_Oplus__class_Oplus(_u1192, c_Groups_Ozero__class_Ozero(_u1192), _u1193) = _u1193) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1194), _u1195) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1195, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1194), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatceiling(_u1195) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1194, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__bound__exists ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__bound__exists-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem33(_u1199, _u1198)) )).
% 12.17/12.36 cnf(fact_poly__bound__exists-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1196), _u1198) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u1199), _u1196)), skolem33(_u1199, _u1198)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__real__of__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__real__of__nat-1, axiom, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u1200)) = _u1200) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__zero ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__natceiling ( axiom ) converted to clauses:
% 12.17/12.36 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(_u1201)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1202, _u1203) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1202), c_RComplete_Onatceiling(_u1203)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__natceiling__ge ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__natceiling__ge-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1204, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u1204))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__one ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1205, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u1205) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1206, c_RealDef_Oreal(tc_Nat_Onat, _u1207)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1206), _u1207) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1208) | ( c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210) = c_Groups_Oplus__class_Oplus(_u1208, _u1210, _u1209)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1211) | ( c_Groups_Oplus__class_Oplus(_u1211, _u1212, c_Groups_Oplus__class_Oplus(_u1211, _u1213, _u1214)) = c_Groups_Oplus__class_Oplus(_u1211, _u1213, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1214))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1215) | ( c_Groups_Oplus__class_Oplus(_u1215, _u1216, c_Groups_Oplus__class_Oplus(_u1215, _u1217, _u1218)) = c_Groups_Oplus__class_Oplus(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), _u1218)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1219) | ( c_Groups_Oplus__class_Oplus(_u1219, c_Groups_Oplus__class_Oplus(_u1219, _u1220, _u1221), _u1222) = c_Groups_Oplus__class_Oplus(_u1219, _u1220, c_Groups_Oplus__class_Oplus(_u1219, _u1221, _u1222))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1223) | ( c_Groups_Oplus__class_Oplus(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1224, _u1225), _u1226) = c_Groups_Oplus__class_Oplus(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1224, _u1226), _u1225)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1227) | ( c_Groups_Oplus__class_Oplus(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1229), c_Groups_Oplus__class_Oplus(_u1227, _u1230, _u1231)) = c_Groups_Oplus__class_Oplus(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1230), c_Groups_Oplus__class_Oplus(_u1227, _u1229, _u1231))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__le__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__le__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1232) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1232), _u1233) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1232, c_RealDef_Oreal(tc_Nat_Onat, _u1233)) )).
% 12.17/12.36 cnf(fact_natceiling__le__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1232) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1232, c_RealDef_Oreal(tc_Nat_Onat, _u1233)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1232), _u1233) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__le__eq__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__le__eq__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1235), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1235, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.36 cnf(fact_natceiling__le__eq__one-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1236, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1236), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1237, c_RealDef_Oreal(tc_Nat_Onat, _u1238))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u1237), _u1238)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natceiling__add__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natceiling__add__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1239, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u1239), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__add__one ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__add__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1240) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1240, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u1240), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem34(_u1244, _u1243), _u1244) )).
% 12.17/12.36 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1241, skolem34(_u1244, _u1243)) | ~hBOOL(hAPP(_u1243, _u1241)) )).
% 12.17/12.36 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | hBOOL(hAPP(_u1243, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, skolem34(_u1244, _u1243), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_reals__Archimedean6a ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_reals__Archimedean6a-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, skolem35(_u1246)), _u1246) )).
% 12.17/12.36 cnf(fact_reals__Archimedean6a-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem35(_u1246)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1247), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1248, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1247), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatfloor(_u1248) = _u1247) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ge__natfloor__plus__one__imp__gt ( axiom ) converted to clauses:
% 12.17/12.36 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(_u1249), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u1250) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1249, c_RealDef_Oreal(tc_Nat_Onat, _u1250)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__real__of__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__real__of__nat-1, axiom, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u1251)) = _u1251) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__zero ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__natfloor ( axiom ) converted to clauses:
% 12.17/12.36 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(_u1252)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1253, _u1254) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u1253), c_RComplete_Onatfloor(_u1254)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__one ( axiom ) converted to clauses:
% 12.17/12.36 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)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1255, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u1255) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__natfloor__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__natfloor__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1256) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u1256)), _u1256) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__natfloor ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1257), _u1258) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1257, c_RComplete_Onatfloor(_u1258)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__natfloor__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__natfloor__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1259) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1260, c_RComplete_Onatfloor(_u1259)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1260), _u1259) )).
% 12.17/12.36 cnf(fact_le__natfloor__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1259) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1260), _u1259) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1260, c_RComplete_Onatfloor(_u1259)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__natfloor__eq__one ( axiom ) converted to clauses:
% 12.17/12.36 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(_u1262)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1262) )).
% 12.17/12.36 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), _u1263) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u1263)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__natfloor__add__one__gt ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__natfloor__add__one__gt-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1264, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u1264)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__natfloor ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1265) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1265, c_RealDef_Oreal(tc_Nat_Onat, _u1266)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_RComplete_Onatfloor(_u1265), _u1266) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__add ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1267) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1267, c_RealDef_Oreal(tc_Nat_Onat, _u1268))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u1267), _u1268)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_natfloor__div__nat ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_natfloor__div__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1269) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1270) | ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1269, c_RealDef_Oreal(tc_Nat_Onat, _u1270))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_RComplete_Onatfloor(_u1269), _u1270)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Bseq__iff1a ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Bseq__iff1a-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1275) | ~c_SEQ_OBseq(_u1275, _u1276) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1275, hAPP(_u1276, _u1271)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem36(_u1276, _u1275)))) )).
% 12.17/12.36 cnf(fact_Bseq__iff1a-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1275) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1275, hAPP(_u1276, skolem37(_u1276, _u1275, _u1274))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u1274))) | c_SEQ_OBseq(_u1275, _u1276) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Bseq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Bseq__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1281) | ~c_SEQ_OBseq(_u1281, _u1282) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1281, hAPP(_u1282, _u1277)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem38(_u1282, _u1281)))) )).
% 12.17/12.36 cnf(fact_Bseq__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1281) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1281, hAPP(_u1282, skolem39(_u1282, _u1281, _u1280))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u1280))) | c_SEQ_OBseq(_u1281, _u1282) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Bseq__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Bseq__def-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_SEQ_OBseq(_u1287, _u1288) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem40(_u1288, _u1287)) )).
% 12.17/12.36 cnf(fact_Bseq__def-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_SEQ_OBseq(_u1287, _u1288) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1287, hAPP(_u1288, _u1283)), skolem40(_u1288, _u1287)) )).
% 12.17/12.36 cnf(fact_Bseq__def-3, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1286) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1287, hAPP(_u1288, skolem41(_u1288, _u1287, _u1286))), _u1286) | c_SEQ_OBseq(_u1287, _u1288) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_incseq__def ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_incseq__def-1, axiom, ( ~class_Orderings_Oorder(_u1293) | ~c_SEQ_Oincseq(_u1293, _u1294) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1290, _u1289) | c_Orderings_Oord__class_Oless__eq(_u1293, hAPP(_u1294, _u1290), hAPP(_u1294, _u1289)) )).
% 12.17/12.36 cnf(fact_incseq__def-2, axiom, ( ~class_Orderings_Oorder(_u1293) | c_SEQ_Oincseq(_u1293, _u1294) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem42(_u1294, _u1293), skolem43(_u1294, _u1293)) )).
% 12.17/12.36 cnf(fact_incseq__def-3, axiom, ( ~class_Orderings_Oorder(_u1293) | c_SEQ_Oincseq(_u1293, _u1294) | ~c_Orderings_Oord__class_Oless__eq(_u1293, hAPP(_u1294, skolem42(_u1294, _u1293)), hAPP(_u1294, skolem43(_u1294, _u1293))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__div4 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__div4-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1295, _u1296)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1295), c_RealDef_Oreal(tc_Nat_Onat, _u1296))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__less__dividend-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u1297) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1298) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1298, _u1297), _u1298) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1299) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1301, _u1300), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1301, _u1299)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u1302) | ( _u1303 = c_Groups_Ozero__class_Ozero(_u1302)) | ( c_Divides_Odiv__class_Odiv(_u1302, c_Groups_Oplus__class_Oplus(_u1302, _u1304, _u1303), _u1303) = c_Groups_Oplus__class_Oplus(_u1302, c_Divides_Odiv__class_Odiv(_u1302, _u1304, _u1303), c_Groups_Oone__class_Oone(_u1302))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u1305) | ( _u1306 = c_Groups_Ozero__class_Ozero(_u1305)) | ( c_Divides_Odiv__class_Odiv(_u1305, c_Groups_Oplus__class_Oplus(_u1305, _u1306, _u1307), _u1306) = c_Groups_Oplus__class_Oplus(_u1305, c_Divides_Odiv__class_Odiv(_u1305, _u1307, _u1306), c_Groups_Oone__class_Oone(_u1305))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1308, _u1309) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1308, _u1309) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__div__minus__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__div__minus__left-1, axiom, ( ~class_Fields_Ofield(_u1310) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1310), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1310), _u1311), _u1312) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1310), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1310), _u1311, _u1312))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__div__minus__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__div__minus__right-1, axiom, ( ~class_Fields_Ofield(_u1313) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1313), _u1314, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1313), _u1315)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1313), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1313), _u1314, _u1315))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1316) | ( c_Divides_Odiv__class_Odiv(_u1316, c_Groups_Ozero__class_Ozero(_u1316), _u1317) = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1318) | ( c_Divides_Odiv__class_Odiv(_u1318, _u1319, c_Groups_Ozero__class_Ozero(_u1318)) = c_Groups_Ozero__class_Ozero(_u1318)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u1320) | ( c_Divides_Odiv__class_Odiv(_u1320, _u1321, c_Groups_Oone__class_Oone(_u1320)) = _u1321) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1322, _u1323) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1322, _u1324), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1323, _u1324)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__le__dividend-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1325, _u1326), _u1325) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__self ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u1327) | ( _u1328 = c_Groups_Ozero__class_Ozero(_u1327)) | ( c_Divides_Odiv__class_Odiv(_u1327, _u1328, _u1328) = c_Groups_Oone__class_Oone(_u1327)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__1-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1329, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u1329) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Bseq__iff3 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Bseq__iff3-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_SEQ_OBseq(_u1336, _u1337) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem44(_u1337, _u1336)) )).
% 12.17/12.36 cnf(fact_Bseq__iff3-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_SEQ_OBseq(_u1336, _u1337) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1336, c_Groups_Oplus__class_Oplus(_u1336, hAPP(_u1337, _u1330), c_Groups_Ouminus__class_Ouminus(_u1336, hAPP(_u1337, skolem45(_u1337, _u1336))))), skolem44(_u1337, _u1336)) )).
% 12.17/12.36 cnf(fact_Bseq__iff3-3, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1335) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1336, c_Groups_Oplus__class_Oplus(_u1336, hAPP(_u1337, skolem46(_u1337, _u1336, _u1335, _u1334)), c_Groups_Ouminus__class_Ouminus(_u1336, hAPP(_u1337, _u1334)))), _u1335) | c_SEQ_OBseq(_u1336, _u1337) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Bseq__iff2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Bseq__iff2-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_SEQ_OBseq(_u1344, _u1345) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem47(_u1345, _u1344)) )).
% 12.17/12.36 cnf(fact_Bseq__iff2-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_SEQ_OBseq(_u1344, _u1345) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1344, c_Groups_Oplus__class_Oplus(_u1344, hAPP(_u1345, _u1338), c_Groups_Ouminus__class_Ouminus(_u1344, skolem48(_u1345, _u1344)))), skolem47(_u1345, _u1344)) )).
% 12.17/12.36 cnf(fact_Bseq__iff2-3, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1343) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1344, c_Groups_Oplus__class_Oplus(_u1344, hAPP(_u1345, skolem49(_u1345, _u1344, _u1343, _u1342)), c_Groups_Ouminus__class_Ouminus(_u1344, _u1342))), _u1343) | c_SEQ_OBseq(_u1344, _u1345) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_BseqI ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_BseqI-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1347) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1348) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1347, hAPP(_u1349, skolem50(_u1349, _u1348, _u1347))), _u1348) | c_SEQ_OBseq(_u1347, _u1349) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_BseqD ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_BseqD-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1352) | ~c_SEQ_OBseq(_u1352, _u1353) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem51(_u1353, _u1352)) )).
% 12.17/12.36 cnf(fact_BseqD-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1352) | ~c_SEQ_OBseq(_u1352, _u1353) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1352, hAPP(_u1353, _u1350)), skolem51(_u1353, _u1352)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_real__of__nat__div__aux ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_real__of__nat__div__aux-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1354) | ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1355), c_RealDef_Oreal(tc_Nat_Onat, _u1354)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1355, _u1354)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1355, _u1354)), c_RealDef_Oreal(tc_Nat_Onat, _u1354)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_BseqI2_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_BseqI2_H-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1357) | c_SEQ_OBseq(_u1357, _u1359) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1358, skolem52(_u1360, _u1359, _u1358, _u1357)) )).
% 12.17/12.36 cnf(fact_BseqI2_H-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1357) | c_SEQ_OBseq(_u1357, _u1359) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1357, hAPP(_u1359, skolem52(_u1360, _u1359, _u1358, _u1357))), _u1360) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), skolem53(_u1370, _u1368, _u1366)), _u1368) )).
% 12.17/12.36 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), c_Nat_OSuc(skolem53(_u1370, _u1368, _u1366)))) )).
% 12.17/12.36 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u1366, skolem53(_u1370, _u1368, _u1366))) )).
% 12.17/12.36 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), skolem53(_u1370, _u1368, _u1366)), _u1368) )).
% 12.17/12.36 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), c_Nat_OSuc(skolem53(_u1370, _u1368, _u1366)))) )).
% 12.17/12.36 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1366, skolem53(_u1370, _u1368, _u1366))) )).
% 12.17/12.36 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u1367, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1369, _u1371))) | ( _u1371 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u1367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u1367, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1369, _u1371))) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1371), _u1362), _u1369) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1369, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1371), c_Nat_OSuc(_u1362))) | ~hBOOL(hAPP(_u1367, _u1362)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_split__div__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), _u1374) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1374, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), c_Nat_OSuc(_u1373))) | ( _u1373 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) )).
% 12.17/12.36 cnf(fact_split__div__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ( _u1373 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), _u1374) )).
% 12.17/12.36 cnf(fact_split__div__lemma-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ( _u1373 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1374, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), c_Nat_OSuc(_u1373))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1375, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1376), _u1377)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1375, _u1376), _u1377)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1379), _u1380)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1379), c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1378, _u1379), _u1380)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1378, _u1379))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult1__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), _u1382), _u1383) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1382, _u1383)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1382, _u1383)), _u1383))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u1384) | ( c_Groups_Oplus__class_Oplus(_u1384, c_Divides_Odiv__class_Omod(_u1384, _u1385, _u1386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1384), c_Divides_Odiv__class_Odiv(_u1384, _u1385, _u1386)), _u1386)) = _u1385) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u1387) | ( c_Groups_Oplus__class_Oplus(_u1387, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1387), _u1388), c_Divides_Odiv__class_Odiv(_u1387, _u1389, _u1388)), c_Divides_Odiv__class_Omod(_u1387, _u1389, _u1388)) = _u1389) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u1390) | ( c_Groups_Oplus__class_Oplus(_u1390, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1390), c_Divides_Odiv__class_Odiv(_u1390, _u1391, _u1392)), _u1392), c_Divides_Odiv__class_Omod(_u1390, _u1391, _u1392)) = _u1391) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u1393) | ( c_Groups_Oplus__class_Oplus(_u1393, c_Groups_Oplus__class_Oplus(_u1393, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1393), _u1394), c_Divides_Odiv__class_Odiv(_u1393, _u1395, _u1394)), c_Divides_Odiv__class_Omod(_u1393, _u1395, _u1394)), _u1396) = c_Groups_Oplus__class_Oplus(_u1393, _u1395, _u1396)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u1397) | ( c_Groups_Oplus__class_Oplus(_u1397, c_Groups_Oplus__class_Oplus(_u1397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1397), c_Divides_Odiv__class_Odiv(_u1397, _u1398, _u1399)), _u1399), c_Divides_Odiv__class_Omod(_u1397, _u1398, _u1399)), _u1400) = c_Groups_Oplus__class_Oplus(_u1397, _u1398, _u1400)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__mult__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__mult__less-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1401) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, _u1402), _u1403) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, _u1404), _u1405) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1401), _u1402), _u1404)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1403), _u1405)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1407), _u1408)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1409), _u1410)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1407), _u1409)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1408), _u1410))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1412), _u1413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1414), _u1415)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1412), _u1413)), _u1415))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1416) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1417), _u1418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1419), _u1420)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1419), _u1420)))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1421) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), _u1422), _u1423)), _u1424) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), _u1422), _u1424)), _u1423)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1425) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1426), _u1427)), _u1428) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1427), _u1428))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1429) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1431), _u1432)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1430), _u1431)), _u1432)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1433) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1434), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1435), _u1436)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1434), _u1436))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1437) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), _u1439) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1439), _u1438)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1440) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1440), c_Groups_Oone__class_Oone(_u1440)), _u1441) = _u1441) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1442) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), c_Groups_Oone__class_Oone(_u1442)) = _u1443) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1444) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), c_Groups_Oplus__class_Oplus(_u1444, _u1446, _u1447)) = c_Groups_Oplus__class_Oplus(_u1444, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), _u1446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), _u1447))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( _u1449 = _u1450) | ( _u1451 = _u1452) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) != c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) )).
% 12.17/12.36 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) | ( _u1449 != _u1450) )).
% 12.17/12.36 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) | ( _u1451 != _u1452) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1453) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), c_Groups_Oplus__class_Oplus(_u1453, _u1454, _u1455)), _u1456) = c_Groups_Oplus__class_Oplus(_u1453, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), _u1454), _u1456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), _u1455), _u1456))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1457) | ( c_Groups_Oplus__class_Oplus(_u1457, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), _u1458), _u1459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), _u1460), _u1459)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), c_Groups_Oplus__class_Oplus(_u1457, _u1458, _u1460)), _u1459)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) != c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1462 = _u1464) | ( _u1463 = _u1465) )).
% 12.17/12.36 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) = c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1462 != _u1464) )).
% 12.17/12.36 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) = c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1463 != _u1465) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1466) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1466), _u1467), c_Groups_Ozero__class_Ozero(_u1466)) = c_Groups_Ozero__class_Ozero(_u1466)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1468) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1468), c_Groups_Ozero__class_Ozero(_u1468)), _u1469) = c_Groups_Ozero__class_Ozero(_u1468)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1470) | ( c_Groups_Ouminus__class_Ouminus(_u1470, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1470), _u1471), _u1472)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1470), _u1471), c_Groups_Ouminus__class_Ouminus(_u1470, _u1472))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1473) | ( c_Groups_Ouminus__class_Ouminus(_u1473, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1473), _u1474), _u1475)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1473), c_Groups_Ouminus__class_Ouminus(_u1473, _u1474)), _u1475)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1476) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1476), c_Groups_Ouminus__class_Ouminus(_u1476, _u1477)), _u1478) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1476), _u1477), c_Groups_Ouminus__class_Ouminus(_u1476, _u1478))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1479) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), c_Groups_Ouminus__class_Ouminus(_u1479, _u1480)), c_Groups_Ouminus__class_Ouminus(_u1479, _u1481)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1481)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 = _u1484) | ( _u1483 = c_Groups_Ouminus__class_Ouminus(_u1482, _u1484)) )).
% 12.17/12.36 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 != _u1484) )).
% 12.17/12.36 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 != c_Groups_Ouminus__class_Ouminus(_u1482, _u1484)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Ominus__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Ominus__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1485) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1485), _u1486), c_Groups_Ouminus__class_Ouminus(_u1485, _u1487)) = c_Groups_Ouminus__class_Ouminus(_u1485, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1485), _u1486), _u1487))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right_Ominus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1488) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), c_Groups_Ouminus__class_Ouminus(_u1488, _u1490)) = c_Groups_Ouminus__class_Ouminus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Ominus__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Ominus__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1491), c_Groups_Ouminus__class_Ouminus(_u1491, _u1492)), _u1493) = c_Groups_Ouminus__class_Ouminus(_u1491, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1491), _u1492), _u1493))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left_Ominus ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1494) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ouminus__class_Ouminus(_u1494, _u1495)), _u1496) = c_Groups_Ouminus__class_Ouminus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1500), _u1502) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1504), _u1502)) | ( _u1500 = _u1504) | ( _u1502 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1501), _u1503) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1505), _u1503)) | ( _u1501 != _u1505) )).
% 12.17/12.36 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1501), _u1503) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1505), _u1503)) | ( _u1503 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1509), _u1511) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1509), _u1513)) | ( _u1511 = _u1513) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1512) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1514)) | ( _u1512 != _u1514) )).
% 12.17/12.36 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1512) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1514)) | ( _u1510 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1517), _u1519) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1517 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1518), _u1520) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1518), _u1520) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1520 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1521), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1522) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u1523) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1523), _u1524), c_Rings_Oinverse__class_Odivide(_u1523, _u1525, _u1526)) = c_Rings_Oinverse__class_Odivide(_u1523, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1523), _u1524), _u1525), _u1526)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), c_Rings_Oinverse__class_Odivide(_u1527, _u1528, _u1529)), c_Rings_Oinverse__class_Odivide(_u1527, _u1530, _u1531)) = c_Rings_Oinverse__class_Odivide(_u1527, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), _u1528), _u1530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), _u1529), _u1531))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_poly__mult ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_poly__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u1532) | ( hAPP(c_Polynomial_Opoly(_u1532, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u1532)), _u1533), _u1534)), _u1535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1532), hAPP(c_Polynomial_Opoly(_u1532, _u1533), _u1535)), hAPP(c_Polynomial_Opoly(_u1532, _u1534), _u1535))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u1536) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1537), _u1538)), _u1539) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1538), _u1539))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__mult ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u1540) | ( c_RealVector_Onorm__class_Onorm(_u1540, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1540), _u1541), _u1542)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u1540, _u1541)), c_RealVector_Onorm__class_Onorm(_u1540, _u1542))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 12.17/12.36 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), _u1543), _u1544)), _u1545) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1544), _u1545))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1546), _u1547) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1547), _u1546)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u1548) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1548), c_Groups_Oone__class_Oone(_u1548)), _u1549) = _u1549) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1550) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1550), c_Groups_Oone__class_Oone(_u1550)), _u1551) = _u1551) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u1552) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1552), _u1553), c_Groups_Oone__class_Oone(_u1552)) = _u1553) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u1554) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1554), _u1555), c_Groups_Oone__class_Oone(_u1554)) = _u1555) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u1556) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), c_Groups_Oplus__class_Oplus(_u1556, _u1557, _u1558)), _u1559) = c_Groups_Oplus__class_Oplus(_u1556, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), _u1557), _u1559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), _u1558), _u1559))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u1560) | ( c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), _u1561), _u1562), c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), _u1563), _u1562), _u1564)) = c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), c_Groups_Oplus__class_Oplus(_u1560, _u1561, _u1563)), _u1562), _u1564)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Oadd__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Oadd__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1565) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), c_Groups_Oplus__class_Oplus(_u1565, _u1567, _u1568)) = c_Groups_Oplus__class_Oplus(_u1565, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), _u1567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), _u1568))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right_Oadd ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1569) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), c_Groups_Oplus__class_Oplus(_u1569, _u1571, _u1572)) = c_Groups_Oplus__class_Oplus(_u1569, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), _u1571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), _u1572))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Oadd__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Oadd__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), c_Groups_Oplus__class_Oplus(_u1573, _u1574, _u1575)), _u1576) = c_Groups_Oplus__class_Oplus(_u1573, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), _u1574), _u1576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), _u1575), _u1576))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left_Oadd ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1577) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), c_Groups_Oplus__class_Oplus(_u1577, _u1578, _u1579)), _u1580) = c_Groups_Oplus__class_Oplus(_u1577, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), _u1578), _u1580), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), _u1579), _u1580))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1581) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1581), _u1582), _u1583) != c_Groups_Ozero__class_Ozero(_u1581)) | ( _u1582 = c_Groups_Ozero__class_Ozero(_u1581)) | ( _u1583 = c_Groups_Ozero__class_Ozero(_u1581)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u1584) | ( _u1585 = c_Groups_Ozero__class_Ozero(_u1584)) | ( _u1586 = c_Groups_Ozero__class_Ozero(_u1584)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1584), _u1585), _u1586) != c_Groups_Ozero__class_Ozero(_u1584)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) != c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1588 = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1589 = c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.36 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1588 != c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.36 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1589 != c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u1590) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1590), _u1591), c_Groups_Ozero__class_Ozero(_u1590)) = c_Groups_Ozero__class_Ozero(_u1590)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u1592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1592), c_Groups_Ozero__class_Ozero(_u1592)), _u1593) = c_Groups_Ozero__class_Ozero(_u1592)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right_Ozero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1594) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1594), _u1595), c_Groups_Ozero__class_Ozero(_u1594)) = c_Groups_Ozero__class_Ozero(_u1594)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Ozero__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Ozero__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1596), _u1597), c_Groups_Ozero__class_Ozero(_u1596)) = c_Groups_Ozero__class_Ozero(_u1596)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left_Ozero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1598) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), c_Groups_Ozero__class_Ozero(_u1598)), _u1599) = c_Groups_Ozero__class_Ozero(_u1598)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult_Ozero__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult_Ozero__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1600) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1600), c_Groups_Ozero__class_Ozero(_u1600)), _u1601) = c_Groups_Ozero__class_Ozero(_u1600)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_norm__mult__ineq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_norm__mult__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1602) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1602, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1602), _u1603), _u1604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u1602, _u1603)), c_RealVector_Onorm__class_Onorm(_u1602, _u1604))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), _u1607)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), _u1607)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1608), _u1609), _u1609) = _u1609) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1610) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1610), _u1611), _u1611) = _u1611) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 12.17/12.36 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)), _u1612) = _u1612) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 12.17/12.36 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), _u1615), _u1617)) | ( _u1615 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36 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), _u1615), _u1617)) | ( _u1617 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u1616 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1618 != 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), _u1616), _u1618)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1619) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1622), _u1624) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1622 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1622), _u1624) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1624 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u1623 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1625 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1623), _u1625) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__square ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__square-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1626, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1626), _u1626)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_le__cube-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1627), _u1627))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1629), _u1630)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1631, _u1632) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1633), _u1631), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1633), _u1632)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1634, _u1635) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1636, _u1637) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1634), _u1636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1635), _u1637)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1639, _u1640)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), _u1639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), _u1640))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.36 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, _u1641, _u1642)), _u1643) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1641), _u1643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1642), _u1643))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u1649 = _u1651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1647)), _u1649) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1647)), _u1651)) )).
% 12.17/12.36 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u1650 != _u1652) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1648)), _u1650) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1648)), _u1652)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__less__eq__dividend-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1653, _u1654), _u1653) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1655), _u1656) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1655, _u1656)), _u1656)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u1657) | ( c_Divides_Odiv__class_Omod(_u1657, _u1658, _u1659) != c_Divides_Odiv__class_Omod(_u1657, _u1660, _u1659)) | ( c_Divides_Odiv__class_Omod(_u1657, _u1661, _u1659) != c_Divides_Odiv__class_Omod(_u1657, _u1662, _u1659)) | ( c_Divides_Odiv__class_Omod(_u1657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1661), _u1659) = c_Divides_Odiv__class_Omod(_u1657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), _u1662), _u1659)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u1663) | ( c_Divides_Odiv__class_Omod(_u1663, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), c_Divides_Odiv__class_Omod(_u1663, _u1664, _u1665)), _u1666), _u1665) = c_Divides_Odiv__class_Omod(_u1663, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), _u1664), _u1666), _u1665)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u1667) | ( c_Divides_Odiv__class_Omod(_u1667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1670), _u1669)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), c_Divides_Odiv__class_Omod(_u1667, _u1668, _u1670)), _u1669)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u1671) | ( c_Divides_Odiv__class_Omod(_u1671, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), _u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), _u1674)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), c_Divides_Odiv__class_Omod(_u1671, _u1673, _u1674))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1675) | ( c_Divides_Odiv__class_Omod(_u1675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1675), _u1676), _u1677), _u1678) = c_Divides_Odiv__class_Omod(_u1675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1675), c_Divides_Odiv__class_Omod(_u1675, _u1676, _u1678)), c_Divides_Odiv__class_Omod(_u1675, _u1677, _u1678)), _u1678)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1679) | ( c_Divides_Odiv__class_Omod(_u1679, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1679), _u1680), _u1681), _u1682) = c_Divides_Odiv__class_Omod(_u1679, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1679), c_Divides_Odiv__class_Omod(_u1679, _u1680, _u1682)), _u1681), _u1682)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1683) | ( c_Divides_Odiv__class_Omod(_u1683, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1684), _u1685), _u1686) = c_Divides_Odiv__class_Omod(_u1683, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1684), c_Divides_Odiv__class_Omod(_u1683, _u1685, _u1686)), _u1686)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__distrib-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1687, _u1688)), _u1689) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1687), _u1689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1688), _u1689))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u1690) | ( c_Divides_Odiv__class_Omod(_u1690, c_Divides_Odiv__class_Omod(_u1690, _u1691, _u1692), _u1692) = c_Divides_Odiv__class_Omod(_u1690, _u1691, _u1692)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1694, _u1695)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), _u1694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), _u1695))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u1696) | ( c_Divides_Odiv__class_Omod(_u1696, c_Groups_Oplus__class_Oplus(_u1696, _u1697, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1696), _u1698), _u1699)), _u1698) = c_Divides_Odiv__class_Omod(_u1696, _u1697, _u1698)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u1700) | ( c_Divides_Odiv__class_Omod(_u1700, c_Groups_Oplus__class_Oplus(_u1700, _u1701, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1700), _u1702), _u1703)), _u1703) = c_Divides_Odiv__class_Omod(_u1700, _u1701, _u1703)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1704), _u1705), _u1706), _u1705) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1706, _u1705)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u1707) | ( c_Divides_Odiv__class_Omod(_u1707, c_Groups_Oplus__class_Oplus(_u1707, _u1708, _u1709), _u1709) = c_Divides_Odiv__class_Omod(_u1707, _u1708, _u1709)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u1710) | ( c_Divides_Odiv__class_Omod(_u1710, c_Groups_Oplus__class_Oplus(_u1710, _u1711, _u1712), _u1711) = c_Divides_Odiv__class_Omod(_u1710, _u1712, _u1711)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1713) | ( c_Divides_Odiv__class_Omod(_u1713, c_Groups_Oplus__class_Oplus(_u1713, _u1714, _u1715), _u1716) = c_Divides_Odiv__class_Omod(_u1713, c_Groups_Oplus__class_Oplus(_u1713, _u1714, c_Divides_Odiv__class_Omod(_u1713, _u1715, _u1716)), _u1716)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1717) | ( c_Divides_Odiv__class_Omod(_u1717, c_Groups_Oplus__class_Oplus(_u1717, _u1718, _u1719), _u1720) = c_Divides_Odiv__class_Omod(_u1717, c_Groups_Oplus__class_Oplus(_u1717, c_Divides_Odiv__class_Omod(_u1717, _u1718, _u1720), _u1719), _u1720)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u1721) | ( c_Divides_Odiv__class_Omod(_u1721, c_Groups_Oplus__class_Oplus(_u1721, _u1722, _u1723), _u1724) = c_Divides_Odiv__class_Omod(_u1721, c_Groups_Oplus__class_Oplus(_u1721, c_Divides_Odiv__class_Omod(_u1721, _u1722, _u1724), c_Divides_Odiv__class_Omod(_u1721, _u1723, _u1724)), _u1724)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u1725) | ( c_Divides_Odiv__class_Omod(_u1725, c_Groups_Oplus__class_Oplus(_u1725, _u1726, c_Divides_Odiv__class_Omod(_u1725, _u1727, _u1728)), _u1728) = c_Divides_Odiv__class_Omod(_u1725, c_Groups_Oplus__class_Oplus(_u1725, _u1726, _u1727), _u1728)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u1729) | ( c_Divides_Odiv__class_Omod(_u1729, c_Groups_Oplus__class_Oplus(_u1729, c_Divides_Odiv__class_Omod(_u1729, _u1730, _u1731), _u1732), _u1731) = c_Divides_Odiv__class_Omod(_u1729, c_Groups_Oplus__class_Oplus(_u1729, _u1730, _u1732), _u1731)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u1733) | ( c_Divides_Odiv__class_Omod(_u1733, _u1734, _u1735) != c_Divides_Odiv__class_Omod(_u1733, _u1736, _u1735)) | ( c_Divides_Odiv__class_Omod(_u1733, _u1737, _u1735) != c_Divides_Odiv__class_Omod(_u1733, _u1738, _u1735)) | ( c_Divides_Odiv__class_Omod(_u1733, c_Groups_Oplus__class_Oplus(_u1733, _u1734, _u1737), _u1735) = c_Divides_Odiv__class_Omod(_u1733, c_Groups_Oplus__class_Oplus(_u1733, _u1736, _u1738), _u1735)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self4-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1739), _u1740), _u1741)), _u1740) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1741), _u1740)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1742) | ( c_Divides_Odiv__class_Omod(_u1742, c_Groups_Ozero__class_Ozero(_u1742), _u1743) = c_Groups_Ozero__class_Ozero(_u1742)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1744) | ( c_Divides_Odiv__class_Omod(_u1744, _u1745, c_Groups_Ozero__class_Ozero(_u1744)) = _u1745) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u1746) | ( c_Divides_Odiv__class_Omod(_u1746, _u1747, _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1748) | ( c_Divides_Odiv__class_Omod(_u1748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1748), _u1749), _u1750), _u1749) = c_Groups_Ozero__class_Ozero(_u1748)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u1751) | ( c_Divides_Odiv__class_Omod(_u1751, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1751), _u1752), _u1753), _u1753) = c_Groups_Ozero__class_Ozero(_u1751)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1758, _u1760) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1758 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1760), skolem54(_u1760, _u1758))) )).
% 12.17/12.36 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u1759 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1761), _u1755)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1759, _u1761) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u1762) | ( c_Divides_Odiv__class_Omod(_u1762, _u1763, _u1764) != c_Divides_Odiv__class_Omod(_u1762, _u1765, _u1764)) | ( c_Divides_Odiv__class_Omod(_u1762, c_Groups_Ouminus__class_Ouminus(_u1762, _u1763), _u1764) = c_Divides_Odiv__class_Omod(_u1762, c_Groups_Ouminus__class_Ouminus(_u1762, _u1765), _u1764)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u1766) | ( c_Divides_Odiv__class_Omod(_u1766, c_Groups_Ouminus__class_Ouminus(_u1766, _u1767), _u1768) = c_Divides_Odiv__class_Omod(_u1766, c_Groups_Ouminus__class_Ouminus(_u1766, c_Divides_Odiv__class_Omod(_u1766, _u1767, _u1768)), _u1768)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1769, _u1770) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1769, _u1770) = _u1769) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1771) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, _u1773) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1773), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1774, _u1771)), _u1772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1773), _u1771)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u1782, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1784, _u1786))) | ( _u1786 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u1782, _u1784)) )).
% 12.17/12.36 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u1782, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1784, _u1786))) | ( _u1786 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1775, _u1786) | ( _u1784 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1786), _u1776), _u1775)) | hBOOL(hAPP(_u1782, _u1775)) )).
% 12.17/12.36 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem56(_u1787, _u1785, _u1783), _u1787) )).
% 12.17/12.36 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1785 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1787), skolem55(_u1787, _u1785, _u1783)), skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.36 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u1783, skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.36 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ( _u1787 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem56(_u1787, _u1785, _u1783), _u1787) )).
% 12.17/12.36 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ( _u1785 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1787), skolem55(_u1787, _u1785, _u1783)), skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.36 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ~hBOOL(hAPP(_u1783, skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__times__mod__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u1788) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1788), _u1789)), _u1788) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u1790) | ( c_Divides_Odiv__class_Omod(_u1790, _u1791, c_Groups_Oone__class_Oone(_u1790)) = c_Groups_Ozero__class_Ozero(_u1790)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u1792) | ( c_Divides_Odiv__class_Odiv(_u1792, c_Divides_Odiv__class_Omod(_u1792, _u1793, _u1794), _u1794) = c_Groups_Ozero__class_Ozero(_u1792)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1795, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__Suc-1, axiom, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1798, _u1800)) != _u1800) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1798), _u1800) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36 cnf(fact_mod__Suc-2, axiom, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1799, _u1801)) = _u1801) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1799), _u1801) = c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1799, _u1801))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__less__divisor-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1802) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1803, _u1802), _u1802) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u1804) | c_Orderings_Oord__class_Oless__eq(_u1804, c_Groups_Ozero__class_Ozero(_u1804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1804), _u1805), _u1805)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.36 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.36 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.36 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.36 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) )).
% 12.17/12.36 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1806) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.36 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.36 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.36 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.36 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | ~c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.36 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1809) | c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1812) | ~c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), _u1813) | ~c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), _u1814) | c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1812), _u1813), _u1814)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1815) | ~c_Orderings_Oord__class_Oless__eq(_u1815, c_Groups_Ozero__class_Ozero(_u1815), _u1816) | ~c_Orderings_Oord__class_Oless__eq(_u1815, _u1817, c_Groups_Ozero__class_Ozero(_u1815)) | c_Orderings_Oord__class_Oless__eq(_u1815, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1815), _u1816), _u1817), c_Groups_Ozero__class_Ozero(_u1815)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1818) | ~c_Orderings_Oord__class_Oless__eq(_u1818, c_Groups_Ozero__class_Ozero(_u1818), _u1819) | ~c_Orderings_Oord__class_Oless__eq(_u1818, _u1820, c_Groups_Ozero__class_Ozero(_u1818)) | c_Orderings_Oord__class_Oless__eq(_u1818, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1818), _u1820), _u1819), c_Groups_Ozero__class_Ozero(_u1818)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1821) | ~c_Orderings_Oord__class_Oless__eq(_u1821, _u1822, c_Groups_Ozero__class_Ozero(_u1821)) | ~c_Orderings_Oord__class_Oless__eq(_u1821, c_Groups_Ozero__class_Ozero(_u1821), _u1823) | c_Orderings_Oord__class_Oless__eq(_u1821, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1821), _u1822), _u1823), c_Groups_Ozero__class_Ozero(_u1821)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u1824) | ~c_Orderings_Oord__class_Oless__eq(_u1824, _u1825, c_Groups_Ozero__class_Ozero(_u1824)) | ~c_Orderings_Oord__class_Oless__eq(_u1824, _u1826, c_Groups_Ozero__class_Ozero(_u1824)) | c_Orderings_Oord__class_Oless__eq(_u1824, c_Groups_Ozero__class_Ozero(_u1824), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), _u1826)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u1827) | ~c_Orderings_Oord__class_Oless__eq(_u1827, _u1828, _u1829) | ~c_Orderings_Oord__class_Oless__eq(_u1827, c_Groups_Ozero__class_Ozero(_u1827), _u1830) | c_Orderings_Oord__class_Oless__eq(_u1827, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1830)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u1831) | ~c_Orderings_Oord__class_Oless__eq(_u1831, _u1832, _u1833) | ~c_Orderings_Oord__class_Oless__eq(_u1831, c_Groups_Ozero__class_Ozero(_u1831), _u1834) | c_Orderings_Oord__class_Oless__eq(_u1831, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1831), _u1834), _u1832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1831), _u1834), _u1833)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u1835) | ~c_Orderings_Oord__class_Oless__eq(_u1835, _u1836, _u1837) | ~c_Orderings_Oord__class_Oless__eq(_u1835, c_Groups_Ozero__class_Ozero(_u1835), _u1838) | c_Orderings_Oord__class_Oless__eq(_u1835, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1838), _u1836), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1838), _u1837)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u1839) | ~c_Orderings_Oord__class_Oless__eq(_u1839, _u1840, _u1841) | ~c_Orderings_Oord__class_Oless__eq(_u1839, _u1842, c_Groups_Ozero__class_Ozero(_u1839)) | c_Orderings_Oord__class_Oless__eq(_u1839, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1839), _u1841), _u1842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1839), _u1840), _u1842)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u1843) | ~c_Orderings_Oord__class_Oless__eq(_u1843, _u1844, _u1845) | ~c_Orderings_Oord__class_Oless__eq(_u1843, _u1846, c_Groups_Ozero__class_Ozero(_u1843)) | c_Orderings_Oord__class_Oless__eq(_u1843, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1843), _u1846), _u1845), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1843), _u1846), _u1844)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u1847) | ~c_Orderings_Oord__class_Oless__eq(_u1847, _u1848, _u1849) | ~c_Orderings_Oord__class_Oless__eq(_u1847, _u1850, _u1851) | ~c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Ozero__class_Ozero(_u1847), _u1848) | ~c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Ozero__class_Ozero(_u1847), _u1850) | c_Orderings_Oord__class_Oless__eq(_u1847, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1847), _u1848), _u1850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1847), _u1849), _u1851)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u1852) | ~c_Orderings_Oord__class_Oless__eq(_u1852, _u1853, _u1854) | ~c_Orderings_Oord__class_Oless__eq(_u1852, _u1855, _u1856) | ~c_Orderings_Oord__class_Oless__eq(_u1852, c_Groups_Ozero__class_Ozero(_u1852), _u1854) | ~c_Orderings_Oord__class_Oless__eq(_u1852, c_Groups_Ozero__class_Ozero(_u1852), _u1855) | c_Orderings_Oord__class_Oless__eq(_u1852, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1853), _u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1854), _u1856)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u1857) | c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1857), _u1858), _u1859)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), _u1858) | ~c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), _u1859) )).
% 12.17/12.36 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u1857) | c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1857), _u1858), _u1859)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, _u1858, c_Groups_Ozero__class_Ozero(_u1857)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, _u1859, c_Groups_Ozero__class_Ozero(_u1857)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1860) | c_Orderings_Oord__class_Oless__eq(_u1860, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1861), _u1862), c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, c_Groups_Ozero__class_Ozero(_u1860), _u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1860, _u1862, c_Groups_Ozero__class_Ozero(_u1860)) )).
% 12.17/12.36 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u1860) | c_Orderings_Oord__class_Oless__eq(_u1860, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1861), _u1862), c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, _u1861, c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, c_Groups_Ozero__class_Ozero(_u1860), _u1862) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1863) | ~c_Orderings_Oord__class_Oless(_u1863, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1863), _u1864), _u1864), c_Groups_Ozero__class_Ozero(_u1863)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) | c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) | c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | ~c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | ~c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1865) | c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | ~c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) | ~c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) | c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) | c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | ~c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | ~c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1869) | c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | ~c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) | ~c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1873) | ~c_Orderings_Oord__class_Oless(_u1873, c_Groups_Ozero__class_Ozero(_u1873), _u1874) | ~c_Orderings_Oord__class_Oless(_u1873, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1876)) | c_Orderings_Oord__class_Oless(_u1873, _u1875, _u1876) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1873) | ~c_Orderings_Oord__class_Oless(_u1873, c_Groups_Ozero__class_Ozero(_u1873), _u1874) | ~c_Orderings_Oord__class_Oless(_u1873, _u1875, _u1876) | c_Orderings_Oord__class_Oless(_u1873, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1876)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1877) | ~c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), _u1878) | ~c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), _u1879) | c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1877), _u1878), _u1879)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1880) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Ozero__class_Ozero(_u1880), _u1881) | ~c_Orderings_Oord__class_Oless(_u1880, _u1882, c_Groups_Ozero__class_Ozero(_u1880)) | c_Orderings_Oord__class_Oless(_u1880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), _u1881), _u1882), c_Groups_Ozero__class_Ozero(_u1880)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1883) | ~c_Orderings_Oord__class_Oless(_u1883, c_Groups_Ozero__class_Ozero(_u1883), _u1884) | ~c_Orderings_Oord__class_Oless(_u1883, _u1885, c_Groups_Ozero__class_Ozero(_u1883)) | c_Orderings_Oord__class_Oless(_u1883, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1883), _u1885), _u1884), c_Groups_Ozero__class_Ozero(_u1883)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1886) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1886), _u1887), _u1888)) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), _u1887) | c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), _u1888) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1889) | ~c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), _u1891)) | ~c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), _u1891) | c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), _u1890) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1892) | ~c_Orderings_Oord__class_Oless(_u1892, _u1893, c_Groups_Ozero__class_Ozero(_u1892)) | ~c_Orderings_Oord__class_Oless(_u1892, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1895)) | c_Orderings_Oord__class_Oless(_u1892, _u1895, _u1894) )).
% 12.17/12.36 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1892) | ~c_Orderings_Oord__class_Oless(_u1892, _u1893, c_Groups_Ozero__class_Ozero(_u1892)) | ~c_Orderings_Oord__class_Oless(_u1892, _u1895, _u1894) | c_Orderings_Oord__class_Oless(_u1892, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1895)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1896) | ~c_Orderings_Oord__class_Oless(_u1896, _u1897, c_Groups_Ozero__class_Ozero(_u1896)) | ~c_Orderings_Oord__class_Oless(_u1896, c_Groups_Ozero__class_Ozero(_u1896), _u1898) | c_Orderings_Oord__class_Oless(_u1896, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1898), c_Groups_Ozero__class_Ozero(_u1896)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1899) | ~c_Orderings_Oord__class_Oless(_u1899, _u1900, c_Groups_Ozero__class_Ozero(_u1899)) | ~c_Orderings_Oord__class_Oless(_u1899, _u1901, c_Groups_Ozero__class_Ozero(_u1899)) | c_Orderings_Oord__class_Oless(_u1899, c_Groups_Ozero__class_Ozero(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1902) | ~c_Orderings_Oord__class_Oless(_u1902, _u1903, _u1904) | ~c_Orderings_Oord__class_Oless(_u1902, c_Groups_Ozero__class_Ozero(_u1902), _u1905) | c_Orderings_Oord__class_Oless(_u1902, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1903), _u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1904), _u1905)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u1906) | ~c_Orderings_Oord__class_Oless(_u1906, _u1907, _u1908) | ~c_Orderings_Oord__class_Oless(_u1906, c_Groups_Ozero__class_Ozero(_u1906), _u1909) | c_Orderings_Oord__class_Oless(_u1906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1909), _u1907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1909), _u1908)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1910) | ~c_Orderings_Oord__class_Oless(_u1910, _u1911, _u1912) | ~c_Orderings_Oord__class_Oless(_u1910, c_Groups_Ozero__class_Ozero(_u1910), _u1913) | c_Orderings_Oord__class_Oless(_u1910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1910), _u1913), _u1911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1910), _u1913), _u1912)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1914) | ~c_Orderings_Oord__class_Oless(_u1914, _u1915, _u1916) | ~c_Orderings_Oord__class_Oless(_u1914, _u1917, c_Groups_Ozero__class_Ozero(_u1914)) | c_Orderings_Oord__class_Oless(_u1914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1914), _u1916), _u1917), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1914), _u1915), _u1917)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1918) | ~c_Orderings_Oord__class_Oless(_u1918, _u1919, _u1920) | ~c_Orderings_Oord__class_Oless(_u1918, _u1921, c_Groups_Ozero__class_Ozero(_u1918)) | c_Orderings_Oord__class_Oless(_u1918, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1918), _u1921), _u1920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1918), _u1921), _u1919)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1923 = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.36 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1924 = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.36 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( _u1923 != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1924 != c_Groups_Ozero__class_Ozero(_u1922)) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1925) | ( _u1926 = c_Groups_Ozero__class_Ozero(_u1925)) | ( _u1927 != _u1928) | ( _u1929 = _u1930) | ( c_Groups_Oplus__class_Oplus(_u1925, _u1927, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), _u1926), _u1929)) != c_Groups_Oplus__class_Oplus(_u1925, _u1928, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), _u1926), _u1930))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1931) | ~c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), _u1932) | ~c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), _u1933) | c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), _u1933)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1934) | ( c_Groups_Oplus__class_Oplus(_u1934, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1934), _u1935), _u1936), _u1936) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1934), c_Groups_Oplus__class_Oplus(_u1934, _u1935, c_Groups_Oone__class_Oone(_u1934))), _u1936)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1937) | ( c_Groups_Oplus__class_Oplus(_u1937, _u1938, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1937), _u1939), _u1938)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1937), c_Groups_Oplus__class_Oplus(_u1937, _u1939, c_Groups_Oone__class_Oone(_u1937))), _u1938)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1940) | ( c_Groups_Oplus__class_Oplus(_u1940, _u1941, _u1941) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1940), c_Groups_Oplus__class_Oplus(_u1940, c_Groups_Oone__class_Oone(_u1940), c_Groups_Oone__class_Oone(_u1940))), _u1941)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 != c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1942)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) = _u1944) )).
% 12.17/12.36 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 != c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.36 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.36 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) != _u1944) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.36 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) != _u1944) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) != _u1949) | ( _u1948 = c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1947 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) )).
% 12.17/12.36 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) != _u1949) | ( _u1948 != c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1949 = c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.36 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1948 != c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1949 != c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.36 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1947 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) | ( _u1948 = c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.36 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1947 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) | ( _u1949 != c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1950) | ( _u1951 = c_Groups_Ozero__class_Ozero(_u1950)) | ( c_Rings_Oinverse__class_Odivide(_u1950, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1953), _u1951)) = c_Rings_Oinverse__class_Odivide(_u1950, _u1952, _u1953)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1954) | ( _u1955 = c_Groups_Ozero__class_Ozero(_u1954)) | ( c_Rings_Oinverse__class_Odivide(_u1954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1954), _u1955), _u1956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1954), _u1955), _u1957)) = c_Rings_Oinverse__class_Odivide(_u1954, _u1956, _u1957)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u1958) | ( _u1959 = c_Groups_Ozero__class_Ozero(_u1958)) | ( _u1960 = c_Groups_Ozero__class_Ozero(_u1958)) | ( c_Rings_Oinverse__class_Odivide(_u1958, _u1961, _u1959) != c_Rings_Oinverse__class_Odivide(_u1958, _u1962, _u1960)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1961), _u1960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1962), _u1959)) )).
% 12.17/12.36 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u1958) | ( _u1959 = c_Groups_Ozero__class_Ozero(_u1958)) | ( _u1960 = c_Groups_Ozero__class_Ozero(_u1958)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1961), _u1960) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1962), _u1959)) | ( c_Rings_Oinverse__class_Odivide(_u1958, _u1961, _u1959) = c_Rings_Oinverse__class_Odivide(_u1958, _u1962, _u1960)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u1963) | ( _u1964 = c_Groups_Ozero__class_Ozero(_u1963)) | ( _u1965 != c_Rings_Oinverse__class_Odivide(_u1963, _u1966, _u1964)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1963), _u1965), _u1964) = _u1966) )).
% 12.17/12.36 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u1963) | ( _u1964 = c_Groups_Ozero__class_Ozero(_u1963)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1963), _u1965), _u1964) != _u1966) | ( _u1965 = c_Rings_Oinverse__class_Odivide(_u1963, _u1966, _u1964)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u1967) | ( _u1968 = c_Groups_Ozero__class_Ozero(_u1967)) | ( c_Rings_Oinverse__class_Odivide(_u1967, _u1969, _u1968) != _u1970) | ( _u1969 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), _u1970), _u1968)) )).
% 12.17/12.36 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u1967) | ( _u1968 = c_Groups_Ozero__class_Ozero(_u1967)) | ( _u1969 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), _u1970), _u1968)) | ( c_Rings_Oinverse__class_Odivide(_u1967, _u1969, _u1968) = _u1970) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u1971) | ( _u1972 = c_Groups_Ozero__class_Ozero(_u1971)) | ( _u1973 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1971), _u1974), _u1972)) | ( c_Rings_Oinverse__class_Odivide(_u1971, _u1973, _u1972) = _u1974) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u1975) | ( _u1976 = c_Groups_Ozero__class_Ozero(_u1975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1977), _u1976) != _u1978) | ( _u1977 = c_Rings_Oinverse__class_Odivide(_u1975, _u1978, _u1976)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__add1__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1979, _u1980), _u1981) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1979, _u1981), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1980, _u1981)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1979, _u1981), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1980, _u1981)), _u1981))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) != c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 = c_Groups_Ouminus__class_Ouminus(_u1982, c_Groups_Oone__class_Oone(_u1982))) )).
% 12.17/12.36 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 != c_Groups_Oone__class_Oone(_u1982)) )).
% 12.17/12.36 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 != c_Groups_Ouminus__class_Ouminus(_u1982, c_Groups_Oone__class_Oone(_u1982))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1984) | ( c_Groups_Ouminus__class_Ouminus(_u1984, _u1985) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1984), c_Groups_Ouminus__class_Ouminus(_u1984, c_Groups_Oone__class_Oone(_u1984))), _u1985)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u1986) | ( _u1987 != c_Groups_Ozero__class_Ozero(_u1986)) | ( c_Divides_Odiv__class_Odiv(_u1986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1989)) = c_Groups_Ozero__class_Ozero(_u1986)) )).
% 12.17/12.36 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u1986) | ( _u1987 = c_Groups_Ozero__class_Ozero(_u1986)) | ( c_Divides_Odiv__class_Odiv(_u1986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1989)) = c_Divides_Odiv__class_Odiv(_u1986, _u1988, _u1989)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u1990) | ( _u1991 = c_Groups_Ozero__class_Ozero(_u1990)) | ( c_Divides_Odiv__class_Odiv(_u1990, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1990), _u1992), _u1991), _u1991) = _u1992) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u1993) | ( _u1994 = c_Groups_Ozero__class_Ozero(_u1993)) | ( c_Divides_Odiv__class_Odiv(_u1993, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1993), _u1994), _u1995), _u1994) = _u1995) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u1996) | ( _u1997 = c_Groups_Ozero__class_Ozero(_u1996)) | ( c_Divides_Odiv__class_Odiv(_u1996, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1998), _u1997), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1999), _u1997)) = c_Divides_Odiv__class_Odiv(_u1996, _u1998, _u1999)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u2000) | ( _u2001 = c_Groups_Ozero__class_Ozero(_u2000)) | ( c_Divides_Odiv__class_Odiv(_u2000, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2003)) = c_Divides_Odiv__class_Odiv(_u2000, _u2002, _u2003)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), _u2008) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2006 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), _u2008) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2008 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u2007 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2009 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2007), _u2009) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2010, _u2011) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2012) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2012), _u2010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2012), _u2011)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2013, _u2014) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2015) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2013), _u2015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), _u2015)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 12.17/12.36 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), _u2019), _u2021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2023), _u2021)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2021) )).
% 12.17/12.36 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), _u2019), _u2021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2023), _u2021)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2019, _u2023) )).
% 12.17/12.36 cnf(fact_mult__less__cancel2-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2022) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2020, _u2024) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2020), _u2022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2024), _u2022)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.36 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), _u2028), _u2030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2032)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2028) )).
% 12.17/12.36 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), _u2028), _u2030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2032)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2030, _u2032) )).
% 12.17/12.36 cnf(fact_mult__less__cancel1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2029) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2031, _u2033) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2029), _u2031), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2029), _u2033)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 12.17/12.36 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), _u2036), _u2038)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2036) )).
% 12.17/12.36 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), _u2036), _u2038)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2038) )).
% 12.17/12.36 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), _u2037) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2039) | 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), _u2037), _u2039)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2045, _u2047) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2043)), _u2045), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2043)), _u2047)) )).
% 12.17/12.36 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2046, _u2048) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2044)), _u2046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2044)), _u2048)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2049), c_Nat_OSuc(_u2050)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2049, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2049), _u2050))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2051)), _u2052) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2051), _u2052))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2058, _u2060) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2056)), _u2058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2056)), _u2060)) )).
% 12.17/12.36 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2059, _u2061) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2057)), _u2059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2057)), _u2061)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2062 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2062), _u2063)) | ( _u2063 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2062 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mod__le__divisor-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2064) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2065, _u2064), _u2064) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2066) | ~c_Orderings_Oord__class_Oless__eq(_u2066, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), _u2067), _u2068), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), _u2067), _u2069)) | ~c_Orderings_Oord__class_Oless(_u2066, c_Groups_Ozero__class_Ozero(_u2066), _u2067) | c_Orderings_Oord__class_Oless__eq(_u2066, _u2068, _u2069) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2070) | ~c_Orderings_Oord__class_Oless__eq(_u2070, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2071), _u2072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2073), _u2072)) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Ozero__class_Ozero(_u2070), _u2072) | c_Orderings_Oord__class_Oless__eq(_u2070, _u2071, _u2073) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2074) | ~c_Orderings_Oord__class_Oless(_u2074, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2074), _u2075), _u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2074), _u2075), _u2077)) | ~c_Orderings_Oord__class_Oless__eq(_u2074, c_Groups_Ozero__class_Ozero(_u2074), _u2075) | c_Orderings_Oord__class_Oless(_u2074, _u2076, _u2077) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2078) | ~c_Orderings_Oord__class_Oless(_u2078, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2078), _u2079), _u2080), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2078), _u2079), _u2081)) | ~c_Orderings_Oord__class_Oless__eq(_u2078, c_Groups_Ozero__class_Ozero(_u2078), _u2079) | c_Orderings_Oord__class_Oless(_u2078, _u2080, _u2081) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2082) | ~c_Orderings_Oord__class_Oless(_u2082, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2082), _u2083), _u2084), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2082), _u2085), _u2084)) | ~c_Orderings_Oord__class_Oless__eq(_u2082, c_Groups_Ozero__class_Ozero(_u2082), _u2084) | c_Orderings_Oord__class_Oless(_u2082, _u2083, _u2085) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u2086) | ~c_Orderings_Oord__class_Oless(_u2086, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2087), _u2088), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2089), _u2088)) | ~c_Orderings_Oord__class_Oless__eq(_u2086, c_Groups_Ozero__class_Ozero(_u2086), _u2088) | c_Orderings_Oord__class_Oless(_u2086, _u2087, _u2089) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2090) | ~c_Orderings_Oord__class_Oless__eq(_u2090, _u2091, _u2092) | ~c_Orderings_Oord__class_Oless(_u2090, _u2093, _u2094) | ~c_Orderings_Oord__class_Oless(_u2090, c_Groups_Ozero__class_Ozero(_u2090), _u2091) | ~c_Orderings_Oord__class_Oless__eq(_u2090, c_Groups_Ozero__class_Ozero(_u2090), _u2093) | c_Orderings_Oord__class_Oless(_u2090, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2090), _u2091), _u2093), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2090), _u2092), _u2094)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2095) | ~c_Orderings_Oord__class_Oless(_u2095, _u2096, _u2097) | ~c_Orderings_Oord__class_Oless__eq(_u2095, _u2098, _u2099) | ~c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2096) | ~c_Orderings_Oord__class_Oless(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2098) | c_Orderings_Oord__class_Oless(_u2095, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2095), _u2096), _u2098), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2095), _u2097), _u2099)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2100) | ~c_Orderings_Oord__class_Oless(_u2100, _u2101, _u2102) | ~c_Orderings_Oord__class_Oless(_u2100, _u2103, _u2104) | ~c_Orderings_Oord__class_Oless__eq(_u2100, c_Groups_Ozero__class_Ozero(_u2100), _u2101) | ~c_Orderings_Oord__class_Oless__eq(_u2100, c_Groups_Ozero__class_Ozero(_u2100), _u2103) | c_Orderings_Oord__class_Oless(_u2100, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2100), _u2101), _u2103), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2100), _u2102), _u2104)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u2105) | ~c_Orderings_Oord__class_Oless(_u2105, _u2106, _u2107) | ~c_Orderings_Oord__class_Oless(_u2105, _u2108, _u2109) | ~c_Orderings_Oord__class_Oless(_u2105, c_Groups_Ozero__class_Ozero(_u2105), _u2107) | ~c_Orderings_Oord__class_Oless__eq(_u2105, c_Groups_Ozero__class_Ozero(_u2105), _u2108) | c_Orderings_Oord__class_Oless(_u2105, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2107), _u2109)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2110) | ~c_Orderings_Oord__class_Oless(_u2110, _u2111, c_Groups_Ozero__class_Ozero(_u2110)) | ~c_Orderings_Oord__class_Oless__eq(_u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2113)) | c_Orderings_Oord__class_Oless__eq(_u2110, _u2113, _u2112) )).
% 12.17/12.36 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2110) | ~c_Orderings_Oord__class_Oless(_u2110, _u2111, c_Groups_Ozero__class_Ozero(_u2110)) | ~c_Orderings_Oord__class_Oless__eq(_u2110, _u2113, _u2112) | c_Orderings_Oord__class_Oless__eq(_u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2113)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2114) | ~c_Orderings_Oord__class_Oless(_u2114, c_Groups_Ozero__class_Ozero(_u2114), _u2115) | ~c_Orderings_Oord__class_Oless__eq(_u2114, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2117)) | c_Orderings_Oord__class_Oless__eq(_u2114, _u2116, _u2117) )).
% 12.17/12.36 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2114) | ~c_Orderings_Oord__class_Oless(_u2114, c_Groups_Ozero__class_Ozero(_u2114), _u2115) | ~c_Orderings_Oord__class_Oless__eq(_u2114, _u2116, _u2117) | c_Orderings_Oord__class_Oless__eq(_u2114, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2117)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ~c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2119 = c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.17/12.36 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ~c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2120 = c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.17/12.36 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ( _u2119 != c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2120 != c_Groups_Ozero__class_Ozero(_u2118)) | c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2121) | c_Orderings_Oord__class_Oless__eq(_u2121, c_Groups_Ozero__class_Ozero(_u2121), c_Groups_Oplus__class_Oplus(_u2121, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2121), _u2122), _u2122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2121), _u2123), _u2123))) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2124) | ~c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2125 != c_Groups_Ozero__class_Ozero(_u2124)) | ( _u2126 != c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.17/12.36 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2124) | c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2125 = c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.17/12.36 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u2124) | c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2126 = c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u2127) | ~c_Orderings_Oord__class_Oless(_u2127, c_Groups_Oplus__class_Oplus(_u2127, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2128), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2129), _u2129)), c_Groups_Ozero__class_Ozero(_u2127)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2130) | ~c_Orderings_Oord__class_Oless__eq(_u2130, c_Groups_Ozero__class_Ozero(_u2130), _u2131) | ~c_Orderings_Oord__class_Oless__eq(_u2130, c_Groups_Ozero__class_Ozero(_u2130), _u2132) | ~c_Orderings_Oord__class_Oless__eq(_u2130, _u2132, c_Groups_Oone__class_Oone(_u2130)) | c_Orderings_Oord__class_Oless__eq(_u2130, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2130), _u2132), _u2131), _u2131) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u2133) | ~c_Orderings_Oord__class_Oless__eq(_u2133, c_Groups_Ozero__class_Ozero(_u2133), _u2134) | ~c_Orderings_Oord__class_Oless__eq(_u2133, c_Groups_Ozero__class_Ozero(_u2133), _u2135) | ~c_Orderings_Oord__class_Oless__eq(_u2133, _u2135, c_Groups_Oone__class_Oone(_u2133)) | c_Orderings_Oord__class_Oless__eq(_u2133, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2133), _u2134), _u2135), _u2134) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u2136) | ~c_Orderings_Oord__class_Oless(_u2136, _u2137, _u2138) | ~c_Orderings_Oord__class_Oless(_u2136, _u2139, c_Groups_Ozero__class_Ozero(_u2136)) | ~c_Orderings_Oord__class_Oless(_u2136, c_Groups_Ozero__class_Ozero(_u2136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2136), _u2137), _u2138)) | c_Orderings_Oord__class_Oless(_u2136, c_Rings_Oinverse__class_Odivide(_u2136, _u2139, _u2137), c_Rings_Oinverse__class_Odivide(_u2136, _u2139, _u2138)) )).
% 12.17/12.36
% 12.17/12.36 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 12.17/12.36 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u2140) | ~c_Orderings_Oord__class_Oless(_u2140, _u2141, _u2142) | ~c_Orderings_Oord__class_Oless(_u2140, c_Groups_Ozero__class_Ozero(_u2140), _u2143) | ~c_Orderings_Oord__class_Oless(_u2140, c_Groups_Ozero__class_Ozero(_u2140), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2140), _u2142), _u2141)) | c_Orderings_Oord__class_Oless(_u2140, c_Rings_Oinverse__class_Odivide(_u2140, _u2143, _u2142), c_Rings_Oinverse__class_Odivide(_u2140, _u2143, _u2141)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2144) | ~c_Orderings_Oord__class_Oless(_u2144, _u2145, c_Groups_Ozero__class_Ozero(_u2144)) | ~c_Orderings_Oord__class_Oless(_u2144, c_Rings_Oinverse__class_Odivide(_u2144, _u2146, _u2145), _u2147) | c_Orderings_Oord__class_Oless(_u2144, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2144), _u2147), _u2145), _u2146) )).
% 12.17/12.37 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2144) | ~c_Orderings_Oord__class_Oless(_u2144, _u2145, c_Groups_Ozero__class_Ozero(_u2144)) | ~c_Orderings_Oord__class_Oless(_u2144, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2144), _u2147), _u2145), _u2146) | c_Orderings_Oord__class_Oless(_u2144, c_Rings_Oinverse__class_Odivide(_u2144, _u2146, _u2145), _u2147) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2148) | ~c_Orderings_Oord__class_Oless(_u2148, _u2149, c_Groups_Ozero__class_Ozero(_u2148)) | ~c_Orderings_Oord__class_Oless(_u2148, _u2150, c_Rings_Oinverse__class_Odivide(_u2148, _u2151, _u2149)) | c_Orderings_Oord__class_Oless(_u2148, _u2151, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2148), _u2150), _u2149)) )).
% 12.17/12.37 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2148) | ~c_Orderings_Oord__class_Oless(_u2148, _u2149, c_Groups_Ozero__class_Ozero(_u2148)) | ~c_Orderings_Oord__class_Oless(_u2148, _u2151, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2148), _u2150), _u2149)) | c_Orderings_Oord__class_Oless(_u2148, _u2150, c_Rings_Oinverse__class_Odivide(_u2148, _u2151, _u2149)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u2152) | ~c_Orderings_Oord__class_Oless(_u2152, c_Groups_Ozero__class_Ozero(_u2152), _u2153) | ~c_Orderings_Oord__class_Oless(_u2152, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2152), _u2154), _u2153), _u2155) | c_Orderings_Oord__class_Oless(_u2152, _u2154, c_Rings_Oinverse__class_Odivide(_u2152, _u2155, _u2153)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u2156) | ~c_Orderings_Oord__class_Oless(_u2156, c_Groups_Ozero__class_Ozero(_u2156), _u2157) | ~c_Orderings_Oord__class_Oless(_u2156, _u2158, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2159), _u2157)) | c_Orderings_Oord__class_Oless(_u2156, c_Rings_Oinverse__class_Odivide(_u2156, _u2158, _u2157), _u2159) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2160) | ~c_Orderings_Oord__class_Oless(_u2160, c_Groups_Ozero__class_Ozero(_u2160), _u2161) | ~c_Orderings_Oord__class_Oless(_u2160, c_Rings_Oinverse__class_Odivide(_u2160, _u2162, _u2161), _u2163) | c_Orderings_Oord__class_Oless(_u2160, _u2162, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)) )).
% 12.17/12.37 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2160) | ~c_Orderings_Oord__class_Oless(_u2160, c_Groups_Ozero__class_Ozero(_u2160), _u2161) | ~c_Orderings_Oord__class_Oless(_u2160, _u2162, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)) | c_Orderings_Oord__class_Oless(_u2160, c_Rings_Oinverse__class_Odivide(_u2160, _u2162, _u2161), _u2163) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2164) | ~c_Orderings_Oord__class_Oless(_u2164, c_Groups_Ozero__class_Ozero(_u2164), _u2165) | ~c_Orderings_Oord__class_Oless(_u2164, _u2166, c_Rings_Oinverse__class_Odivide(_u2164, _u2167, _u2165)) | c_Orderings_Oord__class_Oless(_u2164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2166), _u2165), _u2167) )).
% 12.17/12.37 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2164) | ~c_Orderings_Oord__class_Oless(_u2164, c_Groups_Ozero__class_Ozero(_u2164), _u2165) | ~c_Orderings_Oord__class_Oless(_u2164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2166), _u2165), _u2167) | c_Orderings_Oord__class_Oless(_u2164, _u2166, c_Rings_Oinverse__class_Odivide(_u2164, _u2167, _u2165)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) )).
% 12.17/12.37 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) )).
% 12.17/12.37 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.17/12.37 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.17/12.37 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) )).
% 12.17/12.37 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.17/12.37 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) )).
% 12.17/12.37 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.17/12.37 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) )).
% 12.17/12.37 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) )).
% 12.17/12.37 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) )).
% 12.17/12.37 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u2176) | ( _u2177 = c_Groups_Ozero__class_Ozero(_u2176)) | ( _u2178 = c_Groups_Ozero__class_Ozero(_u2176)) | ( c_Groups_Oplus__class_Oplus(_u2176, c_Rings_Oinverse__class_Odivide(_u2176, _u2179, _u2177), c_Rings_Oinverse__class_Odivide(_u2176, _u2180, _u2178)) = c_Rings_Oinverse__class_Odivide(_u2176, c_Groups_Oplus__class_Oplus(_u2176, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2179), _u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2180), _u2177)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2177), _u2178))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ( c_Groups_Oplus__class_Oplus(_u2181, c_Rings_Oinverse__class_Odivide(_u2181, _u2183, _u2182), _u2184) = c_Rings_Oinverse__class_Odivide(_u2181, c_Groups_Oplus__class_Oplus(_u2181, _u2183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2184)), _u2182)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2185) | ( _u2186 = c_Groups_Ozero__class_Ozero(_u2185)) | ( c_Groups_Oplus__class_Oplus(_u2185, c_Rings_Oinverse__class_Odivide(_u2185, _u2187, _u2186), _u2188) = c_Rings_Oinverse__class_Odivide(_u2185, c_Groups_Oplus__class_Oplus(_u2185, _u2187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2185), _u2188), _u2186)), _u2186)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u2189) | ( _u2190 = c_Groups_Ozero__class_Ozero(_u2189)) | ( c_Groups_Oplus__class_Oplus(_u2189, _u2191, c_Rings_Oinverse__class_Odivide(_u2189, _u2192, _u2190)) = c_Rings_Oinverse__class_Odivide(_u2189, c_Groups_Oplus__class_Oplus(_u2189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2191), _u2192), _u2190)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2193) | ( _u2194 = c_Groups_Ozero__class_Ozero(_u2193)) | ( c_Groups_Oplus__class_Oplus(_u2193, _u2195, c_Rings_Oinverse__class_Odivide(_u2193, _u2196, _u2194)) = c_Rings_Oinverse__class_Odivide(_u2193, c_Groups_Oplus__class_Oplus(_u2193, _u2196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2195), _u2194)), _u2194)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u2197) | ( _u2198 = c_Groups_Ozero__class_Ozero(_u2197)) | ( c_Divides_Odiv__class_Odiv(_u2197, c_Groups_Oplus__class_Oplus(_u2197, _u2199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), _u2200)), _u2198) = c_Groups_Oplus__class_Oplus(_u2197, _u2200, c_Divides_Odiv__class_Odiv(_u2197, _u2199, _u2198))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u2201) | ( _u2202 = c_Groups_Ozero__class_Ozero(_u2201)) | ( c_Divides_Odiv__class_Odiv(_u2201, c_Groups_Oplus__class_Oplus(_u2201, _u2203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2204), _u2202)), _u2202) = c_Groups_Oplus__class_Oplus(_u2201, _u2204, c_Divides_Odiv__class_Odiv(_u2201, _u2203, _u2202))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_one__less__mult-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2205) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2206) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2206), _u2205)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_n__less__n__mult__m-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2207) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2208) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2207), _u2208)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_n__less__m__mult__n-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2209) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2210) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2209, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2210), _u2209)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_one__le__mult__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2213) )).
% 12.17/12.37 cnf(fact_one__le__mult__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2215) )).
% 12.17/12.37 cnf(fact_one__le__mult__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2214) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2216) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2214), _u2216)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2220), _u2222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2224), _u2222)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2222) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2220, _u2224) )).
% 12.17/12.37 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), _u2221), _u2223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2223)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2223) )).
% 12.17/12.37 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), _u2221), _u2223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2223)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2221, _u2225) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2229), _u2231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2229), _u2233)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2229) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2231, _u2233) )).
% 12.17/12.37 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), _u2230), _u2232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2234)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2230) )).
% 12.17/12.37 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), _u2230), _u2232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2234)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2232, _u2234) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__mult__self1__is__m-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2235) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2236), _u2235) = _u2236) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__mult__self__is__m-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2237) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2238), _u2237), _u2237) = _u2238) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__Suc-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Nat_OSuc(_u2239), _u2240) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2239, _u2240), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2240)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2239, _u2240), c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2240)), _u2240))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u2241) | ~c_Orderings_Oord__class_Oless__eq(_u2241, _u2242, _u2243) | ~c_Orderings_Oord__class_Oless__eq(_u2241, _u2244, _u2243) | ~c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Ozero__class_Ozero(_u2241), _u2245) | ~c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Ozero__class_Ozero(_u2241), _u2246) | ( c_Groups_Oplus__class_Oplus(_u2241, _u2245, _u2246) != c_Groups_Oone__class_Oone(_u2241)) | c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Oplus__class_Oplus(_u2241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2241), _u2245), _u2242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2241), _u2246), _u2244)), _u2243) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2247) | ~c_Orderings_Oord__class_Oless__eq(_u2247, _u2248, _u2249) | ~c_Orderings_Oord__class_Oless__eq(_u2247, _u2250, c_Groups_Ozero__class_Ozero(_u2247)) | ~c_Orderings_Oord__class_Oless(_u2247, c_Groups_Ozero__class_Ozero(_u2247), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2247), _u2248), _u2249)) | c_Orderings_Oord__class_Oless__eq(_u2247, c_Rings_Oinverse__class_Odivide(_u2247, _u2250, _u2248), c_Rings_Oinverse__class_Odivide(_u2247, _u2250, _u2249)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u2251) | ~c_Orderings_Oord__class_Oless__eq(_u2251, _u2252, _u2253) | ~c_Orderings_Oord__class_Oless__eq(_u2251, c_Groups_Ozero__class_Ozero(_u2251), _u2254) | ~c_Orderings_Oord__class_Oless(_u2251, c_Groups_Ozero__class_Ozero(_u2251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2251), _u2253), _u2252)) | c_Orderings_Oord__class_Oless__eq(_u2251, c_Rings_Oinverse__class_Odivide(_u2251, _u2254, _u2253), c_Rings_Oinverse__class_Odivide(_u2251, _u2254, _u2252)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2255) | ~c_Orderings_Oord__class_Oless(_u2255, _u2256, c_Groups_Ozero__class_Ozero(_u2255)) | ~c_Orderings_Oord__class_Oless__eq(_u2255, c_Rings_Oinverse__class_Odivide(_u2255, _u2257, _u2256), _u2258) | c_Orderings_Oord__class_Oless__eq(_u2255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2255), _u2258), _u2256), _u2257) )).
% 12.17/12.37 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2255) | ~c_Orderings_Oord__class_Oless(_u2255, _u2256, c_Groups_Ozero__class_Ozero(_u2255)) | ~c_Orderings_Oord__class_Oless__eq(_u2255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2255), _u2258), _u2256), _u2257) | c_Orderings_Oord__class_Oless__eq(_u2255, c_Rings_Oinverse__class_Odivide(_u2255, _u2257, _u2256), _u2258) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2259) | ~c_Orderings_Oord__class_Oless(_u2259, _u2260, c_Groups_Ozero__class_Ozero(_u2259)) | ~c_Orderings_Oord__class_Oless__eq(_u2259, _u2261, c_Rings_Oinverse__class_Odivide(_u2259, _u2262, _u2260)) | c_Orderings_Oord__class_Oless__eq(_u2259, _u2262, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2259), _u2261), _u2260)) )).
% 12.17/12.37 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2259) | ~c_Orderings_Oord__class_Oless(_u2259, _u2260, c_Groups_Ozero__class_Ozero(_u2259)) | ~c_Orderings_Oord__class_Oless__eq(_u2259, _u2262, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2259), _u2261), _u2260)) | c_Orderings_Oord__class_Oless__eq(_u2259, _u2261, c_Rings_Oinverse__class_Odivide(_u2259, _u2262, _u2260)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u2263) | ~c_Orderings_Oord__class_Oless(_u2263, c_Groups_Ozero__class_Ozero(_u2263), _u2264) | ~c_Orderings_Oord__class_Oless__eq(_u2263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2263), _u2265), _u2264), _u2266) | c_Orderings_Oord__class_Oless__eq(_u2263, _u2265, c_Rings_Oinverse__class_Odivide(_u2263, _u2266, _u2264)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u2267) | ~c_Orderings_Oord__class_Oless(_u2267, c_Groups_Ozero__class_Ozero(_u2267), _u2268) | ~c_Orderings_Oord__class_Oless__eq(_u2267, _u2269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2267), _u2270), _u2268)) | c_Orderings_Oord__class_Oless__eq(_u2267, c_Rings_Oinverse__class_Odivide(_u2267, _u2269, _u2268), _u2270) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2271) | ~c_Orderings_Oord__class_Oless(_u2271, c_Groups_Ozero__class_Ozero(_u2271), _u2272) | ~c_Orderings_Oord__class_Oless__eq(_u2271, c_Rings_Oinverse__class_Odivide(_u2271, _u2273, _u2272), _u2274) | c_Orderings_Oord__class_Oless__eq(_u2271, _u2273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2271), _u2274), _u2272)) )).
% 12.17/12.37 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2271) | ~c_Orderings_Oord__class_Oless(_u2271, c_Groups_Ozero__class_Ozero(_u2271), _u2272) | ~c_Orderings_Oord__class_Oless__eq(_u2271, _u2273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2271), _u2274), _u2272)) | c_Orderings_Oord__class_Oless__eq(_u2271, c_Rings_Oinverse__class_Odivide(_u2271, _u2273, _u2272), _u2274) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u2275) | ~c_Orderings_Oord__class_Oless(_u2275, c_Groups_Ozero__class_Ozero(_u2275), _u2276) | ~c_Orderings_Oord__class_Oless__eq(_u2275, _u2277, c_Rings_Oinverse__class_Odivide(_u2275, _u2278, _u2276)) | c_Orderings_Oord__class_Oless__eq(_u2275, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2275), _u2277), _u2276), _u2278) )).
% 12.17/12.37 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u2275) | ~c_Orderings_Oord__class_Oless(_u2275, c_Groups_Ozero__class_Ozero(_u2275), _u2276) | ~c_Orderings_Oord__class_Oless__eq(_u2275, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2275), _u2277), _u2276), _u2278) | c_Orderings_Oord__class_Oless__eq(_u2275, _u2277, c_Rings_Oinverse__class_Odivide(_u2275, _u2278, _u2276)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) )).
% 12.17/12.37 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) )).
% 12.17/12.37 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.17/12.37 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.17/12.37 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) )).
% 12.17/12.37 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.17/12.37 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) )).
% 12.17/12.37 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.17/12.37 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) )).
% 12.17/12.37 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) )).
% 12.17/12.37 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) )).
% 12.17/12.37 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_split__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u2294, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2296, _u2298))) | ( _u2298 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u2294, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.37 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u2294, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2296, _u2298))) | ( _u2298 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2287, _u2298) | ( _u2296 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2288), _u2287)) | hBOOL(hAPP(_u2294, _u2288)) )).
% 12.17/12.37 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem58(_u2299, _u2297, _u2295), _u2299) )).
% 12.17/12.37 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2297 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), skolem57(_u2299, _u2297, _u2295)), skolem58(_u2299, _u2297, _u2295))) )).
% 12.17/12.37 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u2295, skolem57(_u2299, _u2297, _u2295))) )).
% 12.17/12.37 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2299 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem58(_u2299, _u2297, _u2295), _u2299) )).
% 12.17/12.37 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2297 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), skolem57(_u2299, _u2297, _u2295)), skolem58(_u2299, _u2297, _u2295))) )).
% 12.17/12.37 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2295, skolem57(_u2299, _u2297, _u2295))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u2300) | ~c_Orderings_Oord__class_Oless(_u2300, _u2301, _u2302) | ~c_Orderings_Oord__class_Oless(_u2300, _u2303, _u2302) | ~c_Orderings_Oord__class_Oless__eq(_u2300, c_Groups_Ozero__class_Ozero(_u2300), _u2304) | ~c_Orderings_Oord__class_Oless__eq(_u2300, c_Groups_Ozero__class_Ozero(_u2300), _u2305) | ( c_Groups_Oplus__class_Oplus(_u2300, _u2304, _u2305) != c_Groups_Oone__class_Oone(_u2300)) | c_Orderings_Oord__class_Oless(_u2300, c_Groups_Oplus__class_Oplus(_u2300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2300), _u2304), _u2301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2300), _u2305), _u2303)), _u2302) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__div__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2306) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2308)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2307, _u2308)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2309) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2311)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2310, _u2311) )).
% 12.17/12.37 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2309) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2310, _u2311) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2311)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u2315 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2315), _u2317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2315), _u2319)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u2316 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2316), _u2318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2316), _u2320)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2318, _u2320)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2321) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2323)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2322, _u2323) )).
% 12.17/12.37 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2321) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2322, _u2323) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2323)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_poly__mod__mult__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_poly__mod__mult__right-1, axiom, ( ~class_Fields_Ofield(_u2324) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), _u2325, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2324)), _u2326), _u2327)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2324)), _u2326), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2324), _u2325, _u2326), _u2327)), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), _u2325, _u2326))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_poly__mod__minus__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_poly__mod__minus__right-1, axiom, ( ~class_Fields_Ofield(_u2328) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2328), _u2329, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2328), _u2330)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2328), _u2329, _u2330)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_poly__mod__minus__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_poly__mod__minus__left-1, axiom, ( ~class_Fields_Ofield(_u2331) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2331), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2331), _u2332), _u2333) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2331), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2331), _u2332, _u2333))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__assoc ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2334), _u2335)), _u2336) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2335), _u2336))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2337), _u2338) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2338), _u2337)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__poly__0__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__poly__0__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2339) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2339)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2339))), _u2340) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2339))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__poly__0__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__poly__0__right-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), _u2342), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__add__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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, _u2343, _u2344)), _u2345) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2343), _u2345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2344), _u2345))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__1 ( axiom ) converted to clauses:
% 12.17/12.37 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)), _u2346) = _u2346) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__left__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__left__cancel-1, axiom, ( ( _u2347 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2348) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2349)) | ( _u2348 = _u2349) )).
% 12.17/12.37 cnf(fact_real__mult__left__cancel-2, axiom, ( ( _u2347 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2348 != _u2349) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2348) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2349)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__right__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__right__cancel-1, axiom, ( ( _u2350 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2351), _u2350) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2352), _u2350)) | ( _u2351 = _u2352) )).
% 12.17/12.37 cnf(fact_real__mult__right__cancel-2, axiom, ( ( _u2350 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2351 != _u2352) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2351), _u2350) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2352), _u2350)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__poly__add__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__poly__add__left-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u2353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2353), _u2354, _u2355)), _u2356) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), _u2354), _u2356), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), _u2355), _u2356))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_poly__div__mult__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_poly__div__mult__right-1, axiom, ( ~class_Fields_Ofield(_u2357) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), _u2358, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2357)), _u2359), _u2360)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), _u2358, _u2359), _u2360)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__less__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2361) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2362, _u2363) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2361), _u2362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2361), _u2363)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__order ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__order-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2364) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2365) | 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), _u2364), _u2365)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__less__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__mult__less__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2366) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2367), _u2366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2368), _u2366)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2367, _u2368) )).
% 12.17/12.37 cnf(fact_real__mult__less__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2366) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2367, _u2368) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2367), _u2366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2368), _u2366)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__two__squares__add__zero__iff ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2371), _u2371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2373), _u2373)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2371 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 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), _u2371), _u2371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2373), _u2373)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2373 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(fact_real__two__squares__add__zero__iff-3, axiom, ( ( _u2372 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2374 != 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), _u2372), _u2372), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2374), _u2374)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__minus__mult__self__le ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2375), _u2375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2376), _u2376)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__of__nat__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__of__nat__mult-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2377), _u2378)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2377)), c_RealDef_Oreal(tc_Nat_Onat, _u2378))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__le__cancel__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2380), _u2379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2381), _u2379)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2380, _u2381) )).
% 12.17/12.37 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), _u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2380, _u2381) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2380), _u2379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2381), _u2379)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__mult__le__cancel__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2382) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2384)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2383, _u2384) )).
% 12.17/12.37 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), _u2382) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2383, _u2384) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2384)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_norm__ratiotest__lemma ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_norm__ratiotest__lemma-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u2385) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2386, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2385, _u2387), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2386), c_RealVector_Onorm__class_Onorm(_u2385, _u2388))) | ( _u2387 = c_Groups_Ozero__class_Ozero(_u2385)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__mult__natfloor ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__mult__natfloor-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2389) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2390) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2389)), c_RComplete_Onatfloor(_u2390)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2389), _u2390))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2394), _u2396) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2394), _u2398)) | ( _u2394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2396 = _u2398) )).
% 12.17/12.37 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2399)) | ( _u2395 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2399)) | ( _u2397 != _u2399) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2400), _u2401), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2402), _u2401), _u2403)) = 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, _u2400, _u2402)), _u2401), _u2403)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2404) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2405) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2406)) | ( _u2405 = _u2406) )).
% 12.17/12.37 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2404) | ( _u2405 != _u2406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2405) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2406)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_not__real__square__gt__zero ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2408), _u2408)) | ( _u2408 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(fact_not__real__square__gt__zero-2, axiom, ( ( _u2409 != 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), _u2409), _u2409)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide_Opos__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u2412) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem59(_u2413, _u2412)) )).
% 12.17/12.37 cnf(fact_divide_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__field(_u2412) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2412, c_Rings_Oinverse__class_Odivide(_u2412, _u2410, _u2413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2412, _u2410)), skolem59(_u2413, _u2412))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult_Opos__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2417) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem60(_u2417)) )).
% 12.17/12.37 cnf(fact_mult_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2417) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2417, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2417), _u2415), _u2414)), 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(_u2417, _u2415)), c_RealVector_Onorm__class_Onorm(_u2417, _u2414))), skolem60(_u2417))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__divide__square__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__divide__square__eq-1, axiom, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2418), _u2419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2418), _u2418)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2419, _u2418)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__left_Opos__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__left_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2422) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem61(_u2423, _u2422)) )).
% 12.17/12.37 cnf(fact_mult__left_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2422) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2422, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2420), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2422, _u2420)), skolem61(_u2423, _u2422))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__right_Opos__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__right_Opos__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2426) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem62(_u2427, _u2426)) )).
% 12.17/12.37 cnf(fact_mult__right_Opos__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2426) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2426, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2426), _u2427), _u2424)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2426, _u2424)), skolem62(_u2427, _u2426))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divide_Ononneg__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divide_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u2430) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem63(_u2431, _u2430)) )).
% 12.17/12.37 cnf(fact_divide_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__field(_u2430) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2430, c_Rings_Oinverse__class_Odivide(_u2430, _u2428, _u2431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2430, _u2428)), skolem63(_u2431, _u2430))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult_Ononneg__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2435) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem64(_u2435)) )).
% 12.17/12.37 cnf(fact_mult_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2435) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2435, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2435), _u2433), _u2432)), 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(_u2435, _u2433)), c_RealVector_Onorm__class_Onorm(_u2435, _u2432))), skolem64(_u2435))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__left_Ononneg__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__left_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2438) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem65(_u2439, _u2438)) )).
% 12.17/12.37 cnf(fact_mult__left_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2438) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2438), _u2436), _u2439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2438, _u2436)), skolem65(_u2439, _u2438))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__right_Ononneg__bounded ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__right_Ononneg__bounded-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2442) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem66(_u2443, _u2442)) )).
% 12.17/12.37 cnf(fact_mult__right_Ononneg__bounded-2, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u2442) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2442, _u2440)), skolem66(_u2443, _u2442))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_LIMSEQ__inverse__realpow__zero__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2444) | 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, _u2445)), _u2444), 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, _u2444, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), _u2445)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | c_Orderings_Oord__class_Oless(_u2447, c_Groups_Ozero__class_Ozero(_u2447), skolem67(_u2449, _u2448, _u2447)) )).
% 12.17/12.37 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | c_Orderings_Oord__class_Oless(_u2447, skolem67(_u2449, _u2448, _u2447), c_Groups_Oone__class_Oone(_u2447)) )).
% 12.17/12.37 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | ~c_Orderings_Oord__class_Oless__eq(_u2447, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2447), skolem67(_u2449, _u2448, _u2447)), _u2448), _u2449) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2450) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2450), _u2451), _u2452)), _u2453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2450), hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), _u2451), _u2453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), _u2452), _u2453))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2454) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), _u2455), _u2456)), _u2457) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), _u2455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2456), _u2457))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2458) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2458), _u2459), c_Nat_OSuc(_u2460)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2459), hAPP(hAPP(c_Power_Opower__class_Opower(_u2458), _u2459), _u2460))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2461), _u2462), hAPP(hAPP(c_Power_Opower__class_Opower(_u2461), _u2462), _u2463)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2461), _u2462), c_Nat_OSuc(_u2463))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2464), hAPP(hAPP(c_Power_Opower__class_Opower(_u2464), _u2465), _u2466)), _u2465) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2464), _u2465), c_Nat_OSuc(_u2466))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2467) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2467), _u2468), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2467)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2469), hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), _u2471)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), _u2472)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2471, _u2472))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2473), _u2474), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2474) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_poly__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_poly__power-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2475) | ( hAPP(c_Polynomial_Opoly(_u2475, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2475)), _u2476), _u2477)), _u2478) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2475), hAPP(c_Polynomial_Opoly(_u2475, _u2476), _u2478)), _u2477)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_norm__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_norm__power-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u2479) | ( c_RealVector_Onorm__class_Onorm(_u2479, hAPP(hAPP(c_Power_Opower__class_Opower(_u2479), _u2480), _u2481)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2479, _u2480)), _u2481)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_norm__power__ineq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_norm__power__ineq-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u2482) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2482, hAPP(hAPP(c_Power_Opower__class_Opower(_u2482), _u2483), _u2484)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2482, _u2483)), _u2484)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_realpow__two__disj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_realpow__two__disj-1, axiom, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 = _u2487) | ( _u2486 = c_Groups_Ouminus__class_Ouminus(_u2485, _u2487)) )).
% 12.17/12.37 cnf(fact_realpow__two__disj-2, axiom, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 != _u2487) )).
% 12.17/12.37 cnf(fact_realpow__two__disj-3, axiom, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 != c_Groups_Ouminus__class_Ouminus(_u2485, _u2487)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_realpow__Suc__le__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_realpow__Suc__le__self-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2488) | ~c_Orderings_Oord__class_Oless__eq(_u2488, c_Groups_Ozero__class_Ozero(_u2488), _u2489) | ~c_Orderings_Oord__class_Oless__eq(_u2488, _u2489, c_Groups_Oone__class_Oone(_u2488)) | c_Orderings_Oord__class_Oless__eq(_u2488, hAPP(hAPP(c_Power_Opower__class_Opower(_u2488), _u2489), c_Nat_OSuc(_u2490)), _u2489) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2491) | ~c_Orderings_Oord__class_Oless(_u2491, _u2492, _u2493) | ~c_Orderings_Oord__class_Oless__eq(_u2491, c_Groups_Ozero__class_Ozero(_u2491), _u2492) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2494) | c_Orderings_Oord__class_Oless(_u2491, hAPP(hAPP(c_Power_Opower__class_Opower(_u2491), _u2492), _u2494), hAPP(hAPP(c_Power_Opower__class_Opower(_u2491), _u2493), _u2494)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2495) | ~c_Orderings_Oord__class_Oless(_u2495, c_Groups_Oone__class_Oone(_u2495), _u2496) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2497) | c_Orderings_Oord__class_Oless(_u2495, c_Groups_Oone__class_Oone(_u2495), hAPP(hAPP(c_Power_Opower__class_Opower(_u2495), _u2496), _u2497)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2499, _u2500)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), _u2499)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), _u2500))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2501), _u2502)), _u2503) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2502), _u2503))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__one__le__power-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2504) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2504), _u2505)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zero__less__power__nat__eq ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2508), _u2510)) | ( _u2510 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2508) )).
% 12.17/12.37 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), _u2509), _u2511)) | ( _u2511 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 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), _u2509), _u2511)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2509) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__real__of__nat ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__real__of__nat-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2512)), _u2513) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2512), _u2513))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_real__of__nat__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_real__of__nat__power-1, axiom, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2514), _u2515)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2514)), _u2515)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2518), _u2520)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2518) | ( _u2520 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 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), _u2519), _u2521)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2519) )).
% 12.17/12.37 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), _u2519), _u2521)) | ( _u2521 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2522) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2522), _u2523), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2522), _u2524)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2523, _u2524) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__Suc__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2525) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2528), _u2530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2530 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2528 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.37 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2529), _u2531) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2531 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2529), _u2531) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2529 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_natfloor__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_natfloor__power-1, axiom, ( ( _u2532 != c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2532))) | ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2532), _u2533)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_RComplete_Onatfloor(_u2532)), _u2533)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2534) | ( _u2535 = c_Groups_Ozero__class_Ozero(_u2534)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2534), _u2535), _u2536) != c_Groups_Ozero__class_Ozero(_u2534)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2537) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2537), _u2538), _u2539)), _u2540) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2537), hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), _u2538), _u2540)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), _u2539), _u2540))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u2541) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2541), hAPP(hAPP(c_Power_Opower__class_Opower(_u2541), _u2542), _u2543)), _u2542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2541), _u2542), hAPP(hAPP(c_Power_Opower__class_Opower(_u2541), _u2542), _u2543))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u2544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2544), c_Groups_Oone__class_Oone(_u2544)), _u2545) = c_Groups_Oone__class_Oone(_u2544)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), c_Rings_Oinverse__class_Odivide(_u2546, _u2547, _u2548)), _u2549) = c_Rings_Oinverse__class_Odivide(_u2546, hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), _u2547), _u2549), hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), _u2548), _u2549))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u2550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), _u2551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2552), _u2553)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), _u2551), _u2552)), _u2553)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u2554) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2554), _u2555), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2555) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2556) | ~c_Orderings_Oord__class_Oless__eq(_u2556, c_Groups_Ozero__class_Ozero(_u2556), _u2557) | c_Orderings_Oord__class_Oless__eq(_u2556, c_Groups_Ozero__class_Ozero(_u2556), hAPP(hAPP(c_Power_Opower__class_Opower(_u2556), _u2557), _u2558)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2559) | ~c_Orderings_Oord__class_Oless__eq(_u2559, _u2560, _u2561) | ~c_Orderings_Oord__class_Oless__eq(_u2559, c_Groups_Ozero__class_Ozero(_u2559), _u2560) | c_Orderings_Oord__class_Oless__eq(_u2559, hAPP(hAPP(c_Power_Opower__class_Opower(_u2559), _u2560), _u2562), hAPP(hAPP(c_Power_Opower__class_Opower(_u2559), _u2561), _u2562)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2563) | ~c_Orderings_Oord__class_Oless(_u2563, c_Groups_Ozero__class_Ozero(_u2563), _u2564) | c_Orderings_Oord__class_Oless(_u2563, c_Groups_Ozero__class_Ozero(_u2563), hAPP(hAPP(c_Power_Opower__class_Opower(_u2563), _u2564), _u2565)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2566) | ~c_Orderings_Oord__class_Oless__eq(_u2566, c_Groups_Oone__class_Oone(_u2566), _u2567) | c_Orderings_Oord__class_Oless__eq(_u2566, c_Groups_Oone__class_Oone(_u2566), hAPP(hAPP(c_Power_Opower__class_Opower(_u2566), _u2567), _u2568)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2570 = c_Groups_Ozero__class_Ozero(_u2569)) )).
% 12.17/12.37 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2571 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( _u2570 != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2571 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) = c_Groups_Ozero__class_Ozero(_u2569)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2572) | ~c_Orderings_Oord__class_Oless(_u2572, c_Groups_Oone__class_Oone(_u2572), _u2573) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2574) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2575)) | ( _u2574 = _u2575) )).
% 12.17/12.37 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2572) | ~c_Orderings_Oord__class_Oless(_u2572, c_Groups_Oone__class_Oone(_u2572), _u2573) | ( _u2574 != _u2575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2574) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2575)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u2576) | ~class_Rings_Osemiring__0(_u2576) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2576), c_Groups_Ozero__class_Ozero(_u2576)), c_Nat_OSuc(_u2577)) = c_Groups_Ozero__class_Ozero(_u2576)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u2578) | ( _u2579 = c_Groups_Ozero__class_Ozero(_u2578)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), c_Rings_Oinverse__class_Odivide(_u2578, _u2580, _u2579)), _u2581) = c_Rings_Oinverse__class_Odivide(_u2578, hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), _u2580), _u2581), hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), _u2579), _u2581))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u2582) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2582), _u2583), c_Nat_OSuc(_u2584)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2582), hAPP(hAPP(c_Power_Opower__class_Opower(_u2582), _u2583), _u2584)), _u2583)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u2585) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2585), _u2586), c_Nat_OSuc(_u2587)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2585), _u2586), hAPP(hAPP(c_Power_Opower__class_Opower(_u2585), _u2586), _u2587))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u2588) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2588), _u2589), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2588)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u2590) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2592, _u2593)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2590), hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), _u2592)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), _u2593))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2594) | ( c_Rings_Oinverse__class_Odivide(_u2594, c_Groups_Oone__class_Oone(_u2594), hAPP(hAPP(c_Power_Opower__class_Opower(_u2594), _u2595), _u2596)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2594), c_Rings_Oinverse__class_Odivide(_u2594, c_Groups_Oone__class_Oone(_u2594), _u2595)), _u2596)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2597) | ~c_Orderings_Oord__class_Oless(_u2597, hAPP(hAPP(c_Power_Opower__class_Opower(_u2597), _u2598), _u2599), hAPP(hAPP(c_Power_Opower__class_Opower(_u2597), _u2600), _u2599)) | ~c_Orderings_Oord__class_Oless__eq(_u2597, c_Groups_Ozero__class_Ozero(_u2597), _u2600) | c_Orderings_Oord__class_Oless(_u2597, _u2598, _u2600) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2601) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2601), _u2602), c_Nat_OSuc(_u2603)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2601), _u2604), c_Nat_OSuc(_u2603))) | ~c_Orderings_Oord__class_Oless__eq(_u2601, c_Groups_Ozero__class_Ozero(_u2601), _u2602) | ~c_Orderings_Oord__class_Oless__eq(_u2601, c_Groups_Ozero__class_Ozero(_u2601), _u2604) | ( _u2602 = _u2604) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2605) | ~c_Orderings_Oord__class_Oless__eq(_u2605, hAPP(hAPP(c_Power_Opower__class_Opower(_u2605), _u2606), c_Nat_OSuc(_u2607)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2605), _u2608), c_Nat_OSuc(_u2607))) | ~c_Orderings_Oord__class_Oless__eq(_u2605, c_Groups_Ozero__class_Ozero(_u2605), _u2608) | c_Orderings_Oord__class_Oless__eq(_u2605, _u2606, _u2608) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2609) | ~c_Orderings_Oord__class_Oless(_u2609, c_Groups_Oone__class_Oone(_u2609), _u2610) | c_Orderings_Oord__class_Oless(_u2609, c_Groups_Oone__class_Oone(_u2609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2609), _u2610), hAPP(hAPP(c_Power_Opower__class_Opower(_u2609), _u2610), _u2611))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2612) | ~c_Orderings_Oord__class_Oless(_u2612, c_Groups_Oone__class_Oone(_u2612), _u2613) | c_Orderings_Oord__class_Oless(_u2612, hAPP(hAPP(c_Power_Opower__class_Opower(_u2612), _u2613), _u2614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2612), _u2613), hAPP(hAPP(c_Power_Opower__class_Opower(_u2612), _u2613), _u2614))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u2615) | ~class_Rings_Osemiring__0(_u2615) | ( _u2616 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2615), c_Groups_Ozero__class_Ozero(_u2615)), _u2616) = c_Groups_Oone__class_Oone(_u2615)) )).
% 12.17/12.37 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u2615) | ~class_Rings_Osemiring__0(_u2615) | ( _u2616 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2615), c_Groups_Ozero__class_Ozero(_u2615)), _u2616) = c_Groups_Ozero__class_Ozero(_u2615)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2617) | ~c_Orderings_Oord__class_Oless(_u2617, c_Groups_Oone__class_Oone(_u2617), _u2618) | c_Orderings_Oord__class_Oless(_u2617, c_Groups_Oone__class_Oone(_u2617), hAPP(hAPP(c_Power_Opower__class_Opower(_u2617), _u2618), c_Nat_OSuc(_u2619))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u2620) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), c_Groups_Ouminus__class_Ouminus(_u2620, _u2621)), _u2622) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2620), hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), c_Groups_Ouminus__class_Ouminus(_u2620, c_Groups_Oone__class_Oone(_u2620))), _u2622)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), _u2621), _u2622))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2623) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2624, _u2625) | ~c_Orderings_Oord__class_Oless(_u2623, c_Groups_Oone__class_Oone(_u2623), _u2626) | c_Orderings_Oord__class_Oless(_u2623, hAPP(hAPP(c_Power_Opower__class_Opower(_u2623), _u2626), _u2624), hAPP(hAPP(c_Power_Opower__class_Opower(_u2623), _u2626), _u2625)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2627) | ~c_Orderings_Oord__class_Oless(_u2627, c_Groups_Oone__class_Oone(_u2627), _u2628) | ~c_Orderings_Oord__class_Oless(_u2627, hAPP(hAPP(c_Power_Opower__class_Opower(_u2627), _u2628), _u2629), hAPP(hAPP(c_Power_Opower__class_Opower(_u2627), _u2628), _u2630)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2629, _u2630) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oone__class_Oone(_u2631), _u2632) | ~c_Orderings_Oord__class_Oless(_u2631, hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2633), hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2634)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2633, _u2634) )).
% 12.17/12.37 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oone__class_Oone(_u2631), _u2632) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2633, _u2634) | c_Orderings_Oord__class_Oless(_u2631, hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2633), hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2634)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2635) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, _u2637) | ~c_Orderings_Oord__class_Oless__eq(_u2635, c_Groups_Oone__class_Oone(_u2635), _u2638) | c_Orderings_Oord__class_Oless__eq(_u2635, hAPP(hAPP(c_Power_Opower__class_Opower(_u2635), _u2638), _u2636), hAPP(hAPP(c_Power_Opower__class_Opower(_u2635), _u2638), _u2637)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2639) | ~c_Orderings_Oord__class_Oless(_u2639, c_Groups_Ozero__class_Ozero(_u2639), _u2640) | ~c_Orderings_Oord__class_Oless(_u2639, _u2640, c_Groups_Oone__class_Oone(_u2639)) | c_Orderings_Oord__class_Oless(_u2639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2639), _u2640), hAPP(hAPP(c_Power_Opower__class_Opower(_u2639), _u2640), _u2641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2639), _u2640), _u2641)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2642) | ~c_Orderings_Oord__class_Oless(_u2642, c_Groups_Ozero__class_Ozero(_u2642), _u2643) | ~c_Orderings_Oord__class_Oless(_u2642, _u2643, c_Groups_Oone__class_Oone(_u2642)) | c_Orderings_Oord__class_Oless(_u2642, hAPP(hAPP(c_Power_Opower__class_Opower(_u2642), _u2643), c_Nat_OSuc(_u2644)), c_Groups_Oone__class_Oone(_u2642)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2645) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2646, _u2647) | ~c_Orderings_Oord__class_Oless(_u2645, c_Groups_Ozero__class_Ozero(_u2645), _u2648) | ~c_Orderings_Oord__class_Oless(_u2645, _u2648, c_Groups_Oone__class_Oone(_u2645)) | c_Orderings_Oord__class_Oless(_u2645, hAPP(hAPP(c_Power_Opower__class_Opower(_u2645), _u2648), _u2647), hAPP(hAPP(c_Power_Opower__class_Opower(_u2645), _u2648), _u2646)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2649) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2649), _u2650), _u2651) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2649), _u2652), _u2651)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) | ~c_Orderings_Oord__class_Oless__eq(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2652) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2651) | ( _u2650 = _u2652) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2653) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2654, _u2655) | ~c_Orderings_Oord__class_Oless__eq(_u2653, c_Groups_Ozero__class_Ozero(_u2653), _u2656) | ~c_Orderings_Oord__class_Oless__eq(_u2653, _u2656, c_Groups_Oone__class_Oone(_u2653)) | c_Orderings_Oord__class_Oless__eq(_u2653, hAPP(hAPP(c_Power_Opower__class_Opower(_u2653), _u2656), _u2655), hAPP(hAPP(c_Power_Opower__class_Opower(_u2653), _u2656), _u2654)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2657) | ~c_Orderings_Oord__class_Oless(_u2657, c_Groups_Oone__class_Oone(_u2657), _u2658) | ~c_Orderings_Oord__class_Oless__eq(_u2657, hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2659), hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2660)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2659, _u2660) )).
% 12.17/12.37 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2657) | ~c_Orderings_Oord__class_Oless(_u2657, c_Groups_Oone__class_Oone(_u2657), _u2658) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2659, _u2660) | c_Orderings_Oord__class_Oless__eq(_u2657, hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2659), hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2660)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2661) | ~c_Orderings_Oord__class_Oless(_u2661, c_Groups_Oone__class_Oone(_u2661), _u2662) | ~c_Orderings_Oord__class_Oless__eq(_u2661, hAPP(hAPP(c_Power_Opower__class_Opower(_u2661), _u2662), _u2663), hAPP(hAPP(c_Power_Opower__class_Opower(_u2661), _u2662), _u2664)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2663, _u2664) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_reduce__poly__simple ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_reduce__poly__simple-1, axiom, ( ( _u2666 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u2667 = 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), _u2666), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem68(_u2667, _u2666)), _u2667)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u2668) | ( c_Power_Opower__class_Opower(_u2668) = c_Power_Opower_Opower(_u2668, c_Groups_Oone__class_Oone(_u2668), c_Groups_Otimes__class_Otimes(_u2668))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zpower__zmod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2669, _u2670)), _u2671), _u2670) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2669), _u2671), _u2670)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zmult2__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2672) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2673, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2674), _u2672)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2673, _u2674), _u2672)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2676, _u2678) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2678, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2678, _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) )).
% 12.17/12.37 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2678, _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2676, _u2678) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2678, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ( _u2694 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2690, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.17/12.37 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2694) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2679) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2679, _u2694) | ( _u2692 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2694), _u2680), _u2679)) | hBOOL(hAPP(_u2690, _u2680)) )).
% 12.17/12.37 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2694, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2694, _u2681) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2681, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2692 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2694), _u2682), _u2681)) | hBOOL(hAPP(_u2690, _u2682)) )).
% 12.17/12.37 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.17/12.37 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.17/12.37 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.17/12.37 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2696)), _u2697) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2696), _u2697))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult__zless__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2698, _u2699) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2700) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2700), _u2698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2700), _u2699)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2701 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37 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), _u2701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2702 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37 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), _u2701) | ( _u2701 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2702 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2703) = _u2703) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2704), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2704) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2706, _u2707)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), _u2706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), _u2707))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 12.17/12.37 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, _u2708, _u2709)), _u2710) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2708), _u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2709), _u2710))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2711), _u2712)), _u2713) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2712), _u2713))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2714), _u2715) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2715), _u2714)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2716), _u2717), _u2718) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2719), _u2720), _u2721)) | ~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), _u2719), _u2720), _u2721), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2718, _u2716) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2721) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2719) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2719, _u2716) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2720, _u2717) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2722), _u2723), _u2724), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2722), _u2725), _u2726)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2726, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2722, _u2726) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2722, _u2724) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2725, _u2723) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2727), _u2728), _u2729) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2730), _u2731), _u2732)) | ~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), _u2730), _u2731), _u2732)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2732, _u2730) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2729) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2730) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2730, _u2727) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2728, _u2731) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2733), _u2734), _u2735), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2733), _u2736), _u2737)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2735) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2735, _u2733) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2737, _u2733) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2734, _u2736) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2738), _u2739), _u2740), 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), _u2740) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2738) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2739, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2741), _u2742), _u2743)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2743, _u2741) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2741) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2742) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_self__quotient__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2744) | ( _u2744 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2745, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2744), _u2746))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2745, _u2744) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2746) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_self__quotient__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2747) | ( _u2747 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2747), _u2749))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2748) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2749, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ( _u2765 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2761, _u2763)) )).
% 12.17/12.37 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2765) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2750) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2750, _u2765) | ( _u2763 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2765), _u2751), _u2750)) | hBOOL(hAPP(_u2761, _u2750)) )).
% 12.17/12.37 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2765, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2765, _u2752) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2752, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2763 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2765), _u2753), _u2752)) | hBOOL(hAPP(_u2761, _u2752)) )).
% 12.17/12.37 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.17/12.37 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.17/12.37 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult2__lemma__aux3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2767) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2768) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2768, _u2769) | 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), _u2769), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2770, _u2767)), _u2768)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult2__lemma__aux4-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2771) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2772) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2772, _u2773) | 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), _u2773), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2774, _u2771)), _u2772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2773), _u2771)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult2__lemma__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2775) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2776, _u2777) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2777, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2776), _u2775), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2776), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2778, _u2775)), _u2777)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmult2__lemma__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2779) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2780, _u2781) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2781, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | 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), _u2780), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2782, _u2779)), _u2781), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2784, _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2786, _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2784) )).
% 12.17/12.37 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2786, _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2784, _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2791, _u2793) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2791 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2793), skolem77(_u2793, _u2791))) )).
% 12.17/12.37 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u2792 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2794), _u2788)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2792, _u2794) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zmult1__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2795), _u2796), _u2797) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2795), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2796, _u2797)), _u2797)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__simps_I3_J-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2798), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2799, _u2800)), _u2800) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2798), _u2799), _u2800)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_split__pos__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | ~hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2801) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2801, _u2805) | ( _u2807 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2805), _u2802), _u2801)) | hBOOL(hAPP(hAPP(_u2806, _u2802), _u2801)) )).
% 12.17/12.37 cnf(fact_split__pos__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem79(_u2807, _u2806, _u2805)) )).
% 12.17/12.37 cnf(fact_split__pos__lemma-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem79(_u2807, _u2806, _u2805), _u2805) )).
% 12.17/12.37 cnf(fact_split__pos__lemma-4, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ( _u2807 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2805), skolem78(_u2807, _u2806, _u2805)), skolem79(_u2807, _u2806, _u2805))) )).
% 12.17/12.37 cnf(fact_split__pos__lemma-5, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ~hBOOL(hAPP(hAPP(_u2806, skolem78(_u2807, _u2806, _u2805)), skolem79(_u2807, _u2806, _u2805))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_split__neg__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, _u2808) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2808, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2814 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2812), _u2809), _u2808)) | hBOOL(hAPP(hAPP(_u2813, _u2809), _u2808)) )).
% 12.17/12.37 cnf(fact_split__neg__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, skolem81(_u2814, _u2813, _u2812)) )).
% 12.17/12.37 cnf(fact_split__neg__lemma-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem81(_u2814, _u2813, _u2812), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_split__neg__lemma-4, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ( _u2814 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2812), skolem80(_u2814, _u2813, _u2812)), skolem81(_u2814, _u2813, _u2812))) )).
% 12.17/12.37 cnf(fact_split__neg__lemma-5, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ~hBOOL(hAPP(hAPP(_u2813, skolem80(_u2814, _u2813, _u2812)), skolem81(_u2814, _u2813, _u2812))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zmult2__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2815) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2817), _u2815)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2817), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2816, _u2817), _u2815)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, _u2817))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zmod__equality2-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2818, _u2819)), _u2819), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2818, _u2819)), _u2820) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2818, _u2820)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zmod__equality-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2821), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2822, _u2821)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2822, _u2821)), _u2823) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2822, _u2823)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zmult1__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), _u2825), _u2826) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2825, _u2826)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2825, _u2826)), _u2826))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u2827 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2828), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2827, _u2828)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2827, _u2828))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2829, _u2830, _u2831), _u2832), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2830) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2833, _u2834, _u2835), _u2836), c_Nat_OSuc(_u2837)) = hAPP(hAPP(_u2835, _u2836), hAPP(hAPP(c_Power_Opower_Opower(_u2833, _u2834, _u2835), _u2836), _u2837))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_DeMoivre2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_DeMoivre2-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_Complex_Orcis(_u2838, _u2839)), _u2840) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2838), _u2840), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2840)), _u2839))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_realpow__pos__nth ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_realpow__pos__nth-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2842) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2843) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem82(_u2843, _u2842)) )).
% 12.17/12.37 cnf(fact_realpow__pos__nth-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2842) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2843) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), skolem82(_u2843, _u2842)), _u2842) = _u2843) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__self-1, axiom, ( ( _u2844 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2844, _u2844) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_int__div__less__self-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2845) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2846) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2845, _u2846), _u2845) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2848) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2848) )).
% 12.17/12.37 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), _u2849) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2849) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zle__add1__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2852, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2854, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2852, _u2854) )).
% 12.17/12.37 cnf(fact_zle__add1__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2853, _u2855) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2853, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2855, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add1__zle__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2858, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2860) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2858, _u2860) )).
% 12.17/12.37 cnf(fact_add1__zle__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2859, _u2861) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2859, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2861) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2862) | 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), _u2862)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2863, _u2864) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2863, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2864) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2866), _u2866), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2866, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_odd__less__0-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2867, 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), _u2867), _u2867), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zless__add1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2870, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2872, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2870, _u2872) | ( _u2870 = _u2872) )).
% 12.17/12.37 cnf(fact_zless__add1__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2873, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, _u2873) )).
% 12.17/12.37 cnf(fact_zless__add1__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2873, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2871 != _u2873) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 12.17/12.37 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)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 12.17/12.37 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), _u2874), _u2874) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zadd1__eq-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2875, _u2876), _u2877) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2875, _u2877), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2876, _u2877)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2875, _u2877), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2876, _u2877)), _u2877))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zdiv__trivial-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2878, _u2879), _u2879) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2881, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2882, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2882) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__le__nonneg__dividend-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2883) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2883, _u2884), _u2883) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Divides_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), _u2885) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2886) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2885, _u2886)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2887, _u2887) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2888) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2889, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2890)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2889, _u2890) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zminus1__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2891), _u2892) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2891, _u2892) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__mod__bound-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2893) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2894, _u2893), _u2893) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__mod__bound-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2896, _u2895)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2897, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2898)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2897), _u2898))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2899), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2900)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2899, _u2900))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zminus__zmod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2901, _u2902)), _u2902) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2901), _u2902)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2903, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2904, _u2903) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2903, _u2904) = _u2903) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__mod__conj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2906, _u2905), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_neg__mod__conj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2906, _u2905)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__mod__sign-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2907, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2908, _u2907), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__pos__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2909) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2909, _u2910), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2909, _u2910) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2909, _u2910)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__pos__pos__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2911) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2911, _u2912) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2911, _u2912) = _u2911) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__mod__conj-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2913) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2914, _u2913)) )).
% 12.17/12.37 cnf(fact_pos__mod__conj-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2913) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2914, _u2913), _u2913) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__mod__sign-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2915) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2916, _u2915)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2917, _u2918) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2919, _u2917), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2919, _u2918)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zle__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2920, _u2920) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zle__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2921, _u2922) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2922, _u2921) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zle__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2923, _u2924) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2924, _u2925) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2923, _u2925) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zle__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2926, _u2927) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2927, _u2926) | ( _u2926 = _u2927) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2928, _u2929), _u2930) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2928, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2929, _u2930))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2932, _u2933)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2932, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2933))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2934, _u2935) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2935, _u2934)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2936, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2936) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2937) = _u2937) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 12.17/12.37 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)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zminus__zadd__distrib-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2938, _u2939)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2938), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2939))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__zminus__inverse2-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2940), _u2940) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2941, _u2942) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2941, _u2943), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2942, _u2943)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zminus__zminus-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2944)) = _u2944) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zless__linear-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2945, _u2946) | ( _u2945 = _u2946) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2946, _u2945) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zless__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2949, _u2951) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2949, _u2951) )).
% 12.17/12.37 cnf(fact_zless__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2949, _u2951) | ( _u2949 != _u2951) )).
% 12.17/12.37 cnf(fact_zless__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2950, _u2952) | ( _u2950 = _u2952) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, _u2952) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zadd__zless__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2953, _u2954) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2955, _u2956) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2953, _u2955), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2954, _u2956)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = 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), _u2959) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2959, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = 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), _u2959) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2959) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2959, _u2961) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2959, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2959, _u2961) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2959) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2962 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = 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), _u2960) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2960, _u2962) )).
% 12.17/12.37 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2960, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2962, _u2960) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__imp__zdiv__nonneg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2963) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2964, _u2963)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) )).
% 12.17/12.37 cnf(fact_pos__imp__zdiv__nonneg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2963) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2964, _u2963)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__imp__zdiv__pos__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2965) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2966, _u2965)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2965, _u2966) )).
% 12.17/12.37 cnf(fact_pos__imp__zdiv__pos__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2965) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2965, _u2966) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2966, _u2965)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_nonneg1__imp__zdiv__pos__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2968, _u2967) )).
% 12.17/12.37 cnf(fact_nonneg1__imp__zdiv__pos__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2968) )).
% 12.17/12.37 cnf(fact_nonneg1__imp__zdiv__pos__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2968, _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2968) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2970) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2970, _u2971) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2969, _u2971), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2969, _u2970)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__nonneg__neg__le0-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2972) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2973, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2972, _u2973), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__pos__pos__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2974) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2974, _u2975) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2974, _u2975) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2976, 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), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2977, _u2976)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2977, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2976, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2977, 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), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2977, _u2976)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2978, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2979) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2978, _u2979), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2980, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2981) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2981, _u2982) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2980, _u2981), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2980, _u2982)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2983, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2984, _u2983) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2983, _u2984) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2985, _u2986) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2987) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2985, _u2987), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2986, _u2987)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2988, _u2989) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2990, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2989, _u2990), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2988, _u2990)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2991), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2992)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2991, _u2992)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2993, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2994)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2993), _u2994)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_div__neg__pos__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2995, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2996) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2995, _u2996), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2997, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2998, _u2997), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2998) )).
% 12.17/12.37 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2997, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2998) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2998, _u2997), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_pos__imp__zdiv__neg__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2999) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3000, _u2999), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3000, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37 cnf(fact_pos__imp__zdiv__neg__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2999) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3000, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3000, _u2999), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_zdiv__zero-1, axiom, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3001) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Divides_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), _u3002) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3003) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3002, _u3003)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_rcis__zero__mod ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_rcis__zero__mod-1, axiom, ( ( c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3004) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_rcis__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_rcis__mult-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Orcis(_u3005, _u3006)), c_Complex_Orcis(_u3007, _u3008)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u3005), _u3007), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u3006, _u3008))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3009) | 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), _u3009), _u3010)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3011) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3012) | 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), _u3011), _u3012)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 12.17/12.37 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)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 12.17/12.37 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)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 12.17/12.37 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), _u3013) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3014) | 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, _u3013, _u3014)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_z3mod__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3017) | ( c_SMT_Oz3mod(_u3019, _u3017) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3019, _u3017)) )).
% 12.17/12.37 cnf(fact_z3mod__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3018) | ( c_SMT_Oz3mod(_u3020, _u3018) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3020, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u3018))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_z3div__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3023) | ( c_SMT_Oz3div(_u3025, _u3023) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3025, _u3023)) )).
% 12.17/12.37 cnf(fact_z3div__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3024) | ( c_SMT_Oz3div(_u3026, _u3024) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3026, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u3024)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_int__power__div__base-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3027) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3028) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3028), _u3027), _u3028) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3028), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3027, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_realpow__pos__nth__unique ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_realpow__pos__nth__unique-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem83(_u3032, _u3031)) )).
% 12.17/12.37 cnf(fact_realpow__pos__nth__unique-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), skolem83(_u3032, _u3031)), _u3031) = _u3032) )).
% 12.17/12.37 cnf(fact_realpow__pos__nth__unique-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3029) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u3029), _u3031) != _u3032) | ( _u3029 = skolem83(_u3032, _u3031)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u3033) | ( c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3034), _u3035), _u3036) != c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3037), _u3035), _u3038)) | ( _u3036 = c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), c_Groups_Ominus__class_Ominus(_u3033, _u3037, _u3034)), _u3035), _u3038)) )).
% 12.17/12.37 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u3033) | ( _u3036 != c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), c_Groups_Ominus__class_Ominus(_u3033, _u3037, _u3034)), _u3035), _u3038)) | ( c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3034), _u3035), _u3036) = c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3037), _u3035), _u3038)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u3039) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3040), _u3041), _u3042) != c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3043), _u3041), _u3044)) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), c_Groups_Ominus__class_Ominus(_u3039, _u3040, _u3043)), _u3041), _u3042) = _u3044) )).
% 12.17/12.37 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u3039) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), c_Groups_Ominus__class_Ominus(_u3039, _u3040, _u3043)), _u3041), _u3042) != _u3044) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3040), _u3041), _u3042) = c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3043), _u3041), _u3044)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult_Oprod__diff__prod ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult_Oprod__diff__prod-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u3045) | ( c_Groups_Ominus__class_Ominus(_u3045, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3046), _u3047), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3048), _u3049)) = c_Groups_Oplus__class_Oplus(_u3045, c_Groups_Oplus__class_Oplus(_u3045, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), c_Groups_Ominus__class_Ominus(_u3045, _u3046, _u3048)), c_Groups_Ominus__class_Ominus(_u3045, _u3047, _u3049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), c_Groups_Ominus__class_Ominus(_u3045, _u3046, _u3048)), _u3049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3048), c_Groups_Ominus__class_Ominus(_u3045, _u3047, _u3049)))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mult__diff__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mult__diff__mult-1, axiom, ( ~class_Rings_Oring(_u3050) | ( c_Groups_Ominus__class_Ominus(_u3050, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3051), _u3052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3053), _u3054)) = c_Groups_Oplus__class_Oplus(_u3050, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3051), c_Groups_Ominus__class_Ominus(_u3050, _u3052, _u3054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), c_Groups_Ominus__class_Ominus(_u3050, _u3051, _u3053)), _u3054))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__Suc__1-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u3055), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3055) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3056, c_Nat_OSuc(_u3057)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3056, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3057)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u3058) | ( c_Divides_Odiv__class_Omod(_u3058, _u3059, _u3060) != c_Divides_Odiv__class_Omod(_u3058, _u3061, _u3060)) | ( c_Divides_Odiv__class_Omod(_u3058, _u3062, _u3060) != c_Divides_Odiv__class_Omod(_u3058, _u3063, _u3060)) | ( c_Divides_Odiv__class_Omod(_u3058, c_Groups_Ominus__class_Ominus(_u3058, _u3059, _u3062), _u3060) = c_Divides_Odiv__class_Omod(_u3058, c_Groups_Ominus__class_Ominus(_u3058, _u3061, _u3063), _u3060)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u3064) | ( c_Divides_Odiv__class_Omod(_u3064, c_Groups_Ominus__class_Ominus(_u3064, _u3065, _u3066), _u3067) = c_Divides_Odiv__class_Omod(_u3064, c_Groups_Ominus__class_Ominus(_u3064, c_Divides_Odiv__class_Omod(_u3064, _u3065, _u3067), c_Divides_Odiv__class_Omod(_u3064, _u3066, _u3067)), _u3067)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u3068) | ( c_Divides_Odiv__class_Omod(_u3068, c_Groups_Ominus__class_Ominus(_u3068, _u3069, _u3070), _u3071) = c_Divides_Odiv__class_Omod(_u3068, c_Groups_Ominus__class_Ominus(_u3068, c_Divides_Odiv__class_Omod(_u3068, _u3069, _u3071), _u3070), _u3071)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u3072) | ( c_Divides_Odiv__class_Omod(_u3072, c_Groups_Ominus__class_Ominus(_u3072, _u3073, _u3074), _u3075) = c_Divides_Odiv__class_Omod(_u3072, c_Groups_Ominus__class_Ominus(_u3072, _u3073, c_Divides_Odiv__class_Omod(_u3072, _u3074, _u3075)), _u3075)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__geq-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3076, _u3077) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3076, _u3077) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3076, _u3077), _u3077)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_mod__if-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3080, _u3082) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3080, _u3082) = _u3080) )).
% 12.17/12.37 cnf(fact_mod__if-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3081, _u3083) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3081, _u3083) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3081, _u3083), _u3083)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__mod__geq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3084, _u3085) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3085, _u3084) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3085, _u3084), _u3084)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_norm__triangle__ineq2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_norm__triangle__ineq2-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u3086) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3086, _u3087), c_RealVector_Onorm__class_Onorm(_u3086, _u3088)), c_RealVector_Onorm__class_Onorm(_u3086, c_Groups_Ominus__class_Ominus(_u3086, _u3087, _u3088))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u3089) | ( c_Groups_Ominus__class_Ominus(_u3089, _u3090, c_Groups_Ozero__class_Ozero(_u3089)) = _u3090) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u3091) | ( c_Groups_Ominus__class_Ominus(_u3091, _u3092, _u3092) = c_Groups_Ozero__class_Ozero(_u3091)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u3093) | ( _u3094 != _u3095) | ( c_Groups_Ominus__class_Ominus(_u3093, _u3094, _u3095) = c_Groups_Ozero__class_Ozero(_u3093)) )).
% 12.17/12.37 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u3093) | ( c_Groups_Ominus__class_Ominus(_u3093, _u3094, _u3095) != c_Groups_Ozero__class_Ozero(_u3093)) | ( _u3094 = _u3095) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u3096) | ( c_Groups_Ominus__class_Ominus(_u3096, _u3097, _u3098) != c_Groups_Ozero__class_Ozero(_u3096)) | ( _u3097 = _u3098) )).
% 12.17/12.37 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u3096) | ( _u3097 != _u3098) | ( c_Groups_Ominus__class_Ominus(_u3096, _u3097, _u3098) = c_Groups_Ozero__class_Ozero(_u3096)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3099) | ( c_Groups_Ominus__class_Ominus(_u3099, _u3100, _u3101) != c_Groups_Ominus__class_Ominus(_u3099, _u3102, _u3103)) | ~c_Orderings_Oord__class_Oless__eq(_u3099, _u3100, _u3101) | c_Orderings_Oord__class_Oless__eq(_u3099, _u3102, _u3103) )).
% 12.17/12.37 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3099) | ( c_Groups_Ominus__class_Ominus(_u3099, _u3100, _u3101) != c_Groups_Ominus__class_Ominus(_u3099, _u3102, _u3103)) | ~c_Orderings_Oord__class_Oless__eq(_u3099, _u3102, _u3103) | c_Orderings_Oord__class_Oless__eq(_u3099, _u3100, _u3101) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3104) | ( c_Groups_Ominus__class_Ominus(_u3104, c_Groups_Oplus__class_Oplus(_u3104, _u3105, _u3106), _u3106) = _u3105) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3107) | ( c_Groups_Oplus__class_Oplus(_u3107, c_Groups_Ominus__class_Ominus(_u3107, _u3108, _u3109), _u3109) = _u3108) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__0__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3110) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3111) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__self__eq__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3112, _u3112) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diffs0__imp__equal-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3113, _u3114) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3114, _u3113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3113 = _u3114) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3116) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3117) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3116, _u3115), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3117, _u3115)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3116, _u3117) )).
% 12.17/12.37 cnf(fact_le__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3116) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3117) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3116, _u3117) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3116, _u3115), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3117, _u3115)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3118, _u3119) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3118, _u3120) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3119, _u3118), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3120, _u3118)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3119, _u3120)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_eq__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3123) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3122, _u3121) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3123, _u3121)) | ( _u3122 = _u3123) )).
% 12.17/12.37 cnf(fact_eq__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3123) | ( _u3122 != _u3123) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3122, _u3121) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3123, _u3121)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__diff__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3124, _u3125) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3125, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3125, _u3124)) = _u3124) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3126, _u3127) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3126, _u3128), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3127, _u3128)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3129, _u3130) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3131, _u3130), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3131, _u3129)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__le__self-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3132, _u3133), _u3132) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__cancel2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3134, _u3135), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3136, _u3135)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3134, _u3136)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__cancel-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3137, _u3138), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3137, _u3139)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3138, _u3139)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__diff__left-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3140, _u3141), _u3142) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3140, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3141, _u3142))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__inverse-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3143, _u3144), _u3143) = _u3144) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__inverse2-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3145, _u3146), _u3146) = _u3145) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__imp__diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3147, _u3148) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3147, _u3149), _u3148) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3150, _u3151) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3150, _u3152) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3152, _u3151), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3152, _u3150)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u3153) | ( c_Groups_Ouminus__class_Ouminus(_u3153, c_Groups_Ominus__class_Ominus(_u3153, _u3154, _u3155)) = c_Groups_Ominus__class_Ominus(_u3153, _u3155, _u3154)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3156) | ( c_Groups_Ominus__class_Ominus(_u3156, _u3157, _u3158) != c_Groups_Ominus__class_Ominus(_u3156, _u3159, _u3160)) | ~c_Orderings_Oord__class_Oless(_u3156, _u3157, _u3158) | c_Orderings_Oord__class_Oless(_u3156, _u3159, _u3160) )).
% 12.17/12.37 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3156) | ( c_Groups_Ominus__class_Ominus(_u3156, _u3157, _u3158) != c_Groups_Ominus__class_Ominus(_u3156, _u3159, _u3160)) | ~c_Orderings_Oord__class_Oless(_u3156, _u3159, _u3160) | c_Orderings_Oord__class_Oless(_u3156, _u3157, _u3158) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3161, _u3162) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3162, _u3163), _u3161) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3162, _u3161), _u3163)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__assoc2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3164, _u3165) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3165, _u3164), _u3166) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3165, _u3166), _u3164)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3167, _u3168) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3169, _u3168), _u3167) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3169, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3168, _u3167))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3170, _u3171) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3171, _u3170) != _u3172) | ( _u3171 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3172, _u3170)) )).
% 12.17/12.37 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3170, _u3171) | ( _u3171 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3172, _u3170)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3171, _u3170) = _u3172) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3173, _u3174) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3174, _u3173), _u3173) = _u3174) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__diff__conv2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3175, _u3176) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3177, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3176, _u3175)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3177, _u3175), _u3176) )).
% 12.17/12.37 cnf(fact_le__diff__conv2-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3175, _u3176) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3177, _u3175), _u3176) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3177, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3176, _u3175)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__assoc-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3178, _u3179) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3180, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3179, _u3178)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3180, _u3179), _u3178)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff__inverse-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3181, _u3182) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3181, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3182, _u3181)) = _u3182) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__add__diff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3183, _u3184) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3185, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3184, _u3185), _u3183)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_le__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3189, _u3191), _u3193) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3189, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3193, _u3191)) )).
% 12.17/12.37 cnf(fact_le__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3190, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3194, _u3192)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3190, _u3192), _u3194) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__diff__right-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3195, _u3196) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3197, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3196, _u3195)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3197, _u3195), _u3196)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__diff__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3199) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3200) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3199, _u3198), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3200, _u3198)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3199, _u3200) )).
% 12.17/12.37 cnf(fact_less__diff__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3199) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3200) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3199, _u3200) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3199, _u3198), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3200, _u3198)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3201, _u3202) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3203, _u3201) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3201, _u3203), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3202, _u3203)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_add__diff__inverse-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3204, _u3205) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3205, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3204, _u3205)) = _u3204) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_less__diff__conv-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3209, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3211, _u3213)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3209, _u3213), _u3211) )).
% 12.17/12.37 cnf(fact_less__diff__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3210, _u3214), _u3212) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3210, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3212, _u3214)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_Suc__diff__le-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3215, _u3216) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u3216), _u3215) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3216, _u3215))) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__is__0__eq-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3219, _u3221) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3219, _u3221) )).
% 12.17/12.37 cnf(fact_diff__is__0__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3220, _u3222) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3220, _u3222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3223, _u3224) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3223, _u3224) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__add__0-1, axiom, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3225, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3225, _u3226)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less__Suc-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3227, _u3228), c_Nat_OSuc(_u3227)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3229) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3230) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3230, _u3229), _u3230) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 12.17/12.37 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, _u3233, _u3235)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3235, _u3233) )).
% 12.17/12.37 cnf(fact_zero__less__diff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3236, _u3234) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3234, _u3236)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u3237) | ( c_Groups_Ominus__class_Ominus(_u3237, _u3238, c_Groups_Ouminus__class_Ouminus(_u3237, _u3239)) = c_Groups_Oplus__class_Oplus(_u3237, _u3238, _u3239)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u3240) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u3240)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ocancel__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ocancel__comm__monoid__add-1, axiom, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u3241) | class_Lattices_Oboolean__algebra(tc_fun(_u3242, _u3241)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u3243) | class_Orderings_Opreorder(tc_fun(_u3244, _u3243)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u3245) | class_Orderings_Oorder(tc_fun(_u3246, _u3245)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u3247) | class_Orderings_Oord(tc_fun(_u3248, _u3247)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u3249) | class_Groups_Ouminus(tc_fun(_u3250, _u3249)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero-1, axiom, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__field ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__field-1, axiom, ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Fields_Olinordered__field-1, axiom, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Osemiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Fields_Ofield ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Power_Opower ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Power_Opower-1, axiom, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Ozero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Rings_Oidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_RealDef__Oreal__Groups_Oone ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_RealDef__Oreal__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__field ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__field-1, axiom, ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0-1, axiom, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring-1, axiom, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Osemiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Fields_Ofield ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Power_Opower ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Power_Opower-1, axiom, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Ozero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Oring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Rings_Oidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Complex__Ocomplex__Groups_Oone ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Complex__Ocomplex__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( ~class_Rings_Oidom(_u3251) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u3251)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u3252) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u3252)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u3253) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u3253)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u3254) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u3254)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u3255) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u3255)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u3256) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u3256)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u3257) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u3257)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u3258) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u3258)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u3259) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u3259)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u3260) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u3260)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u3261) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u3261)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3262) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u3262)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict-1, axiom, ( ~class_Rings_Olinordered__idom(_u3263) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u3263)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u3264) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u3264)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3265) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u3265)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1-1, axiom, ( ~class_Rings_Olinordered__idom(_u3266) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u3266)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add-1, axiom, ( ~class_Rings_Olinordered__idom(_u3267) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u3267)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add-1, axiom, ( ~class_Groups_Ocancel__comm__monoid__add(_u3268) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u3268)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3269) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u3269)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__semidom-1, axiom, ( ~class_Rings_Olinordered__idom(_u3270) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u3270)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3271) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u3271)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3272) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u3272)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oab__semigroup__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3273) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u3273)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oordered__semiring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3274) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u3274)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ono__zero__divisors-1, axiom, ( ~class_Rings_Oidom(_u3275) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u3275)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3276) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u3276)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3277) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u3277)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Olinordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u3278) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u3278)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3279) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u3279)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3280) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u3280)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Divides_Osemiring__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Divides_Osemiring__div-1, axiom, ( ~class_Fields_Ofield(_u3281) | class_Divides_Osemiring__div(tc_Polynomial_Opoly(_u3281)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ocomm__semiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3282) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u3282)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oab__group__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oab__group__add-1, axiom, ( ~class_Groups_Oab__group__add(_u3283) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u3283)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ozero__neq__one-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3284) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u3284)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oordered__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oordered__ring-1, axiom, ( ~class_Rings_Olinordered__idom(_u3285) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u3285)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Orderings_Opreorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Orderings_Opreorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u3286) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u3286)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Orderings_Olinorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Orderings_Olinorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u3287) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u3287)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Omonoid__mult-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3288) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u3288)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3289) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u3289)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Omonoid__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Omonoid__add-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3290) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u3290)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Osemiring__0-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3291) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u3291)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ogroup__add ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ogroup__add-1, axiom, ( ~class_Groups_Oab__group__add(_u3292) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u3292)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Divides_Oring__div ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Divides_Oring__div-1, axiom, ( ~class_Fields_Ofield(_u3293) | class_Divides_Oring__div(tc_Polynomial_Opoly(_u3293)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Omult__zero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Omult__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3294) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u3294)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Ocomm__ring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Ocomm__ring-1, axiom, ( ~class_Rings_Ocomm__ring(_u3295) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u3295)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Orderings_Oorder ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Orderings_Oorder-1, axiom, ( ~class_Rings_Olinordered__idom(_u3296) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u3296)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Int_Oring__char__0 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Int_Oring__char__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u3297) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u3297)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Osemiring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Osemiring-1, axiom, ( ~class_Rings_Ocomm__semiring__0(_u3298) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u3298)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Orderings_Oord ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Orderings_Oord-1, axiom, ( ~class_Rings_Olinordered__idom(_u3299) | class_Orderings_Oord(tc_Polynomial_Opoly(_u3299)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ouminus ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ouminus-1, axiom, ( ~class_Groups_Oab__group__add(_u3300) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u3300)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oring__1 ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oring__1-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u3301) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u3301)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Power_Opower ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Power_Opower-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3302) | class_Power_Opower(tc_Polynomial_Opoly(_u3302)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Ozero ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Ozero-1, axiom, ( ~class_Groups_Ozero(_u3303) | class_Groups_Ozero(tc_Polynomial_Opoly(_u3303)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oring ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oring-1, axiom, ( ~class_Rings_Ocomm__ring(_u3304) | class_Rings_Oring(tc_Polynomial_Opoly(_u3304)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Rings_Oidom ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Rings_Oidom-1, axiom, ( ~class_Rings_Oidom(_u3305) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3305)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: arity_Polynomial__Opoly__Groups_Oone ( axiom ) converted to clauses:
% 12.17/12.37 cnf(arity_Polynomial__Opoly__Groups_Oone-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u3306) | class_Groups_Oone(tc_Polynomial_Opoly(_u3306)) )).
% 12.17/12.37
% 12.17/12.37 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 12.17/12.37 cnf(conj_0-1, hypothesis, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(_u3309, skolem84(_u3309))), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), hAPP(_u3309, skolem85(_u3309)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem85(_u3309)))))) | v_thesis____ )).
% 12.17/12.37
% 12.17/12.37 % Formula: conj_1 ( conjecture ) (definitionally) converted to clauses:
% 12.17/12.37 cnf(conj_1-1, negated_conjecture, ( ~v_thesis____ )).
% 12.17/12.37
% 12.17/12.37 % Problem matrix:
% 12.17/12.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 12.17/12.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 12.17/12.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 12.17/12.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-5, 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)) )).
% 12.17/12.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Polynomial_Opoly(__eqx_0, __eqx_1) = c_Polynomial_Opoly(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-7, 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)) )).
% 12.17/12.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_OSuc(__eqx_0) = c_Nat_OSuc(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_RealDef_Oreal(__eqx_0, __eqx_1) = c_RealDef_Oreal(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Rings_Oinverse__class_Odivide(__eqx_0, __eqx_1, __eqx_2) = c_Rings_Oinverse__class_Odivide(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-12, 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)) )).
% 12.17/12.37 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Polynomial_Opoly(__eqx_0) = tc_Polynomial_Opoly(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-15, 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)) )).
% 12.17/12.37 cnf(matrix-16, 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)) )).
% 12.17/12.37 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatceiling(__eqx_0) = c_RComplete_Onatceiling(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( c_RComplete_Onatfloor(__eqx_0) = c_RComplete_Onatfloor(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Odiv(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Odiv(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Divides_Odiv__class_Omod(__eqx_0, __eqx_1, __eqx_2) = c_Divides_Odiv__class_Omod(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-23, 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)) )).
% 12.17/12.37 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Complex_Orcis(__eqx_0, __eqx_1) = c_Complex_Orcis(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-27, 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)) )).
% 12.17/12.37 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( skolem8(__eqx_0) = skolem8(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem12(__eqx_0, __eqx_1, __eqx_2) = skolem12(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem14(__eqx_0, __eqx_1, __eqx_2) = skolem14(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem15(__eqx_0, __eqx_1) = skolem15(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem16(__eqx_0, __eqx_1, __eqx_2) = skolem16(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem17(__eqx_0, __eqx_1) = skolem17(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem18(__eqx_0, __eqx_1, __eqx_2) = skolem18(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem19(__eqx_0, __eqx_1) = skolem19(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem20(__eqx_0, __eqx_1) = skolem20(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( skolem22(__eqx_0) = skolem22(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ( skolem23(__eqx_0) = skolem23(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem24(__eqx_0, __eqx_1) = skolem24(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( skolem25(__eqx_0) = skolem25(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem26(__eqx_0, __eqx_1) = skolem26(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.17/12.37 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem30(__eqx_0, __eqx_1) = skolem30(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem31(__eqx_0, __eqx_1) = skolem31(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem32(__eqx_0, __eqx_1) = skolem32(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem33(__eqx_0, __eqx_1) = skolem33(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem34(__eqx_0, __eqx_1) = skolem34(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( skolem35(__eqx_0) = skolem35(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem36(__eqx_0, __eqx_1) = skolem36(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-57, 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)) )).
% 12.17/12.37 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem38(__eqx_0, __eqx_1) = skolem38(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem39(__eqx_0, __eqx_1, __eqx_2) = skolem39(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem40(__eqx_0, __eqx_1) = skolem40(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem41(__eqx_0, __eqx_1, __eqx_2) = skolem41(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem42(__eqx_0, __eqx_1) = skolem42(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem43(__eqx_0, __eqx_1) = skolem43(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem44(__eqx_0, __eqx_1) = skolem44(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem45(__eqx_0, __eqx_1) = skolem45(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem46(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem46(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.17/12.37 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem47(__eqx_0, __eqx_1) = skolem47(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem48(__eqx_0, __eqx_1) = skolem48(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.17/12.37 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem50(__eqx_0, __eqx_1, __eqx_2) = skolem50(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem51(__eqx_0, __eqx_1) = skolem51(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem52(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem52(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 12.17/12.37 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem54(__eqx_0, __eqx_1) = skolem54(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem55(__eqx_0, __eqx_1, __eqx_2) = skolem55(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem56(__eqx_0, __eqx_1, __eqx_2) = skolem56(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem57(__eqx_0, __eqx_1, __eqx_2) = skolem57(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem58(__eqx_0, __eqx_1, __eqx_2) = skolem58(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem59(__eqx_0, __eqx_1) = skolem59(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( skolem60(__eqx_0) = skolem60(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem61(__eqx_0, __eqx_1) = skolem61(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem62(__eqx_0, __eqx_1) = skolem62(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem63(__eqx_0, __eqx_1) = skolem63(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( skolem64(__eqx_0) = skolem64(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem65(__eqx_0, __eqx_1) = skolem65(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem66(__eqx_0, __eqx_1) = skolem66(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem67(__eqx_0, __eqx_1, __eqx_2) = skolem67(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem69(__eqx_0, __eqx_1, __eqx_2) = skolem69(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem70(__eqx_0, __eqx_1, __eqx_2) = skolem70(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem71(__eqx_0, __eqx_1, __eqx_2) = skolem71(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem72(__eqx_0, __eqx_1, __eqx_2) = skolem72(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem73(__eqx_0, __eqx_1, __eqx_2) = skolem73(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem74(__eqx_0, __eqx_1, __eqx_2) = skolem74(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem75(__eqx_0, __eqx_1, __eqx_2) = skolem75(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem76(__eqx_0, __eqx_1, __eqx_2) = skolem76(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem77(__eqx_0, __eqx_1) = skolem77(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem78(__eqx_0, __eqx_1, __eqx_2) = skolem78(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem79(__eqx_0, __eqx_1, __eqx_2) = skolem79(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem80(__eqx_0, __eqx_1, __eqx_2) = skolem80(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 12.17/12.37 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem82(__eqx_0, __eqx_1) = skolem82(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem83(__eqx_0, __eqx_1) = skolem83(__eqy_0, __eqy_1)) )).
% 12.17/12.37 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( skolem84(__eqx_0) = skolem84(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( skolem85(__eqx_0) = skolem85(__eqy_0)) )).
% 12.17/12.37 cnf(matrix-106, 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) )).
% 12.17/12.37 cnf(matrix-107, 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) )).
% 12.17/12.37 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__vector(__eqx_0) | class_RealVector_Oreal__normed__vector(__eqy_0) )).
% 12.17/12.37 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 12.17/12.37 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__field(__eqx_0) | class_RealVector_Oreal__normed__field(__eqy_0) )).
% 12.17/12.37 cnf(matrix-111, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 12.17/12.37 cnf(matrix-112, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 12.17/12.37 cnf(matrix-114, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra__1(__eqx_0) | class_RealVector_Oreal__normed__algebra__1(__eqy_0) )).
% 12.17/12.37 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 12.17/12.37 cnf(matrix-116, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 12.17/12.37 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 12.17/12.37 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-121, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-123, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 12.17/12.37 cnf(matrix-124, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-127, 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) )).
% 12.17/12.37 cnf(matrix-128, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-129, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-130, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 12.17/12.37 cnf(matrix-131, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 12.17/12.37 cnf(matrix-133, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 12.17/12.37 cnf(matrix-135, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 12.17/12.37 cnf(matrix-136, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring(__eqx_0) | class_Rings_Ocomm__ring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 12.17/12.37 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__0(__eqx_0) | class_Rings_Ocomm__semiring__0(__eqy_0) )).
% 12.17/12.37 cnf(matrix-139, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 12.17/12.37 cnf(matrix-140, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 12.17/12.37 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 12.17/12.37 cnf(matrix-142, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 12.17/12.37 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 12.17/12.37 cnf(matrix-144, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_SEQ_Odecseq(__eqx_0, __eqx_1) | c_SEQ_Odecseq(__eqy_0, __eqy_1) )).
% 12.17/12.37 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 12.17/12.37 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 12.17/12.37 cnf(matrix-147, 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) )).
% 12.17/12.37 cnf(matrix-148, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_SEQ_OBseq(__eqx_0, __eqx_1) | c_SEQ_OBseq(__eqy_0, __eqy_1) )).
% 12.17/12.37 cnf(matrix-149, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_SEQ_Oincseq(__eqx_0, __eqx_1) | c_SEQ_Oincseq(__eqy_0, __eqy_1) )).
% 12.17/12.37 cnf(matrix-150, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 12.17/12.37 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 12.17/12.37 cnf(matrix-152, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 12.17/12.37 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-154, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 12.17/12.37 cnf(matrix-155, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__div__algebra(__eqx_0) | class_RealVector_Oreal__normed__div__algebra(__eqy_0) )).
% 12.17/12.37 cnf(matrix-156, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 12.17/12.37 cnf(matrix-157, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 12.17/12.37 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-159, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-160, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 12.17/12.37 cnf(matrix-161, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 12.17/12.37 cnf(matrix-162, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 12.17/12.37 cnf(matrix-163, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 12.17/12.37 cnf(matrix-164, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 12.17/12.37 cnf(matrix-165, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 12.17/12.37 cnf(matrix-167, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-168, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-169, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-171, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 12.17/12.37 cnf(matrix-172, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 12.17/12.37 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 12.17/12.37 cnf(matrix-174, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 12.17/12.37 cnf(matrix-175, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 12.17/12.37 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 12.17/12.37 cnf(matrix-177, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 12.17/12.37 cnf(matrix-178, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 12.17/12.37 cnf(matrix-179, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 12.17/12.37 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 12.17/12.37 cnf(matrix-181, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__comm__monoid__add(__eqx_0) | class_Groups_Ocancel__comm__monoid__add(__eqy_0) )).
% 12.17/12.37 cnf(matrix-182, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 12.17/12.37 cnf(matrix-183, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_r) )).
% 12.17/12.37 cnf(matrix-184, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u3), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u3)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u4)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u4, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-185, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u5), v_r) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u5))) )).
% 12.17/12.37 cnf(matrix-186, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(skolem2, _u8)), v_r) )).
% 12.17/12.37 cnf(matrix-187, 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_p), hAPP(skolem2, _u9))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u9))))) )).
% 12.17/12.37 cnf(matrix-188, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u10), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u10)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u11)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u15, _u11) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u15, v_s____) )).
% 12.17/12.37 cnf(matrix-189, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem4(_u16)), v_r) )).
% 12.17/12.37 cnf(matrix-190, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem4(_u16))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem3(_u16))) )).
% 12.17/12.37 cnf(matrix-191, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, v_s____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u16, skolem3(_u16)) )).
% 12.17/12.37 cnf(matrix-192, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem5(_u18)), v_r) )).
% 12.17/12.37 cnf(matrix-193, 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_p), skolem5(_u18))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u18))))) )).
% 12.17/12.37 cnf(matrix-194, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem6(_u20)), v_r) )).
% 12.17/12.37 cnf(matrix-195, 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_p), skolem6(_u20))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u20))))) )).
% 12.17/12.37 cnf(matrix-196, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u21), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u21)))), _u24) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u24) )).
% 12.17/12.37 cnf(matrix-197, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u25) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem7(_u25)), v_r) )).
% 12.17/12.37 cnf(matrix-198, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u25) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem7(_u25))))), _u25) )).
% 12.17/12.37 cnf(matrix-199, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u26), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u26)), _u29) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u29) )).
% 12.17/12.37 cnf(matrix-200, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u30) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem8(_u30)), v_r) )).
% 12.17/12.37 cnf(matrix-201, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), _u30) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem8(_u30))), _u30) )).
% 12.17/12.37 cnf(matrix-202, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u31), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u31)), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) )).
% 12.17/12.37 cnf(matrix-203, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem9), v_r) )).
% 12.17/12.37 cnf(matrix-204, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem9)), c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____)) )).
% 12.17/12.37 cnf(matrix-205, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u33), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u33)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u34)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u34, skolem10) )).
% 12.17/12.37 cnf(matrix-206, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), v_r) )).
% 12.17/12.37 cnf(matrix-207, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))))) )).
% 12.17/12.37 cnf(matrix-208, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u36)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u36), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.37 cnf(matrix-209, plain, ( ~class_RealVector_Oreal__normed__vector(_u37) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, _u38), _u39) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, _u40), _u41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u37, c_Groups_Oplus__class_Oplus(_u37, _u38, _u40)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u39, _u41)) )).
% 12.17/12.37 cnf(matrix-210, plain, ( ~class_RealVector_Oreal__normed__vector(_u42) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u42, c_Groups_Oplus__class_Oplus(_u42, _u43, _u44)), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u42, _u43), c_RealVector_Onorm__class_Onorm(_u42, _u44))) )).
% 12.17/12.37 cnf(matrix-211, plain, ( ~class_Fields_Olinordered__field(_u45) | ~c_Orderings_Oord__class_Oless(_u45, _u46, _u47) | c_Orderings_Oord__class_Oless(_u45, _u46, c_Rings_Oinverse__class_Odivide(_u45, c_Groups_Oplus__class_Oplus(_u45, _u46, _u47), c_Groups_Oplus__class_Oplus(_u45, c_Groups_Oone__class_Oone(_u45), c_Groups_Oone__class_Oone(_u45)))) )).
% 12.17/12.37 cnf(matrix-212, plain, ( ~class_Fields_Olinordered__field(_u48) | ~c_Orderings_Oord__class_Oless(_u48, _u49, _u50) | c_Orderings_Oord__class_Oless(_u48, c_Rings_Oinverse__class_Odivide(_u48, c_Groups_Oplus__class_Oplus(_u48, _u49, _u50), c_Groups_Oplus__class_Oplus(_u48, c_Groups_Oone__class_Oone(_u48), c_Groups_Oone__class_Oone(_u48))), _u50) )).
% 12.17/12.37 cnf(matrix-213, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u51)) )).
% 12.17/12.37 cnf(matrix-214, plain, ( ~class_RealVector_Oreal__normed__vector(_u52) | ( c_RealVector_Onorm__class_Onorm(_u52, c_Groups_Ozero__class_Ozero(_u52)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-215, plain, ( ~class_RealVector_Oreal__normed__vector(_u53) | ( c_RealVector_Onorm__class_Onorm(_u53, _u54) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u54 = c_Groups_Ozero__class_Ozero(_u53)) )).
% 12.17/12.37 cnf(matrix-216, plain, ( ~class_RealVector_Oreal__normed__vector(_u53) | ( _u54 != c_Groups_Ozero__class_Ozero(_u53)) | ( c_RealVector_Onorm__class_Onorm(_u53, _u54) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-217, plain, ( ~class_RealVector_Oreal__normed__field(_u55) | ( c_Rings_Oinverse__class_Odivide(_u55, c_Groups_Ozero__class_Ozero(_u55), _u56) = c_Groups_Ozero__class_Ozero(_u55)) )).
% 12.17/12.37 cnf(matrix-218, plain, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-219, plain, ( ~class_RealVector_Oreal__normed__vector(_u57) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u58 = c_Groups_Ozero__class_Ozero(_u57)) )).
% 12.17/12.37 cnf(matrix-220, plain, ( ~class_RealVector_Oreal__normed__vector(_u57) | ( _u58 != c_Groups_Ozero__class_Ozero(_u57)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u57, _u58), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-221, plain, ( ~class_RealVector_Oreal__normed__vector(_u59) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u59, _u60)) | ( _u60 != c_Groups_Ozero__class_Ozero(_u59)) )).
% 12.17/12.37 cnf(matrix-222, plain, ( ~class_RealVector_Oreal__normed__vector(_u59) | ( _u60 = c_Groups_Ozero__class_Ozero(_u59)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u59, _u60)) )).
% 12.17/12.37 cnf(matrix-223, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u61) | ~c_Orderings_Oord__class_Oless__eq(_u61, _u62, _u63) | ~c_Orderings_Oord__class_Oless__eq(_u61, _u64, c_Groups_Ozero__class_Ozero(_u61)) | c_Orderings_Oord__class_Oless__eq(_u61, c_Rings_Oinverse__class_Odivide(_u61, _u63, _u64), c_Rings_Oinverse__class_Odivide(_u61, _u62, _u64)) )).
% 12.17/12.37 cnf(matrix-224, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u65) | ~c_Orderings_Oord__class_Oless__eq(_u65, _u66, _u67) | ~c_Orderings_Oord__class_Oless__eq(_u65, c_Groups_Ozero__class_Ozero(_u65), _u68) | c_Orderings_Oord__class_Oless__eq(_u65, c_Rings_Oinverse__class_Odivide(_u65, _u66, _u68), c_Rings_Oinverse__class_Odivide(_u65, _u67, _u68)) )).
% 12.17/12.37 cnf(matrix-225, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.37 cnf(matrix-226, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.37 cnf(matrix-227, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.37 cnf(matrix-228, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) | c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.37 cnf(matrix-229, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u70) | ~c_Orderings_Oord__class_Oless__eq(_u69, _u71, c_Groups_Ozero__class_Ozero(_u69)) )).
% 12.17/12.37 cnf(matrix-230, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u69) | c_Orderings_Oord__class_Oless__eq(_u69, c_Rings_Oinverse__class_Odivide(_u69, _u70, _u71), c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, _u70, c_Groups_Ozero__class_Ozero(_u69)) | ~c_Orderings_Oord__class_Oless__eq(_u69, c_Groups_Ozero__class_Ozero(_u69), _u71) )).
% 12.17/12.37 cnf(matrix-231, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.37 cnf(matrix-232, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.37 cnf(matrix-233, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) | c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.37 cnf(matrix-234, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) | c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.37 cnf(matrix-235, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u73) | ~c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), _u74) )).
% 12.17/12.37 cnf(matrix-236, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u72) | c_Orderings_Oord__class_Oless__eq(_u72, c_Groups_Ozero__class_Ozero(_u72), c_Rings_Oinverse__class_Odivide(_u72, _u73, _u74)) | ~c_Orderings_Oord__class_Oless__eq(_u72, _u73, c_Groups_Ozero__class_Ozero(_u72)) | ~c_Orderings_Oord__class_Oless__eq(_u72, _u74, c_Groups_Ozero__class_Ozero(_u72)) )).
% 12.17/12.37 cnf(matrix-237, plain, ( ~class_Groups_Ogroup__add(_u75) | ( c_Groups_Oplus__class_Oplus(_u75, _u76, _u77) != c_Groups_Ozero__class_Ozero(_u75)) | ( _u77 = c_Groups_Ouminus__class_Ouminus(_u75, _u76)) )).
% 12.17/12.37 cnf(matrix-238, plain, ( ~class_Groups_Ogroup__add(_u75) | ( _u77 != c_Groups_Ouminus__class_Ouminus(_u75, _u76)) | ( c_Groups_Oplus__class_Oplus(_u75, _u76, _u77) = c_Groups_Ozero__class_Ozero(_u75)) )).
% 12.17/12.37 cnf(matrix-239, plain, ( ~class_Fields_Olinordered__field(_u78) | ~c_Orderings_Oord__class_Oless(_u78, _u79, _u80) | ~c_Orderings_Oord__class_Oless(_u78, _u81, c_Groups_Ozero__class_Ozero(_u78)) | c_Orderings_Oord__class_Oless(_u78, c_Rings_Oinverse__class_Odivide(_u78, _u80, _u81), c_Rings_Oinverse__class_Odivide(_u78, _u79, _u81)) )).
% 12.17/12.37 cnf(matrix-240, plain, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, _u84) | ~c_Orderings_Oord__class_Oless(_u82, c_Groups_Ozero__class_Ozero(_u82), _u85) | c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u83, _u85), c_Rings_Oinverse__class_Odivide(_u82, _u84, _u85)) )).
% 12.17/12.37 cnf(matrix-241, plain, ( ~class_Fields_Olinordered__field(_u86) | ~c_Orderings_Oord__class_Oless(_u86, _u87, c_Groups_Ozero__class_Ozero(_u86)) | ~c_Orderings_Oord__class_Oless(_u86, _u88, c_Groups_Ozero__class_Ozero(_u86)) | c_Orderings_Oord__class_Oless(_u86, c_Groups_Ozero__class_Ozero(_u86), c_Rings_Oinverse__class_Odivide(_u86, _u87, _u88)) )).
% 12.17/12.37 cnf(matrix-242, plain, ( ~class_Fields_Olinordered__field(_u89) | ~c_Orderings_Oord__class_Oless(_u89, _u90, c_Groups_Ozero__class_Ozero(_u89)) | ~c_Orderings_Oord__class_Oless(_u89, c_Groups_Ozero__class_Ozero(_u89), _u91) | c_Orderings_Oord__class_Oless(_u89, c_Rings_Oinverse__class_Odivide(_u89, _u90, _u91), c_Groups_Ozero__class_Ozero(_u89)) )).
% 12.17/12.37 cnf(matrix-243, plain, ( ~class_Fields_Olinordered__field(_u92) | ~c_Orderings_Oord__class_Oless(_u92, c_Groups_Ozero__class_Ozero(_u92), _u93) | ~c_Orderings_Oord__class_Oless(_u92, _u94, c_Groups_Ozero__class_Ozero(_u92)) | c_Orderings_Oord__class_Oless(_u92, c_Rings_Oinverse__class_Odivide(_u92, _u93, _u94), c_Groups_Ozero__class_Ozero(_u92)) )).
% 12.17/12.37 cnf(matrix-244, plain, ( ~class_Fields_Olinordered__field(_u95) | ~c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), _u96) | ~c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), _u97) | c_Orderings_Oord__class_Oless(_u95, c_Groups_Ozero__class_Ozero(_u95), c_Rings_Oinverse__class_Odivide(_u95, _u96, _u97)) )).
% 12.17/12.37 cnf(matrix-245, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.37 cnf(matrix-246, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.37 cnf(matrix-247, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.37 cnf(matrix-248, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) | c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.37 cnf(matrix-249, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, _u100, c_Groups_Ozero__class_Ozero(_u98)) )).
% 12.17/12.37 cnf(matrix-250, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u98) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u99, _u100), c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, _u99, c_Groups_Ozero__class_Ozero(_u98)) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u100) )).
% 12.17/12.37 cnf(matrix-251, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.37 cnf(matrix-252, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.37 cnf(matrix-253, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) | c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.37 cnf(matrix-254, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) | c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.37 cnf(matrix-255, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u102) | ~c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), _u103) )).
% 12.17/12.37 cnf(matrix-256, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u101) | c_Orderings_Oord__class_Oless(_u101, c_Groups_Ozero__class_Ozero(_u101), c_Rings_Oinverse__class_Odivide(_u101, _u102, _u103)) | ~c_Orderings_Oord__class_Oless(_u101, _u102, c_Groups_Ozero__class_Ozero(_u101)) | ~c_Orderings_Oord__class_Oless(_u101, _u103, c_Groups_Ozero__class_Ozero(_u101)) )).
% 12.17/12.37 cnf(matrix-257, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u106), c_RealDef_Oreal(tc_Nat_Onat, _u108)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u106, _u108) )).
% 12.17/12.37 cnf(matrix-258, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u107, _u109) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u107), c_RealDef_Oreal(tc_Nat_Onat, _u109)) )).
% 12.17/12.37 cnf(matrix-259, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u110, _u111)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u110), c_RealDef_Oreal(tc_Nat_Onat, _u111))) )).
% 12.17/12.37 cnf(matrix-260, plain, ( ~class_RealVector_Oreal__normed__vector(_u112) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u112, _u113)) )).
% 12.17/12.37 cnf(matrix-261, plain, ( ~class_RealVector_Oreal__normed__vector(_u114) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u114, _u115), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-262, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-263, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u118, _u120)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u118, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u120) )).
% 12.17/12.37 cnf(matrix-264, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u118, _u120)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u118) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u120, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-265, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u119, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u119) )).
% 12.17/12.37 cnf(matrix-266, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u119, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u121, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-267, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u121) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u119) )).
% 12.17/12.37 cnf(matrix-268, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u119, _u121)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u121) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u121, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-269, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u122), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-270, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u125, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u127)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u125 = _u127) )).
% 12.17/12.37 cnf(matrix-271, plain, ( ( _u126 != _u128) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u126, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u128)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-272, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u131, _u133) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u133 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u131)) )).
% 12.17/12.37 cnf(matrix-273, plain, ( ( _u134 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u132)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u132, _u134) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-274, plain, ( ~class_Fields_Olinordered__field(_u135) | ~c_Orderings_Oord__class_Oless__eq(_u135, _u136, c_Groups_Ozero__class_Ozero(_u135)) | ~c_Orderings_Oord__class_Oless(_u135, _u137, c_Groups_Ozero__class_Ozero(_u135)) | c_Orderings_Oord__class_Oless__eq(_u135, c_Groups_Ozero__class_Ozero(_u135), c_Rings_Oinverse__class_Odivide(_u135, _u136, _u137)) )).
% 12.17/12.37 cnf(matrix-275, plain, ( ~class_Fields_Olinordered__field(_u138) | ~c_Orderings_Oord__class_Oless__eq(_u138, _u139, c_Groups_Ozero__class_Ozero(_u138)) | ~c_Orderings_Oord__class_Oless(_u138, c_Groups_Ozero__class_Ozero(_u138), _u140) | c_Orderings_Oord__class_Oless__eq(_u138, c_Rings_Oinverse__class_Odivide(_u138, _u139, _u140), c_Groups_Ozero__class_Ozero(_u138)) )).
% 12.17/12.37 cnf(matrix-276, plain, ( ~class_Fields_Olinordered__field(_u141) | ~c_Orderings_Oord__class_Oless__eq(_u141, c_Groups_Ozero__class_Ozero(_u141), _u142) | ~c_Orderings_Oord__class_Oless__eq(_u141, _u142, _u143) | ~c_Orderings_Oord__class_Oless(_u141, c_Groups_Ozero__class_Ozero(_u141), _u144) | ~c_Orderings_Oord__class_Oless__eq(_u141, _u144, _u145) | c_Orderings_Oord__class_Oless__eq(_u141, c_Rings_Oinverse__class_Odivide(_u141, _u142, _u145), c_Rings_Oinverse__class_Odivide(_u141, _u143, _u144)) )).
% 12.17/12.37 cnf(matrix-277, plain, ( ~class_Fields_Olinordered__field(_u146) | ~c_Orderings_Oord__class_Oless__eq(_u146, c_Groups_Ozero__class_Ozero(_u146), _u147) | ~c_Orderings_Oord__class_Oless(_u146, _u147, _u148) | ~c_Orderings_Oord__class_Oless(_u146, c_Groups_Ozero__class_Ozero(_u146), _u149) | ~c_Orderings_Oord__class_Oless__eq(_u146, _u149, _u150) | c_Orderings_Oord__class_Oless(_u146, c_Rings_Oinverse__class_Odivide(_u146, _u147, _u150), c_Rings_Oinverse__class_Odivide(_u146, _u148, _u149)) )).
% 12.17/12.37 cnf(matrix-278, plain, ( ~class_Fields_Olinordered__field(_u151) | ~c_Orderings_Oord__class_Oless(_u151, c_Groups_Ozero__class_Ozero(_u151), _u152) | ~c_Orderings_Oord__class_Oless__eq(_u151, _u152, _u153) | ~c_Orderings_Oord__class_Oless(_u151, c_Groups_Ozero__class_Ozero(_u151), _u154) | ~c_Orderings_Oord__class_Oless(_u151, _u154, _u155) | c_Orderings_Oord__class_Oless(_u151, c_Rings_Oinverse__class_Odivide(_u151, _u152, _u155), c_Rings_Oinverse__class_Odivide(_u151, _u153, _u154)) )).
% 12.17/12.37 cnf(matrix-279, plain, ( ~class_Fields_Olinordered__field(_u156) | ~c_Orderings_Oord__class_Oless__eq(_u156, c_Groups_Ozero__class_Ozero(_u156), _u157) | ~c_Orderings_Oord__class_Oless(_u156, _u158, c_Groups_Ozero__class_Ozero(_u156)) | c_Orderings_Oord__class_Oless__eq(_u156, c_Rings_Oinverse__class_Odivide(_u156, _u157, _u158), c_Groups_Ozero__class_Ozero(_u156)) )).
% 12.17/12.37 cnf(matrix-280, plain, ( ~class_Fields_Olinordered__field(_u159) | ~c_Orderings_Oord__class_Oless__eq(_u159, c_Groups_Ozero__class_Ozero(_u159), _u160) | ~c_Orderings_Oord__class_Oless(_u159, c_Groups_Ozero__class_Ozero(_u159), _u161) | c_Orderings_Oord__class_Oless__eq(_u159, c_Groups_Ozero__class_Ozero(_u159), c_Rings_Oinverse__class_Odivide(_u159, _u160, _u161)) )).
% 12.17/12.37 cnf(matrix-281, plain, ( ~class_RealVector_Oreal__normed__field(_u162) | ( _u163 = c_Groups_Ozero__class_Ozero(_u162)) | ( c_RealVector_Onorm__class_Onorm(_u162, c_Rings_Oinverse__class_Odivide(_u162, _u164, _u163)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u162, _u164), c_RealVector_Onorm__class_Onorm(_u162, _u163))) )).
% 12.17/12.37 cnf(matrix-282, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u165))) )).
% 12.17/12.37 cnf(matrix-283, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u168, _u170), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u170, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u168)) )).
% 12.17/12.37 cnf(matrix-284, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u171, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u169)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u169, _u171), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-285, 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, _u174, _u176)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u174), _u176) )).
% 12.17/12.37 cnf(matrix-286, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u175), _u177) | 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, _u175, _u177)) )).
% 12.17/12.37 cnf(matrix-287, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u180, _u182), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u182, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u180)) )).
% 12.17/12.37 cnf(matrix-288, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u183, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u181)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u181, _u183), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-289, 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, _u186, _u188)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u186), _u188) )).
% 12.17/12.37 cnf(matrix-290, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u187), _u189) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u187, _u189)) )).
% 12.17/12.37 cnf(matrix-291, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u192, _u194) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u192), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u194)) )).
% 12.17/12.37 cnf(matrix-292, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u193), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), c_RealDef_Oreal(tc_Nat_Onat, _u195)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u193, _u195) )).
% 12.17/12.37 cnf(matrix-293, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u196), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, _u196, _u197)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u197))) )).
% 12.17/12.37 cnf(matrix-294, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u198, _u199) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u199, _u198) | ( _u198 = _u199) )).
% 12.17/12.37 cnf(matrix-295, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u200, _u201) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u201, _u202) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u200, _u202) )).
% 12.17/12.37 cnf(matrix-296, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u203, _u204) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u204, _u203) )).
% 12.17/12.37 cnf(matrix-297, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u205, _u205) )).
% 12.17/12.37 cnf(matrix-298, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u208) != c_RealDef_Oreal(tc_Nat_Onat, _u210)) | ( _u208 = _u210) )).
% 12.17/12.37 cnf(matrix-299, plain, ( ( _u209 != _u211) | ( c_RealDef_Oreal(tc_Nat_Onat, _u209) = c_RealDef_Oreal(tc_Nat_Onat, _u211)) )).
% 12.17/12.37 cnf(matrix-300, plain, ( ~class_RealVector_Oreal__normed__field(_u212) | ( c_Rings_Oinverse__class_Odivide(_u212, c_Groups_Oplus__class_Oplus(_u212, _u213, _u214), _u215) = c_Groups_Oplus__class_Oplus(_u212, c_Rings_Oinverse__class_Odivide(_u212, _u213, _u215), c_Rings_Oinverse__class_Odivide(_u212, _u214, _u215))) )).
% 12.17/12.37 cnf(matrix-301, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u218, _u220) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u218, _u220) | ( _u218 = _u220) )).
% 12.17/12.37 cnf(matrix-302, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u219, _u221) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u219, _u221) )).
% 12.17/12.37 cnf(matrix-303, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u219, _u221) | ( _u219 != _u221) )).
% 12.17/12.37 cnf(matrix-304, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u224, _u226) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u224, _u226) )).
% 12.17/12.37 cnf(matrix-305, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u224, _u226) | ( _u224 != _u226) )).
% 12.17/12.37 cnf(matrix-306, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u225, _u227) | ( _u225 = _u227) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u225, _u227) )).
% 12.17/12.37 cnf(matrix-307, plain, ( ~class_Fields_Ofield__inverse__zero(_u228) | ( c_Rings_Oinverse__class_Odivide(_u228, c_Groups_Ouminus__class_Ouminus(_u228, _u229), c_Groups_Ouminus__class_Ouminus(_u228, _u230)) = c_Rings_Oinverse__class_Odivide(_u228, _u229, _u230)) )).
% 12.17/12.37 cnf(matrix-308, plain, ( ~class_RealVector_Oreal__normed__field(_u231) | ( c_Rings_Oinverse__class_Odivide(_u231, c_Groups_Ouminus__class_Ouminus(_u231, _u232), _u233) = c_Groups_Ouminus__class_Ouminus(_u231, c_Rings_Oinverse__class_Odivide(_u231, _u232, _u233))) )).
% 12.17/12.37 cnf(matrix-309, plain, ( ~class_Fields_Ofield__inverse__zero(_u234) | ( c_Groups_Ouminus__class_Ouminus(_u234, c_Rings_Oinverse__class_Odivide(_u234, _u235, _u236)) = c_Rings_Oinverse__class_Odivide(_u234, _u235, c_Groups_Ouminus__class_Ouminus(_u234, _u236))) )).
% 12.17/12.37 cnf(matrix-310, plain, ( ~class_RealVector_Oreal__normed__vector(_u237) | ( c_RealVector_Onorm__class_Onorm(_u237, c_Groups_Ouminus__class_Ouminus(_u237, _u238)) = c_RealVector_Onorm__class_Onorm(_u237, _u238)) )).
% 12.17/12.37 cnf(matrix-311, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u239, _u240) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u241, _u239), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u241, _u240)) )).
% 12.17/12.37 cnf(matrix-312, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u242) | ( c_RealVector_Onorm__class_Onorm(_u242, c_Groups_Oone__class_Oone(_u242)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-313, plain, ( ~class_Fields_Ofield__inverse__zero(_u243) | ~class_RealVector_Oreal__normed__field(_u243) | ( c_RealVector_Onorm__class_Onorm(_u243, c_Rings_Oinverse__class_Odivide(_u243, _u244, _u245)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u243, _u244), c_RealVector_Onorm__class_Onorm(_u243, _u245))) )).
% 12.17/12.37 cnf(matrix-314, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_r) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u246), v_r) | 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_p), skolem11)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u246))) )).
% 12.17/12.37 cnf(matrix-315, plain, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u249) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem12(_u257, _u256, _u249))), _u249) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, _u250)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem13(_u257, _u256)))) )).
% 12.17/12.37 cnf(matrix-316, plain, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem14(_u257, _u256, _u253))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u253))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem15(_u257, _u256)) )).
% 12.17/12.37 cnf(matrix-317, plain, ( ~class_RealVector_Oreal__normed__vector(_u256) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, skolem14(_u257, _u256, _u253))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u253))) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u256, hAPP(_u257, _u254)), skolem15(_u257, _u256)) )).
% 12.17/12.37 cnf(matrix-318, plain, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u259) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem16(_u267, _u266, _u259))), _u259) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, _u260)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem17(_u267, _u266)))) )).
% 12.17/12.37 cnf(matrix-319, plain, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem18(_u267, _u266, _u263))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u263))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem19(_u267, _u266)) )).
% 12.17/12.37 cnf(matrix-320, plain, ( ~class_RealVector_Oreal__normed__vector(_u266) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, skolem18(_u267, _u266, _u263))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u263))) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u266, hAPP(_u267, _u264)), skolem19(_u267, _u266)) )).
% 12.17/12.37 cnf(matrix-321, plain, ( ~class_Rings_Olinordered__semidom(_u268) | c_Orderings_Oord__class_Oless(_u268, c_Groups_Ozero__class_Ozero(_u268), c_Groups_Oplus__class_Oplus(_u268, c_Groups_Oone__class_Oone(_u268), c_Groups_Oone__class_Oone(_u268))) )).
% 12.17/12.37 cnf(matrix-322, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u269) | ~c_Orderings_Oord__class_Oless__eq(_u269, _u270, c_Groups_Ozero__class_Ozero(_u269)) | ~c_Orderings_Oord__class_Oless(_u269, _u271, c_Groups_Ozero__class_Ozero(_u269)) | c_Orderings_Oord__class_Oless(_u269, c_Groups_Oplus__class_Oplus(_u269, _u270, _u271), c_Groups_Ozero__class_Ozero(_u269)) )).
% 12.17/12.37 cnf(matrix-323, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u272) | ~c_Orderings_Oord__class_Oless(_u272, _u273, c_Groups_Ozero__class_Ozero(_u272)) | ~c_Orderings_Oord__class_Oless__eq(_u272, _u274, c_Groups_Ozero__class_Ozero(_u272)) | c_Orderings_Oord__class_Oless(_u272, c_Groups_Oplus__class_Oplus(_u272, _u273, _u274), c_Groups_Ozero__class_Ozero(_u272)) )).
% 12.17/12.37 cnf(matrix-324, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u275) | ~c_Orderings_Oord__class_Oless__eq(_u275, c_Groups_Ozero__class_Ozero(_u275), _u276) | ~c_Orderings_Oord__class_Oless(_u275, _u277, _u278) | c_Orderings_Oord__class_Oless(_u275, _u277, c_Groups_Oplus__class_Oplus(_u275, _u276, _u278)) )).
% 12.17/12.37 cnf(matrix-325, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u279) | ~c_Orderings_Oord__class_Oless(_u279, c_Groups_Ozero__class_Ozero(_u279), _u280) | ~c_Orderings_Oord__class_Oless__eq(_u279, _u281, _u282) | c_Orderings_Oord__class_Oless(_u279, _u281, c_Groups_Oplus__class_Oplus(_u279, _u280, _u282)) )).
% 12.17/12.37 cnf(matrix-326, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u283) | ~c_Orderings_Oord__class_Oless__eq(_u283, c_Groups_Ozero__class_Ozero(_u283), _u284) | ~c_Orderings_Oord__class_Oless(_u283, c_Groups_Ozero__class_Ozero(_u283), _u285) | c_Orderings_Oord__class_Oless(_u283, c_Groups_Ozero__class_Ozero(_u283), c_Groups_Oplus__class_Oplus(_u283, _u284, _u285)) )).
% 12.17/12.37 cnf(matrix-327, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u286) | ~c_Orderings_Oord__class_Oless(_u286, c_Groups_Ozero__class_Ozero(_u286), _u287) | ~c_Orderings_Oord__class_Oless__eq(_u286, c_Groups_Ozero__class_Ozero(_u286), _u288) | c_Orderings_Oord__class_Oless(_u286, c_Groups_Ozero__class_Ozero(_u286), c_Groups_Oplus__class_Oplus(_u286, _u287, _u288)) )).
% 12.17/12.37 cnf(matrix-328, 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, _u289)), c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u289)) )).
% 12.17/12.37 cnf(matrix-329, plain, ( ~class_Rings_Odivision__ring(_u290) | ( _u291 = c_Groups_Ozero__class_Ozero(_u290)) | ( c_Rings_Oinverse__class_Odivide(_u290, c_Groups_Ouminus__class_Ouminus(_u290, _u292), c_Groups_Ouminus__class_Ouminus(_u290, _u291)) = c_Rings_Oinverse__class_Odivide(_u290, _u292, _u291)) )).
% 12.17/12.37 cnf(matrix-330, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u295), c_RealDef_Oreal(tc_Nat_Onat, _u297)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u295, _u297) )).
% 12.17/12.37 cnf(matrix-331, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u296, _u298) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u296), c_RealDef_Oreal(tc_Nat_Onat, _u298)) )).
% 12.17/12.37 cnf(matrix-332, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, _u300) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(matrix-333, plain, ( ( _u301 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_RealDef_Oreal(tc_Nat_Onat, _u301) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-334, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-335, plain, ( ~class_Groups_Ozero(_u302) | ( c_Groups_Ozero__class_Ozero(_u302) != _u303) | ( _u303 = c_Groups_Ozero__class_Ozero(_u302)) )).
% 12.17/12.37 cnf(matrix-336, plain, ( ~class_Groups_Ozero(_u302) | ( _u303 != c_Groups_Ozero__class_Ozero(_u302)) | ( c_Groups_Ozero__class_Ozero(_u302) = _u303) )).
% 12.17/12.37 cnf(matrix-337, plain, ( ~class_Rings_Olinordered__idom(_u304) | ( _u305 = _u306) | c_Orderings_Oord__class_Oless(_u304, _u305, _u306) | c_Orderings_Oord__class_Oless(_u304, _u306, _u305) )).
% 12.17/12.37 cnf(matrix-338, plain, ( ~class_Groups_Oab__semigroup__add(_u307) | ( c_Groups_Oplus__class_Oplus(_u307, c_Groups_Oplus__class_Oplus(_u307, _u308, _u309), _u310) = c_Groups_Oplus__class_Oplus(_u307, _u308, c_Groups_Oplus__class_Oplus(_u307, _u309, _u310))) )).
% 12.17/12.37 cnf(matrix-339, plain, ( ~class_Groups_Ocancel__semigroup__add(_u311) | ( c_Groups_Oplus__class_Oplus(_u311, _u312, _u313) != c_Groups_Oplus__class_Oplus(_u311, _u312, _u314)) | ( _u313 = _u314) )).
% 12.17/12.37 cnf(matrix-340, plain, ( ~class_Groups_Ocancel__semigroup__add(_u311) | ( _u313 != _u314) | ( c_Groups_Oplus__class_Oplus(_u311, _u312, _u313) = c_Groups_Oplus__class_Oplus(_u311, _u312, _u314)) )).
% 12.17/12.37 cnf(matrix-341, plain, ( ~class_Groups_Ocancel__semigroup__add(_u315) | ( c_Groups_Oplus__class_Oplus(_u315, _u316, _u317) != c_Groups_Oplus__class_Oplus(_u315, _u318, _u317)) | ( _u316 = _u318) )).
% 12.17/12.37 cnf(matrix-342, plain, ( ~class_Groups_Ocancel__semigroup__add(_u315) | ( _u316 != _u318) | ( c_Groups_Oplus__class_Oplus(_u315, _u316, _u317) = c_Groups_Oplus__class_Oplus(_u315, _u318, _u317)) )).
% 12.17/12.37 cnf(matrix-343, plain, ( ~class_Groups_Ocancel__semigroup__add(_u319) | ( c_Groups_Oplus__class_Oplus(_u319, _u320, _u321) != c_Groups_Oplus__class_Oplus(_u319, _u320, _u322)) | ( _u321 = _u322) )).
% 12.17/12.37 cnf(matrix-344, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u323) | ( c_Groups_Oplus__class_Oplus(_u323, _u324, _u325) != c_Groups_Oplus__class_Oplus(_u323, _u324, _u326)) | ( _u325 = _u326) )).
% 12.17/12.37 cnf(matrix-345, plain, ( ~class_Groups_Ocancel__semigroup__add(_u327) | ( c_Groups_Oplus__class_Oplus(_u327, _u328, _u329) != c_Groups_Oplus__class_Oplus(_u327, _u330, _u329)) | ( _u328 = _u330) )).
% 12.17/12.37 cnf(matrix-346, plain, ( ~class_Groups_Oone(_u331) | ( c_Groups_Oone__class_Oone(_u331) != _u332) | ( _u332 = c_Groups_Oone__class_Oone(_u331)) )).
% 12.17/12.37 cnf(matrix-347, plain, ( ~class_Groups_Oone(_u331) | ( _u332 != c_Groups_Oone__class_Oone(_u331)) | ( c_Groups_Oone__class_Oone(_u331) = _u332) )).
% 12.17/12.37 cnf(matrix-348, plain, ( ~class_Groups_Ogroup__add(_u333) | ( c_Groups_Ouminus__class_Ouminus(_u333, c_Groups_Ouminus__class_Ouminus(_u333, _u334)) = _u334) )).
% 12.17/12.37 cnf(matrix-349, plain, ( ~class_Groups_Ogroup__add(_u335) | ( _u336 != c_Groups_Ouminus__class_Ouminus(_u335, _u337)) | ( _u337 = c_Groups_Ouminus__class_Ouminus(_u335, _u336)) )).
% 12.17/12.37 cnf(matrix-350, plain, ( ~class_Groups_Ogroup__add(_u335) | ( _u337 != c_Groups_Ouminus__class_Ouminus(_u335, _u336)) | ( _u336 = c_Groups_Ouminus__class_Ouminus(_u335, _u337)) )).
% 12.17/12.37 cnf(matrix-351, plain, ( ~class_Groups_Ogroup__add(_u338) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u339) != _u340) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u340) = _u339) )).
% 12.17/12.37 cnf(matrix-352, plain, ( ~class_Groups_Ogroup__add(_u338) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u340) != _u339) | ( c_Groups_Ouminus__class_Ouminus(_u338, _u339) = _u340) )).
% 12.17/12.37 cnf(matrix-353, plain, ( ~class_Groups_Ogroup__add(_u341) | ( c_Groups_Ouminus__class_Ouminus(_u341, _u342) != c_Groups_Ouminus__class_Ouminus(_u341, _u343)) | ( _u342 = _u343) )).
% 12.17/12.37 cnf(matrix-354, plain, ( ~class_Groups_Ogroup__add(_u341) | ( _u342 != _u343) | ( c_Groups_Ouminus__class_Ouminus(_u341, _u342) = c_Groups_Ouminus__class_Ouminus(_u341, _u343)) )).
% 12.17/12.37 cnf(matrix-355, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u345), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u345 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.37 cnf(matrix-356, plain, ( ( _u346 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u346), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-357, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u348)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u348) )).
% 12.17/12.37 cnf(matrix-358, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u349) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u349)) )).
% 12.17/12.37 cnf(matrix-359, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.37 cnf(matrix-360, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u352, _u354) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u352), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u354), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.37 cnf(matrix-361, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u353), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u355), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u353, _u355) )).
% 12.17/12.37 cnf(matrix-362, plain, ( ~class_Groups_Omonoid__add(_u356) | ( c_Groups_Oplus__class_Oplus(_u356, c_Groups_Ozero__class_Ozero(_u356), _u357) = _u357) )).
% 12.17/12.37 cnf(matrix-363, plain, ( ~class_Groups_Ocomm__monoid__add(_u358) | ( c_Groups_Oplus__class_Oplus(_u358, c_Groups_Ozero__class_Ozero(_u358), _u359) = _u359) )).
% 12.17/12.37 cnf(matrix-364, plain, ( ~class_Groups_Olinordered__ab__group__add(_u360) | ( c_Groups_Ozero__class_Ozero(_u360) != c_Groups_Oplus__class_Oplus(_u360, _u361, _u361)) | ( _u361 = c_Groups_Ozero__class_Ozero(_u360)) )).
% 12.17/12.37 cnf(matrix-365, plain, ( ~class_Groups_Olinordered__ab__group__add(_u360) | ( _u361 != c_Groups_Ozero__class_Ozero(_u360)) | ( c_Groups_Ozero__class_Ozero(_u360) = c_Groups_Oplus__class_Oplus(_u360, _u361, _u361)) )).
% 12.17/12.37 cnf(matrix-366, plain, ( ~class_Groups_Omonoid__add(_u362) | ( c_Groups_Oplus__class_Oplus(_u362, _u363, c_Groups_Ozero__class_Ozero(_u362)) = _u363) )).
% 12.17/12.37 cnf(matrix-367, plain, ( ~class_Groups_Ocomm__monoid__add(_u364) | ( c_Groups_Oplus__class_Oplus(_u364, _u365, c_Groups_Ozero__class_Ozero(_u364)) = _u365) )).
% 12.17/12.37 cnf(matrix-368, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Oplus__class_Oplus(_u366, _u367, _u368), c_Groups_Oplus__class_Oplus(_u366, _u369, _u368)) | c_Orderings_Oord__class_Oless__eq(_u366, _u367, _u369) )).
% 12.17/12.37 cnf(matrix-369, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, _u367, _u369) | c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Oplus__class_Oplus(_u366, _u367, _u368), c_Groups_Oplus__class_Oplus(_u366, _u369, _u368)) )).
% 12.17/12.37 cnf(matrix-370, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u370) | ~c_Orderings_Oord__class_Oless__eq(_u370, c_Groups_Oplus__class_Oplus(_u370, _u371, _u372), c_Groups_Oplus__class_Oplus(_u370, _u371, _u373)) | c_Orderings_Oord__class_Oless__eq(_u370, _u372, _u373) )).
% 12.17/12.37 cnf(matrix-371, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u370) | ~c_Orderings_Oord__class_Oless__eq(_u370, _u372, _u373) | c_Orderings_Oord__class_Oless__eq(_u370, c_Groups_Oplus__class_Oplus(_u370, _u371, _u372), c_Groups_Oplus__class_Oplus(_u370, _u371, _u373)) )).
% 12.17/12.37 cnf(matrix-372, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u374) | ~c_Orderings_Oord__class_Oless__eq(_u374, _u375, _u376) | c_Orderings_Oord__class_Oless__eq(_u374, c_Groups_Oplus__class_Oplus(_u374, _u375, _u377), c_Groups_Oplus__class_Oplus(_u374, _u376, _u377)) )).
% 12.17/12.37 cnf(matrix-373, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u379, _u380) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Oplus__class_Oplus(_u378, _u381, _u379), c_Groups_Oplus__class_Oplus(_u378, _u381, _u380)) )).
% 12.17/12.37 cnf(matrix-374, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u382) | ~c_Orderings_Oord__class_Oless__eq(_u382, _u383, _u384) | ~c_Orderings_Oord__class_Oless__eq(_u382, _u385, _u386) | c_Orderings_Oord__class_Oless__eq(_u382, c_Groups_Oplus__class_Oplus(_u382, _u383, _u385), c_Groups_Oplus__class_Oplus(_u382, _u384, _u386)) )).
% 12.17/12.37 cnf(matrix-375, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u387) | ~c_Orderings_Oord__class_Oless__eq(_u387, c_Groups_Oplus__class_Oplus(_u387, _u388, _u389), c_Groups_Oplus__class_Oplus(_u387, _u390, _u389)) | c_Orderings_Oord__class_Oless__eq(_u387, _u388, _u390) )).
% 12.17/12.37 cnf(matrix-376, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u391) | ~c_Orderings_Oord__class_Oless__eq(_u391, c_Groups_Oplus__class_Oplus(_u391, _u392, _u393), c_Groups_Oplus__class_Oplus(_u391, _u392, _u394)) | c_Orderings_Oord__class_Oless__eq(_u391, _u393, _u394) )).
% 12.17/12.37 cnf(matrix-377, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u395) | ~c_Orderings_Oord__class_Oless(_u395, c_Groups_Oplus__class_Oplus(_u395, _u396, _u397), c_Groups_Oplus__class_Oplus(_u395, _u398, _u397)) | c_Orderings_Oord__class_Oless(_u395, _u396, _u398) )).
% 12.17/12.37 cnf(matrix-378, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u395) | ~c_Orderings_Oord__class_Oless(_u395, _u396, _u398) | c_Orderings_Oord__class_Oless(_u395, c_Groups_Oplus__class_Oplus(_u395, _u396, _u397), c_Groups_Oplus__class_Oplus(_u395, _u398, _u397)) )).
% 12.17/12.37 cnf(matrix-379, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u399) | ~c_Orderings_Oord__class_Oless(_u399, c_Groups_Oplus__class_Oplus(_u399, _u400, _u401), c_Groups_Oplus__class_Oplus(_u399, _u400, _u402)) | c_Orderings_Oord__class_Oless(_u399, _u401, _u402) )).
% 12.17/12.37 cnf(matrix-380, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u399) | ~c_Orderings_Oord__class_Oless(_u399, _u401, _u402) | c_Orderings_Oord__class_Oless(_u399, c_Groups_Oplus__class_Oplus(_u399, _u400, _u401), c_Groups_Oplus__class_Oplus(_u399, _u400, _u402)) )).
% 12.17/12.37 cnf(matrix-381, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u403) | ~c_Orderings_Oord__class_Oless(_u403, _u404, _u405) | c_Orderings_Oord__class_Oless(_u403, c_Groups_Oplus__class_Oplus(_u403, _u404, _u406), c_Groups_Oplus__class_Oplus(_u403, _u405, _u406)) )).
% 12.17/12.37 cnf(matrix-382, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u407) | ~c_Orderings_Oord__class_Oless(_u407, _u408, _u409) | c_Orderings_Oord__class_Oless(_u407, c_Groups_Oplus__class_Oplus(_u407, _u410, _u408), c_Groups_Oplus__class_Oplus(_u407, _u410, _u409)) )).
% 12.17/12.37 cnf(matrix-383, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u411) | ~c_Orderings_Oord__class_Oless(_u411, _u412, _u413) | ~c_Orderings_Oord__class_Oless(_u411, _u414, _u415) | c_Orderings_Oord__class_Oless(_u411, c_Groups_Oplus__class_Oplus(_u411, _u412, _u414), c_Groups_Oplus__class_Oplus(_u411, _u413, _u415)) )).
% 12.17/12.37 cnf(matrix-384, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u416) | ~c_Orderings_Oord__class_Oless(_u416, c_Groups_Oplus__class_Oplus(_u416, _u417, _u418), c_Groups_Oplus__class_Oplus(_u416, _u419, _u418)) | c_Orderings_Oord__class_Oless(_u416, _u417, _u419) )).
% 12.17/12.37 cnf(matrix-385, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u420) | ~c_Orderings_Oord__class_Oless(_u420, c_Groups_Oplus__class_Oplus(_u420, _u421, _u422), c_Groups_Oplus__class_Oplus(_u420, _u421, _u423)) | c_Orderings_Oord__class_Oless(_u420, _u422, _u423) )).
% 12.17/12.37 cnf(matrix-386, plain, ( ~class_Rings_Ozero__neq__one(_u424) | ( c_Groups_Oone__class_Oone(_u424) != c_Groups_Ozero__class_Ozero(_u424)) )).
% 12.17/12.37 cnf(matrix-387, plain, ( ~class_Rings_Ozero__neq__one(_u425) | ( c_Groups_Ozero__class_Ozero(_u425) != c_Groups_Oone__class_Oone(_u425)) )).
% 12.17/12.37 cnf(matrix-388, plain, ( ~class_Groups_Ogroup__add(_u426) | ( c_Groups_Ouminus__class_Ouminus(_u426, c_Groups_Ozero__class_Ozero(_u426)) = c_Groups_Ozero__class_Ozero(_u426)) )).
% 12.17/12.37 cnf(matrix-389, plain, ( ~class_Groups_Ogroup__add(_u427) | ( c_Groups_Ozero__class_Ozero(_u427) != c_Groups_Ouminus__class_Ouminus(_u427, _u428)) | ( c_Groups_Ozero__class_Ozero(_u427) = _u428) )).
% 12.17/12.37 cnf(matrix-390, plain, ( ~class_Groups_Ogroup__add(_u427) | ( c_Groups_Ozero__class_Ozero(_u427) != _u428) | ( c_Groups_Ozero__class_Ozero(_u427) = c_Groups_Ouminus__class_Ouminus(_u427, _u428)) )).
% 12.17/12.37 cnf(matrix-391, plain, ( ~class_Groups_Olinordered__ab__group__add(_u429) | ( _u430 != c_Groups_Ouminus__class_Ouminus(_u429, _u430)) | ( _u430 = c_Groups_Ozero__class_Ozero(_u429)) )).
% 12.17/12.37 cnf(matrix-392, plain, ( ~class_Groups_Olinordered__ab__group__add(_u429) | ( _u430 != c_Groups_Ozero__class_Ozero(_u429)) | ( _u430 = c_Groups_Ouminus__class_Ouminus(_u429, _u430)) )).
% 12.17/12.37 cnf(matrix-393, plain, ( ~class_Groups_Ogroup__add(_u431) | ( c_Groups_Ouminus__class_Ouminus(_u431, _u432) != c_Groups_Ozero__class_Ozero(_u431)) | ( _u432 = c_Groups_Ozero__class_Ozero(_u431)) )).
% 12.17/12.37 cnf(matrix-394, plain, ( ~class_Groups_Ogroup__add(_u431) | ( _u432 != c_Groups_Ozero__class_Ozero(_u431)) | ( c_Groups_Ouminus__class_Ouminus(_u431, _u432) = c_Groups_Ozero__class_Ozero(_u431)) )).
% 12.17/12.37 cnf(matrix-395, plain, ( ~class_Groups_Olinordered__ab__group__add(_u433) | ( c_Groups_Ouminus__class_Ouminus(_u433, _u434) != _u434) | ( _u434 = c_Groups_Ozero__class_Ozero(_u433)) )).
% 12.17/12.37 cnf(matrix-396, plain, ( ~class_Groups_Olinordered__ab__group__add(_u433) | ( _u434 != c_Groups_Ozero__class_Ozero(_u433)) | ( c_Groups_Ouminus__class_Ouminus(_u433, _u434) = _u434) )).
% 12.17/12.37 cnf(matrix-397, plain, ( ~class_Groups_Oordered__ab__group__add(_u435) | ~c_Orderings_Oord__class_Oless__eq(_u435, _u436, c_Groups_Ouminus__class_Ouminus(_u435, _u437)) | c_Orderings_Oord__class_Oless__eq(_u435, _u437, c_Groups_Ouminus__class_Ouminus(_u435, _u436)) )).
% 12.17/12.37 cnf(matrix-398, plain, ( ~class_Groups_Oordered__ab__group__add(_u435) | ~c_Orderings_Oord__class_Oless__eq(_u435, _u437, c_Groups_Ouminus__class_Ouminus(_u435, _u436)) | c_Orderings_Oord__class_Oless__eq(_u435, _u436, c_Groups_Ouminus__class_Ouminus(_u435, _u437)) )).
% 12.17/12.37 cnf(matrix-399, plain, ( ~class_Groups_Oordered__ab__group__add(_u438) | ~c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u439), _u440) | c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u440), _u439) )).
% 12.17/12.37 cnf(matrix-400, plain, ( ~class_Groups_Oordered__ab__group__add(_u438) | ~c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u440), _u439) | c_Orderings_Oord__class_Oless__eq(_u438, c_Groups_Ouminus__class_Ouminus(_u438, _u439), _u440) )).
% 12.17/12.37 cnf(matrix-401, plain, ( ~class_Groups_Oordered__ab__group__add(_u441) | ~c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ouminus__class_Ouminus(_u441, _u442), c_Groups_Ouminus__class_Ouminus(_u441, _u443)) | c_Orderings_Oord__class_Oless__eq(_u441, _u443, _u442) )).
% 12.17/12.37 cnf(matrix-402, plain, ( ~class_Groups_Oordered__ab__group__add(_u441) | ~c_Orderings_Oord__class_Oless__eq(_u441, _u443, _u442) | c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ouminus__class_Ouminus(_u441, _u442), c_Groups_Ouminus__class_Ouminus(_u441, _u443)) )).
% 12.17/12.37 cnf(matrix-403, plain, ( ~class_Groups_Oordered__ab__group__add(_u444) | ~c_Orderings_Oord__class_Oless__eq(_u444, _u445, _u446) | c_Orderings_Oord__class_Oless__eq(_u444, c_Groups_Ouminus__class_Ouminus(_u444, _u446), c_Groups_Ouminus__class_Ouminus(_u444, _u445)) )).
% 12.17/12.37 cnf(matrix-404, plain, ( ~class_Groups_Oordered__ab__group__add(_u447) | ~c_Orderings_Oord__class_Oless(_u447, _u448, c_Groups_Ouminus__class_Ouminus(_u447, _u449)) | c_Orderings_Oord__class_Oless(_u447, _u449, c_Groups_Ouminus__class_Ouminus(_u447, _u448)) )).
% 12.17/12.37 cnf(matrix-405, plain, ( ~class_Groups_Oordered__ab__group__add(_u447) | ~c_Orderings_Oord__class_Oless(_u447, _u449, c_Groups_Ouminus__class_Ouminus(_u447, _u448)) | c_Orderings_Oord__class_Oless(_u447, _u448, c_Groups_Ouminus__class_Ouminus(_u447, _u449)) )).
% 12.17/12.37 cnf(matrix-406, plain, ( ~class_Groups_Oordered__ab__group__add(_u450) | ~c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u451), _u452) | c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u452), _u451) )).
% 12.17/12.37 cnf(matrix-407, plain, ( ~class_Groups_Oordered__ab__group__add(_u450) | ~c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u452), _u451) | c_Orderings_Oord__class_Oless(_u450, c_Groups_Ouminus__class_Ouminus(_u450, _u451), _u452) )).
% 12.17/12.37 cnf(matrix-408, plain, ( ~class_Groups_Oordered__ab__group__add(_u453) | ~c_Orderings_Oord__class_Oless(_u453, c_Groups_Ouminus__class_Ouminus(_u453, _u454), c_Groups_Ouminus__class_Ouminus(_u453, _u455)) | c_Orderings_Oord__class_Oless(_u453, _u455, _u454) )).
% 12.17/12.37 cnf(matrix-409, plain, ( ~class_Groups_Oordered__ab__group__add(_u453) | ~c_Orderings_Oord__class_Oless(_u453, _u455, _u454) | c_Orderings_Oord__class_Oless(_u453, c_Groups_Ouminus__class_Ouminus(_u453, _u454), c_Groups_Ouminus__class_Ouminus(_u453, _u455)) )).
% 12.17/12.37 cnf(matrix-410, plain, ( ~class_Rings_Odivision__ring(_u456) | ( c_Rings_Oinverse__class_Odivide(_u456, c_Groups_Ozero__class_Ozero(_u456), _u457) = c_Groups_Ozero__class_Ozero(_u456)) )).
% 12.17/12.37 cnf(matrix-411, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u458) | ( c_Rings_Oinverse__class_Odivide(_u458, _u459, c_Groups_Ozero__class_Ozero(_u458)) = c_Groups_Ozero__class_Ozero(_u458)) )).
% 12.17/12.37 cnf(matrix-412, plain, ( ~class_Groups_Oab__group__add(_u460) | ( c_Groups_Ouminus__class_Ouminus(_u460, c_Groups_Oplus__class_Oplus(_u460, _u461, _u462)) = c_Groups_Oplus__class_Oplus(_u460, c_Groups_Ouminus__class_Ouminus(_u460, _u461), c_Groups_Ouminus__class_Ouminus(_u460, _u462))) )).
% 12.17/12.37 cnf(matrix-413, plain, ( ~class_Groups_Ogroup__add(_u463) | ( c_Groups_Ouminus__class_Ouminus(_u463, c_Groups_Oplus__class_Oplus(_u463, _u464, _u465)) = c_Groups_Oplus__class_Oplus(_u463, c_Groups_Ouminus__class_Ouminus(_u463, _u465), c_Groups_Ouminus__class_Ouminus(_u463, _u464))) )).
% 12.17/12.37 cnf(matrix-414, plain, ( ~class_Groups_Ogroup__add(_u466) | ( c_Groups_Oplus__class_Oplus(_u466, _u467, c_Groups_Oplus__class_Oplus(_u466, c_Groups_Ouminus__class_Ouminus(_u466, _u467), _u468)) = _u468) )).
% 12.17/12.37 cnf(matrix-415, plain, ( ~class_Groups_Ogroup__add(_u469) | ( c_Groups_Oplus__class_Oplus(_u469, c_Groups_Ouminus__class_Ouminus(_u469, _u470), c_Groups_Oplus__class_Oplus(_u469, _u470, _u471)) = _u471) )).
% 12.17/12.37 cnf(matrix-416, plain, ( ~class_Rings_Odivision__ring(_u472) | ( c_Rings_Oinverse__class_Odivide(_u472, c_Groups_Oplus__class_Oplus(_u472, _u473, _u474), _u475) = c_Groups_Oplus__class_Oplus(_u472, c_Rings_Oinverse__class_Odivide(_u472, _u473, _u475), c_Rings_Oinverse__class_Odivide(_u472, _u474, _u475))) )).
% 12.17/12.37 cnf(matrix-417, plain, ( ~class_Rings_Odivision__ring(_u476) | ( c_Rings_Oinverse__class_Odivide(_u476, _u477, c_Groups_Oone__class_Oone(_u476)) = _u477) )).
% 12.17/12.37 cnf(matrix-418, plain, ( ~class_Rings_Odivision__ring(_u478) | ( c_Groups_Ouminus__class_Ouminus(_u478, c_Rings_Oinverse__class_Odivide(_u478, _u479, _u480)) = c_Rings_Oinverse__class_Odivide(_u478, c_Groups_Ouminus__class_Ouminus(_u478, _u479), _u480)) )).
% 12.17/12.37 cnf(matrix-419, plain, ( ~class_Groups_Olinordered__ab__group__add(_u481) | ~c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), c_Groups_Oplus__class_Oplus(_u481, _u482, _u482)) | c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), _u482) )).
% 12.17/12.37 cnf(matrix-420, plain, ( ~class_Groups_Olinordered__ab__group__add(_u481) | ~c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), _u482) | c_Orderings_Oord__class_Oless__eq(_u481, c_Groups_Ozero__class_Ozero(_u481), c_Groups_Oplus__class_Oplus(_u481, _u482, _u482)) )).
% 12.17/12.38 cnf(matrix-421, plain, ( ~class_Groups_Olinordered__ab__group__add(_u483) | ~c_Orderings_Oord__class_Oless__eq(_u483, c_Groups_Oplus__class_Oplus(_u483, _u484, _u484), c_Groups_Ozero__class_Ozero(_u483)) | c_Orderings_Oord__class_Oless__eq(_u483, _u484, c_Groups_Ozero__class_Ozero(_u483)) )).
% 12.17/12.38 cnf(matrix-422, plain, ( ~class_Groups_Olinordered__ab__group__add(_u483) | ~c_Orderings_Oord__class_Oless__eq(_u483, _u484, c_Groups_Ozero__class_Ozero(_u483)) | c_Orderings_Oord__class_Oless__eq(_u483, c_Groups_Oplus__class_Oplus(_u483, _u484, _u484), c_Groups_Ozero__class_Ozero(_u483)) )).
% 12.17/12.38 cnf(matrix-423, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u485) | ~c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), _u486) | ~c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), _u487) | c_Orderings_Oord__class_Oless__eq(_u485, c_Groups_Ozero__class_Ozero(_u485), c_Groups_Oplus__class_Oplus(_u485, _u486, _u487)) )).
% 12.17/12.38 cnf(matrix-424, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) != c_Groups_Ozero__class_Ozero(_u488)) | ( _u489 = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.38 cnf(matrix-425, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) != c_Groups_Ozero__class_Ozero(_u488)) | ( _u490 = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.38 cnf(matrix-426, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u488) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u489) | ~c_Orderings_Oord__class_Oless__eq(_u488, c_Groups_Ozero__class_Ozero(_u488), _u490) | ( _u489 != c_Groups_Ozero__class_Ozero(_u488)) | ( _u490 != c_Groups_Ozero__class_Ozero(_u488)) | ( c_Groups_Oplus__class_Oplus(_u488, _u489, _u490) = c_Groups_Ozero__class_Ozero(_u488)) )).
% 12.17/12.38 cnf(matrix-427, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u491) | ~c_Orderings_Oord__class_Oless__eq(_u491, c_Groups_Ozero__class_Ozero(_u491), _u492) | ~c_Orderings_Oord__class_Oless__eq(_u491, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(_u491, _u493, c_Groups_Oplus__class_Oplus(_u491, _u492, _u494)) )).
% 12.17/12.38 cnf(matrix-428, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u495) | ~c_Orderings_Oord__class_Oless__eq(_u495, c_Groups_Ozero__class_Ozero(_u495), _u496) | ~c_Orderings_Oord__class_Oless__eq(_u495, _u497, _u498) | c_Orderings_Oord__class_Oless__eq(_u495, _u497, c_Groups_Oplus__class_Oplus(_u495, _u498, _u496)) )).
% 12.17/12.38 cnf(matrix-429, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u499) | ~c_Orderings_Oord__class_Oless__eq(_u499, _u500, c_Groups_Ozero__class_Ozero(_u499)) | ~c_Orderings_Oord__class_Oless__eq(_u499, _u501, c_Groups_Ozero__class_Ozero(_u499)) | c_Orderings_Oord__class_Oless__eq(_u499, c_Groups_Oplus__class_Oplus(_u499, _u500, _u501), c_Groups_Ozero__class_Ozero(_u499)) )).
% 12.17/12.38 cnf(matrix-430, plain, ( ~class_Groups_Olinordered__ab__group__add(_u502) | ~c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), c_Groups_Oplus__class_Oplus(_u502, _u503, _u503)) | c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), _u503) )).
% 12.17/12.38 cnf(matrix-431, plain, ( ~class_Groups_Olinordered__ab__group__add(_u502) | ~c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), _u503) | c_Orderings_Oord__class_Oless(_u502, c_Groups_Ozero__class_Ozero(_u502), c_Groups_Oplus__class_Oplus(_u502, _u503, _u503)) )).
% 12.17/12.38 cnf(matrix-432, plain, ( ~class_Groups_Olinordered__ab__group__add(_u504) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Oplus__class_Oplus(_u504, _u505, _u505), c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 12.17/12.38 cnf(matrix-433, plain, ( ~class_Groups_Olinordered__ab__group__add(_u504) | ~c_Orderings_Oord__class_Oless(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Oplus__class_Oplus(_u504, _u505, _u505), c_Groups_Ozero__class_Ozero(_u504)) )).
% 12.17/12.38 cnf(matrix-434, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u506) | ~c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), _u507) | ~c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), _u508) | c_Orderings_Oord__class_Oless(_u506, c_Groups_Ozero__class_Ozero(_u506), c_Groups_Oplus__class_Oplus(_u506, _u507, _u508)) )).
% 12.17/12.38 cnf(matrix-435, plain, ( ~class_Rings_Olinordered__semidom(_u509) | ~c_Orderings_Oord__class_Oless(_u509, c_Groups_Ozero__class_Ozero(_u509), _u510) | ~c_Orderings_Oord__class_Oless(_u509, _u511, _u512) | c_Orderings_Oord__class_Oless(_u509, _u511, c_Groups_Oplus__class_Oplus(_u509, _u510, _u512)) )).
% 12.17/12.38 cnf(matrix-436, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u513) | ~c_Orderings_Oord__class_Oless(_u513, _u514, c_Groups_Ozero__class_Ozero(_u513)) | ~c_Orderings_Oord__class_Oless(_u513, _u515, c_Groups_Ozero__class_Ozero(_u513)) | c_Orderings_Oord__class_Oless(_u513, c_Groups_Oplus__class_Oplus(_u513, _u514, _u515), c_Groups_Ozero__class_Ozero(_u513)) )).
% 12.17/12.38 cnf(matrix-437, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u516) | ~c_Orderings_Oord__class_Oless(_u516, _u517, _u518) | ~c_Orderings_Oord__class_Oless__eq(_u516, _u519, _u520) | c_Orderings_Oord__class_Oless(_u516, c_Groups_Oplus__class_Oplus(_u516, _u517, _u519), c_Groups_Oplus__class_Oplus(_u516, _u518, _u520)) )).
% 12.17/12.38 cnf(matrix-438, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u521) | ~c_Orderings_Oord__class_Oless__eq(_u521, _u522, _u523) | ~c_Orderings_Oord__class_Oless(_u521, _u524, _u525) | c_Orderings_Oord__class_Oless(_u521, c_Groups_Oplus__class_Oplus(_u521, _u522, _u524), c_Groups_Oplus__class_Oplus(_u521, _u523, _u525)) )).
% 12.17/12.38 cnf(matrix-439, plain, ( ~class_Rings_Olinordered__semidom(_u526) | ~c_Orderings_Oord__class_Oless__eq(_u526, c_Groups_Oone__class_Oone(_u526), c_Groups_Ozero__class_Ozero(_u526)) )).
% 12.17/12.38 cnf(matrix-440, plain, ( ~class_Rings_Olinordered__semidom(_u527) | c_Orderings_Oord__class_Oless__eq(_u527, c_Groups_Ozero__class_Ozero(_u527), c_Groups_Oone__class_Oone(_u527)) )).
% 12.17/12.38 cnf(matrix-441, plain, ( ~class_Rings_Olinordered__semidom(_u528) | ~c_Orderings_Oord__class_Oless(_u528, c_Groups_Oone__class_Oone(_u528), c_Groups_Ozero__class_Ozero(_u528)) )).
% 12.17/12.38 cnf(matrix-442, plain, ( ~class_Rings_Olinordered__semidom(_u529) | c_Orderings_Oord__class_Oless(_u529, c_Groups_Ozero__class_Ozero(_u529), c_Groups_Oone__class_Oone(_u529)) )).
% 12.17/12.38 cnf(matrix-443, plain, ( ~class_Groups_Oordered__ab__group__add(_u530) | ~c_Orderings_Oord__class_Oless__eq(_u530, c_Groups_Ozero__class_Ozero(_u530), c_Groups_Ouminus__class_Ouminus(_u530, _u531)) | c_Orderings_Oord__class_Oless__eq(_u530, _u531, c_Groups_Ozero__class_Ozero(_u530)) )).
% 12.17/12.38 cnf(matrix-444, plain, ( ~class_Groups_Oordered__ab__group__add(_u530) | ~c_Orderings_Oord__class_Oless__eq(_u530, _u531, c_Groups_Ozero__class_Ozero(_u530)) | c_Orderings_Oord__class_Oless__eq(_u530, c_Groups_Ozero__class_Ozero(_u530), c_Groups_Ouminus__class_Ouminus(_u530, _u531)) )).
% 12.17/12.38 cnf(matrix-445, plain, ( ~class_Groups_Olinordered__ab__group__add(_u532) | ~c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ouminus__class_Ouminus(_u532, _u533)) | c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) )).
% 12.17/12.38 cnf(matrix-446, plain, ( ~class_Groups_Olinordered__ab__group__add(_u532) | ~c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | c_Orderings_Oord__class_Oless__eq(_u532, _u533, c_Groups_Ouminus__class_Ouminus(_u532, _u533)) )).
% 12.17/12.38 cnf(matrix-447, plain, ( ~class_Groups_Oordered__ab__group__add(_u534) | ~c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ouminus__class_Ouminus(_u534, _u535), c_Groups_Ozero__class_Ozero(_u534)) | c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ozero__class_Ozero(_u534), _u535) )).
% 12.17/12.38 cnf(matrix-448, plain, ( ~class_Groups_Oordered__ab__group__add(_u534) | ~c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ozero__class_Ozero(_u534), _u535) | c_Orderings_Oord__class_Oless__eq(_u534, c_Groups_Ouminus__class_Ouminus(_u534, _u535), c_Groups_Ozero__class_Ozero(_u534)) )).
% 12.17/12.38 cnf(matrix-449, plain, ( ~class_Groups_Olinordered__ab__group__add(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ouminus__class_Ouminus(_u536, _u537), _u537) | c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u537) )).
% 12.17/12.38 cnf(matrix-450, plain, ( ~class_Groups_Olinordered__ab__group__add(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u537) | c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ouminus__class_Ouminus(_u536, _u537), _u537) )).
% 12.17/12.38 cnf(matrix-451, plain, ( ~class_Groups_Oordered__ab__group__add(_u538) | ~c_Orderings_Oord__class_Oless(_u538, c_Groups_Ozero__class_Ozero(_u538), c_Groups_Ouminus__class_Ouminus(_u538, _u539)) | c_Orderings_Oord__class_Oless(_u538, _u539, c_Groups_Ozero__class_Ozero(_u538)) )).
% 12.17/12.38 cnf(matrix-452, plain, ( ~class_Groups_Oordered__ab__group__add(_u538) | ~c_Orderings_Oord__class_Oless(_u538, _u539, c_Groups_Ozero__class_Ozero(_u538)) | c_Orderings_Oord__class_Oless(_u538, c_Groups_Ozero__class_Ozero(_u538), c_Groups_Ouminus__class_Ouminus(_u538, _u539)) )).
% 12.17/12.38 cnf(matrix-453, plain, ( ~class_Rings_Olinordered__idom(_u540) | ~c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ouminus__class_Ouminus(_u540, _u541)) | c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ozero__class_Ozero(_u540)) )).
% 12.17/12.38 cnf(matrix-454, plain, ( ~class_Rings_Olinordered__idom(_u540) | ~c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ozero__class_Ozero(_u540)) | c_Orderings_Oord__class_Oless(_u540, _u541, c_Groups_Ouminus__class_Ouminus(_u540, _u541)) )).
% 12.17/12.38 cnf(matrix-455, plain, ( ~class_Groups_Oordered__ab__group__add(_u542) | ~c_Orderings_Oord__class_Oless(_u542, c_Groups_Ouminus__class_Ouminus(_u542, _u543), c_Groups_Ozero__class_Ozero(_u542)) | c_Orderings_Oord__class_Oless(_u542, c_Groups_Ozero__class_Ozero(_u542), _u543) )).
% 12.17/12.38 cnf(matrix-456, plain, ( ~class_Groups_Oordered__ab__group__add(_u542) | ~c_Orderings_Oord__class_Oless(_u542, c_Groups_Ozero__class_Ozero(_u542), _u543) | c_Orderings_Oord__class_Oless(_u542, c_Groups_Ouminus__class_Ouminus(_u542, _u543), c_Groups_Ozero__class_Ozero(_u542)) )).
% 12.17/12.38 cnf(matrix-457, plain, ( ~class_Groups_Olinordered__ab__group__add(_u544) | ~c_Orderings_Oord__class_Oless(_u544, c_Groups_Ouminus__class_Ouminus(_u544, _u545), _u545) | c_Orderings_Oord__class_Oless(_u544, c_Groups_Ozero__class_Ozero(_u544), _u545) )).
% 12.17/12.38 cnf(matrix-458, plain, ( ~class_Groups_Olinordered__ab__group__add(_u544) | ~c_Orderings_Oord__class_Oless(_u544, c_Groups_Ozero__class_Ozero(_u544), _u545) | c_Orderings_Oord__class_Oless(_u544, c_Groups_Ouminus__class_Ouminus(_u544, _u545), _u545) )).
% 12.17/12.38 cnf(matrix-459, plain, ( ~class_Rings_Olinordered__semidom(_u546) | c_Orderings_Oord__class_Oless(_u546, _u547, c_Groups_Oplus__class_Oplus(_u546, _u547, c_Groups_Oone__class_Oone(_u546))) )).
% 12.17/12.38 cnf(matrix-460, plain, ( ~class_Groups_Ogroup__add(_u548) | ( c_Groups_Oplus__class_Oplus(_u548, _u549, c_Groups_Ouminus__class_Ouminus(_u548, _u549)) = c_Groups_Ozero__class_Ozero(_u548)) )).
% 12.17/12.38 cnf(matrix-461, plain, ( ~class_Groups_Ogroup__add(_u550) | ( _u551 != c_Groups_Ouminus__class_Ouminus(_u550, _u552)) | ( c_Groups_Oplus__class_Oplus(_u550, _u551, _u552) = c_Groups_Ozero__class_Ozero(_u550)) )).
% 12.17/12.38 cnf(matrix-462, plain, ( ~class_Groups_Ogroup__add(_u550) | ( c_Groups_Oplus__class_Oplus(_u550, _u551, _u552) != c_Groups_Ozero__class_Ozero(_u550)) | ( _u551 = c_Groups_Ouminus__class_Ouminus(_u550, _u552)) )).
% 12.17/12.38 cnf(matrix-463, plain, ( ~class_Groups_Ogroup__add(_u553) | ( c_Groups_Oplus__class_Oplus(_u553, c_Groups_Ouminus__class_Ouminus(_u553, _u554), _u554) = c_Groups_Ozero__class_Ozero(_u553)) )).
% 12.17/12.38 cnf(matrix-464, plain, ( ~class_Groups_Oab__group__add(_u555) | ( c_Groups_Oplus__class_Oplus(_u555, c_Groups_Ouminus__class_Ouminus(_u555, _u556), _u556) = c_Groups_Ozero__class_Ozero(_u555)) )).
% 12.17/12.38 cnf(matrix-465, plain, ( ~class_Groups_Ogroup__add(_u557) | ( c_Groups_Oplus__class_Oplus(_u557, _u558, _u559) != c_Groups_Ozero__class_Ozero(_u557)) | ( c_Groups_Ouminus__class_Ouminus(_u557, _u558) = _u559) )).
% 12.17/12.38 cnf(matrix-466, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u560) | ( _u561 != c_Groups_Ozero__class_Ozero(_u560)) | ( c_Rings_Oinverse__class_Odivide(_u560, _u561, _u561) = c_Groups_Ozero__class_Ozero(_u560)) )).
% 12.17/12.38 cnf(matrix-467, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u560) | ( _u561 = c_Groups_Ozero__class_Ozero(_u560)) | ( c_Rings_Oinverse__class_Odivide(_u560, _u561, _u561) = c_Groups_Oone__class_Oone(_u560)) )).
% 12.17/12.38 cnf(matrix-468, plain, ( ~class_Rings_Odivision__ring(_u562) | ( _u563 = c_Groups_Ozero__class_Ozero(_u562)) | ( c_Rings_Oinverse__class_Odivide(_u562, _u563, _u563) = c_Groups_Oone__class_Oone(_u562)) )).
% 12.17/12.38 cnf(matrix-469, plain, ( ~class_Rings_Odivision__ring(_u564) | ( _u565 = c_Groups_Ozero__class_Ozero(_u564)) | ( c_Rings_Oinverse__class_Odivide(_u564, _u566, _u565) != c_Groups_Oone__class_Oone(_u564)) | ( _u566 = _u565) )).
% 12.17/12.38 cnf(matrix-470, plain, ( ~class_Rings_Odivision__ring(_u564) | ( _u565 = c_Groups_Ozero__class_Ozero(_u564)) | ( _u566 != _u565) | ( c_Rings_Oinverse__class_Odivide(_u564, _u566, _u565) = c_Groups_Oone__class_Oone(_u564)) )).
% 12.17/12.38 cnf(matrix-471, plain, ( ~class_Rings_Odivision__ring(_u567) | ( _u568 = c_Groups_Ozero__class_Ozero(_u567)) | ( c_Groups_Ouminus__class_Ouminus(_u567, c_Rings_Oinverse__class_Odivide(_u567, _u569, _u568)) = c_Rings_Oinverse__class_Odivide(_u567, _u569, c_Groups_Ouminus__class_Ouminus(_u567, _u568))) )).
% 12.17/12.38 cnf(matrix-472, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Nat_OSuc(_u570)) )).
% 12.17/12.38 cnf(matrix-473, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u571, c_Nat_OSuc(_u571)) )).
% 12.17/12.38 cnf(matrix-474, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u572, _u573) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u572), c_Nat_OSuc(_u573)) )).
% 12.17/12.38 cnf(matrix-475, plain, ( ( c_Nat_OSuc(_u574) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u574, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-476, plain, ( ( c_Nat_OSuc(_u575) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u575)) )).
% 12.17/12.38 cnf(matrix-477, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u580, _u582) | ( _u582 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u580, skolem20(_u582, _u580)))) )).
% 12.17/12.38 cnf(matrix-478, plain, ( ( _u583 != c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u581, _u577))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u581, _u583) )).
% 12.17/12.38 cnf(matrix-479, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u584, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u585, _u584))) )).
% 12.17/12.38 cnf(matrix-480, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u586, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u586, _u587))) )).
% 12.17/12.38 cnf(matrix-481, plain, ( ~class_Rings_Olinordered__idom(_u588) | ~c_Orderings_Oord__class_Oless(_u588, c_Groups_Oplus__class_Oplus(_u588, _u589, _u589), c_Groups_Ozero__class_Ozero(_u588)) | c_Orderings_Oord__class_Oless(_u588, _u589, c_Groups_Ozero__class_Ozero(_u588)) )).
% 12.17/12.38 cnf(matrix-482, plain, ( ~class_Rings_Olinordered__idom(_u588) | ~c_Orderings_Oord__class_Oless(_u588, _u589, c_Groups_Ozero__class_Ozero(_u588)) | c_Orderings_Oord__class_Oless(_u588, c_Groups_Oplus__class_Oplus(_u588, _u589, _u589), c_Groups_Ozero__class_Ozero(_u588)) )).
% 12.17/12.38 cnf(matrix-483, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u590), v_r) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), _u590)) != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u591)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u596, _u591) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u596, skolem21) )).
% 12.17/12.38 cnf(matrix-484, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem23(_u597)), v_r) )).
% 12.17/12.38 cnf(matrix-485, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem23(_u597))) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem22(_u597))) )).
% 12.17/12.38 cnf(matrix-486, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem21) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u597, skolem22(_u597)) )).
% 12.17/12.38 cnf(matrix-487, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u598, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-488, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u599) )).
% 12.17/12.38 cnf(matrix-489, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u600) )).
% 12.17/12.38 cnf(matrix-490, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u602, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u602 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-491, plain, ( ( _u603 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u603, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-492, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u604, _u605) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u605, _u604) | ( _u604 = _u605) )).
% 12.17/12.38 cnf(matrix-493, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u606, _u607) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u607, _u608) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u606, _u608) )).
% 12.17/12.38 cnf(matrix-494, plain, ( ( _u609 != _u610) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u609, _u610) )).
% 12.17/12.38 cnf(matrix-495, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u611, _u612) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u612, _u611) )).
% 12.17/12.38 cnf(matrix-496, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u613, _u613) )).
% 12.17/12.38 cnf(matrix-497, plain, ( ( c_Nat_OSuc(_u614) != c_Nat_OSuc(_u615)) | ( _u614 = _u615) )).
% 12.17/12.38 cnf(matrix-498, plain, ( ( c_Nat_OSuc(_u618) != c_Nat_OSuc(_u620)) | ( _u618 = _u620) )).
% 12.17/12.38 cnf(matrix-499, plain, ( ( _u619 != _u621) | ( c_Nat_OSuc(_u619) = c_Nat_OSuc(_u621)) )).
% 12.17/12.38 cnf(matrix-500, plain, ( ( c_Nat_OSuc(_u622) != _u622) )).
% 12.17/12.38 cnf(matrix-501, plain, ( ( _u623 != c_Nat_OSuc(_u623)) )).
% 12.17/12.38 cnf(matrix-502, plain, ( ( c_Nat_OSuc(_u624) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-503, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u625)) )).
% 12.17/12.38 cnf(matrix-504, plain, ( ( c_Nat_OSuc(_u626) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-505, plain, ( ( c_Nat_OSuc(_u627) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-506, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u628)) )).
% 12.17/12.38 cnf(matrix-507, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(_u629)) )).
% 12.17/12.38 cnf(matrix-508, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u630), _u631) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u630, _u631) )).
% 12.17/12.38 cnf(matrix-509, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u632, c_Nat_OSuc(_u633)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u632, _u633) | ( _u632 = c_Nat_OSuc(_u633)) )).
% 12.17/12.38 cnf(matrix-510, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u634, _u635) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u634, c_Nat_OSuc(_u635)) )).
% 12.17/12.38 cnf(matrix-511, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u638), c_Nat_OSuc(_u640)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u638, _u640) )).
% 12.17/12.38 cnf(matrix-512, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u639, _u641) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u639), c_Nat_OSuc(_u641)) )).
% 12.17/12.38 cnf(matrix-513, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u644, c_Nat_OSuc(_u646)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u644, _u646) | ( _u644 = c_Nat_OSuc(_u646)) )).
% 12.17/12.38 cnf(matrix-514, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, c_Nat_OSuc(_u647)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, _u647) )).
% 12.17/12.38 cnf(matrix-515, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u645, c_Nat_OSuc(_u647)) | ( _u645 != c_Nat_OSuc(_u647)) )).
% 12.17/12.38 cnf(matrix-516, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u650, _u652) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u652), _u650) )).
% 12.17/12.38 cnf(matrix-517, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u653), _u651) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u651, _u653) )).
% 12.17/12.38 cnf(matrix-518, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u654), _u654) )).
% 12.17/12.38 cnf(matrix-519, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u655, _u656) | ( _u655 = _u656) | hBOOL(hAPP(hAPP(_u657, _u656), _u655)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u656, _u655) )).
% 12.17/12.38 cnf(matrix-520, plain, ( ( _u658 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u658) )).
% 12.17/12.38 cnf(matrix-521, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u659, _u660) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u659, _u660) )).
% 12.17/12.38 cnf(matrix-522, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u659, _u660) | ( _u659 != _u660) )).
% 12.17/12.38 cnf(matrix-523, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u661, _u662) | ( _u661 = _u662) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u661, _u662) )).
% 12.17/12.38 cnf(matrix-524, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u663, _u664) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u663, _u664) )).
% 12.17/12.38 cnf(matrix-525, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u665, _u666) | ( _u665 != _u666) )).
% 12.17/12.38 cnf(matrix-526, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u667, _u668) | ( _u668 != _u667) )).
% 12.17/12.38 cnf(matrix-527, plain, ( ( _u670 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u669, _u670) )).
% 12.17/12.38 cnf(matrix-528, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u671, _u671) )).
% 12.17/12.38 cnf(matrix-529, plain, ( ( _u672 = _u673) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u672, _u673) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u673, _u672) )).
% 12.17/12.38 cnf(matrix-530, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u676, _u678) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u676, _u678) | ( _u676 = _u678) )).
% 12.17/12.38 cnf(matrix-531, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u677, _u679) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u677, _u679) )).
% 12.17/12.38 cnf(matrix-532, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u677, _u679) | ( _u677 != _u679) )).
% 12.17/12.38 cnf(matrix-533, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u682, _u684) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u682, _u684) )).
% 12.17/12.38 cnf(matrix-534, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u682, _u684) | ( _u682 != _u684) )).
% 12.17/12.38 cnf(matrix-535, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u683, _u685) | ( _u683 = _u685) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u683, _u685) )).
% 12.17/12.38 cnf(matrix-536, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u686, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-537, plain, ( ( _u689 = _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u689, _u691) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u691, _u689) )).
% 12.17/12.38 cnf(matrix-538, plain, ( ( _u690 != _u692) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u690, _u692) )).
% 12.17/12.38 cnf(matrix-539, plain, ( ( _u690 != _u692) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u692, _u690) )).
% 12.17/12.38 cnf(matrix-540, plain, ( ( _u694 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u694) )).
% 12.17/12.38 cnf(matrix-541, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u695) | ( _u695 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-542, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u696, _u696) )).
% 12.17/12.38 cnf(matrix-543, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u697, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-544, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u698, _u699), _u700) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u698, _u700) )).
% 12.17/12.38 cnf(matrix-545, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u698, _u699), _u700) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u699, _u700) )).
% 12.17/12.38 cnf(matrix-546, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u701, _u702), _u703) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u701, _u703) )).
% 12.17/12.38 cnf(matrix-547, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u705, _u706) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u704, _u705), _u706) )).
% 12.17/12.38 cnf(matrix-548, plain, ( ( _u708 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u707, _u708) != _u707) )).
% 12.17/12.38 cnf(matrix-549, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u709, _u710) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u711, _u712) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u709, _u711), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u710, _u712)) )).
% 12.17/12.38 cnf(matrix-550, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u713, _u714) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u713, _u715), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u714, _u715)) )).
% 12.17/12.38 cnf(matrix-551, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u716, _u717) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u716, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u718, _u717)) )).
% 12.17/12.38 cnf(matrix-552, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u719, _u720) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u719, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u720, _u721)) )).
% 12.17/12.38 cnf(matrix-553, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u727, _u729) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u725, _u727), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u725, _u729)) )).
% 12.17/12.38 cnf(matrix-554, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u728, _u730) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u726, _u728), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u726, _u730)) )).
% 12.17/12.38 cnf(matrix-555, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u734, _u736) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u738, _u736)) | ( _u734 = _u738) )).
% 12.17/12.38 cnf(matrix-556, plain, ( ( _u735 != _u739) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u735, _u737) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u739, _u737)) )).
% 12.17/12.38 cnf(matrix-557, plain, ( ( _u745 = _u747) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u743, _u745) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u743, _u747)) )).
% 12.17/12.38 cnf(matrix-558, plain, ( ( _u746 != _u748) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u744, _u746) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u744, _u748)) )).
% 12.17/12.38 cnf(matrix-559, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u749, _u750), _u751) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u749, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u750, _u751))) )).
% 12.17/12.38 cnf(matrix-560, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u754, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u754 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-561, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u754, _u756) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u756 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-562, plain, ( ( _u755 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u755, _u757) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-563, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u758, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u759, _u760)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u759, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u758, _u760))) )).
% 12.17/12.38 cnf(matrix-564, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u761, _u762) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u762, _u761)) )).
% 12.17/12.38 cnf(matrix-565, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u767, _u769) | ( _u769 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u767, skolem24(_u769, _u767))) )).
% 12.17/12.38 cnf(matrix-566, plain, ( ( _u770 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u768, _u764)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u768, _u770) )).
% 12.17/12.38 cnf(matrix-567, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u771) )).
% 12.17/12.38 cnf(matrix-568, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u772) = _u772) )).
% 12.17/12.38 cnf(matrix-569, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u773, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u773, _u774)) )).
% 12.17/12.38 cnf(matrix-570, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u775, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u776, _u775)) )).
% 12.17/12.38 cnf(matrix-571, plain, ( ~class_Groups_Olinordered__ab__group__add(_u777) | ( c_Groups_Oplus__class_Oplus(_u777, _u778, _u778) != c_Groups_Ozero__class_Ozero(_u777)) | ( _u778 = c_Groups_Ozero__class_Ozero(_u777)) )).
% 12.17/12.38 cnf(matrix-572, plain, ( ~class_Groups_Olinordered__ab__group__add(_u777) | ( _u778 != c_Groups_Ozero__class_Ozero(_u777)) | ( c_Groups_Oplus__class_Oplus(_u777, _u778, _u778) = c_Groups_Ozero__class_Ozero(_u777)) )).
% 12.17/12.38 cnf(matrix-573, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u779), c_Nat_OSuc(_u780)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u779, _u780) )).
% 12.17/12.38 cnf(matrix-574, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u781), _u782) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u781, _u782) )).
% 12.17/12.38 cnf(matrix-575, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u783, c_Nat_OSuc(_u784)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u783, _u784) | ( _u783 = _u784) )).
% 12.17/12.38 cnf(matrix-576, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u785, _u786) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u786, _u787) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u785), _u787) )).
% 12.17/12.38 cnf(matrix-577, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u788, _u789) | ( c_Nat_OSuc(_u788) = _u789) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u788), _u789) )).
% 12.17/12.38 cnf(matrix-578, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u790, _u791) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u790, c_Nat_OSuc(_u791)) )).
% 12.17/12.38 cnf(matrix-579, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u792, _u793) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u792, c_Nat_OSuc(_u793)) | ( _u793 = _u792) )).
% 12.17/12.38 cnf(matrix-580, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, _u795) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, c_Nat_OSuc(_u795)) | ( _u794 = _u795) )).
% 12.17/12.38 cnf(matrix-581, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, _u795) | ( _u794 != _u795) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u794, c_Nat_OSuc(_u795)) )).
% 12.17/12.38 cnf(matrix-582, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u798), c_Nat_OSuc(_u800)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u798, _u800) )).
% 12.17/12.38 cnf(matrix-583, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u799, _u801) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(_u799), c_Nat_OSuc(_u801)) )).
% 12.17/12.38 cnf(matrix-584, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u804, c_Nat_OSuc(_u806)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u804, _u806) | ( _u804 = _u806) )).
% 12.17/12.38 cnf(matrix-585, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, c_Nat_OSuc(_u807)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, _u807) )).
% 12.17/12.38 cnf(matrix-586, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u805, c_Nat_OSuc(_u807)) | ( _u805 != _u807) )).
% 12.17/12.38 cnf(matrix-587, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u810, _u812) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u812, c_Nat_OSuc(_u810)) )).
% 12.17/12.38 cnf(matrix-588, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u813, c_Nat_OSuc(_u811)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u811, _u813) )).
% 12.17/12.38 cnf(matrix-589, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u817) | ( _u817 = c_Nat_OSuc(skolem25(_u817))) )).
% 12.17/12.38 cnf(matrix-590, plain, ( ( _u818 != c_Nat_OSuc(_u815)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u818) )).
% 12.17/12.38 cnf(matrix-591, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u820, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u820 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-592, plain, ( ( _u821 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u821, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-593, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u826, c_Nat_OSuc(_u828)) | ( _u826 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u826 = c_Nat_OSuc(skolem26(_u828, _u826))) )).
% 12.17/12.38 cnf(matrix-594, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u826, c_Nat_OSuc(_u828)) | ( _u826 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem26(_u828, _u826), _u828) )).
% 12.17/12.38 cnf(matrix-595, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u827, c_Nat_OSuc(_u829)) | ( _u827 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-596, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u827, c_Nat_OSuc(_u829)) | ( _u827 != c_Nat_OSuc(_u823)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u823, _u829) )).
% 12.17/12.38 cnf(matrix-597, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u832, _u834) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u832), _u834) )).
% 12.17/12.38 cnf(matrix-598, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u833), _u835) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u833, _u835) )).
% 12.17/12.38 cnf(matrix-599, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u838, c_Nat_OSuc(_u840)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u838, _u840) )).
% 12.17/12.38 cnf(matrix-600, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u839, _u841) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u839, c_Nat_OSuc(_u841)) )).
% 12.17/12.38 cnf(matrix-601, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u844), _u846) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u844, _u846) )).
% 12.17/12.38 cnf(matrix-602, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u845, _u847) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u845), _u847) )).
% 12.17/12.38 cnf(matrix-603, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u848, _u849) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u848, c_Nat_OSuc(_u849)) )).
% 12.17/12.38 cnf(matrix-604, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u850, _u851) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u850), _u851) )).
% 12.17/12.38 cnf(matrix-605, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u852, _u853) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u853, c_Nat_OSuc(_u852)) | ( _u853 = _u852) )).
% 12.17/12.38 cnf(matrix-606, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u852, _u853) | ( _u853 != _u852) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u853, c_Nat_OSuc(_u852)) )).
% 12.17/12.38 cnf(matrix-607, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(_u854), _u855) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u854, _u855) )).
% 12.17/12.38 cnf(matrix-608, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u856), _u857) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u856, c_Nat_OSuc(_u857))) )).
% 12.17/12.38 cnf(matrix-609, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Nat_OSuc(_u858), _u859) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u858, _u859))) )).
% 12.17/12.38 cnf(matrix-610, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, c_Nat_OSuc(_u861)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u860, _u861))) )).
% 12.17/12.38 cnf(matrix-611, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u864 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u864 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-612, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u864 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u866 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-613, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u866 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u864 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-614, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u864, _u866)) | ( _u866 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u866 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-615, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u865, _u867)) | ( _u865 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u867 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-616, plain, ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u865, _u867)) | ( _u865 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u867 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-617, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-618, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u870 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-619, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u870 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-620, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u870, _u872) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u872 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u872 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-621, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u871, _u873) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u871 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u873 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-622, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u871, _u873) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u871 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u873 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-623, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u874, _u875), _u876) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u874, _u876) )).
% 12.17/12.38 cnf(matrix-624, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u877, _u878) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u879, _u878) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u877, _u880)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u879, _u880) )).
% 12.17/12.38 cnf(matrix-625, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u881, _u882) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u883, _u884) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u881, _u883), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u882, _u884)) )).
% 12.17/12.38 cnf(matrix-626, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u885, _u886) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u885, _u887), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u886, _u887)) )).
% 12.17/12.38 cnf(matrix-627, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u888, _u889) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u888, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u890, _u889)) )).
% 12.17/12.38 cnf(matrix-628, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u891, _u892) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u891, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u892, _u893)) )).
% 12.17/12.38 cnf(matrix-629, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u899, _u901) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u897, _u899), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u897, _u901)) )).
% 12.17/12.38 cnf(matrix-630, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u900, _u902) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u898, _u900), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u898, _u902)) )).
% 12.17/12.38 cnf(matrix-631, 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, _u905, _u907)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u905) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u907) )).
% 12.17/12.38 cnf(matrix-632, 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, _u906, _u908)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u906) )).
% 12.17/12.38 cnf(matrix-633, 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, _u906, _u908)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u908) )).
% 12.17/12.38 cnf(matrix-634, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u909, _u910), _u910) )).
% 12.17/12.38 cnf(matrix-635, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u911, _u912), _u911) )).
% 12.17/12.38 cnf(matrix-636, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-637, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u913, c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u913 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u913 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-638, plain, ( ~class_Orderings_Opreorder(_u914) | c_Orderings_Oord__class_Oless__eq(_u914, _u915, _u915) )).
% 12.17/12.38 cnf(matrix-639, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, skolem28), v_r) )).
% 12.17/12.38 cnf(matrix-640, plain, ( ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), skolem28)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, skolem27)) )).
% 12.17/12.38 cnf(matrix-641, plain, ( ~class_Rings_Ocomm__ring(_u918) | ( hAPP(c_Polynomial_Opoly(_u918, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u918), _u919)), _u920) = c_Groups_Ouminus__class_Ouminus(_u918, hAPP(c_Polynomial_Opoly(_u918, _u919), _u920))) )).
% 12.17/12.38 cnf(matrix-642, plain, ( ~class_Rings_Ocomm__semiring__1(_u921) | ( hAPP(c_Polynomial_Opoly(_u921, c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(_u921))), _u922) = c_Groups_Oone__class_Oone(_u921)) )).
% 12.17/12.38 cnf(matrix-643, plain, ( ~class_Rings_Ocomm__semiring__0(_u923) | ( hAPP(c_Polynomial_Opoly(_u923, c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u923), _u924, _u925)), _u926) = c_Groups_Oplus__class_Oplus(_u923, hAPP(c_Polynomial_Opoly(_u923, _u924), _u926), hAPP(c_Polynomial_Opoly(_u923, _u925), _u926))) )).
% 12.17/12.38 cnf(matrix-644, plain, ( ~class_Rings_Ocomm__semiring__0(_u927) | ( hAPP(c_Polynomial_Opoly(_u927, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u927))), _u928) = c_Groups_Ozero__class_Ozero(_u927)) )).
% 12.17/12.38 cnf(matrix-645, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u929, _u930) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u929, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u931, _u930)) )).
% 12.17/12.38 cnf(matrix-646, plain, ( ~class_Groups_Oab__group__add(_u932) | ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u932), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u932))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u932))) )).
% 12.17/12.38 cnf(matrix-647, plain, ( ~class_Groups_Ocomm__monoid__add(_u933) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u933), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u933)), _u934) = _u934) )).
% 12.17/12.38 cnf(matrix-648, plain, ( ~class_Groups_Ocomm__monoid__add(_u935) | ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u935), _u936, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u935))) = _u936) )).
% 12.17/12.38 cnf(matrix-649, plain, ( ~class_Orderings_Oord(_u939) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u940, _u939), _u941, _u942) | c_Orderings_Oord__class_Oless__eq(_u939, hAPP(_u941, _u937), hAPP(_u942, _u937)) )).
% 12.17/12.38 cnf(matrix-650, plain, ( ~class_Orderings_Oord(_u939) | ~c_Orderings_Oord__class_Oless__eq(_u939, hAPP(_u941, skolem29(_u942, _u941, _u940, _u939)), hAPP(_u942, skolem29(_u942, _u941, _u940, _u939))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u940, _u939), _u941, _u942) )).
% 12.17/12.38 cnf(matrix-651, plain, ( ~class_Orderings_Olinorder(_u943) | c_Orderings_Oord__class_Oless__eq(_u943, _u944, _u945) | c_Orderings_Oord__class_Oless__eq(_u943, _u945, _u944) )).
% 12.17/12.38 cnf(matrix-652, plain, ( ~class_Orderings_Oorder(_u946) | ( _u947 != _u948) | c_Orderings_Oord__class_Oless__eq(_u946, _u947, _u948) )).
% 12.17/12.38 cnf(matrix-653, plain, ( ~class_Orderings_Oorder(_u946) | ( _u947 != _u948) | c_Orderings_Oord__class_Oless__eq(_u946, _u948, _u947) )).
% 12.17/12.38 cnf(matrix-654, plain, ( ~class_Orderings_Oorder(_u946) | ~c_Orderings_Oord__class_Oless__eq(_u946, _u947, _u948) | ~c_Orderings_Oord__class_Oless__eq(_u946, _u948, _u947) | ( _u947 = _u948) )).
% 12.17/12.38 cnf(matrix-655, plain, ( ~class_Orderings_Opreorder(_u949) | ( _u950 != _u951) | c_Orderings_Oord__class_Oless__eq(_u949, _u950, _u951) )).
% 12.17/12.38 cnf(matrix-656, plain, ( ~class_Orderings_Oord(_u952) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u953, _u952), _u954, _u955) | c_Orderings_Oord__class_Oless__eq(_u952, hAPP(_u954, _u956), hAPP(_u955, _u956)) )).
% 12.17/12.38 cnf(matrix-657, plain, ( ~class_Orderings_Oorder(_u957) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u958, _u959) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u959, _u958) | ( _u959 = _u958) )).
% 12.17/12.38 cnf(matrix-658, plain, ( ~class_Orderings_Oorder(_u957) | ~c_Orderings_Oord__class_Oless__eq(_u957, _u958, _u959) | ( _u959 != _u958) | c_Orderings_Oord__class_Oless__eq(_u957, _u959, _u958) )).
% 12.17/12.38 cnf(matrix-659, plain, ( ~class_Orderings_Oord(_u960) | ( _u961 != _u962) | ~c_Orderings_Oord__class_Oless__eq(_u960, _u962, _u963) | c_Orderings_Oord__class_Oless__eq(_u960, _u961, _u963) )).
% 12.17/12.38 cnf(matrix-660, plain, ( ~class_Orderings_Oorder(_u964) | ( _u965 != _u966) | ~c_Orderings_Oord__class_Oless__eq(_u964, _u967, _u966) | c_Orderings_Oord__class_Oless__eq(_u964, _u967, _u965) )).
% 12.17/12.38 cnf(matrix-661, plain, ( ~class_Orderings_Oord(_u968) | ~c_Orderings_Oord__class_Oless__eq(_u968, _u969, _u970) | ( _u970 != _u971) | c_Orderings_Oord__class_Oless__eq(_u968, _u969, _u971) )).
% 12.17/12.38 cnf(matrix-662, plain, ( ~class_Orderings_Oorder(_u972) | ~c_Orderings_Oord__class_Oless__eq(_u972, _u973, _u974) | ( _u973 != _u975) | c_Orderings_Oord__class_Oless__eq(_u972, _u975, _u974) )).
% 12.17/12.38 cnf(matrix-663, plain, ( ~class_Orderings_Oorder(_u976) | ~c_Orderings_Oord__class_Oless__eq(_u976, _u977, _u978) | ~c_Orderings_Oord__class_Oless__eq(_u976, _u978, _u977) | ( _u977 = _u978) )).
% 12.17/12.38 cnf(matrix-664, plain, ( ~class_Orderings_Opreorder(_u979) | ~c_Orderings_Oord__class_Oless__eq(_u979, _u980, _u981) | ~c_Orderings_Oord__class_Oless__eq(_u979, _u981, _u982) | c_Orderings_Oord__class_Oless__eq(_u979, _u980, _u982) )).
% 12.17/12.38 cnf(matrix-665, plain, ( ~class_Orderings_Oorder(_u983) | ~c_Orderings_Oord__class_Oless__eq(_u983, _u984, _u985) | ~c_Orderings_Oord__class_Oless__eq(_u983, _u985, _u984) | ( _u985 = _u984) )).
% 12.17/12.38 cnf(matrix-666, plain, ( ~class_Orderings_Oorder(_u986) | ~c_Orderings_Oord__class_Oless__eq(_u986, _u987, _u988) | ~c_Orderings_Oord__class_Oless__eq(_u986, _u989, _u987) | c_Orderings_Oord__class_Oless__eq(_u986, _u989, _u988) )).
% 12.17/12.38 cnf(matrix-667, plain, ( ~class_Orderings_Oord(_u990) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u991, _u990), _u992, _u993) | c_Orderings_Oord__class_Oless__eq(_u990, hAPP(_u992, _u994), hAPP(_u993, _u994)) )).
% 12.17/12.38 cnf(matrix-668, plain, ( ~class_Orderings_Olinorder(_u995) | c_Orderings_Oord__class_Oless__eq(_u995, _u996, _u997) | c_Orderings_Oord__class_Oless__eq(_u995, _u997, _u996) )).
% 12.17/12.38 cnf(matrix-669, plain, ( ~class_Orderings_Opreorder(_u998) | ~c_Orderings_Oord__class_Oless(_u998, _u999, _u999) )).
% 12.17/12.38 cnf(matrix-670, plain, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 = _u1002) | c_Orderings_Oord__class_Oless(_u1000, _u1001, _u1002) | c_Orderings_Oord__class_Oless(_u1000, _u1002, _u1001) )).
% 12.17/12.38 cnf(matrix-671, plain, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 != _u1002) | ~c_Orderings_Oord__class_Oless(_u1000, _u1001, _u1002) )).
% 12.17/12.38 cnf(matrix-672, plain, ( ~class_Orderings_Olinorder(_u1000) | ( _u1001 != _u1002) | ~c_Orderings_Oord__class_Oless(_u1000, _u1002, _u1001) )).
% 12.17/12.38 cnf(matrix-673, plain, ( ~class_Orderings_Olinorder(_u1003) | c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | c_Orderings_Oord__class_Oless(_u1003, _u1005, _u1004) | ( _u1004 = _u1005) )).
% 12.17/12.38 cnf(matrix-674, plain, ( ~class_Orderings_Olinorder(_u1003) | ~c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | ~c_Orderings_Oord__class_Oless(_u1003, _u1005, _u1004) )).
% 12.17/12.38 cnf(matrix-675, plain, ( ~class_Orderings_Olinorder(_u1003) | ~c_Orderings_Oord__class_Oless(_u1003, _u1004, _u1005) | ( _u1004 != _u1005) )).
% 12.17/12.38 cnf(matrix-676, plain, ( ~class_Orderings_Olinorder(_u1006) | c_Orderings_Oord__class_Oless(_u1006, _u1007, _u1008) | ( _u1007 = _u1008) | c_Orderings_Oord__class_Oless(_u1006, _u1008, _u1007) )).
% 12.17/12.38 cnf(matrix-677, plain, ( ~class_Orderings_Olinorder(_u1009) | c_Orderings_Oord__class_Oless(_u1009, _u1010, _u1011) | c_Orderings_Oord__class_Oless(_u1009, _u1011, _u1010) | ( _u1011 = _u1010) )).
% 12.17/12.38 cnf(matrix-678, plain, ( ~class_Orderings_Olinorder(_u1009) | c_Orderings_Oord__class_Oless(_u1009, _u1010, _u1011) | ( _u1011 != _u1010) | ~c_Orderings_Oord__class_Oless(_u1009, _u1011, _u1010) )).
% 12.17/12.38 cnf(matrix-679, plain, ( ~class_Orderings_Olinorder(_u1012) | ( _u1013 = _u1014) | c_Orderings_Oord__class_Oless(_u1012, _u1013, _u1014) | c_Orderings_Oord__class_Oless(_u1012, _u1014, _u1013) )).
% 12.17/12.38 cnf(matrix-680, plain, ( ~class_Orderings_Oorder(_u1015) | ~c_Orderings_Oord__class_Oless(_u1015, _u1016, _u1017) | ( _u1016 != _u1017) )).
% 12.17/12.38 cnf(matrix-681, plain, ( ~class_Orderings_Opreorder(_u1018) | ~c_Orderings_Oord__class_Oless(_u1018, _u1019, _u1020) | ~c_Orderings_Oord__class_Oless(_u1018, _u1020, _u1019) )).
% 12.17/12.38 cnf(matrix-682, plain, ( ~class_Orderings_Opreorder(_u1021) | ~c_Orderings_Oord__class_Oless(_u1021, _u1022, _u1023) | ~c_Orderings_Oord__class_Oless(_u1021, _u1023, _u1022) )).
% 12.17/12.38 cnf(matrix-683, plain, ( ~class_Orderings_Oorder(_u1024) | ~c_Orderings_Oord__class_Oless(_u1024, _u1025, _u1026) | ( _u1025 != _u1026) )).
% 12.17/12.38 cnf(matrix-684, plain, ( ~class_Orderings_Oorder(_u1027) | ~c_Orderings_Oord__class_Oless(_u1027, _u1028, _u1029) | ( _u1029 != _u1028) )).
% 12.17/12.38 cnf(matrix-685, plain, ( ~class_Orderings_Opreorder(_u1030) | ~c_Orderings_Oord__class_Oless(_u1030, _u1031, _u1032) | ~c_Orderings_Oord__class_Oless(_u1030, _u1032, _u1031) )).
% 12.17/12.38 cnf(matrix-686, plain, ( ~class_Orderings_Oorder(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, _u1034, _u1035) | ~c_Orderings_Oord__class_Oless(_u1033, _u1035, _u1034) )).
% 12.17/12.38 cnf(matrix-687, plain, ( ~class_Orderings_Oord(_u1036) | ( _u1037 != _u1038) | ~c_Orderings_Oord__class_Oless(_u1036, _u1038, _u1039) | c_Orderings_Oord__class_Oless(_u1036, _u1037, _u1039) )).
% 12.17/12.38 cnf(matrix-688, plain, ( ~class_Orderings_Oorder(_u1040) | ( _u1041 != _u1042) | ~c_Orderings_Oord__class_Oless(_u1040, _u1043, _u1042) | c_Orderings_Oord__class_Oless(_u1040, _u1043, _u1041) )).
% 12.17/12.38 cnf(matrix-689, plain, ( ~class_Orderings_Oord(_u1044) | ~c_Orderings_Oord__class_Oless(_u1044, _u1045, _u1046) | ( _u1046 != _u1047) | c_Orderings_Oord__class_Oless(_u1044, _u1045, _u1047) )).
% 12.17/12.38 cnf(matrix-690, plain, ( ~class_Orderings_Oorder(_u1048) | ~c_Orderings_Oord__class_Oless(_u1048, _u1049, _u1050) | ( _u1049 != _u1051) | c_Orderings_Oord__class_Oless(_u1048, _u1051, _u1050) )).
% 12.17/12.38 cnf(matrix-691, plain, ( ~class_Orderings_Opreorder(_u1052) | ~c_Orderings_Oord__class_Oless(_u1052, _u1053, _u1054) | ~c_Orderings_Oord__class_Oless(_u1052, _u1054, _u1055) | c_Orderings_Oord__class_Oless(_u1052, _u1053, _u1055) )).
% 12.17/12.38 cnf(matrix-692, plain, ( ~class_Orderings_Oorder(_u1056) | ~c_Orderings_Oord__class_Oless(_u1056, _u1057, _u1058) | ~c_Orderings_Oord__class_Oless(_u1056, _u1059, _u1057) | c_Orderings_Oord__class_Oless(_u1056, _u1059, _u1058) )).
% 12.17/12.38 cnf(matrix-693, plain, ( ~class_Orderings_Opreorder(_u1060) | ~c_Orderings_Oord__class_Oless(_u1060, _u1061, _u1062) | ~c_Orderings_Oord__class_Oless(_u1060, _u1062, _u1061) )).
% 12.17/12.38 cnf(matrix-694, plain, ( ~class_Orderings_Olinorder(_u1063) | c_Orderings_Oord__class_Oless(_u1063, _u1064, _u1065) | ( _u1064 = _u1065) | c_Orderings_Oord__class_Oless(_u1063, _u1065, _u1064) )).
% 12.17/12.38 cnf(matrix-695, plain, ( ~class_Int_Oring__char__0(_u1066) | ~class_Rings_Oidom(_u1066) | ( c_Polynomial_Opoly(_u1066, _u1067) != c_Polynomial_Opoly(_u1066, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066)))) | ( _u1067 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066))) )).
% 12.17/12.38 cnf(matrix-696, plain, ( ~class_Int_Oring__char__0(_u1066) | ~class_Rings_Oidom(_u1066) | ( _u1067 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066))) | ( c_Polynomial_Opoly(_u1066, _u1067) = c_Polynomial_Opoly(_u1066, c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1066)))) )).
% 12.17/12.38 cnf(matrix-697, plain, ( ~class_Int_Oring__char__0(_u1068) | ~class_Rings_Oidom(_u1068) | ( c_Polynomial_Opoly(_u1068, _u1069) != c_Polynomial_Opoly(_u1068, _u1070)) | ( _u1069 = _u1070) )).
% 12.17/12.38 cnf(matrix-698, plain, ( ~class_Int_Oring__char__0(_u1068) | ~class_Rings_Oidom(_u1068) | ( _u1069 != _u1070) | ( c_Polynomial_Opoly(_u1068, _u1069) = c_Polynomial_Opoly(_u1068, _u1070)) )).
% 12.17/12.38 cnf(matrix-699, plain, ( ~class_Orderings_Olinorder(_u1071) | c_Orderings_Oord__class_Oless(_u1071, _u1072, _u1073) | c_Orderings_Oord__class_Oless__eq(_u1071, _u1073, _u1072) )).
% 12.17/12.38 cnf(matrix-700, plain, ( ~class_Orderings_Olinorder(_u1071) | ~c_Orderings_Oord__class_Oless__eq(_u1071, _u1073, _u1072) | ~c_Orderings_Oord__class_Oless(_u1071, _u1072, _u1073) )).
% 12.17/12.38 cnf(matrix-701, plain, ( ~class_Orderings_Olinorder(_u1074) | c_Orderings_Oord__class_Oless__eq(_u1074, _u1075, _u1076) | c_Orderings_Oord__class_Oless(_u1074, _u1076, _u1075) )).
% 12.17/12.38 cnf(matrix-702, plain, ( ~class_Orderings_Olinorder(_u1074) | ~c_Orderings_Oord__class_Oless(_u1074, _u1076, _u1075) | ~c_Orderings_Oord__class_Oless__eq(_u1074, _u1075, _u1076) )).
% 12.17/12.38 cnf(matrix-703, plain, ( ~class_Orderings_Olinorder(_u1077) | c_Orderings_Oord__class_Oless__eq(_u1077, _u1078, _u1079) | c_Orderings_Oord__class_Oless(_u1077, _u1079, _u1078) )).
% 12.17/12.38 cnf(matrix-704, plain, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) | c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1082) )).
% 12.17/12.38 cnf(matrix-705, plain, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) | ( _u1081 != _u1082) )).
% 12.17/12.38 cnf(matrix-706, plain, ( ~class_Orderings_Oorder(_u1080) | ~c_Orderings_Oord__class_Oless__eq(_u1080, _u1081, _u1082) | ( _u1081 = _u1082) | c_Orderings_Oord__class_Oless(_u1080, _u1081, _u1082) )).
% 12.17/12.38 cnf(matrix-707, plain, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) | c_Orderings_Oord__class_Oless__eq(_u1083, _u1084, _u1085) )).
% 12.17/12.38 cnf(matrix-708, plain, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) | ~c_Orderings_Oord__class_Oless__eq(_u1083, _u1085, _u1084) )).
% 12.17/12.38 cnf(matrix-709, plain, ( ~class_Orderings_Opreorder(_u1083) | ~c_Orderings_Oord__class_Oless__eq(_u1083, _u1084, _u1085) | c_Orderings_Oord__class_Oless__eq(_u1083, _u1085, _u1084) | c_Orderings_Oord__class_Oless(_u1083, _u1084, _u1085) )).
% 12.17/12.38 cnf(matrix-710, plain, ( ~class_Orderings_Oorder(_u1086) | ~c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) | ( _u1087 = _u1088) )).
% 12.17/12.38 cnf(matrix-711, plain, ( ~class_Orderings_Oorder(_u1086) | c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | ~c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) )).
% 12.17/12.38 cnf(matrix-712, plain, ( ~class_Orderings_Oorder(_u1086) | c_Orderings_Oord__class_Oless__eq(_u1086, _u1087, _u1088) | ( _u1087 != _u1088) )).
% 12.17/12.38 cnf(matrix-713, plain, ( ~class_Orderings_Olinorder(_u1089) | c_Orderings_Oord__class_Oless(_u1089, _u1090, _u1091) | c_Orderings_Oord__class_Oless__eq(_u1089, _u1091, _u1090) )).
% 12.17/12.38 cnf(matrix-714, plain, ( ~class_Orderings_Olinorder(_u1092) | c_Orderings_Oord__class_Oless__eq(_u1092, _u1093, _u1094) | c_Orderings_Oord__class_Oless(_u1092, _u1094, _u1093) )).
% 12.17/12.38 cnf(matrix-715, plain, ( ~class_Orderings_Olinorder(_u1095) | c_Orderings_Oord__class_Oless(_u1095, _u1096, _u1097) | ~c_Orderings_Oord__class_Oless__eq(_u1095, _u1096, _u1097) | ( _u1096 = _u1097) )).
% 12.17/12.38 cnf(matrix-716, plain, ( ~class_Orderings_Olinorder(_u1095) | c_Orderings_Oord__class_Oless(_u1095, _u1096, _u1097) | ( _u1096 != _u1097) | c_Orderings_Oord__class_Oless__eq(_u1095, _u1096, _u1097) )).
% 12.17/12.38 cnf(matrix-717, plain, ( ~class_Orderings_Oorder(_u1098) | ( _u1099 = _u1100) | ~c_Orderings_Oord__class_Oless__eq(_u1098, _u1099, _u1100) | c_Orderings_Oord__class_Oless(_u1098, _u1099, _u1100) )).
% 12.17/12.38 cnf(matrix-718, plain, ( ~class_Orderings_Oorder(_u1101) | ( _u1102 = _u1103) | ~c_Orderings_Oord__class_Oless__eq(_u1101, _u1103, _u1102) | c_Orderings_Oord__class_Oless(_u1101, _u1103, _u1102) )).
% 12.17/12.38 cnf(matrix-719, plain, ( ~class_Orderings_Olinorder(_u1104) | ~c_Orderings_Oord__class_Oless__eq(_u1104, _u1105, _u1106) | ~c_Orderings_Oord__class_Oless(_u1104, _u1106, _u1105) )).
% 12.17/12.38 cnf(matrix-720, plain, ( ~class_Orderings_Opreorder(_u1107) | ~c_Orderings_Oord__class_Oless(_u1107, _u1108, _u1109) | c_Orderings_Oord__class_Oless__eq(_u1107, _u1108, _u1109) )).
% 12.17/12.38 cnf(matrix-721, plain, ( ~class_Orderings_Olinorder(_u1110) | ~c_Orderings_Oord__class_Oless__eq(_u1110, _u1111, _u1112) | c_Orderings_Oord__class_Oless(_u1110, _u1111, _u1112) | ( _u1111 = _u1112) )).
% 12.17/12.38 cnf(matrix-722, plain, ( ~class_Orderings_Olinorder(_u1110) | ~c_Orderings_Oord__class_Oless__eq(_u1110, _u1111, _u1112) | ( _u1111 != _u1112) | ~c_Orderings_Oord__class_Oless(_u1110, _u1111, _u1112) )).
% 12.17/12.38 cnf(matrix-723, plain, ( ~class_Orderings_Oorder(_u1113) | ~c_Orderings_Oord__class_Oless__eq(_u1113, _u1114, _u1115) | c_Orderings_Oord__class_Oless(_u1113, _u1114, _u1115) | ( _u1114 = _u1115) )).
% 12.17/12.38 cnf(matrix-724, plain, ( ~class_Orderings_Oorder(_u1116) | ~c_Orderings_Oord__class_Oless__eq(_u1116, _u1117, _u1118) | ( _u1117 = _u1118) | c_Orderings_Oord__class_Oless(_u1116, _u1117, _u1118) )).
% 12.17/12.38 cnf(matrix-725, plain, ( ~class_Orderings_Oorder(_u1119) | ~c_Orderings_Oord__class_Oless__eq(_u1119, _u1120, _u1121) | ( _u1121 = _u1120) | c_Orderings_Oord__class_Oless(_u1119, _u1120, _u1121) )).
% 12.17/12.38 cnf(matrix-726, plain, ( ~class_Orderings_Opreorder(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1124) | ~c_Orderings_Oord__class_Oless__eq(_u1122, _u1124, _u1125) | c_Orderings_Oord__class_Oless(_u1122, _u1123, _u1125) )).
% 12.17/12.38 cnf(matrix-727, plain, ( ~class_Orderings_Oorder(_u1126) | ~c_Orderings_Oord__class_Oless(_u1126, _u1127, _u1128) | ~c_Orderings_Oord__class_Oless__eq(_u1126, _u1129, _u1127) | c_Orderings_Oord__class_Oless(_u1126, _u1129, _u1128) )).
% 12.17/12.38 cnf(matrix-728, plain, ( ~class_Orderings_Opreorder(_u1130) | ~c_Orderings_Oord__class_Oless__eq(_u1130, _u1131, _u1132) | ~c_Orderings_Oord__class_Oless(_u1130, _u1132, _u1133) | c_Orderings_Oord__class_Oless(_u1130, _u1131, _u1133) )).
% 12.17/12.38 cnf(matrix-729, plain, ( ~class_Orderings_Oorder(_u1134) | ~c_Orderings_Oord__class_Oless__eq(_u1134, _u1135, _u1136) | ~c_Orderings_Oord__class_Oless(_u1134, _u1137, _u1135) | c_Orderings_Oord__class_Oless(_u1134, _u1137, _u1136) )).
% 12.17/12.38 cnf(matrix-730, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1138, _u1139) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1138, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1139, _u1140)) )).
% 12.17/12.38 cnf(matrix-731, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1141, _u1142) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1141, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1143, _u1142)) )).
% 12.17/12.38 cnf(matrix-732, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1144, _u1145) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1144, _u1145) )).
% 12.17/12.38 cnf(matrix-733, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1146, _u1147) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1146, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1147, _u1148)) )).
% 12.17/12.38 cnf(matrix-734, plain, ( ~class_Groups_Ozero(_u1149) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u1149, _u1150) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1150 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1149))) )).
% 12.17/12.38 cnf(matrix-735, plain, ( ~class_Groups_Ozero(_u1149) | ( _u1150 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1149))) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(_u1149, _u1150) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-736, plain, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) != c_Groups_Ozero__class_Ozero(_u1151)) | ( _u1152 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1151))) | ( c_Polynomial_Oorder(_u1151, _u1153, _u1152) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-737, plain, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) = c_Groups_Ozero__class_Ozero(_u1151)) | ( _u1152 != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u1151))) )).
% 12.17/12.38 cnf(matrix-738, plain, ( ~class_Rings_Oidom(_u1151) | ( hAPP(c_Polynomial_Opoly(_u1151, _u1152), _u1153) = c_Groups_Ozero__class_Ozero(_u1151)) | ( c_Polynomial_Oorder(_u1151, _u1153, _u1152) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-739, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1158, _u1160) | ( _u1160 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1158, skolem30(_u1160, _u1158))) )).
% 12.17/12.38 cnf(matrix-740, plain, ( ( _u1161 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1159, _u1155)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1159, _u1161) )).
% 12.17/12.38 cnf(matrix-741, plain, ( ~class_Orderings_Oorder(_u1166) | ~c_SEQ_Odecseq(_u1166, _u1167) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1163, _u1162) | c_Orderings_Oord__class_Oless__eq(_u1166, hAPP(_u1167, _u1162), hAPP(_u1167, _u1163)) )).
% 12.17/12.38 cnf(matrix-742, plain, ( ~class_Orderings_Oorder(_u1166) | c_SEQ_Odecseq(_u1166, _u1167) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem31(_u1167, _u1166), skolem32(_u1167, _u1166)) )).
% 12.17/12.38 cnf(matrix-743, plain, ( ~class_Orderings_Oorder(_u1166) | c_SEQ_Odecseq(_u1166, _u1167) | ~c_Orderings_Oord__class_Oless__eq(_u1166, hAPP(_u1167, skolem32(_u1167, _u1166)), hAPP(_u1167, skolem31(_u1167, _u1166))) )).
% 12.17/12.38 cnf(matrix-744, plain, ( ~class_Lattices_Oboolean__algebra(_u1168) | ~c_Orderings_Oord__class_Oless__eq(_u1168, c_Groups_Ouminus__class_Ouminus(_u1168, _u1169), c_Groups_Ouminus__class_Ouminus(_u1168, _u1170)) | c_Orderings_Oord__class_Oless__eq(_u1168, _u1170, _u1169) )).
% 12.17/12.38 cnf(matrix-745, plain, ( ~class_Lattices_Oboolean__algebra(_u1168) | ~c_Orderings_Oord__class_Oless__eq(_u1168, _u1170, _u1169) | c_Orderings_Oord__class_Oless__eq(_u1168, c_Groups_Ouminus__class_Ouminus(_u1168, _u1169), c_Groups_Ouminus__class_Ouminus(_u1168, _u1170)) )).
% 12.17/12.38 cnf(matrix-746, plain, ( ~class_Lattices_Oboolean__algebra(_u1171) | ~c_Orderings_Oord__class_Oless__eq(_u1171, _u1172, _u1173) | c_Orderings_Oord__class_Oless__eq(_u1171, c_Groups_Ouminus__class_Ouminus(_u1171, _u1173), c_Groups_Ouminus__class_Ouminus(_u1171, _u1172)) )).
% 12.17/12.38 cnf(matrix-747, plain, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1176, _u1177) )).
% 12.17/12.38 cnf(matrix-748, plain, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1177, _u1176) )).
% 12.17/12.38 cnf(matrix-749, plain, ( ~class_Orderings_Oord(_u1174) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1176, _u1177) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u1175, _u1174), _u1177, _u1176) | c_Orderings_Oord__class_Oless(tc_fun(_u1175, _u1174), _u1176, _u1177) )).
% 12.17/12.38 cnf(matrix-750, plain, ( ~class_Lattices_Oboolean__algebra(_u1178) | ( c_Groups_Ouminus__class_Ouminus(_u1178, _u1179) != c_Groups_Ouminus__class_Ouminus(_u1178, _u1180)) | ( _u1179 = _u1180) )).
% 12.17/12.38 cnf(matrix-751, plain, ( ~class_Lattices_Oboolean__algebra(_u1178) | ( _u1179 != _u1180) | ( c_Groups_Ouminus__class_Ouminus(_u1178, _u1179) = c_Groups_Ouminus__class_Ouminus(_u1178, _u1180)) )).
% 12.17/12.38 cnf(matrix-752, plain, ( ~class_Groups_Ouminus(_u1181) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1182, _u1181), _u1183), _u1184) = c_Groups_Ouminus__class_Ouminus(_u1181, hAPP(_u1183, _u1184))) )).
% 12.17/12.38 cnf(matrix-753, plain, ( ~class_Lattices_Oboolean__algebra(_u1185) | ( c_Groups_Ouminus__class_Ouminus(_u1185, c_Groups_Ouminus__class_Ouminus(_u1185, _u1186)) = _u1186) )).
% 12.17/12.38 cnf(matrix-754, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1187) | ( _u1188 != c_Groups_Oplus__class_Oplus(_u1187, _u1188, _u1189)) | ( _u1189 = c_Groups_Ozero__class_Ozero(_u1187)) )).
% 12.17/12.38 cnf(matrix-755, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1187) | ( _u1189 != c_Groups_Ozero__class_Ozero(_u1187)) | ( _u1188 = c_Groups_Oplus__class_Oplus(_u1187, _u1188, _u1189)) )).
% 12.17/12.38 cnf(matrix-756, plain, ( ~class_Rings_Ocomm__semiring__1(_u1190) | ( c_Groups_Oplus__class_Oplus(_u1190, _u1191, c_Groups_Ozero__class_Ozero(_u1190)) = _u1191) )).
% 12.17/12.38 cnf(matrix-757, plain, ( ~class_Rings_Ocomm__semiring__1(_u1192) | ( c_Groups_Oplus__class_Oplus(_u1192, c_Groups_Ozero__class_Ozero(_u1192), _u1193) = _u1193) )).
% 12.17/12.38 cnf(matrix-758, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1194), _u1195) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1195, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1194), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatceiling(_u1195) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1194, c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-759, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem33(_u1199, _u1198)) )).
% 12.17/12.38 cnf(matrix-760, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, _u1196), _u1198) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, _u1199), _u1196)), skolem33(_u1199, _u1198)) )).
% 12.17/12.38 cnf(matrix-761, plain, ( ( c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat, _u1200)) = _u1200) )).
% 12.17/12.38 cnf(matrix-762, plain, ( ( c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-763, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatceiling(_u1201)) )).
% 12.17/12.38 cnf(matrix-764, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1202, _u1203) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1202), c_RComplete_Onatceiling(_u1203)) )).
% 12.17/12.38 cnf(matrix-765, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1204, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatceiling(_u1204))) )).
% 12.17/12.38 cnf(matrix-766, plain, ( ( c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-767, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1205, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatceiling(_u1205) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-768, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1206, c_RealDef_Oreal(tc_Nat_Onat, _u1207)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1206), _u1207) )).
% 12.17/12.38 cnf(matrix-769, plain, ( ~class_Rings_Ocomm__semiring__1(_u1208) | ( c_Groups_Oplus__class_Oplus(_u1208, _u1209, _u1210) = c_Groups_Oplus__class_Oplus(_u1208, _u1210, _u1209)) )).
% 12.17/12.38 cnf(matrix-770, plain, ( ~class_Rings_Ocomm__semiring__1(_u1211) | ( c_Groups_Oplus__class_Oplus(_u1211, _u1212, c_Groups_Oplus__class_Oplus(_u1211, _u1213, _u1214)) = c_Groups_Oplus__class_Oplus(_u1211, _u1213, c_Groups_Oplus__class_Oplus(_u1211, _u1212, _u1214))) )).
% 12.17/12.38 cnf(matrix-771, plain, ( ~class_Rings_Ocomm__semiring__1(_u1215) | ( c_Groups_Oplus__class_Oplus(_u1215, _u1216, c_Groups_Oplus__class_Oplus(_u1215, _u1217, _u1218)) = c_Groups_Oplus__class_Oplus(_u1215, c_Groups_Oplus__class_Oplus(_u1215, _u1216, _u1217), _u1218)) )).
% 12.17/12.38 cnf(matrix-772, plain, ( ~class_Rings_Ocomm__semiring__1(_u1219) | ( c_Groups_Oplus__class_Oplus(_u1219, c_Groups_Oplus__class_Oplus(_u1219, _u1220, _u1221), _u1222) = c_Groups_Oplus__class_Oplus(_u1219, _u1220, c_Groups_Oplus__class_Oplus(_u1219, _u1221, _u1222))) )).
% 12.17/12.38 cnf(matrix-773, plain, ( ~class_Rings_Ocomm__semiring__1(_u1223) | ( c_Groups_Oplus__class_Oplus(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1224, _u1225), _u1226) = c_Groups_Oplus__class_Oplus(_u1223, c_Groups_Oplus__class_Oplus(_u1223, _u1224, _u1226), _u1225)) )).
% 12.17/12.38 cnf(matrix-774, plain, ( ~class_Rings_Ocomm__semiring__1(_u1227) | ( c_Groups_Oplus__class_Oplus(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1229), c_Groups_Oplus__class_Oplus(_u1227, _u1230, _u1231)) = c_Groups_Oplus__class_Oplus(_u1227, c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1230), c_Groups_Oplus__class_Oplus(_u1227, _u1229, _u1231))) )).
% 12.17/12.38 cnf(matrix-775, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1232) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1232), _u1233) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1232, c_RealDef_Oreal(tc_Nat_Onat, _u1233)) )).
% 12.17/12.38 cnf(matrix-776, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1232) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1232, c_RealDef_Oreal(tc_Nat_Onat, _u1233)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1232), _u1233) )).
% 12.17/12.38 cnf(matrix-777, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1235), c_Groups_Oone__class_Oone(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1235, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.17/12.38 cnf(matrix-778, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1236, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatceiling(_u1236), c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-779, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1237, c_RealDef_Oreal(tc_Nat_Onat, _u1238))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u1237), _u1238)) )).
% 12.17/12.38 cnf(matrix-780, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1239, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatceiling(_u1239), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-781, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1240) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1240, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u1240), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-782, plain, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem34(_u1244, _u1243), _u1244) )).
% 12.17/12.38 cnf(matrix-783, plain, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1241, skolem34(_u1244, _u1243)) | ~hBOOL(hAPP(_u1243, _u1241)) )).
% 12.17/12.38 cnf(matrix-784, plain, ( hBOOL(hAPP(_u1243, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u1243, _u1244)) | hBOOL(hAPP(_u1243, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, skolem34(_u1244, _u1243), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 12.17/12.38 cnf(matrix-785, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, skolem35(_u1246)), _u1246) )).
% 12.17/12.38 cnf(matrix-786, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem35(_u1246)))) )).
% 12.17/12.38 cnf(matrix-787, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1247), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1248, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1247), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) | ( c_RComplete_Onatfloor(_u1248) = _u1247) )).
% 12.17/12.38 cnf(matrix-788, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u1249), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u1250) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1249, c_RealDef_Oreal(tc_Nat_Onat, _u1250)) )).
% 12.17/12.38 cnf(matrix-789, plain, ( ( c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat, _u1251)) = _u1251) )).
% 12.17/12.38 cnf(matrix-790, plain, ( ( c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-791, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_RComplete_Onatfloor(_u1252)) )).
% 12.17/12.38 cnf(matrix-792, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1253, _u1254) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_RComplete_Onatfloor(_u1253), c_RComplete_Onatfloor(_u1254)) )).
% 12.17/12.38 cnf(matrix-793, plain, ( ( c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-794, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1255, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_RComplete_Onatfloor(_u1255) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-795, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1256) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u1256)), _u1256) )).
% 12.17/12.38 cnf(matrix-796, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1257), _u1258) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1257, c_RComplete_Onatfloor(_u1258)) )).
% 12.17/12.38 cnf(matrix-797, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1259) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1260, c_RComplete_Onatfloor(_u1259)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1260), _u1259) )).
% 12.17/12.38 cnf(matrix-798, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1259) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1260), _u1259) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1260, c_RComplete_Onatfloor(_u1259)) )).
% 12.17/12.38 cnf(matrix-799, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u1262)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1262) )).
% 12.17/12.38 cnf(matrix-800, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1263) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_RComplete_Onatfloor(_u1263)) )).
% 12.17/12.38 cnf(matrix-801, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1264, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u1264)), c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 12.17/12.38 cnf(matrix-802, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1265) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1265, c_RealDef_Oreal(tc_Nat_Onat, _u1266)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_RComplete_Onatfloor(_u1265), _u1266) )).
% 12.17/12.38 cnf(matrix-803, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1267) | ( c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1267, c_RealDef_Oreal(tc_Nat_Onat, _u1268))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_RComplete_Onatfloor(_u1267), _u1268)) )).
% 12.17/12.38 cnf(matrix-804, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1269) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1270) | ( c_RComplete_Onatfloor(c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1269, c_RealDef_Oreal(tc_Nat_Onat, _u1270))) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_RComplete_Onatfloor(_u1269), _u1270)) )).
% 12.17/12.38 cnf(matrix-805, plain, ( ~class_RealVector_Oreal__normed__vector(_u1275) | ~c_SEQ_OBseq(_u1275, _u1276) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1275, hAPP(_u1276, _u1271)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem36(_u1276, _u1275)))) )).
% 12.17/12.38 cnf(matrix-806, plain, ( ~class_RealVector_Oreal__normed__vector(_u1275) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1275, hAPP(_u1276, skolem37(_u1276, _u1275, _u1274))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u1274))) | c_SEQ_OBseq(_u1275, _u1276) )).
% 12.17/12.38 cnf(matrix-807, plain, ( ~class_RealVector_Oreal__normed__vector(_u1281) | ~c_SEQ_OBseq(_u1281, _u1282) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1281, hAPP(_u1282, _u1277)), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem38(_u1282, _u1281)))) )).
% 12.17/12.38 cnf(matrix-808, plain, ( ~class_RealVector_Oreal__normed__vector(_u1281) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1281, hAPP(_u1282, skolem39(_u1282, _u1281, _u1280))), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(_u1280))) | c_SEQ_OBseq(_u1281, _u1282) )).
% 12.17/12.38 cnf(matrix-809, plain, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_SEQ_OBseq(_u1287, _u1288) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem40(_u1288, _u1287)) )).
% 12.17/12.38 cnf(matrix-810, plain, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_SEQ_OBseq(_u1287, _u1288) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1287, hAPP(_u1288, _u1283)), skolem40(_u1288, _u1287)) )).
% 12.17/12.38 cnf(matrix-811, plain, ( ~class_RealVector_Oreal__normed__vector(_u1287) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1286) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1287, hAPP(_u1288, skolem41(_u1288, _u1287, _u1286))), _u1286) | c_SEQ_OBseq(_u1287, _u1288) )).
% 12.17/12.38 cnf(matrix-812, plain, ( ~class_Orderings_Oorder(_u1293) | ~c_SEQ_Oincseq(_u1293, _u1294) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1290, _u1289) | c_Orderings_Oord__class_Oless__eq(_u1293, hAPP(_u1294, _u1290), hAPP(_u1294, _u1289)) )).
% 12.17/12.38 cnf(matrix-813, plain, ( ~class_Orderings_Oorder(_u1293) | c_SEQ_Oincseq(_u1293, _u1294) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, skolem42(_u1294, _u1293), skolem43(_u1294, _u1293)) )).
% 12.17/12.38 cnf(matrix-814, plain, ( ~class_Orderings_Oorder(_u1293) | c_SEQ_Oincseq(_u1293, _u1294) | ~c_Orderings_Oord__class_Oless__eq(_u1293, hAPP(_u1294, skolem42(_u1294, _u1293)), hAPP(_u1294, skolem43(_u1294, _u1293))) )).
% 12.17/12.38 cnf(matrix-815, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1295, _u1296)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1295), c_RealDef_Oreal(tc_Nat_Onat, _u1296))) )).
% 12.17/12.38 cnf(matrix-816, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u1297) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1298) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1298, _u1297), _u1298) )).
% 12.17/12.38 cnf(matrix-817, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1299) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1301, _u1300), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1301, _u1299)) )).
% 12.17/12.38 cnf(matrix-818, plain, ( ~class_Divides_Osemiring__div(_u1302) | ( _u1303 = c_Groups_Ozero__class_Ozero(_u1302)) | ( c_Divides_Odiv__class_Odiv(_u1302, c_Groups_Oplus__class_Oplus(_u1302, _u1304, _u1303), _u1303) = c_Groups_Oplus__class_Oplus(_u1302, c_Divides_Odiv__class_Odiv(_u1302, _u1304, _u1303), c_Groups_Oone__class_Oone(_u1302))) )).
% 12.17/12.38 cnf(matrix-819, plain, ( ~class_Divides_Osemiring__div(_u1305) | ( _u1306 = c_Groups_Ozero__class_Ozero(_u1305)) | ( c_Divides_Odiv__class_Odiv(_u1305, c_Groups_Oplus__class_Oplus(_u1305, _u1306, _u1307), _u1306) = c_Groups_Oplus__class_Oplus(_u1305, c_Divides_Odiv__class_Odiv(_u1305, _u1307, _u1306), c_Groups_Oone__class_Oone(_u1305))) )).
% 12.17/12.38 cnf(matrix-820, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1308, _u1309) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1308, _u1309) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-821, plain, ( ~class_Fields_Ofield(_u1310) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1310), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1310), _u1311), _u1312) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1310), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1310), _u1311, _u1312))) )).
% 12.17/12.38 cnf(matrix-822, plain, ( ~class_Fields_Ofield(_u1313) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1313), _u1314, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1313), _u1315)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u1313), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u1313), _u1314, _u1315))) )).
% 12.17/12.38 cnf(matrix-823, plain, ( ~class_Divides_Osemiring__div(_u1316) | ( c_Divides_Odiv__class_Odiv(_u1316, c_Groups_Ozero__class_Ozero(_u1316), _u1317) = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 12.17/12.38 cnf(matrix-824, plain, ( ~class_Divides_Osemiring__div(_u1318) | ( c_Divides_Odiv__class_Odiv(_u1318, _u1319, c_Groups_Ozero__class_Ozero(_u1318)) = c_Groups_Ozero__class_Ozero(_u1318)) )).
% 12.17/12.38 cnf(matrix-825, plain, ( ~class_Divides_Osemiring__div(_u1320) | ( c_Divides_Odiv__class_Odiv(_u1320, _u1321, c_Groups_Oone__class_Oone(_u1320)) = _u1321) )).
% 12.17/12.38 cnf(matrix-826, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1322, _u1323) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1322, _u1324), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1323, _u1324)) )).
% 12.17/12.38 cnf(matrix-827, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1325, _u1326), _u1325) )).
% 12.17/12.38 cnf(matrix-828, plain, ( ~class_Divides_Osemiring__div(_u1327) | ( _u1328 = c_Groups_Ozero__class_Ozero(_u1327)) | ( c_Divides_Odiv__class_Odiv(_u1327, _u1328, _u1328) = c_Groups_Oone__class_Oone(_u1327)) )).
% 12.17/12.38 cnf(matrix-829, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1329, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u1329) )).
% 12.17/12.38 cnf(matrix-830, plain, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_SEQ_OBseq(_u1336, _u1337) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem44(_u1337, _u1336)) )).
% 12.17/12.38 cnf(matrix-831, plain, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_SEQ_OBseq(_u1336, _u1337) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1336, c_Groups_Oplus__class_Oplus(_u1336, hAPP(_u1337, _u1330), c_Groups_Ouminus__class_Ouminus(_u1336, hAPP(_u1337, skolem45(_u1337, _u1336))))), skolem44(_u1337, _u1336)) )).
% 12.17/12.38 cnf(matrix-832, plain, ( ~class_RealVector_Oreal__normed__vector(_u1336) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1335) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1336, c_Groups_Oplus__class_Oplus(_u1336, hAPP(_u1337, skolem46(_u1337, _u1336, _u1335, _u1334)), c_Groups_Ouminus__class_Ouminus(_u1336, hAPP(_u1337, _u1334)))), _u1335) | c_SEQ_OBseq(_u1336, _u1337) )).
% 12.17/12.38 cnf(matrix-833, plain, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_SEQ_OBseq(_u1344, _u1345) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem47(_u1345, _u1344)) )).
% 12.17/12.38 cnf(matrix-834, plain, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_SEQ_OBseq(_u1344, _u1345) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1344, c_Groups_Oplus__class_Oplus(_u1344, hAPP(_u1345, _u1338), c_Groups_Ouminus__class_Ouminus(_u1344, skolem48(_u1345, _u1344)))), skolem47(_u1345, _u1344)) )).
% 12.17/12.38 cnf(matrix-835, plain, ( ~class_RealVector_Oreal__normed__vector(_u1344) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1343) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1344, c_Groups_Oplus__class_Oplus(_u1344, hAPP(_u1345, skolem49(_u1345, _u1344, _u1343, _u1342)), c_Groups_Ouminus__class_Ouminus(_u1344, _u1342))), _u1343) | c_SEQ_OBseq(_u1344, _u1345) )).
% 12.17/12.38 cnf(matrix-836, plain, ( ~class_RealVector_Oreal__normed__vector(_u1347) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1348) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1347, hAPP(_u1349, skolem50(_u1349, _u1348, _u1347))), _u1348) | c_SEQ_OBseq(_u1347, _u1349) )).
% 12.17/12.38 cnf(matrix-837, plain, ( ~class_RealVector_Oreal__normed__vector(_u1352) | ~c_SEQ_OBseq(_u1352, _u1353) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem51(_u1353, _u1352)) )).
% 12.17/12.38 cnf(matrix-838, plain, ( ~class_RealVector_Oreal__normed__vector(_u1352) | ~c_SEQ_OBseq(_u1352, _u1353) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1352, hAPP(_u1353, _u1350)), skolem51(_u1353, _u1352)) )).
% 12.17/12.38 cnf(matrix-839, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1354) | ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, _u1355), c_RealDef_Oreal(tc_Nat_Onat, _u1354)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1355, _u1354)), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_RealDef_Oreal(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1355, _u1354)), c_RealDef_Oreal(tc_Nat_Onat, _u1354)))) )).
% 12.17/12.38 cnf(matrix-840, plain, ( ~class_RealVector_Oreal__normed__vector(_u1357) | c_SEQ_OBseq(_u1357, _u1359) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1358, skolem52(_u1360, _u1359, _u1358, _u1357)) )).
% 12.17/12.38 cnf(matrix-841, plain, ( ~class_RealVector_Oreal__normed__vector(_u1357) | c_SEQ_OBseq(_u1357, _u1359) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1357, hAPP(_u1359, skolem52(_u1360, _u1359, _u1358, _u1357))), _u1360) )).
% 12.17/12.38 cnf(matrix-842, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), skolem53(_u1370, _u1368, _u1366)), _u1368) )).
% 12.17/12.38 cnf(matrix-843, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), c_Nat_OSuc(skolem53(_u1370, _u1368, _u1366)))) )).
% 12.17/12.38 cnf(matrix-844, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | ( _u1370 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u1366, skolem53(_u1370, _u1368, _u1366))) )).
% 12.17/12.38 cnf(matrix-845, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), skolem53(_u1370, _u1368, _u1366)), _u1368) )).
% 12.17/12.38 cnf(matrix-846, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1368, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1370), c_Nat_OSuc(skolem53(_u1370, _u1368, _u1366)))) )).
% 12.17/12.38 cnf(matrix-847, plain, ( ~hBOOL(hAPP(_u1366, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1368, _u1370))) | hBOOL(hAPP(_u1366, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u1366, skolem53(_u1370, _u1368, _u1366))) )).
% 12.17/12.38 cnf(matrix-848, plain, ( hBOOL(hAPP(_u1367, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1369, _u1371))) | ( _u1371 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u1367, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-849, plain, ( hBOOL(hAPP(_u1367, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1369, _u1371))) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1371), _u1362), _u1369) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1369, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1371), c_Nat_OSuc(_u1362))) | ~hBOOL(hAPP(_u1367, _u1362)) )).
% 12.17/12.38 cnf(matrix-850, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), _u1374) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1374, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), c_Nat_OSuc(_u1373))) | ( _u1373 = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) )).
% 12.17/12.38 cnf(matrix-851, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ( _u1373 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), _u1373), _u1374) )).
% 12.17/12.38 cnf(matrix-852, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1372) | ( _u1373 != c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1374, _u1372)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1374, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1372), c_Nat_OSuc(_u1373))) )).
% 12.17/12.38 cnf(matrix-853, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1375, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1376), _u1377)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1375, _u1376), _u1377)) )).
% 12.17/12.38 cnf(matrix-854, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1378, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1379), _u1380)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1379), c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1378, _u1379), _u1380)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1378, _u1379))) )).
% 12.17/12.38 cnf(matrix-855, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), _u1382), _u1383) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1382, _u1383)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1381), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1382, _u1383)), _u1383))) )).
% 12.17/12.38 cnf(matrix-856, plain, ( ~class_Divides_Osemiring__div(_u1384) | ( c_Groups_Oplus__class_Oplus(_u1384, c_Divides_Odiv__class_Omod(_u1384, _u1385, _u1386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1384), c_Divides_Odiv__class_Odiv(_u1384, _u1385, _u1386)), _u1386)) = _u1385) )).
% 12.17/12.38 cnf(matrix-857, plain, ( ~class_Divides_Osemiring__div(_u1387) | ( c_Groups_Oplus__class_Oplus(_u1387, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1387), _u1388), c_Divides_Odiv__class_Odiv(_u1387, _u1389, _u1388)), c_Divides_Odiv__class_Omod(_u1387, _u1389, _u1388)) = _u1389) )).
% 12.17/12.38 cnf(matrix-858, plain, ( ~class_Divides_Osemiring__div(_u1390) | ( c_Groups_Oplus__class_Oplus(_u1390, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1390), c_Divides_Odiv__class_Odiv(_u1390, _u1391, _u1392)), _u1392), c_Divides_Odiv__class_Omod(_u1390, _u1391, _u1392)) = _u1391) )).
% 12.17/12.38 cnf(matrix-859, plain, ( ~class_Divides_Osemiring__div(_u1393) | ( c_Groups_Oplus__class_Oplus(_u1393, c_Groups_Oplus__class_Oplus(_u1393, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1393), _u1394), c_Divides_Odiv__class_Odiv(_u1393, _u1395, _u1394)), c_Divides_Odiv__class_Omod(_u1393, _u1395, _u1394)), _u1396) = c_Groups_Oplus__class_Oplus(_u1393, _u1395, _u1396)) )).
% 12.17/12.38 cnf(matrix-860, plain, ( ~class_Divides_Osemiring__div(_u1397) | ( c_Groups_Oplus__class_Oplus(_u1397, c_Groups_Oplus__class_Oplus(_u1397, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1397), c_Divides_Odiv__class_Odiv(_u1397, _u1398, _u1399)), _u1399), c_Divides_Odiv__class_Omod(_u1397, _u1398, _u1399)), _u1400) = c_Groups_Oplus__class_Oplus(_u1397, _u1398, _u1400)) )).
% 12.17/12.38 cnf(matrix-861, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1401) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, _u1402), _u1403) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, _u1404), _u1405) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1401, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1401), _u1402), _u1404)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u1403), _u1405)) )).
% 12.17/12.38 cnf(matrix-862, plain, ( ~class_Rings_Ocomm__semiring__1(_u1406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1407), _u1408)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1409), _u1410)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1407), _u1409)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1406), _u1408), _u1410))) )).
% 12.17/12.38 cnf(matrix-863, plain, ( ~class_Rings_Ocomm__semiring__1(_u1411) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1412), _u1413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1414), _u1415)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1411), _u1412), _u1413)), _u1415))) )).
% 12.17/12.38 cnf(matrix-864, plain, ( ~class_Rings_Ocomm__semiring__1(_u1416) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1417), _u1418)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1419), _u1420)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1417), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1416), _u1419), _u1420)))) )).
% 12.17/12.38 cnf(matrix-865, plain, ( ~class_Rings_Ocomm__semiring__1(_u1421) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), _u1422), _u1423)), _u1424) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1421), _u1422), _u1424)), _u1423)) )).
% 12.17/12.38 cnf(matrix-866, plain, ( ~class_Rings_Ocomm__semiring__1(_u1425) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1426), _u1427)), _u1428) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1425), _u1427), _u1428))) )).
% 12.17/12.38 cnf(matrix-867, plain, ( ~class_Rings_Ocomm__semiring__1(_u1429) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1431), _u1432)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1429), _u1430), _u1431)), _u1432)) )).
% 12.17/12.38 cnf(matrix-868, plain, ( ~class_Rings_Ocomm__semiring__1(_u1433) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1434), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1435), _u1436)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1433), _u1434), _u1436))) )).
% 12.17/12.38 cnf(matrix-869, plain, ( ~class_Rings_Ocomm__semiring__1(_u1437) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1438), _u1439) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1437), _u1439), _u1438)) )).
% 12.17/12.38 cnf(matrix-870, plain, ( ~class_Rings_Ocomm__semiring__1(_u1440) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1440), c_Groups_Oone__class_Oone(_u1440)), _u1441) = _u1441) )).
% 12.17/12.38 cnf(matrix-871, plain, ( ~class_Rings_Ocomm__semiring__1(_u1442) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1442), _u1443), c_Groups_Oone__class_Oone(_u1442)) = _u1443) )).
% 12.17/12.38 cnf(matrix-872, plain, ( ~class_Rings_Ocomm__semiring__1(_u1444) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), c_Groups_Oplus__class_Oplus(_u1444, _u1446, _u1447)) = c_Groups_Oplus__class_Oplus(_u1444, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), _u1446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1444), _u1445), _u1447))) )).
% 12.17/12.38 cnf(matrix-873, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( _u1449 = _u1450) | ( _u1451 = _u1452) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) != c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) )).
% 12.17/12.38 cnf(matrix-874, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) | ( _u1449 != _u1450) )).
% 12.17/12.38 cnf(matrix-875, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1448) | ( c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1451), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1452)) = c_Groups_Oplus__class_Oplus(_u1448, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1449), _u1452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1448), _u1450), _u1451))) | ( _u1451 != _u1452) )).
% 12.17/12.38 cnf(matrix-876, plain, ( ~class_Rings_Ocomm__semiring__1(_u1453) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), c_Groups_Oplus__class_Oplus(_u1453, _u1454, _u1455)), _u1456) = c_Groups_Oplus__class_Oplus(_u1453, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), _u1454), _u1456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1453), _u1455), _u1456))) )).
% 12.17/12.38 cnf(matrix-877, plain, ( ~class_Rings_Ocomm__semiring__1(_u1457) | ( c_Groups_Oplus__class_Oplus(_u1457, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), _u1458), _u1459), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), _u1460), _u1459)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1457), c_Groups_Oplus__class_Oplus(_u1457, _u1458, _u1460)), _u1459)) )).
% 12.17/12.38 cnf(matrix-878, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) != c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1462 = _u1464) | ( _u1463 = _u1465) )).
% 12.17/12.38 cnf(matrix-879, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) = c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1462 != _u1464) )).
% 12.17/12.38 cnf(matrix-880, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1461) | ( c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1465)) = c_Groups_Oplus__class_Oplus(_u1461, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1462), _u1465), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1461), _u1464), _u1463))) | ( _u1463 != _u1465) )).
% 12.17/12.38 cnf(matrix-881, plain, ( ~class_Rings_Ocomm__semiring__1(_u1466) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1466), _u1467), c_Groups_Ozero__class_Ozero(_u1466)) = c_Groups_Ozero__class_Ozero(_u1466)) )).
% 12.17/12.38 cnf(matrix-882, plain, ( ~class_Rings_Ocomm__semiring__1(_u1468) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1468), c_Groups_Ozero__class_Ozero(_u1468)), _u1469) = c_Groups_Ozero__class_Ozero(_u1468)) )).
% 12.17/12.38 cnf(matrix-883, plain, ( ~class_Rings_Oring(_u1470) | ( c_Groups_Ouminus__class_Ouminus(_u1470, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1470), _u1471), _u1472)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1470), _u1471), c_Groups_Ouminus__class_Ouminus(_u1470, _u1472))) )).
% 12.17/12.38 cnf(matrix-884, plain, ( ~class_Rings_Oring(_u1473) | ( c_Groups_Ouminus__class_Ouminus(_u1473, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1473), _u1474), _u1475)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1473), c_Groups_Ouminus__class_Ouminus(_u1473, _u1474)), _u1475)) )).
% 12.17/12.38 cnf(matrix-885, plain, ( ~class_Rings_Oring(_u1476) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1476), c_Groups_Ouminus__class_Ouminus(_u1476, _u1477)), _u1478) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1476), _u1477), c_Groups_Ouminus__class_Ouminus(_u1476, _u1478))) )).
% 12.17/12.38 cnf(matrix-886, plain, ( ~class_Rings_Oring(_u1479) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), c_Groups_Ouminus__class_Ouminus(_u1479, _u1480)), c_Groups_Ouminus__class_Ouminus(_u1479, _u1481)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1479), _u1480), _u1481)) )).
% 12.17/12.38 cnf(matrix-887, plain, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 = _u1484) | ( _u1483 = c_Groups_Ouminus__class_Ouminus(_u1482, _u1484)) )).
% 12.17/12.38 cnf(matrix-888, plain, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 != _u1484) )).
% 12.17/12.38 cnf(matrix-889, plain, ( ~class_Rings_Oidom(_u1482) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1483), _u1483) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1482), _u1484), _u1484)) | ( _u1483 != c_Groups_Ouminus__class_Ouminus(_u1482, _u1484)) )).
% 12.17/12.38 cnf(matrix-890, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1485) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1485), _u1486), c_Groups_Ouminus__class_Ouminus(_u1485, _u1487)) = c_Groups_Ouminus__class_Ouminus(_u1485, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1485), _u1486), _u1487))) )).
% 12.17/12.38 cnf(matrix-891, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1488) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), c_Groups_Ouminus__class_Ouminus(_u1488, _u1490)) = c_Groups_Ouminus__class_Ouminus(_u1488, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1488), _u1489), _u1490))) )).
% 12.17/12.38 cnf(matrix-892, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1491) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1491), c_Groups_Ouminus__class_Ouminus(_u1491, _u1492)), _u1493) = c_Groups_Ouminus__class_Ouminus(_u1491, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1491), _u1492), _u1493))) )).
% 12.17/12.38 cnf(matrix-893, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1494) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), c_Groups_Ouminus__class_Ouminus(_u1494, _u1495)), _u1496) = c_Groups_Ouminus__class_Ouminus(_u1494, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1494), _u1495), _u1496))) )).
% 12.17/12.38 cnf(matrix-894, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1500), _u1502) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1504), _u1502)) | ( _u1500 = _u1504) | ( _u1502 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-895, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1501), _u1503) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1505), _u1503)) | ( _u1501 != _u1505) )).
% 12.17/12.38 cnf(matrix-896, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1501), _u1503) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1505), _u1503)) | ( _u1503 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-897, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1509), _u1511) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1509), _u1513)) | ( _u1511 = _u1513) | ( _u1509 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-898, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1512) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1514)) | ( _u1512 != _u1514) )).
% 12.17/12.38 cnf(matrix-899, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1512) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1510), _u1514)) | ( _u1510 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-900, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1517), _u1519) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1517 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1519 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-901, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1518), _u1520) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1518 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-902, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1518), _u1520) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1520 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-903, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1521), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-904, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1522) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-905, plain, ( ~class_Rings_Odivision__ring(_u1523) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1523), _u1524), c_Rings_Oinverse__class_Odivide(_u1523, _u1525, _u1526)) = c_Rings_Oinverse__class_Odivide(_u1523, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1523), _u1524), _u1525), _u1526)) )).
% 12.17/12.38 cnf(matrix-906, plain, ( ~class_Fields_Ofield__inverse__zero(_u1527) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), c_Rings_Oinverse__class_Odivide(_u1527, _u1528, _u1529)), c_Rings_Oinverse__class_Odivide(_u1527, _u1530, _u1531)) = c_Rings_Oinverse__class_Odivide(_u1527, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), _u1528), _u1530), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1527), _u1529), _u1531))) )).
% 12.17/12.38 cnf(matrix-907, plain, ( ~class_Rings_Ocomm__semiring__0(_u1532) | ( hAPP(c_Polynomial_Opoly(_u1532, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u1532)), _u1533), _u1534)), _u1535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1532), hAPP(c_Polynomial_Opoly(_u1532, _u1533), _u1535)), hAPP(c_Polynomial_Opoly(_u1532, _u1534), _u1535))) )).
% 12.17/12.38 cnf(matrix-908, plain, ( ~class_Groups_Oab__semigroup__mult(_u1536) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1537), _u1538)), _u1539) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1536), _u1538), _u1539))) )).
% 12.17/12.38 cnf(matrix-909, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u1540) | ( c_RealVector_Onorm__class_Onorm(_u1540, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1540), _u1541), _u1542)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u1540, _u1541)), c_RealVector_Onorm__class_Onorm(_u1540, _u1542))) )).
% 12.17/12.38 cnf(matrix-910, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1543), _u1544)), _u1545) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1543), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1544), _u1545))) )).
% 12.17/12.38 cnf(matrix-911, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1546), _u1547) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1547), _u1546)) )).
% 12.17/12.38 cnf(matrix-912, plain, ( ~class_Groups_Omonoid__mult(_u1548) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1548), c_Groups_Oone__class_Oone(_u1548)), _u1549) = _u1549) )).
% 12.17/12.38 cnf(matrix-913, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1550) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1550), c_Groups_Oone__class_Oone(_u1550)), _u1551) = _u1551) )).
% 12.17/12.38 cnf(matrix-914, plain, ( ~class_Groups_Omonoid__mult(_u1552) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1552), _u1553), c_Groups_Oone__class_Oone(_u1552)) = _u1553) )).
% 12.17/12.38 cnf(matrix-915, plain, ( ~class_Groups_Ocomm__monoid__mult(_u1554) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1554), _u1555), c_Groups_Oone__class_Oone(_u1554)) = _u1555) )).
% 12.17/12.38 cnf(matrix-916, plain, ( ~class_Rings_Ocomm__semiring(_u1556) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), c_Groups_Oplus__class_Oplus(_u1556, _u1557, _u1558)), _u1559) = c_Groups_Oplus__class_Oplus(_u1556, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), _u1557), _u1559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1556), _u1558), _u1559))) )).
% 12.17/12.38 cnf(matrix-917, plain, ( ~class_Rings_Osemiring(_u1560) | ( c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), _u1561), _u1562), c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), _u1563), _u1562), _u1564)) = c_Groups_Oplus__class_Oplus(_u1560, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1560), c_Groups_Oplus__class_Oplus(_u1560, _u1561, _u1563)), _u1562), _u1564)) )).
% 12.17/12.38 cnf(matrix-918, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1565) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), c_Groups_Oplus__class_Oplus(_u1565, _u1567, _u1568)) = c_Groups_Oplus__class_Oplus(_u1565, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), _u1567), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1565), _u1566), _u1568))) )).
% 12.17/12.38 cnf(matrix-919, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1569) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), c_Groups_Oplus__class_Oplus(_u1569, _u1571, _u1572)) = c_Groups_Oplus__class_Oplus(_u1569, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), _u1571), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1569), _u1570), _u1572))) )).
% 12.17/12.38 cnf(matrix-920, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1573) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), c_Groups_Oplus__class_Oplus(_u1573, _u1574, _u1575)), _u1576) = c_Groups_Oplus__class_Oplus(_u1573, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), _u1574), _u1576), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1573), _u1575), _u1576))) )).
% 12.17/12.38 cnf(matrix-921, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1577) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), c_Groups_Oplus__class_Oplus(_u1577, _u1578, _u1579)), _u1580) = c_Groups_Oplus__class_Oplus(_u1577, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), _u1578), _u1580), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1577), _u1579), _u1580))) )).
% 12.17/12.38 cnf(matrix-922, plain, ( ~class_Rings_Ono__zero__divisors(_u1581) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1581), _u1582), _u1583) != c_Groups_Ozero__class_Ozero(_u1581)) | ( _u1582 = c_Groups_Ozero__class_Ozero(_u1581)) | ( _u1583 = c_Groups_Ozero__class_Ozero(_u1581)) )).
% 12.17/12.38 cnf(matrix-923, plain, ( ~class_Rings_Ono__zero__divisors(_u1584) | ( _u1585 = c_Groups_Ozero__class_Ozero(_u1584)) | ( _u1586 = c_Groups_Ozero__class_Ozero(_u1584)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1584), _u1585), _u1586) != c_Groups_Ozero__class_Ozero(_u1584)) )).
% 12.17/12.38 cnf(matrix-924, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) != c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1588 = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1589 = c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.38 cnf(matrix-925, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1588 != c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.38 cnf(matrix-926, plain, ( ~class_Rings_Oring__no__zero__divisors(_u1587) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1587), _u1588), _u1589) = c_Groups_Ozero__class_Ozero(_u1587)) | ( _u1589 != c_Groups_Ozero__class_Ozero(_u1587)) )).
% 12.17/12.38 cnf(matrix-927, plain, ( ~class_Rings_Omult__zero(_u1590) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1590), _u1591), c_Groups_Ozero__class_Ozero(_u1590)) = c_Groups_Ozero__class_Ozero(_u1590)) )).
% 12.17/12.38 cnf(matrix-928, plain, ( ~class_Rings_Omult__zero(_u1592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1592), c_Groups_Ozero__class_Ozero(_u1592)), _u1593) = c_Groups_Ozero__class_Ozero(_u1592)) )).
% 12.17/12.38 cnf(matrix-929, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1594) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1594), _u1595), c_Groups_Ozero__class_Ozero(_u1594)) = c_Groups_Ozero__class_Ozero(_u1594)) )).
% 12.17/12.38 cnf(matrix-930, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1596) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1596), _u1597), c_Groups_Ozero__class_Ozero(_u1596)) = c_Groups_Ozero__class_Ozero(_u1596)) )).
% 12.17/12.38 cnf(matrix-931, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1598) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1598), c_Groups_Ozero__class_Ozero(_u1598)), _u1599) = c_Groups_Ozero__class_Ozero(_u1598)) )).
% 12.17/12.38 cnf(matrix-932, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1600) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1600), c_Groups_Ozero__class_Ozero(_u1600)), _u1601) = c_Groups_Ozero__class_Ozero(_u1600)) )).
% 12.17/12.38 cnf(matrix-933, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1602) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u1602, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1602), _u1603), _u1604)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u1602, _u1603)), c_RealVector_Onorm__class_Onorm(_u1602, _u1604))) )).
% 12.17/12.38 cnf(matrix-934, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1605) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), _u1607)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1605), _u1606), _u1607)) )).
% 12.17/12.38 cnf(matrix-935, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1608) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1608), _u1609), _u1609) = _u1609) )).
% 12.17/12.38 cnf(matrix-936, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u1610) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1610), _u1611), _u1611) = _u1611) )).
% 12.17/12.38 cnf(matrix-937, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u1612) = _u1612) )).
% 12.17/12.38 cnf(matrix-938, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1615), _u1617)) | ( _u1615 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-939, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1615), _u1617)) | ( _u1617 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-940, plain, ( ( _u1616 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1618 != 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), _u1616), _u1618)) )).
% 12.17/12.38 cnf(matrix-941, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1619), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u1619) )).
% 12.17/12.38 cnf(matrix-942, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1622), _u1624) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1622 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-943, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1622), _u1624) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1624 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-944, plain, ( ( _u1623 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u1625 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1623), _u1625) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-945, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1626, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1626), _u1626)) )).
% 12.17/12.38 cnf(matrix-946, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1627, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1627), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1627), _u1627))) )).
% 12.17/12.38 cnf(matrix-947, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1628, _u1629) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1628), _u1630), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1629), _u1630)) )).
% 12.17/12.38 cnf(matrix-948, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1631, _u1632) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1633), _u1631), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1633), _u1632)) )).
% 12.17/12.38 cnf(matrix-949, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1634, _u1635) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1636, _u1637) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1634), _u1636), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1635), _u1637)) )).
% 12.17/12.38 cnf(matrix-950, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1639, _u1640)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), _u1639), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1638), _u1640))) )).
% 12.17/12.38 cnf(matrix-951, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1641, _u1642)), _u1643) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1641), _u1643), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1642), _u1643))) )).
% 12.17/12.38 cnf(matrix-952, plain, ( ( _u1649 = _u1651) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1647)), _u1649) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1647)), _u1651)) )).
% 12.17/12.38 cnf(matrix-953, plain, ( ( _u1650 != _u1652) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1648)), _u1650) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u1648)), _u1652)) )).
% 12.17/12.38 cnf(matrix-954, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1653, _u1654), _u1653) )).
% 12.17/12.38 cnf(matrix-955, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1655), _u1656) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1655, _u1656)), _u1656)) )).
% 12.17/12.38 cnf(matrix-956, plain, ( ~class_Divides_Osemiring__div(_u1657) | ( c_Divides_Odiv__class_Omod(_u1657, _u1658, _u1659) != c_Divides_Odiv__class_Omod(_u1657, _u1660, _u1659)) | ( c_Divides_Odiv__class_Omod(_u1657, _u1661, _u1659) != c_Divides_Odiv__class_Omod(_u1657, _u1662, _u1659)) | ( c_Divides_Odiv__class_Omod(_u1657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1658), _u1661), _u1659) = c_Divides_Odiv__class_Omod(_u1657, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1657), _u1660), _u1662), _u1659)) )).
% 12.17/12.38 cnf(matrix-957, plain, ( ~class_Divides_Osemiring__div(_u1663) | ( c_Divides_Odiv__class_Omod(_u1663, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), c_Divides_Odiv__class_Omod(_u1663, _u1664, _u1665)), _u1666), _u1665) = c_Divides_Odiv__class_Omod(_u1663, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1663), _u1664), _u1666), _u1665)) )).
% 12.17/12.38 cnf(matrix-958, plain, ( ~class_Divides_Osemiring__div(_u1667) | ( c_Divides_Odiv__class_Omod(_u1667, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1668), _u1669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), _u1670), _u1669)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1667), c_Divides_Odiv__class_Omod(_u1667, _u1668, _u1670)), _u1669)) )).
% 12.17/12.38 cnf(matrix-959, plain, ( ~class_Divides_Osemiring__div(_u1671) | ( c_Divides_Odiv__class_Omod(_u1671, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), _u1673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), _u1674)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1671), _u1672), c_Divides_Odiv__class_Omod(_u1671, _u1673, _u1674))) )).
% 12.17/12.38 cnf(matrix-960, plain, ( ~class_Divides_Osemiring__div(_u1675) | ( c_Divides_Odiv__class_Omod(_u1675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1675), _u1676), _u1677), _u1678) = c_Divides_Odiv__class_Omod(_u1675, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1675), c_Divides_Odiv__class_Omod(_u1675, _u1676, _u1678)), c_Divides_Odiv__class_Omod(_u1675, _u1677, _u1678)), _u1678)) )).
% 12.17/12.38 cnf(matrix-961, plain, ( ~class_Divides_Osemiring__div(_u1679) | ( c_Divides_Odiv__class_Omod(_u1679, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1679), _u1680), _u1681), _u1682) = c_Divides_Odiv__class_Omod(_u1679, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1679), c_Divides_Odiv__class_Omod(_u1679, _u1680, _u1682)), _u1681), _u1682)) )).
% 12.17/12.38 cnf(matrix-962, plain, ( ~class_Divides_Osemiring__div(_u1683) | ( c_Divides_Odiv__class_Omod(_u1683, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1684), _u1685), _u1686) = c_Divides_Odiv__class_Omod(_u1683, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1683), _u1684), c_Divides_Odiv__class_Omod(_u1683, _u1685, _u1686)), _u1686)) )).
% 12.17/12.38 cnf(matrix-963, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1687, _u1688)), _u1689) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1687), _u1689), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1688), _u1689))) )).
% 12.17/12.38 cnf(matrix-964, plain, ( ~class_Divides_Osemiring__div(_u1690) | ( c_Divides_Odiv__class_Omod(_u1690, c_Divides_Odiv__class_Omod(_u1690, _u1691, _u1692), _u1692) = c_Divides_Odiv__class_Omod(_u1690, _u1691, _u1692)) )).
% 12.17/12.38 cnf(matrix-965, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1694, _u1695)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), _u1694), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1693), _u1695))) )).
% 12.17/12.38 cnf(matrix-966, plain, ( ~class_Divides_Osemiring__div(_u1696) | ( c_Divides_Odiv__class_Omod(_u1696, c_Groups_Oplus__class_Oplus(_u1696, _u1697, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1696), _u1698), _u1699)), _u1698) = c_Divides_Odiv__class_Omod(_u1696, _u1697, _u1698)) )).
% 12.17/12.38 cnf(matrix-967, plain, ( ~class_Divides_Osemiring__div(_u1700) | ( c_Divides_Odiv__class_Omod(_u1700, c_Groups_Oplus__class_Oplus(_u1700, _u1701, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1700), _u1702), _u1703)), _u1703) = c_Divides_Odiv__class_Omod(_u1700, _u1701, _u1703)) )).
% 12.17/12.38 cnf(matrix-968, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1704), _u1705), _u1706), _u1705) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1706, _u1705)) )).
% 12.17/12.38 cnf(matrix-969, plain, ( ~class_Divides_Osemiring__div(_u1707) | ( c_Divides_Odiv__class_Omod(_u1707, c_Groups_Oplus__class_Oplus(_u1707, _u1708, _u1709), _u1709) = c_Divides_Odiv__class_Omod(_u1707, _u1708, _u1709)) )).
% 12.17/12.38 cnf(matrix-970, plain, ( ~class_Divides_Osemiring__div(_u1710) | ( c_Divides_Odiv__class_Omod(_u1710, c_Groups_Oplus__class_Oplus(_u1710, _u1711, _u1712), _u1711) = c_Divides_Odiv__class_Omod(_u1710, _u1712, _u1711)) )).
% 12.17/12.38 cnf(matrix-971, plain, ( ~class_Divides_Osemiring__div(_u1713) | ( c_Divides_Odiv__class_Omod(_u1713, c_Groups_Oplus__class_Oplus(_u1713, _u1714, _u1715), _u1716) = c_Divides_Odiv__class_Omod(_u1713, c_Groups_Oplus__class_Oplus(_u1713, _u1714, c_Divides_Odiv__class_Omod(_u1713, _u1715, _u1716)), _u1716)) )).
% 12.17/12.38 cnf(matrix-972, plain, ( ~class_Divides_Osemiring__div(_u1717) | ( c_Divides_Odiv__class_Omod(_u1717, c_Groups_Oplus__class_Oplus(_u1717, _u1718, _u1719), _u1720) = c_Divides_Odiv__class_Omod(_u1717, c_Groups_Oplus__class_Oplus(_u1717, c_Divides_Odiv__class_Omod(_u1717, _u1718, _u1720), _u1719), _u1720)) )).
% 12.17/12.38 cnf(matrix-973, plain, ( ~class_Divides_Osemiring__div(_u1721) | ( c_Divides_Odiv__class_Omod(_u1721, c_Groups_Oplus__class_Oplus(_u1721, _u1722, _u1723), _u1724) = c_Divides_Odiv__class_Omod(_u1721, c_Groups_Oplus__class_Oplus(_u1721, c_Divides_Odiv__class_Omod(_u1721, _u1722, _u1724), c_Divides_Odiv__class_Omod(_u1721, _u1723, _u1724)), _u1724)) )).
% 12.17/12.38 cnf(matrix-974, plain, ( ~class_Divides_Osemiring__div(_u1725) | ( c_Divides_Odiv__class_Omod(_u1725, c_Groups_Oplus__class_Oplus(_u1725, _u1726, c_Divides_Odiv__class_Omod(_u1725, _u1727, _u1728)), _u1728) = c_Divides_Odiv__class_Omod(_u1725, c_Groups_Oplus__class_Oplus(_u1725, _u1726, _u1727), _u1728)) )).
% 12.17/12.38 cnf(matrix-975, plain, ( ~class_Divides_Osemiring__div(_u1729) | ( c_Divides_Odiv__class_Omod(_u1729, c_Groups_Oplus__class_Oplus(_u1729, c_Divides_Odiv__class_Omod(_u1729, _u1730, _u1731), _u1732), _u1731) = c_Divides_Odiv__class_Omod(_u1729, c_Groups_Oplus__class_Oplus(_u1729, _u1730, _u1732), _u1731)) )).
% 12.17/12.38 cnf(matrix-976, plain, ( ~class_Divides_Osemiring__div(_u1733) | ( c_Divides_Odiv__class_Omod(_u1733, _u1734, _u1735) != c_Divides_Odiv__class_Omod(_u1733, _u1736, _u1735)) | ( c_Divides_Odiv__class_Omod(_u1733, _u1737, _u1735) != c_Divides_Odiv__class_Omod(_u1733, _u1738, _u1735)) | ( c_Divides_Odiv__class_Omod(_u1733, c_Groups_Oplus__class_Oplus(_u1733, _u1734, _u1737), _u1735) = c_Divides_Odiv__class_Omod(_u1733, c_Groups_Oplus__class_Oplus(_u1733, _u1736, _u1738), _u1735)) )).
% 12.17/12.38 cnf(matrix-977, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1739), _u1740), _u1741)), _u1740) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1741), _u1740)) )).
% 12.17/12.38 cnf(matrix-978, plain, ( ~class_Divides_Osemiring__div(_u1742) | ( c_Divides_Odiv__class_Omod(_u1742, c_Groups_Ozero__class_Ozero(_u1742), _u1743) = c_Groups_Ozero__class_Ozero(_u1742)) )).
% 12.17/12.38 cnf(matrix-979, plain, ( ~class_Divides_Osemiring__div(_u1744) | ( c_Divides_Odiv__class_Omod(_u1744, _u1745, c_Groups_Ozero__class_Ozero(_u1744)) = _u1745) )).
% 12.17/12.38 cnf(matrix-980, plain, ( ~class_Divides_Osemiring__div(_u1746) | ( c_Divides_Odiv__class_Omod(_u1746, _u1747, _u1747) = c_Groups_Ozero__class_Ozero(_u1746)) )).
% 12.17/12.38 cnf(matrix-981, plain, ( ~class_Divides_Osemiring__div(_u1748) | ( c_Divides_Odiv__class_Omod(_u1748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1748), _u1749), _u1750), _u1749) = c_Groups_Ozero__class_Ozero(_u1748)) )).
% 12.17/12.38 cnf(matrix-982, plain, ( ~class_Divides_Osemiring__div(_u1751) | ( c_Divides_Odiv__class_Omod(_u1751, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1751), _u1752), _u1753), _u1753) = c_Groups_Ozero__class_Ozero(_u1751)) )).
% 12.17/12.38 cnf(matrix-983, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1758, _u1760) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1758 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1760), skolem54(_u1760, _u1758))) )).
% 12.17/12.38 cnf(matrix-984, plain, ( ( _u1759 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1761), _u1755)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1759, _u1761) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-985, plain, ( ~class_Divides_Oring__div(_u1762) | ( c_Divides_Odiv__class_Omod(_u1762, _u1763, _u1764) != c_Divides_Odiv__class_Omod(_u1762, _u1765, _u1764)) | ( c_Divides_Odiv__class_Omod(_u1762, c_Groups_Ouminus__class_Ouminus(_u1762, _u1763), _u1764) = c_Divides_Odiv__class_Omod(_u1762, c_Groups_Ouminus__class_Ouminus(_u1762, _u1765), _u1764)) )).
% 12.17/12.38 cnf(matrix-986, plain, ( ~class_Divides_Oring__div(_u1766) | ( c_Divides_Odiv__class_Omod(_u1766, c_Groups_Ouminus__class_Ouminus(_u1766, _u1767), _u1768) = c_Divides_Odiv__class_Omod(_u1766, c_Groups_Ouminus__class_Ouminus(_u1766, c_Divides_Odiv__class_Omod(_u1766, _u1767, _u1768)), _u1768)) )).
% 12.17/12.38 cnf(matrix-987, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1769, _u1770) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1769, _u1770) = _u1769) )).
% 12.17/12.38 cnf(matrix-988, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1771) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1772, _u1773) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1773), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1774, _u1771)), _u1772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1773), _u1771)) )).
% 12.17/12.38 cnf(matrix-989, plain, ( ~hBOOL(hAPP(_u1782, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1784, _u1786))) | ( _u1786 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u1782, _u1784)) )).
% 12.17/12.38 cnf(matrix-990, plain, ( ~hBOOL(hAPP(_u1782, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1784, _u1786))) | ( _u1786 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1775, _u1786) | ( _u1784 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1786), _u1776), _u1775)) | hBOOL(hAPP(_u1782, _u1775)) )).
% 12.17/12.38 cnf(matrix-991, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem56(_u1787, _u1785, _u1783), _u1787) )).
% 12.17/12.38 cnf(matrix-992, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1785 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1787), skolem55(_u1787, _u1785, _u1783)), skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.38 cnf(matrix-993, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ( _u1787 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u1783, skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.38 cnf(matrix-994, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ( _u1787 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-995, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem56(_u1787, _u1785, _u1783), _u1787) )).
% 12.17/12.38 cnf(matrix-996, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ( _u1785 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1787), skolem55(_u1787, _u1785, _u1783)), skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.38 cnf(matrix-997, plain, ( hBOOL(hAPP(_u1783, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1785, _u1787))) | ~hBOOL(hAPP(_u1783, _u1785)) | ~hBOOL(hAPP(_u1783, skolem56(_u1787, _u1785, _u1783))) )).
% 12.17/12.38 cnf(matrix-998, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u1788) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u1788), _u1789)), _u1788) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-999, plain, ( ~class_Divides_Osemiring__div(_u1790) | ( c_Divides_Odiv__class_Omod(_u1790, _u1791, c_Groups_Oone__class_Oone(_u1790)) = c_Groups_Ozero__class_Ozero(_u1790)) )).
% 12.17/12.38 cnf(matrix-1000, plain, ( ~class_Divides_Osemiring__div(_u1792) | ( c_Divides_Odiv__class_Odiv(_u1792, c_Divides_Odiv__class_Omod(_u1792, _u1793, _u1794), _u1794) = c_Groups_Ozero__class_Ozero(_u1792)) )).
% 12.17/12.38 cnf(matrix-1001, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1795, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-1002, plain, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1798, _u1800)) != _u1800) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1798), _u1800) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-1003, plain, ( ( c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1799, _u1801)) = _u1801) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(_u1799), _u1801) = c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1799, _u1801))) )).
% 12.17/12.38 cnf(matrix-1004, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1802) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1803, _u1802), _u1802) )).
% 12.17/12.38 cnf(matrix-1005, plain, ( ~class_Rings_Olinordered__ring(_u1804) | c_Orderings_Oord__class_Oless__eq(_u1804, c_Groups_Ozero__class_Ozero(_u1804), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1804), _u1805), _u1805)) )).
% 12.17/12.38 cnf(matrix-1006, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.38 cnf(matrix-1007, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.38 cnf(matrix-1008, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.38 cnf(matrix-1009, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) | c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.38 cnf(matrix-1010, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1807) | ~c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), _u1808) )).
% 12.17/12.38 cnf(matrix-1011, plain, ( ~class_Rings_Olinordered__ring__strict(_u1806) | c_Orderings_Oord__class_Oless__eq(_u1806, c_Groups_Ozero__class_Ozero(_u1806), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1806), _u1807), _u1808)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, _u1807, c_Groups_Ozero__class_Ozero(_u1806)) | ~c_Orderings_Oord__class_Oless__eq(_u1806, _u1808, c_Groups_Ozero__class_Ozero(_u1806)) )).
% 12.17/12.38 cnf(matrix-1012, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.38 cnf(matrix-1013, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.38 cnf(matrix-1014, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.38 cnf(matrix-1015, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | ~c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) | c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.38 cnf(matrix-1016, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1810) | ~c_Orderings_Oord__class_Oless__eq(_u1809, _u1811, c_Groups_Ozero__class_Ozero(_u1809)) )).
% 12.17/12.38 cnf(matrix-1017, plain, ( ~class_Rings_Olinordered__ring__strict(_u1809) | c_Orderings_Oord__class_Oless__eq(_u1809, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1809), _u1810), _u1811), c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, _u1810, c_Groups_Ozero__class_Ozero(_u1809)) | ~c_Orderings_Oord__class_Oless__eq(_u1809, c_Groups_Ozero__class_Ozero(_u1809), _u1811) )).
% 12.17/12.38 cnf(matrix-1018, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1812) | ~c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), _u1813) | ~c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), _u1814) | c_Orderings_Oord__class_Oless__eq(_u1812, c_Groups_Ozero__class_Ozero(_u1812), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1812), _u1813), _u1814)) )).
% 12.17/12.38 cnf(matrix-1019, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1815) | ~c_Orderings_Oord__class_Oless__eq(_u1815, c_Groups_Ozero__class_Ozero(_u1815), _u1816) | ~c_Orderings_Oord__class_Oless__eq(_u1815, _u1817, c_Groups_Ozero__class_Ozero(_u1815)) | c_Orderings_Oord__class_Oless__eq(_u1815, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1815), _u1816), _u1817), c_Groups_Ozero__class_Ozero(_u1815)) )).
% 12.17/12.38 cnf(matrix-1020, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1818) | ~c_Orderings_Oord__class_Oless__eq(_u1818, c_Groups_Ozero__class_Ozero(_u1818), _u1819) | ~c_Orderings_Oord__class_Oless__eq(_u1818, _u1820, c_Groups_Ozero__class_Ozero(_u1818)) | c_Orderings_Oord__class_Oless__eq(_u1818, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1818), _u1820), _u1819), c_Groups_Ozero__class_Ozero(_u1818)) )).
% 12.17/12.38 cnf(matrix-1021, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1821) | ~c_Orderings_Oord__class_Oless__eq(_u1821, _u1822, c_Groups_Ozero__class_Ozero(_u1821)) | ~c_Orderings_Oord__class_Oless__eq(_u1821, c_Groups_Ozero__class_Ozero(_u1821), _u1823) | c_Orderings_Oord__class_Oless__eq(_u1821, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1821), _u1822), _u1823), c_Groups_Ozero__class_Ozero(_u1821)) )).
% 12.17/12.38 cnf(matrix-1022, plain, ( ~class_Rings_Oordered__ring(_u1824) | ~c_Orderings_Oord__class_Oless__eq(_u1824, _u1825, c_Groups_Ozero__class_Ozero(_u1824)) | ~c_Orderings_Oord__class_Oless__eq(_u1824, _u1826, c_Groups_Ozero__class_Ozero(_u1824)) | c_Orderings_Oord__class_Oless__eq(_u1824, c_Groups_Ozero__class_Ozero(_u1824), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1824), _u1825), _u1826)) )).
% 12.17/12.38 cnf(matrix-1023, plain, ( ~class_Rings_Oordered__semiring(_u1827) | ~c_Orderings_Oord__class_Oless__eq(_u1827, _u1828, _u1829) | ~c_Orderings_Oord__class_Oless__eq(_u1827, c_Groups_Ozero__class_Ozero(_u1827), _u1830) | c_Orderings_Oord__class_Oless__eq(_u1827, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1828), _u1830), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1827), _u1829), _u1830)) )).
% 12.17/12.38 cnf(matrix-1024, plain, ( ~class_Rings_Oordered__semiring(_u1831) | ~c_Orderings_Oord__class_Oless__eq(_u1831, _u1832, _u1833) | ~c_Orderings_Oord__class_Oless__eq(_u1831, c_Groups_Ozero__class_Ozero(_u1831), _u1834) | c_Orderings_Oord__class_Oless__eq(_u1831, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1831), _u1834), _u1832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1831), _u1834), _u1833)) )).
% 12.17/12.38 cnf(matrix-1025, plain, ( ~class_Rings_Oordered__comm__semiring(_u1835) | ~c_Orderings_Oord__class_Oless__eq(_u1835, _u1836, _u1837) | ~c_Orderings_Oord__class_Oless__eq(_u1835, c_Groups_Ozero__class_Ozero(_u1835), _u1838) | c_Orderings_Oord__class_Oless__eq(_u1835, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1838), _u1836), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1835), _u1838), _u1837)) )).
% 12.17/12.38 cnf(matrix-1026, plain, ( ~class_Rings_Oordered__ring(_u1839) | ~c_Orderings_Oord__class_Oless__eq(_u1839, _u1840, _u1841) | ~c_Orderings_Oord__class_Oless__eq(_u1839, _u1842, c_Groups_Ozero__class_Ozero(_u1839)) | c_Orderings_Oord__class_Oless__eq(_u1839, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1839), _u1841), _u1842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1839), _u1840), _u1842)) )).
% 12.17/12.38 cnf(matrix-1027, plain, ( ~class_Rings_Oordered__ring(_u1843) | ~c_Orderings_Oord__class_Oless__eq(_u1843, _u1844, _u1845) | ~c_Orderings_Oord__class_Oless__eq(_u1843, _u1846, c_Groups_Ozero__class_Ozero(_u1843)) | c_Orderings_Oord__class_Oless__eq(_u1843, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1843), _u1846), _u1845), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1843), _u1846), _u1844)) )).
% 12.17/12.38 cnf(matrix-1028, plain, ( ~class_Rings_Oordered__semiring(_u1847) | ~c_Orderings_Oord__class_Oless__eq(_u1847, _u1848, _u1849) | ~c_Orderings_Oord__class_Oless__eq(_u1847, _u1850, _u1851) | ~c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Ozero__class_Ozero(_u1847), _u1848) | ~c_Orderings_Oord__class_Oless__eq(_u1847, c_Groups_Ozero__class_Ozero(_u1847), _u1850) | c_Orderings_Oord__class_Oless__eq(_u1847, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1847), _u1848), _u1850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1847), _u1849), _u1851)) )).
% 12.17/12.38 cnf(matrix-1029, plain, ( ~class_Rings_Oordered__semiring(_u1852) | ~c_Orderings_Oord__class_Oless__eq(_u1852, _u1853, _u1854) | ~c_Orderings_Oord__class_Oless__eq(_u1852, _u1855, _u1856) | ~c_Orderings_Oord__class_Oless__eq(_u1852, c_Groups_Ozero__class_Ozero(_u1852), _u1854) | ~c_Orderings_Oord__class_Oless__eq(_u1852, c_Groups_Ozero__class_Ozero(_u1852), _u1855) | c_Orderings_Oord__class_Oless__eq(_u1852, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1853), _u1855), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1852), _u1854), _u1856)) )).
% 12.17/12.38 cnf(matrix-1030, plain, ( ~class_Rings_Oordered__ring(_u1857) | c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1857), _u1858), _u1859)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), _u1858) | ~c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), _u1859) )).
% 12.17/12.38 cnf(matrix-1031, plain, ( ~class_Rings_Oordered__ring(_u1857) | c_Orderings_Oord__class_Oless__eq(_u1857, c_Groups_Ozero__class_Ozero(_u1857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1857), _u1858), _u1859)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, _u1858, c_Groups_Ozero__class_Ozero(_u1857)) | ~c_Orderings_Oord__class_Oless__eq(_u1857, _u1859, c_Groups_Ozero__class_Ozero(_u1857)) )).
% 12.17/12.38 cnf(matrix-1032, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1860) | c_Orderings_Oord__class_Oless__eq(_u1860, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1861), _u1862), c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, c_Groups_Ozero__class_Ozero(_u1860), _u1861) | ~c_Orderings_Oord__class_Oless__eq(_u1860, _u1862, c_Groups_Ozero__class_Ozero(_u1860)) )).
% 12.17/12.38 cnf(matrix-1033, plain, ( ~class_Rings_Oordered__cancel__semiring(_u1860) | c_Orderings_Oord__class_Oless__eq(_u1860, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1860), _u1861), _u1862), c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, _u1861, c_Groups_Ozero__class_Ozero(_u1860)) | ~c_Orderings_Oord__class_Oless__eq(_u1860, c_Groups_Ozero__class_Ozero(_u1860), _u1862) )).
% 12.17/12.38 cnf(matrix-1034, plain, ( ~class_Rings_Olinordered__ring(_u1863) | ~c_Orderings_Oord__class_Oless(_u1863, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1863), _u1864), _u1864), c_Groups_Ozero__class_Ozero(_u1863)) )).
% 12.17/12.38 cnf(matrix-1035, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) )).
% 12.17/12.38 cnf(matrix-1036, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.38 cnf(matrix-1037, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) | c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) )).
% 12.17/12.38 cnf(matrix-1038, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | ~c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) | c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.38 cnf(matrix-1039, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | ~c_Orderings_Oord__class_Oless(_u1865, c_Groups_Ozero__class_Ozero(_u1865), _u1867) | ~c_Orderings_Oord__class_Oless(_u1865, _u1866, _u1868) )).
% 12.17/12.38 cnf(matrix-1040, plain, ( ~class_Rings_Olinordered__ring__strict(_u1865) | c_Orderings_Oord__class_Oless(_u1865, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1866), _u1867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1865), _u1868), _u1867)) | ~c_Orderings_Oord__class_Oless(_u1865, _u1867, c_Groups_Ozero__class_Ozero(_u1865)) | ~c_Orderings_Oord__class_Oless(_u1865, _u1868, _u1866) )).
% 12.17/12.38 cnf(matrix-1041, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) )).
% 12.17/12.38 cnf(matrix-1042, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.38 cnf(matrix-1043, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) | c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) )).
% 12.17/12.38 cnf(matrix-1044, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | ~c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) | c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.38 cnf(matrix-1045, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | ~c_Orderings_Oord__class_Oless(_u1869, c_Groups_Ozero__class_Ozero(_u1869), _u1870) | ~c_Orderings_Oord__class_Oless(_u1869, _u1871, _u1872) )).
% 12.17/12.38 cnf(matrix-1046, plain, ( ~class_Rings_Olinordered__ring__strict(_u1869) | c_Orderings_Oord__class_Oless(_u1869, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1871), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1869), _u1870), _u1872)) | ~c_Orderings_Oord__class_Oless(_u1869, _u1870, c_Groups_Ozero__class_Ozero(_u1869)) | ~c_Orderings_Oord__class_Oless(_u1869, _u1872, _u1871) )).
% 12.17/12.38 cnf(matrix-1047, plain, ( ~class_Rings_Olinordered__ring__strict(_u1873) | ~c_Orderings_Oord__class_Oless(_u1873, c_Groups_Ozero__class_Ozero(_u1873), _u1874) | ~c_Orderings_Oord__class_Oless(_u1873, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1876)) | c_Orderings_Oord__class_Oless(_u1873, _u1875, _u1876) )).
% 12.17/12.38 cnf(matrix-1048, plain, ( ~class_Rings_Olinordered__ring__strict(_u1873) | ~c_Orderings_Oord__class_Oless(_u1873, c_Groups_Ozero__class_Ozero(_u1873), _u1874) | ~c_Orderings_Oord__class_Oless(_u1873, _u1875, _u1876) | c_Orderings_Oord__class_Oless(_u1873, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1873), _u1874), _u1876)) )).
% 12.17/12.38 cnf(matrix-1049, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1877) | ~c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), _u1878) | ~c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), _u1879) | c_Orderings_Oord__class_Oless(_u1877, c_Groups_Ozero__class_Ozero(_u1877), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1877), _u1878), _u1879)) )).
% 12.17/12.38 cnf(matrix-1050, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1880) | ~c_Orderings_Oord__class_Oless(_u1880, c_Groups_Ozero__class_Ozero(_u1880), _u1881) | ~c_Orderings_Oord__class_Oless(_u1880, _u1882, c_Groups_Ozero__class_Ozero(_u1880)) | c_Orderings_Oord__class_Oless(_u1880, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1880), _u1881), _u1882), c_Groups_Ozero__class_Ozero(_u1880)) )).
% 12.17/12.38 cnf(matrix-1051, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1883) | ~c_Orderings_Oord__class_Oless(_u1883, c_Groups_Ozero__class_Ozero(_u1883), _u1884) | ~c_Orderings_Oord__class_Oless(_u1883, _u1885, c_Groups_Ozero__class_Ozero(_u1883)) | c_Orderings_Oord__class_Oless(_u1883, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1883), _u1885), _u1884), c_Groups_Ozero__class_Ozero(_u1883)) )).
% 12.17/12.38 cnf(matrix-1052, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1886) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1886), _u1887), _u1888)) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), _u1887) | c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), _u1888) )).
% 12.17/12.38 cnf(matrix-1053, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1889) | ~c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1889), _u1890), _u1891)) | ~c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), _u1891) | c_Orderings_Oord__class_Oless(_u1889, c_Groups_Ozero__class_Ozero(_u1889), _u1890) )).
% 12.17/12.38 cnf(matrix-1054, plain, ( ~class_Rings_Olinordered__ring__strict(_u1892) | ~c_Orderings_Oord__class_Oless(_u1892, _u1893, c_Groups_Ozero__class_Ozero(_u1892)) | ~c_Orderings_Oord__class_Oless(_u1892, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1895)) | c_Orderings_Oord__class_Oless(_u1892, _u1895, _u1894) )).
% 12.17/12.38 cnf(matrix-1055, plain, ( ~class_Rings_Olinordered__ring__strict(_u1892) | ~c_Orderings_Oord__class_Oless(_u1892, _u1893, c_Groups_Ozero__class_Ozero(_u1892)) | ~c_Orderings_Oord__class_Oless(_u1892, _u1895, _u1894) | c_Orderings_Oord__class_Oless(_u1892, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1894), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1892), _u1893), _u1895)) )).
% 12.17/12.38 cnf(matrix-1056, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1896) | ~c_Orderings_Oord__class_Oless(_u1896, _u1897, c_Groups_Ozero__class_Ozero(_u1896)) | ~c_Orderings_Oord__class_Oless(_u1896, c_Groups_Ozero__class_Ozero(_u1896), _u1898) | c_Orderings_Oord__class_Oless(_u1896, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1896), _u1897), _u1898), c_Groups_Ozero__class_Ozero(_u1896)) )).
% 12.17/12.38 cnf(matrix-1057, plain, ( ~class_Rings_Olinordered__ring__strict(_u1899) | ~c_Orderings_Oord__class_Oless(_u1899, _u1900, c_Groups_Ozero__class_Ozero(_u1899)) | ~c_Orderings_Oord__class_Oless(_u1899, _u1901, c_Groups_Ozero__class_Ozero(_u1899)) | c_Orderings_Oord__class_Oless(_u1899, c_Groups_Ozero__class_Ozero(_u1899), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1899), _u1900), _u1901)) )).
% 12.17/12.38 cnf(matrix-1058, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1902) | ~c_Orderings_Oord__class_Oless(_u1902, _u1903, _u1904) | ~c_Orderings_Oord__class_Oless(_u1902, c_Groups_Ozero__class_Ozero(_u1902), _u1905) | c_Orderings_Oord__class_Oless(_u1902, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1903), _u1905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1902), _u1904), _u1905)) )).
% 12.17/12.38 cnf(matrix-1059, plain, ( ~class_Rings_Olinordered__semiring__strict(_u1906) | ~c_Orderings_Oord__class_Oless(_u1906, _u1907, _u1908) | ~c_Orderings_Oord__class_Oless(_u1906, c_Groups_Ozero__class_Ozero(_u1906), _u1909) | c_Orderings_Oord__class_Oless(_u1906, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1909), _u1907), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1906), _u1909), _u1908)) )).
% 12.17/12.38 cnf(matrix-1060, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u1910) | ~c_Orderings_Oord__class_Oless(_u1910, _u1911, _u1912) | ~c_Orderings_Oord__class_Oless(_u1910, c_Groups_Ozero__class_Ozero(_u1910), _u1913) | c_Orderings_Oord__class_Oless(_u1910, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1910), _u1913), _u1911), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1910), _u1913), _u1912)) )).
% 12.17/12.38 cnf(matrix-1061, plain, ( ~class_Rings_Olinordered__ring__strict(_u1914) | ~c_Orderings_Oord__class_Oless(_u1914, _u1915, _u1916) | ~c_Orderings_Oord__class_Oless(_u1914, _u1917, c_Groups_Ozero__class_Ozero(_u1914)) | c_Orderings_Oord__class_Oless(_u1914, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1914), _u1916), _u1917), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1914), _u1915), _u1917)) )).
% 12.17/12.38 cnf(matrix-1062, plain, ( ~class_Rings_Olinordered__ring__strict(_u1918) | ~c_Orderings_Oord__class_Oless(_u1918, _u1919, _u1920) | ~c_Orderings_Oord__class_Oless(_u1918, _u1921, c_Groups_Ozero__class_Ozero(_u1918)) | c_Orderings_Oord__class_Oless(_u1918, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1918), _u1921), _u1920), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1918), _u1921), _u1919)) )).
% 12.17/12.38 cnf(matrix-1063, plain, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1923 = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.38 cnf(matrix-1064, plain, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1924 = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.38 cnf(matrix-1065, plain, ( ~class_Rings_Olinordered__ring__strict(_u1922) | ( _u1923 != c_Groups_Ozero__class_Ozero(_u1922)) | ( _u1924 != c_Groups_Ozero__class_Ozero(_u1922)) | ( c_Groups_Oplus__class_Oplus(_u1922, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1923), _u1923), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1922), _u1924), _u1924)) = c_Groups_Ozero__class_Ozero(_u1922)) )).
% 12.17/12.38 cnf(matrix-1066, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1925) | ( _u1926 = c_Groups_Ozero__class_Ozero(_u1925)) | ( _u1927 != _u1928) | ( _u1929 = _u1930) | ( c_Groups_Oplus__class_Oplus(_u1925, _u1927, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), _u1926), _u1929)) != c_Groups_Oplus__class_Oplus(_u1925, _u1928, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1925), _u1926), _u1930))) )).
% 12.17/12.38 cnf(matrix-1067, plain, ( ~class_Rings_Olinordered__semidom(_u1931) | ~c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), _u1932) | ~c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), _u1933) | c_Orderings_Oord__class_Oless(_u1931, c_Groups_Oone__class_Oone(_u1931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1931), _u1932), _u1933)) )).
% 12.17/12.38 cnf(matrix-1068, plain, ( ~class_Rings_Ocomm__semiring__1(_u1934) | ( c_Groups_Oplus__class_Oplus(_u1934, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1934), _u1935), _u1936), _u1936) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1934), c_Groups_Oplus__class_Oplus(_u1934, _u1935, c_Groups_Oone__class_Oone(_u1934))), _u1936)) )).
% 12.17/12.38 cnf(matrix-1069, plain, ( ~class_Rings_Ocomm__semiring__1(_u1937) | ( c_Groups_Oplus__class_Oplus(_u1937, _u1938, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1937), _u1939), _u1938)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1937), c_Groups_Oplus__class_Oplus(_u1937, _u1939, c_Groups_Oone__class_Oone(_u1937))), _u1938)) )).
% 12.17/12.38 cnf(matrix-1070, plain, ( ~class_Rings_Ocomm__semiring__1(_u1940) | ( c_Groups_Oplus__class_Oplus(_u1940, _u1941, _u1941) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1940), c_Groups_Oplus__class_Oplus(_u1940, c_Groups_Oone__class_Oone(_u1940), c_Groups_Oone__class_Oone(_u1940))), _u1941)) )).
% 12.17/12.38 cnf(matrix-1071, plain, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 != c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1942)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) = _u1944) )).
% 12.17/12.38 cnf(matrix-1072, plain, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 != c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.38 cnf(matrix-1073, plain, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( _u1945 != c_Groups_Ozero__class_Ozero(_u1942)) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.38 cnf(matrix-1074, plain, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) != _u1944) | ( _u1945 = c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.38 cnf(matrix-1075, plain, ( ~class_Fields_Ofield__inverse__zero(_u1942) | ( _u1943 = c_Rings_Oinverse__class_Odivide(_u1942, _u1944, _u1945)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1942), _u1943), _u1945) != _u1944) | ( _u1943 != c_Groups_Ozero__class_Ozero(_u1942)) )).
% 12.17/12.38 cnf(matrix-1076, plain, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) != _u1949) | ( _u1948 = c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1947 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) )).
% 12.17/12.38 cnf(matrix-1077, plain, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) != _u1949) | ( _u1948 != c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1949 = c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.38 cnf(matrix-1078, plain, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1948 != c_Groups_Ozero__class_Ozero(_u1946)) | ( _u1949 != c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.38 cnf(matrix-1079, plain, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1947 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) | ( _u1948 = c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.38 cnf(matrix-1080, plain, ( ~class_Fields_Ofield__inverse__zero(_u1946) | ( c_Rings_Oinverse__class_Odivide(_u1946, _u1947, _u1948) = _u1949) | ( _u1947 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1946), _u1949), _u1948)) | ( _u1949 != c_Groups_Ozero__class_Ozero(_u1946)) )).
% 12.17/12.38 cnf(matrix-1081, plain, ( ~class_Fields_Ofield__inverse__zero(_u1950) | ( _u1951 = c_Groups_Ozero__class_Ozero(_u1950)) | ( c_Rings_Oinverse__class_Odivide(_u1950, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1952), _u1951), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1950), _u1953), _u1951)) = c_Rings_Oinverse__class_Odivide(_u1950, _u1952, _u1953)) )).
% 12.17/12.38 cnf(matrix-1082, plain, ( ~class_Fields_Ofield__inverse__zero(_u1954) | ( _u1955 = c_Groups_Ozero__class_Ozero(_u1954)) | ( c_Rings_Oinverse__class_Odivide(_u1954, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1954), _u1955), _u1956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1954), _u1955), _u1957)) = c_Rings_Oinverse__class_Odivide(_u1954, _u1956, _u1957)) )).
% 12.17/12.38 cnf(matrix-1083, plain, ( ~class_Fields_Ofield(_u1958) | ( _u1959 = c_Groups_Ozero__class_Ozero(_u1958)) | ( _u1960 = c_Groups_Ozero__class_Ozero(_u1958)) | ( c_Rings_Oinverse__class_Odivide(_u1958, _u1961, _u1959) != c_Rings_Oinverse__class_Odivide(_u1958, _u1962, _u1960)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1961), _u1960) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1962), _u1959)) )).
% 12.17/12.38 cnf(matrix-1084, plain, ( ~class_Fields_Ofield(_u1958) | ( _u1959 = c_Groups_Ozero__class_Ozero(_u1958)) | ( _u1960 = c_Groups_Ozero__class_Ozero(_u1958)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1961), _u1960) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1958), _u1962), _u1959)) | ( c_Rings_Oinverse__class_Odivide(_u1958, _u1961, _u1959) = c_Rings_Oinverse__class_Odivide(_u1958, _u1962, _u1960)) )).
% 12.17/12.38 cnf(matrix-1085, plain, ( ~class_Rings_Odivision__ring(_u1963) | ( _u1964 = c_Groups_Ozero__class_Ozero(_u1963)) | ( _u1965 != c_Rings_Oinverse__class_Odivide(_u1963, _u1966, _u1964)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1963), _u1965), _u1964) = _u1966) )).
% 12.17/12.38 cnf(matrix-1086, plain, ( ~class_Rings_Odivision__ring(_u1963) | ( _u1964 = c_Groups_Ozero__class_Ozero(_u1963)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1963), _u1965), _u1964) != _u1966) | ( _u1965 = c_Rings_Oinverse__class_Odivide(_u1963, _u1966, _u1964)) )).
% 12.17/12.38 cnf(matrix-1087, plain, ( ~class_Rings_Odivision__ring(_u1967) | ( _u1968 = c_Groups_Ozero__class_Ozero(_u1967)) | ( c_Rings_Oinverse__class_Odivide(_u1967, _u1969, _u1968) != _u1970) | ( _u1969 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), _u1970), _u1968)) )).
% 12.17/12.38 cnf(matrix-1088, plain, ( ~class_Rings_Odivision__ring(_u1967) | ( _u1968 = c_Groups_Ozero__class_Ozero(_u1967)) | ( _u1969 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1967), _u1970), _u1968)) | ( c_Rings_Oinverse__class_Odivide(_u1967, _u1969, _u1968) = _u1970) )).
% 12.17/12.38 cnf(matrix-1089, plain, ( ~class_Rings_Odivision__ring(_u1971) | ( _u1972 = c_Groups_Ozero__class_Ozero(_u1971)) | ( _u1973 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1971), _u1974), _u1972)) | ( c_Rings_Oinverse__class_Odivide(_u1971, _u1973, _u1972) = _u1974) )).
% 12.17/12.38 cnf(matrix-1090, plain, ( ~class_Rings_Odivision__ring(_u1975) | ( _u1976 = c_Groups_Ozero__class_Ozero(_u1975)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1975), _u1977), _u1976) != _u1978) | ( _u1977 = c_Rings_Oinverse__class_Odivide(_u1975, _u1978, _u1976)) )).
% 12.17/12.38 cnf(matrix-1091, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1979, _u1980), _u1981) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1979, _u1981), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u1980, _u1981)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1979, _u1981), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u1980, _u1981)), _u1981))) )).
% 12.17/12.38 cnf(matrix-1092, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) != c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 = c_Groups_Ouminus__class_Ouminus(_u1982, c_Groups_Oone__class_Oone(_u1982))) )).
% 12.17/12.38 cnf(matrix-1093, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 != c_Groups_Oone__class_Oone(_u1982)) )).
% 12.17/12.38 cnf(matrix-1094, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1982) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1982), _u1983), _u1983) = c_Groups_Oone__class_Oone(_u1982)) | ( _u1983 != c_Groups_Ouminus__class_Ouminus(_u1982, c_Groups_Oone__class_Oone(_u1982))) )).
% 12.17/12.38 cnf(matrix-1095, plain, ( ~class_Rings_Ocomm__ring__1(_u1984) | ( c_Groups_Ouminus__class_Ouminus(_u1984, _u1985) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1984), c_Groups_Ouminus__class_Ouminus(_u1984, c_Groups_Oone__class_Oone(_u1984))), _u1985)) )).
% 12.17/12.38 cnf(matrix-1096, plain, ( ~class_Divides_Osemiring__div(_u1986) | ( _u1987 != c_Groups_Ozero__class_Ozero(_u1986)) | ( c_Divides_Odiv__class_Odiv(_u1986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1989)) = c_Groups_Ozero__class_Ozero(_u1986)) )).
% 12.17/12.38 cnf(matrix-1097, plain, ( ~class_Divides_Osemiring__div(_u1986) | ( _u1987 = c_Groups_Ozero__class_Ozero(_u1986)) | ( c_Divides_Odiv__class_Odiv(_u1986, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1988), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1986), _u1987), _u1989)) = c_Divides_Odiv__class_Odiv(_u1986, _u1988, _u1989)) )).
% 12.17/12.38 cnf(matrix-1098, plain, ( ~class_Divides_Osemiring__div(_u1990) | ( _u1991 = c_Groups_Ozero__class_Ozero(_u1990)) | ( c_Divides_Odiv__class_Odiv(_u1990, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1990), _u1992), _u1991), _u1991) = _u1992) )).
% 12.17/12.38 cnf(matrix-1099, plain, ( ~class_Divides_Osemiring__div(_u1993) | ( _u1994 = c_Groups_Ozero__class_Ozero(_u1993)) | ( c_Divides_Odiv__class_Odiv(_u1993, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1993), _u1994), _u1995), _u1994) = _u1995) )).
% 12.17/12.38 cnf(matrix-1100, plain, ( ~class_Divides_Osemiring__div(_u1996) | ( _u1997 = c_Groups_Ozero__class_Ozero(_u1996)) | ( c_Divides_Odiv__class_Odiv(_u1996, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1998), _u1997), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u1996), _u1999), _u1997)) = c_Divides_Odiv__class_Odiv(_u1996, _u1998, _u1999)) )).
% 12.17/12.38 cnf(matrix-1101, plain, ( ~class_Divides_Osemiring__div(_u2000) | ( _u2001 = c_Groups_Ozero__class_Ozero(_u2000)) | ( c_Divides_Odiv__class_Odiv(_u2000, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2002), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2000), _u2001), _u2003)) = c_Divides_Odiv__class_Odiv(_u2000, _u2002, _u2003)) )).
% 12.17/12.38 cnf(matrix-1102, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), _u2008) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2006 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-1103, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2006), _u2008) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2008 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-1104, plain, ( ( _u2007 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2009 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2007), _u2009) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.17/12.38 cnf(matrix-1105, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2010, _u2011) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2012) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2012), _u2010), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2012), _u2011)) )).
% 12.17/12.38 cnf(matrix-1106, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2013, _u2014) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2015) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2013), _u2015), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2014), _u2015)) )).
% 12.17/12.38 cnf(matrix-1107, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2019), _u2021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2023), _u2021)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2021) )).
% 12.17/12.38 cnf(matrix-1108, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2019), _u2021), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2023), _u2021)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2019, _u2023) )).
% 12.17/12.38 cnf(matrix-1109, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2022) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2020, _u2024) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2020), _u2022), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2024), _u2022)) )).
% 12.17/12.38 cnf(matrix-1110, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2032)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2028) )).
% 12.17/12.38 cnf(matrix-1111, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2028), _u2032)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2030, _u2032) )).
% 12.17/12.38 cnf(matrix-1112, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2029) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2031, _u2033) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2029), _u2031), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2029), _u2033)) )).
% 12.17/12.38 cnf(matrix-1113, 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), _u2036), _u2038)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2036) )).
% 12.17/12.38 cnf(matrix-1114, 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), _u2036), _u2038)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2038) )).
% 12.17/12.38 cnf(matrix-1115, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2037) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2039) | 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), _u2037), _u2039)) )).
% 12.17/12.38 cnf(matrix-1116, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2045, _u2047) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2043)), _u2045), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2043)), _u2047)) )).
% 12.17/12.38 cnf(matrix-1117, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2046, _u2048) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2044)), _u2046), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2044)), _u2048)) )).
% 12.17/12.38 cnf(matrix-1118, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2049), c_Nat_OSuc(_u2050)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2049, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2049), _u2050))) )).
% 12.17/12.38 cnf(matrix-1119, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2051)), _u2052) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2051), _u2052))) )).
% 12.17/12.38 cnf(matrix-1120, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2058, _u2060) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2056)), _u2058), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2056)), _u2060)) )).
% 12.17/12.38 cnf(matrix-1121, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2059, _u2061) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2057)), _u2059), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Nat_OSuc(_u2057)), _u2061)) )).
% 12.17/12.38 cnf(matrix-1122, plain, ( ( _u2062 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2062), _u2063)) | ( _u2063 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2062 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.17/12.38 cnf(matrix-1123, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2064) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2065, _u2064), _u2064) )).
% 12.17/12.38 cnf(matrix-1124, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2066) | ~c_Orderings_Oord__class_Oless__eq(_u2066, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), _u2067), _u2068), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2066), _u2067), _u2069)) | ~c_Orderings_Oord__class_Oless(_u2066, c_Groups_Ozero__class_Ozero(_u2066), _u2067) | c_Orderings_Oord__class_Oless__eq(_u2066, _u2068, _u2069) )).
% 12.17/12.38 cnf(matrix-1125, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2070) | ~c_Orderings_Oord__class_Oless__eq(_u2070, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2071), _u2072), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2070), _u2073), _u2072)) | ~c_Orderings_Oord__class_Oless(_u2070, c_Groups_Ozero__class_Ozero(_u2070), _u2072) | c_Orderings_Oord__class_Oless__eq(_u2070, _u2071, _u2073) )).
% 12.17/12.38 cnf(matrix-1126, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2074) | ~c_Orderings_Oord__class_Oless(_u2074, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2074), _u2075), _u2076), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2074), _u2075), _u2077)) | ~c_Orderings_Oord__class_Oless__eq(_u2074, c_Groups_Ozero__class_Ozero(_u2074), _u2075) | c_Orderings_Oord__class_Oless(_u2074, _u2076, _u2077) )).
% 12.17/12.38 cnf(matrix-1127, plain, ( ~class_Rings_Olinordered__semiring(_u2078) | ~c_Orderings_Oord__class_Oless(_u2078, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2078), _u2079), _u2080), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2078), _u2079), _u2081)) | ~c_Orderings_Oord__class_Oless__eq(_u2078, c_Groups_Ozero__class_Ozero(_u2078), _u2079) | c_Orderings_Oord__class_Oless(_u2078, _u2080, _u2081) )).
% 12.17/12.38 cnf(matrix-1128, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2082) | ~c_Orderings_Oord__class_Oless(_u2082, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2082), _u2083), _u2084), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2082), _u2085), _u2084)) | ~c_Orderings_Oord__class_Oless__eq(_u2082, c_Groups_Ozero__class_Ozero(_u2082), _u2084) | c_Orderings_Oord__class_Oless(_u2082, _u2083, _u2085) )).
% 12.17/12.38 cnf(matrix-1129, plain, ( ~class_Rings_Olinordered__semiring(_u2086) | ~c_Orderings_Oord__class_Oless(_u2086, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2087), _u2088), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2086), _u2089), _u2088)) | ~c_Orderings_Oord__class_Oless__eq(_u2086, c_Groups_Ozero__class_Ozero(_u2086), _u2088) | c_Orderings_Oord__class_Oless(_u2086, _u2087, _u2089) )).
% 12.17/12.38 cnf(matrix-1130, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2090) | ~c_Orderings_Oord__class_Oless__eq(_u2090, _u2091, _u2092) | ~c_Orderings_Oord__class_Oless(_u2090, _u2093, _u2094) | ~c_Orderings_Oord__class_Oless(_u2090, c_Groups_Ozero__class_Ozero(_u2090), _u2091) | ~c_Orderings_Oord__class_Oless__eq(_u2090, c_Groups_Ozero__class_Ozero(_u2090), _u2093) | c_Orderings_Oord__class_Oless(_u2090, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2090), _u2091), _u2093), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2090), _u2092), _u2094)) )).
% 12.17/12.38 cnf(matrix-1131, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2095) | ~c_Orderings_Oord__class_Oless(_u2095, _u2096, _u2097) | ~c_Orderings_Oord__class_Oless__eq(_u2095, _u2098, _u2099) | ~c_Orderings_Oord__class_Oless__eq(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2096) | ~c_Orderings_Oord__class_Oless(_u2095, c_Groups_Ozero__class_Ozero(_u2095), _u2098) | c_Orderings_Oord__class_Oless(_u2095, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2095), _u2096), _u2098), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2095), _u2097), _u2099)) )).
% 12.20/12.38 cnf(matrix-1132, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2100) | ~c_Orderings_Oord__class_Oless(_u2100, _u2101, _u2102) | ~c_Orderings_Oord__class_Oless(_u2100, _u2103, _u2104) | ~c_Orderings_Oord__class_Oless__eq(_u2100, c_Groups_Ozero__class_Ozero(_u2100), _u2101) | ~c_Orderings_Oord__class_Oless__eq(_u2100, c_Groups_Ozero__class_Ozero(_u2100), _u2103) | c_Orderings_Oord__class_Oless(_u2100, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2100), _u2101), _u2103), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2100), _u2102), _u2104)) )).
% 12.20/12.38 cnf(matrix-1133, plain, ( ~class_Rings_Olinordered__semiring__strict(_u2105) | ~c_Orderings_Oord__class_Oless(_u2105, _u2106, _u2107) | ~c_Orderings_Oord__class_Oless(_u2105, _u2108, _u2109) | ~c_Orderings_Oord__class_Oless(_u2105, c_Groups_Ozero__class_Ozero(_u2105), _u2107) | ~c_Orderings_Oord__class_Oless__eq(_u2105, c_Groups_Ozero__class_Ozero(_u2105), _u2108) | c_Orderings_Oord__class_Oless(_u2105, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2106), _u2108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2105), _u2107), _u2109)) )).
% 12.20/12.38 cnf(matrix-1134, plain, ( ~class_Rings_Olinordered__ring__strict(_u2110) | ~c_Orderings_Oord__class_Oless(_u2110, _u2111, c_Groups_Ozero__class_Ozero(_u2110)) | ~c_Orderings_Oord__class_Oless__eq(_u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2113)) | c_Orderings_Oord__class_Oless__eq(_u2110, _u2113, _u2112) )).
% 12.20/12.38 cnf(matrix-1135, plain, ( ~class_Rings_Olinordered__ring__strict(_u2110) | ~c_Orderings_Oord__class_Oless(_u2110, _u2111, c_Groups_Ozero__class_Ozero(_u2110)) | ~c_Orderings_Oord__class_Oless__eq(_u2110, _u2113, _u2112) | c_Orderings_Oord__class_Oless__eq(_u2110, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2112), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2110), _u2111), _u2113)) )).
% 12.20/12.38 cnf(matrix-1136, plain, ( ~class_Rings_Olinordered__ring__strict(_u2114) | ~c_Orderings_Oord__class_Oless(_u2114, c_Groups_Ozero__class_Ozero(_u2114), _u2115) | ~c_Orderings_Oord__class_Oless__eq(_u2114, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2117)) | c_Orderings_Oord__class_Oless__eq(_u2114, _u2116, _u2117) )).
% 12.20/12.38 cnf(matrix-1137, plain, ( ~class_Rings_Olinordered__ring__strict(_u2114) | ~c_Orderings_Oord__class_Oless(_u2114, c_Groups_Ozero__class_Ozero(_u2114), _u2115) | ~c_Orderings_Oord__class_Oless__eq(_u2114, _u2116, _u2117) | c_Orderings_Oord__class_Oless__eq(_u2114, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2116), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2114), _u2115), _u2117)) )).
% 12.20/12.38 cnf(matrix-1138, plain, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ~c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2119 = c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.20/12.38 cnf(matrix-1139, plain, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ~c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2120 = c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.20/12.38 cnf(matrix-1140, plain, ( ~class_Rings_Olinordered__ring__strict(_u2118) | ( _u2119 != c_Groups_Ozero__class_Ozero(_u2118)) | ( _u2120 != c_Groups_Ozero__class_Ozero(_u2118)) | c_Orderings_Oord__class_Oless__eq(_u2118, c_Groups_Oplus__class_Oplus(_u2118, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2119), _u2119), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2118), _u2120), _u2120)), c_Groups_Ozero__class_Ozero(_u2118)) )).
% 12.20/12.38 cnf(matrix-1141, plain, ( ~class_Rings_Olinordered__ring(_u2121) | c_Orderings_Oord__class_Oless__eq(_u2121, c_Groups_Ozero__class_Ozero(_u2121), c_Groups_Oplus__class_Oplus(_u2121, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2121), _u2122), _u2122), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2121), _u2123), _u2123))) )).
% 12.20/12.38 cnf(matrix-1142, plain, ( ~class_Rings_Olinordered__ring__strict(_u2124) | ~c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2125 != c_Groups_Ozero__class_Ozero(_u2124)) | ( _u2126 != c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.20/12.38 cnf(matrix-1143, plain, ( ~class_Rings_Olinordered__ring__strict(_u2124) | c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2125 = c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.20/12.38 cnf(matrix-1144, plain, ( ~class_Rings_Olinordered__ring__strict(_u2124) | c_Orderings_Oord__class_Oless(_u2124, c_Groups_Ozero__class_Ozero(_u2124), c_Groups_Oplus__class_Oplus(_u2124, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2125), _u2125), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2124), _u2126), _u2126))) | ( _u2126 = c_Groups_Ozero__class_Ozero(_u2124)) )).
% 12.20/12.38 cnf(matrix-1145, plain, ( ~class_Rings_Olinordered__ring(_u2127) | ~c_Orderings_Oord__class_Oless(_u2127, c_Groups_Oplus__class_Oplus(_u2127, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2128), _u2128), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2127), _u2129), _u2129)), c_Groups_Ozero__class_Ozero(_u2127)) )).
% 12.20/12.38 cnf(matrix-1146, plain, ( ~class_Rings_Olinordered__idom(_u2130) | ~c_Orderings_Oord__class_Oless__eq(_u2130, c_Groups_Ozero__class_Ozero(_u2130), _u2131) | ~c_Orderings_Oord__class_Oless__eq(_u2130, c_Groups_Ozero__class_Ozero(_u2130), _u2132) | ~c_Orderings_Oord__class_Oless__eq(_u2130, _u2132, c_Groups_Oone__class_Oone(_u2130)) | c_Orderings_Oord__class_Oless__eq(_u2130, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2130), _u2132), _u2131), _u2131) )).
% 12.20/12.38 cnf(matrix-1147, plain, ( ~class_Rings_Olinordered__idom(_u2133) | ~c_Orderings_Oord__class_Oless__eq(_u2133, c_Groups_Ozero__class_Ozero(_u2133), _u2134) | ~c_Orderings_Oord__class_Oless__eq(_u2133, c_Groups_Ozero__class_Ozero(_u2133), _u2135) | ~c_Orderings_Oord__class_Oless__eq(_u2133, _u2135, c_Groups_Oone__class_Oone(_u2133)) | c_Orderings_Oord__class_Oless__eq(_u2133, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2133), _u2134), _u2135), _u2134) )).
% 12.20/12.38 cnf(matrix-1148, plain, ( ~class_Fields_Olinordered__field(_u2136) | ~c_Orderings_Oord__class_Oless(_u2136, _u2137, _u2138) | ~c_Orderings_Oord__class_Oless(_u2136, _u2139, c_Groups_Ozero__class_Ozero(_u2136)) | ~c_Orderings_Oord__class_Oless(_u2136, c_Groups_Ozero__class_Ozero(_u2136), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2136), _u2137), _u2138)) | c_Orderings_Oord__class_Oless(_u2136, c_Rings_Oinverse__class_Odivide(_u2136, _u2139, _u2137), c_Rings_Oinverse__class_Odivide(_u2136, _u2139, _u2138)) )).
% 12.20/12.38 cnf(matrix-1149, plain, ( ~class_Fields_Olinordered__field(_u2140) | ~c_Orderings_Oord__class_Oless(_u2140, _u2141, _u2142) | ~c_Orderings_Oord__class_Oless(_u2140, c_Groups_Ozero__class_Ozero(_u2140), _u2143) | ~c_Orderings_Oord__class_Oless(_u2140, c_Groups_Ozero__class_Ozero(_u2140), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2140), _u2142), _u2141)) | c_Orderings_Oord__class_Oless(_u2140, c_Rings_Oinverse__class_Odivide(_u2140, _u2143, _u2142), c_Rings_Oinverse__class_Odivide(_u2140, _u2143, _u2141)) )).
% 12.20/12.38 cnf(matrix-1150, plain, ( ~class_Fields_Olinordered__field(_u2144) | ~c_Orderings_Oord__class_Oless(_u2144, _u2145, c_Groups_Ozero__class_Ozero(_u2144)) | ~c_Orderings_Oord__class_Oless(_u2144, c_Rings_Oinverse__class_Odivide(_u2144, _u2146, _u2145), _u2147) | c_Orderings_Oord__class_Oless(_u2144, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2144), _u2147), _u2145), _u2146) )).
% 12.20/12.38 cnf(matrix-1151, plain, ( ~class_Fields_Olinordered__field(_u2144) | ~c_Orderings_Oord__class_Oless(_u2144, _u2145, c_Groups_Ozero__class_Ozero(_u2144)) | ~c_Orderings_Oord__class_Oless(_u2144, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2144), _u2147), _u2145), _u2146) | c_Orderings_Oord__class_Oless(_u2144, c_Rings_Oinverse__class_Odivide(_u2144, _u2146, _u2145), _u2147) )).
% 12.20/12.38 cnf(matrix-1152, plain, ( ~class_Fields_Olinordered__field(_u2148) | ~c_Orderings_Oord__class_Oless(_u2148, _u2149, c_Groups_Ozero__class_Ozero(_u2148)) | ~c_Orderings_Oord__class_Oless(_u2148, _u2150, c_Rings_Oinverse__class_Odivide(_u2148, _u2151, _u2149)) | c_Orderings_Oord__class_Oless(_u2148, _u2151, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2148), _u2150), _u2149)) )).
% 12.20/12.38 cnf(matrix-1153, plain, ( ~class_Fields_Olinordered__field(_u2148) | ~c_Orderings_Oord__class_Oless(_u2148, _u2149, c_Groups_Ozero__class_Ozero(_u2148)) | ~c_Orderings_Oord__class_Oless(_u2148, _u2151, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2148), _u2150), _u2149)) | c_Orderings_Oord__class_Oless(_u2148, _u2150, c_Rings_Oinverse__class_Odivide(_u2148, _u2151, _u2149)) )).
% 12.20/12.38 cnf(matrix-1154, plain, ( ~class_Fields_Olinordered__field(_u2152) | ~c_Orderings_Oord__class_Oless(_u2152, c_Groups_Ozero__class_Ozero(_u2152), _u2153) | ~c_Orderings_Oord__class_Oless(_u2152, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2152), _u2154), _u2153), _u2155) | c_Orderings_Oord__class_Oless(_u2152, _u2154, c_Rings_Oinverse__class_Odivide(_u2152, _u2155, _u2153)) )).
% 12.20/12.38 cnf(matrix-1155, plain, ( ~class_Fields_Olinordered__field(_u2156) | ~c_Orderings_Oord__class_Oless(_u2156, c_Groups_Ozero__class_Ozero(_u2156), _u2157) | ~c_Orderings_Oord__class_Oless(_u2156, _u2158, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2156), _u2159), _u2157)) | c_Orderings_Oord__class_Oless(_u2156, c_Rings_Oinverse__class_Odivide(_u2156, _u2158, _u2157), _u2159) )).
% 12.20/12.38 cnf(matrix-1156, plain, ( ~class_Fields_Olinordered__field(_u2160) | ~c_Orderings_Oord__class_Oless(_u2160, c_Groups_Ozero__class_Ozero(_u2160), _u2161) | ~c_Orderings_Oord__class_Oless(_u2160, c_Rings_Oinverse__class_Odivide(_u2160, _u2162, _u2161), _u2163) | c_Orderings_Oord__class_Oless(_u2160, _u2162, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)) )).
% 12.20/12.38 cnf(matrix-1157, plain, ( ~class_Fields_Olinordered__field(_u2160) | ~c_Orderings_Oord__class_Oless(_u2160, c_Groups_Ozero__class_Ozero(_u2160), _u2161) | ~c_Orderings_Oord__class_Oless(_u2160, _u2162, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2160), _u2163), _u2161)) | c_Orderings_Oord__class_Oless(_u2160, c_Rings_Oinverse__class_Odivide(_u2160, _u2162, _u2161), _u2163) )).
% 12.20/12.38 cnf(matrix-1158, plain, ( ~class_Fields_Olinordered__field(_u2164) | ~c_Orderings_Oord__class_Oless(_u2164, c_Groups_Ozero__class_Ozero(_u2164), _u2165) | ~c_Orderings_Oord__class_Oless(_u2164, _u2166, c_Rings_Oinverse__class_Odivide(_u2164, _u2167, _u2165)) | c_Orderings_Oord__class_Oless(_u2164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2166), _u2165), _u2167) )).
% 12.20/12.38 cnf(matrix-1159, plain, ( ~class_Fields_Olinordered__field(_u2164) | ~c_Orderings_Oord__class_Oless(_u2164, c_Groups_Ozero__class_Ozero(_u2164), _u2165) | ~c_Orderings_Oord__class_Oless(_u2164, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2164), _u2166), _u2165), _u2167) | c_Orderings_Oord__class_Oless(_u2164, _u2166, c_Rings_Oinverse__class_Odivide(_u2164, _u2167, _u2165)) )).
% 12.20/12.38 cnf(matrix-1160, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) )).
% 12.20/12.38 cnf(matrix-1161, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) )).
% 12.20/12.38 cnf(matrix-1162, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | ~c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.20/12.38 cnf(matrix-1163, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.20/12.38 cnf(matrix-1164, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) )).
% 12.20/12.38 cnf(matrix-1165, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.20/12.38 cnf(matrix-1166, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2170) )).
% 12.20/12.38 cnf(matrix-1167, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.20/12.38 cnf(matrix-1168, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, _u2170, c_Groups_Ozero__class_Ozero(_u2168)) )).
% 12.20/12.38 cnf(matrix-1169, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2168) | c_Orderings_Oord__class_Oless(_u2168, c_Rings_Oinverse__class_Odivide(_u2168, _u2169, _u2170), _u2171) | ~c_Orderings_Oord__class_Oless(_u2168, _u2169, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170)) | ~c_Orderings_Oord__class_Oless(_u2168, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2168), _u2171), _u2170), _u2169) | ~c_Orderings_Oord__class_Oless(_u2168, c_Groups_Ozero__class_Ozero(_u2168), _u2171) )).
% 12.20/12.38 cnf(matrix-1170, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) )).
% 12.20/12.38 cnf(matrix-1171, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) )).
% 12.20/12.38 cnf(matrix-1172, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1173, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1174, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1175, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1176, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, c_Groups_Ozero__class_Ozero(_u2172), _u2175) )).
% 12.20/12.38 cnf(matrix-1177, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1178, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2175, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1179, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2172) | c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Rings_Oinverse__class_Odivide(_u2172, _u2174, _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175), _u2174) | ~c_Orderings_Oord__class_Oless(_u2172, _u2174, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2172), _u2173), _u2175)) | ~c_Orderings_Oord__class_Oless(_u2172, _u2173, c_Groups_Ozero__class_Ozero(_u2172)) )).
% 12.20/12.38 cnf(matrix-1180, plain, ( ~class_Fields_Ofield(_u2176) | ( _u2177 = c_Groups_Ozero__class_Ozero(_u2176)) | ( _u2178 = c_Groups_Ozero__class_Ozero(_u2176)) | ( c_Groups_Oplus__class_Oplus(_u2176, c_Rings_Oinverse__class_Odivide(_u2176, _u2179, _u2177), c_Rings_Oinverse__class_Odivide(_u2176, _u2180, _u2178)) = c_Rings_Oinverse__class_Odivide(_u2176, c_Groups_Oplus__class_Oplus(_u2176, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2179), _u2178), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2180), _u2177)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2176), _u2177), _u2178))) )).
% 12.20/12.38 cnf(matrix-1181, plain, ( ~class_Fields_Ofield(_u2181) | ( _u2182 = c_Groups_Ozero__class_Ozero(_u2181)) | ( c_Groups_Oplus__class_Oplus(_u2181, c_Rings_Oinverse__class_Odivide(_u2181, _u2183, _u2182), _u2184) = c_Rings_Oinverse__class_Odivide(_u2181, c_Groups_Oplus__class_Oplus(_u2181, _u2183, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2181), _u2182), _u2184)), _u2182)) )).
% 12.20/12.38 cnf(matrix-1182, plain, ( ~class_Fields_Ofield__inverse__zero(_u2185) | ( _u2186 = c_Groups_Ozero__class_Ozero(_u2185)) | ( c_Groups_Oplus__class_Oplus(_u2185, c_Rings_Oinverse__class_Odivide(_u2185, _u2187, _u2186), _u2188) = c_Rings_Oinverse__class_Odivide(_u2185, c_Groups_Oplus__class_Oplus(_u2185, _u2187, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2185), _u2188), _u2186)), _u2186)) )).
% 12.20/12.38 cnf(matrix-1183, plain, ( ~class_Fields_Ofield(_u2189) | ( _u2190 = c_Groups_Ozero__class_Ozero(_u2189)) | ( c_Groups_Oplus__class_Oplus(_u2189, _u2191, c_Rings_Oinverse__class_Odivide(_u2189, _u2192, _u2190)) = c_Rings_Oinverse__class_Odivide(_u2189, c_Groups_Oplus__class_Oplus(_u2189, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2189), _u2190), _u2191), _u2192), _u2190)) )).
% 12.20/12.38 cnf(matrix-1184, plain, ( ~class_Fields_Ofield__inverse__zero(_u2193) | ( _u2194 = c_Groups_Ozero__class_Ozero(_u2193)) | ( c_Groups_Oplus__class_Oplus(_u2193, _u2195, c_Rings_Oinverse__class_Odivide(_u2193, _u2196, _u2194)) = c_Rings_Oinverse__class_Odivide(_u2193, c_Groups_Oplus__class_Oplus(_u2193, _u2196, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2193), _u2195), _u2194)), _u2194)) )).
% 12.20/12.38 cnf(matrix-1185, plain, ( ~class_Divides_Osemiring__div(_u2197) | ( _u2198 = c_Groups_Ozero__class_Ozero(_u2197)) | ( c_Divides_Odiv__class_Odiv(_u2197, c_Groups_Oplus__class_Oplus(_u2197, _u2199, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2197), _u2198), _u2200)), _u2198) = c_Groups_Oplus__class_Oplus(_u2197, _u2200, c_Divides_Odiv__class_Odiv(_u2197, _u2199, _u2198))) )).
% 12.20/12.38 cnf(matrix-1186, plain, ( ~class_Divides_Osemiring__div(_u2201) | ( _u2202 = c_Groups_Ozero__class_Ozero(_u2201)) | ( c_Divides_Odiv__class_Odiv(_u2201, c_Groups_Oplus__class_Oplus(_u2201, _u2203, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2201), _u2204), _u2202)), _u2202) = c_Groups_Oplus__class_Oplus(_u2201, _u2204, c_Divides_Odiv__class_Odiv(_u2201, _u2203, _u2202))) )).
% 12.20/12.38 cnf(matrix-1187, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2205) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2206) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2206), _u2205)) )).
% 12.20/12.38 cnf(matrix-1188, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2207) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2208) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2207, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2207), _u2208)) )).
% 12.20/12.38 cnf(matrix-1189, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2209) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2210) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2209, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2210), _u2209)) )).
% 12.20/12.38 cnf(matrix-1190, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2213) )).
% 12.20/12.38 cnf(matrix-1191, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2213), _u2215)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2215) )).
% 12.20/12.38 cnf(matrix-1192, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2214) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2216) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2214), _u2216)) )).
% 12.20/12.38 cnf(matrix-1193, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2220), _u2222), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2224), _u2222)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2222) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2220, _u2224) )).
% 12.20/12.38 cnf(matrix-1194, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2223)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2223) )).
% 12.20/12.38 cnf(matrix-1195, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2221), _u2223), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2225), _u2223)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2221, _u2225) )).
% 12.20/12.38 cnf(matrix-1196, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2229), _u2231), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2229), _u2233)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2229) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2231, _u2233) )).
% 12.20/12.38 cnf(matrix-1197, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2234)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2230) )).
% 12.20/12.38 cnf(matrix-1198, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2232), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2230), _u2234)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2232, _u2234) )).
% 12.20/12.38 cnf(matrix-1199, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2235) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2235), _u2236), _u2235) = _u2236) )).
% 12.20/12.38 cnf(matrix-1200, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2237) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2238), _u2237), _u2237) = _u2238) )).
% 12.20/12.38 cnf(matrix-1201, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Nat_OSuc(_u2239), _u2240) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2239, _u2240), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2240)), c_Divides_Odiv__class_Odiv(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u2239, _u2240), c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2240)), _u2240))) )).
% 12.20/12.38 cnf(matrix-1202, plain, ( ~class_Rings_Olinordered__semiring__1(_u2241) | ~c_Orderings_Oord__class_Oless__eq(_u2241, _u2242, _u2243) | ~c_Orderings_Oord__class_Oless__eq(_u2241, _u2244, _u2243) | ~c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Ozero__class_Ozero(_u2241), _u2245) | ~c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Ozero__class_Ozero(_u2241), _u2246) | ( c_Groups_Oplus__class_Oplus(_u2241, _u2245, _u2246) != c_Groups_Oone__class_Oone(_u2241)) | c_Orderings_Oord__class_Oless__eq(_u2241, c_Groups_Oplus__class_Oplus(_u2241, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2241), _u2245), _u2242), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2241), _u2246), _u2244)), _u2243) )).
% 12.20/12.38 cnf(matrix-1203, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2247) | ~c_Orderings_Oord__class_Oless__eq(_u2247, _u2248, _u2249) | ~c_Orderings_Oord__class_Oless__eq(_u2247, _u2250, c_Groups_Ozero__class_Ozero(_u2247)) | ~c_Orderings_Oord__class_Oless(_u2247, c_Groups_Ozero__class_Ozero(_u2247), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2247), _u2248), _u2249)) | c_Orderings_Oord__class_Oless__eq(_u2247, c_Rings_Oinverse__class_Odivide(_u2247, _u2250, _u2248), c_Rings_Oinverse__class_Odivide(_u2247, _u2250, _u2249)) )).
% 12.20/12.38 cnf(matrix-1204, plain, ( ~class_Fields_Olinordered__field(_u2251) | ~c_Orderings_Oord__class_Oless__eq(_u2251, _u2252, _u2253) | ~c_Orderings_Oord__class_Oless__eq(_u2251, c_Groups_Ozero__class_Ozero(_u2251), _u2254) | ~c_Orderings_Oord__class_Oless(_u2251, c_Groups_Ozero__class_Ozero(_u2251), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2251), _u2253), _u2252)) | c_Orderings_Oord__class_Oless__eq(_u2251, c_Rings_Oinverse__class_Odivide(_u2251, _u2254, _u2253), c_Rings_Oinverse__class_Odivide(_u2251, _u2254, _u2252)) )).
% 12.20/12.38 cnf(matrix-1205, plain, ( ~class_Fields_Olinordered__field(_u2255) | ~c_Orderings_Oord__class_Oless(_u2255, _u2256, c_Groups_Ozero__class_Ozero(_u2255)) | ~c_Orderings_Oord__class_Oless__eq(_u2255, c_Rings_Oinverse__class_Odivide(_u2255, _u2257, _u2256), _u2258) | c_Orderings_Oord__class_Oless__eq(_u2255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2255), _u2258), _u2256), _u2257) )).
% 12.20/12.38 cnf(matrix-1206, plain, ( ~class_Fields_Olinordered__field(_u2255) | ~c_Orderings_Oord__class_Oless(_u2255, _u2256, c_Groups_Ozero__class_Ozero(_u2255)) | ~c_Orderings_Oord__class_Oless__eq(_u2255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2255), _u2258), _u2256), _u2257) | c_Orderings_Oord__class_Oless__eq(_u2255, c_Rings_Oinverse__class_Odivide(_u2255, _u2257, _u2256), _u2258) )).
% 12.20/12.38 cnf(matrix-1207, plain, ( ~class_Fields_Olinordered__field(_u2259) | ~c_Orderings_Oord__class_Oless(_u2259, _u2260, c_Groups_Ozero__class_Ozero(_u2259)) | ~c_Orderings_Oord__class_Oless__eq(_u2259, _u2261, c_Rings_Oinverse__class_Odivide(_u2259, _u2262, _u2260)) | c_Orderings_Oord__class_Oless__eq(_u2259, _u2262, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2259), _u2261), _u2260)) )).
% 12.20/12.38 cnf(matrix-1208, plain, ( ~class_Fields_Olinordered__field(_u2259) | ~c_Orderings_Oord__class_Oless(_u2259, _u2260, c_Groups_Ozero__class_Ozero(_u2259)) | ~c_Orderings_Oord__class_Oless__eq(_u2259, _u2262, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2259), _u2261), _u2260)) | c_Orderings_Oord__class_Oless__eq(_u2259, _u2261, c_Rings_Oinverse__class_Odivide(_u2259, _u2262, _u2260)) )).
% 12.20/12.38 cnf(matrix-1209, plain, ( ~class_Fields_Olinordered__field(_u2263) | ~c_Orderings_Oord__class_Oless(_u2263, c_Groups_Ozero__class_Ozero(_u2263), _u2264) | ~c_Orderings_Oord__class_Oless__eq(_u2263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2263), _u2265), _u2264), _u2266) | c_Orderings_Oord__class_Oless__eq(_u2263, _u2265, c_Rings_Oinverse__class_Odivide(_u2263, _u2266, _u2264)) )).
% 12.20/12.38 cnf(matrix-1210, plain, ( ~class_Fields_Olinordered__field(_u2267) | ~c_Orderings_Oord__class_Oless(_u2267, c_Groups_Ozero__class_Ozero(_u2267), _u2268) | ~c_Orderings_Oord__class_Oless__eq(_u2267, _u2269, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2267), _u2270), _u2268)) | c_Orderings_Oord__class_Oless__eq(_u2267, c_Rings_Oinverse__class_Odivide(_u2267, _u2269, _u2268), _u2270) )).
% 12.20/12.38 cnf(matrix-1211, plain, ( ~class_Fields_Olinordered__field(_u2271) | ~c_Orderings_Oord__class_Oless(_u2271, c_Groups_Ozero__class_Ozero(_u2271), _u2272) | ~c_Orderings_Oord__class_Oless__eq(_u2271, c_Rings_Oinverse__class_Odivide(_u2271, _u2273, _u2272), _u2274) | c_Orderings_Oord__class_Oless__eq(_u2271, _u2273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2271), _u2274), _u2272)) )).
% 12.20/12.38 cnf(matrix-1212, plain, ( ~class_Fields_Olinordered__field(_u2271) | ~c_Orderings_Oord__class_Oless(_u2271, c_Groups_Ozero__class_Ozero(_u2271), _u2272) | ~c_Orderings_Oord__class_Oless__eq(_u2271, _u2273, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2271), _u2274), _u2272)) | c_Orderings_Oord__class_Oless__eq(_u2271, c_Rings_Oinverse__class_Odivide(_u2271, _u2273, _u2272), _u2274) )).
% 12.20/12.38 cnf(matrix-1213, plain, ( ~class_Fields_Olinordered__field(_u2275) | ~c_Orderings_Oord__class_Oless(_u2275, c_Groups_Ozero__class_Ozero(_u2275), _u2276) | ~c_Orderings_Oord__class_Oless__eq(_u2275, _u2277, c_Rings_Oinverse__class_Odivide(_u2275, _u2278, _u2276)) | c_Orderings_Oord__class_Oless__eq(_u2275, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2275), _u2277), _u2276), _u2278) )).
% 12.20/12.38 cnf(matrix-1214, plain, ( ~class_Fields_Olinordered__field(_u2275) | ~c_Orderings_Oord__class_Oless(_u2275, c_Groups_Ozero__class_Ozero(_u2275), _u2276) | ~c_Orderings_Oord__class_Oless__eq(_u2275, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2275), _u2277), _u2276), _u2278) | c_Orderings_Oord__class_Oless__eq(_u2275, _u2277, c_Rings_Oinverse__class_Odivide(_u2275, _u2278, _u2276)) )).
% 12.20/12.38 cnf(matrix-1215, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) )).
% 12.20/12.38 cnf(matrix-1216, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) )).
% 12.20/12.38 cnf(matrix-1217, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.20/12.38 cnf(matrix-1218, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.20/12.38 cnf(matrix-1219, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) )).
% 12.20/12.38 cnf(matrix-1220, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.20/12.38 cnf(matrix-1221, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2281) )).
% 12.20/12.38 cnf(matrix-1222, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.20/12.38 cnf(matrix-1223, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless(_u2279, _u2281, c_Groups_Ozero__class_Ozero(_u2279)) )).
% 12.20/12.38 cnf(matrix-1224, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2279) | c_Orderings_Oord__class_Oless__eq(_u2279, c_Rings_Oinverse__class_Odivide(_u2279, _u2280, _u2281), _u2282) | ~c_Orderings_Oord__class_Oless__eq(_u2279, _u2280, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281)) | ~c_Orderings_Oord__class_Oless__eq(_u2279, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2279), _u2282), _u2281), _u2280) | ~c_Orderings_Oord__class_Oless__eq(_u2279, c_Groups_Ozero__class_Ozero(_u2279), _u2282) )).
% 12.20/12.38 cnf(matrix-1225, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) )).
% 12.20/12.38 cnf(matrix-1226, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) )).
% 12.20/12.38 cnf(matrix-1227, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1228, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1229, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1230, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1231, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless(_u2283, c_Groups_Ozero__class_Ozero(_u2283), _u2286) )).
% 12.20/12.38 cnf(matrix-1232, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1233, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless(_u2283, _u2286, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1234, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2283) | c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Rings_Oinverse__class_Odivide(_u2283, _u2285, _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286), _u2285) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2285, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2283), _u2284), _u2286)) | ~c_Orderings_Oord__class_Oless__eq(_u2283, _u2284, c_Groups_Ozero__class_Ozero(_u2283)) )).
% 12.20/12.38 cnf(matrix-1235, plain, ( ~hBOOL(hAPP(_u2294, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2296, _u2298))) | ( _u2298 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u2294, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.20/12.38 cnf(matrix-1236, plain, ( ~hBOOL(hAPP(_u2294, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2296, _u2298))) | ( _u2298 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2287, _u2298) | ( _u2296 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2298), _u2288), _u2287)) | hBOOL(hAPP(_u2294, _u2288)) )).
% 12.20/12.38 cnf(matrix-1237, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem58(_u2299, _u2297, _u2295), _u2299) )).
% 12.20/12.38 cnf(matrix-1238, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2297 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), skolem57(_u2299, _u2297, _u2295)), skolem58(_u2299, _u2297, _u2295))) )).
% 12.20/12.38 cnf(matrix-1239, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ( _u2299 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u2295, skolem57(_u2299, _u2297, _u2295))) )).
% 12.20/12.38 cnf(matrix-1240, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2299 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1241, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, skolem58(_u2299, _u2297, _u2295), _u2299) )).
% 12.20/12.38 cnf(matrix-1242, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2297 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2299), skolem57(_u2299, _u2297, _u2295)), skolem58(_u2299, _u2297, _u2295))) )).
% 12.20/12.38 cnf(matrix-1243, plain, ( hBOOL(hAPP(_u2295, c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2297, _u2299))) | ~hBOOL(hAPP(_u2295, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u2295, skolem57(_u2299, _u2297, _u2295))) )).
% 12.20/12.38 cnf(matrix-1244, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u2300) | ~c_Orderings_Oord__class_Oless(_u2300, _u2301, _u2302) | ~c_Orderings_Oord__class_Oless(_u2300, _u2303, _u2302) | ~c_Orderings_Oord__class_Oless__eq(_u2300, c_Groups_Ozero__class_Ozero(_u2300), _u2304) | ~c_Orderings_Oord__class_Oless__eq(_u2300, c_Groups_Ozero__class_Ozero(_u2300), _u2305) | ( c_Groups_Oplus__class_Oplus(_u2300, _u2304, _u2305) != c_Groups_Oone__class_Oone(_u2300)) | c_Orderings_Oord__class_Oless(_u2300, c_Groups_Oplus__class_Oplus(_u2300, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2300), _u2304), _u2301), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2300), _u2305), _u2303)), _u2302) )).
% 12.20/12.38 cnf(matrix-1245, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2306) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2307), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2306), _u2308)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2307, _u2308)) )).
% 12.20/12.38 cnf(matrix-1246, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2309) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2311)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2310, _u2311) )).
% 12.20/12.38 cnf(matrix-1247, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2309) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2310, _u2311) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2310), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2309), _u2311)) )).
% 12.20/12.38 cnf(matrix-1248, plain, ( ( _u2315 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2315), _u2317), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2315), _u2319)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1249, plain, ( ( _u2316 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2316), _u2318), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2316), _u2320)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat, _u2318, _u2320)) )).
% 12.20/12.38 cnf(matrix-1250, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2321) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2323)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2322, _u2323) )).
% 12.20/12.38 cnf(matrix-1251, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2321) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2322, _u2323) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2322), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2321), _u2323)) )).
% 12.20/12.38 cnf(matrix-1252, plain, ( ~class_Fields_Ofield(_u2324) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), _u2325, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2324)), _u2326), _u2327)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2324), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2324)), _u2326), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2324), _u2325, _u2326), _u2327)), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2324), _u2325, _u2326))) )).
% 12.20/12.38 cnf(matrix-1253, plain, ( ~class_Fields_Ofield(_u2328) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2328), _u2329, c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2328), _u2330)) = c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2328), _u2329, _u2330)) )).
% 12.20/12.38 cnf(matrix-1254, plain, ( ~class_Fields_Ofield(_u2331) | ( c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2331), c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2331), _u2332), _u2333) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(_u2331), c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(_u2331), _u2332, _u2333))) )).
% 12.20/12.38 cnf(matrix-1255, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2334), _u2335)), _u2336) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2334), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2335), _u2336))) )).
% 12.20/12.38 cnf(matrix-1256, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2337), _u2338) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2338), _u2337)) )).
% 12.20/12.38 cnf(matrix-1257, plain, ( ~class_Rings_Ocomm__semiring__0(_u2339) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2339)), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2339))), _u2340) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2339))) )).
% 12.20/12.38 cnf(matrix-1258, plain, ( ~class_Rings_Ocomm__semiring__0(_u2341) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2341)), _u2342), c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(_u2341))) )).
% 12.20/12.38 cnf(matrix-1259, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2343, _u2344)), _u2345) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2343), _u2345), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2344), _u2345))) )).
% 12.20/12.38 cnf(matrix-1260, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u2346) = _u2346) )).
% 12.20/12.38 cnf(matrix-1261, plain, ( ( _u2347 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2348) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2349)) | ( _u2348 = _u2349) )).
% 12.20/12.38 cnf(matrix-1262, plain, ( ( _u2347 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2348 != _u2349) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2348) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2347), _u2349)) )).
% 12.20/12.38 cnf(matrix-1263, plain, ( ( _u2350 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2351), _u2350) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2352), _u2350)) | ( _u2351 = _u2352) )).
% 12.20/12.38 cnf(matrix-1264, plain, ( ( _u2350 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2351 != _u2352) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2351), _u2350) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2352), _u2350)) )).
% 12.20/12.38 cnf(matrix-1265, plain, ( ~class_Rings_Ocomm__semiring__0(_u2353) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2353), _u2354, _u2355)), _u2356) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(_u2353), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), _u2354), _u2356), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2353)), _u2355), _u2356))) )).
% 12.20/12.38 cnf(matrix-1266, plain, ( ~class_Fields_Ofield(_u2357) | ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), _u2358, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(_u2357)), _u2359), _u2360)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(_u2357), _u2358, _u2359), _u2360)) )).
% 12.20/12.38 cnf(matrix-1267, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2361) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2362, _u2363) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2361), _u2362), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2361), _u2363)) )).
% 12.20/12.38 cnf(matrix-1268, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2364) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2365) | 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), _u2364), _u2365)) )).
% 12.20/12.38 cnf(matrix-1269, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2366) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2367), _u2366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2368), _u2366)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2367, _u2368) )).
% 12.20/12.38 cnf(matrix-1270, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2366) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2367, _u2368) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2367), _u2366), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2368), _u2366)) )).
% 12.20/12.38 cnf(matrix-1271, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2371), _u2371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2373), _u2373)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2371 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.20/12.38 cnf(matrix-1272, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2371), _u2371), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2373), _u2373)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2373 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.20/12.38 cnf(matrix-1273, plain, ( ( _u2372 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2374 != 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), _u2372), _u2372), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2374), _u2374)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.20/12.38 cnf(matrix-1274, 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), _u2375), _u2375)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2376), _u2376)) )).
% 12.20/12.38 cnf(matrix-1275, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2377), _u2378)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2377)), c_RealDef_Oreal(tc_Nat_Onat, _u2378))) )).
% 12.20/12.38 cnf(matrix-1276, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2380), _u2379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2381), _u2379)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2380, _u2381) )).
% 12.20/12.38 cnf(matrix-1277, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2379) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2380, _u2381) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2380), _u2379), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2381), _u2379)) )).
% 12.20/12.38 cnf(matrix-1278, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2382) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2384)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2383, _u2384) )).
% 12.20/12.38 cnf(matrix-1279, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2382) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2383, _u2384) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2383), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2382), _u2384)) )).
% 12.20/12.38 cnf(matrix-1280, plain, ( ~class_RealVector_Oreal__normed__vector(_u2385) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2386, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2385, _u2387), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2386), c_RealVector_Onorm__class_Onorm(_u2385, _u2388))) | ( _u2387 = c_Groups_Ozero__class_Ozero(_u2385)) )).
% 12.20/12.38 cnf(matrix-1281, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2389) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2390) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_RComplete_Onatfloor(_u2389)), c_RComplete_Onatfloor(_u2390)), c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2389), _u2390))) )).
% 12.20/12.38 cnf(matrix-1282, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2394), _u2396) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2394), _u2398)) | ( _u2394 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2396 = _u2398) )).
% 12.20/12.38 cnf(matrix-1283, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2399)) | ( _u2395 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1284, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2397) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2395), _u2399)) | ( _u2397 != _u2399) )).
% 12.20/12.38 cnf(matrix-1285, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2400), _u2401), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2402), _u2401), _u2403)) = 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, _u2400, _u2402)), _u2401), _u2403)) )).
% 12.20/12.38 cnf(matrix-1286, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2404) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2405) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2406)) | ( _u2405 = _u2406) )).
% 12.20/12.38 cnf(matrix-1287, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2404) | ( _u2405 != _u2406) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2405) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2404), _u2406)) )).
% 12.20/12.38 cnf(matrix-1288, 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), _u2408), _u2408)) | ( _u2408 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 12.20/12.38 cnf(matrix-1289, plain, ( ( _u2409 != 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), _u2409), _u2409)) )).
% 12.20/12.38 cnf(matrix-1290, plain, ( ~class_RealVector_Oreal__normed__field(_u2412) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem59(_u2413, _u2412)) )).
% 12.20/12.38 cnf(matrix-1291, plain, ( ~class_RealVector_Oreal__normed__field(_u2412) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2412, c_Rings_Oinverse__class_Odivide(_u2412, _u2410, _u2413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2412, _u2410)), skolem59(_u2413, _u2412))) )).
% 12.20/12.38 cnf(matrix-1292, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2417) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem60(_u2417)) )).
% 12.20/12.38 cnf(matrix-1293, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2417) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2417, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2417), _u2415), _u2414)), 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(_u2417, _u2415)), c_RealVector_Onorm__class_Onorm(_u2417, _u2414))), skolem60(_u2417))) )).
% 12.20/12.38 cnf(matrix-1294, plain, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2418), _u2419), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u2418), _u2418)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2419, _u2418)) )).
% 12.20/12.38 cnf(matrix-1295, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2422) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem61(_u2423, _u2422)) )).
% 12.20/12.38 cnf(matrix-1296, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2422) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2422, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2422), _u2420), _u2423)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2422, _u2420)), skolem61(_u2423, _u2422))) )).
% 12.20/12.38 cnf(matrix-1297, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2426) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem62(_u2427, _u2426)) )).
% 12.20/12.38 cnf(matrix-1298, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2426) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2426, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2426), _u2427), _u2424)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2426, _u2424)), skolem62(_u2427, _u2426))) )).
% 12.20/12.38 cnf(matrix-1299, plain, ( ~class_RealVector_Oreal__normed__field(_u2430) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem63(_u2431, _u2430)) )).
% 12.20/12.38 cnf(matrix-1300, plain, ( ~class_RealVector_Oreal__normed__field(_u2430) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2430, c_Rings_Oinverse__class_Odivide(_u2430, _u2428, _u2431)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2430, _u2428)), skolem63(_u2431, _u2430))) )).
% 12.20/12.38 cnf(matrix-1301, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2435) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem64(_u2435)) )).
% 12.20/12.38 cnf(matrix-1302, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2435) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2435, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2435), _u2433), _u2432)), 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(_u2435, _u2433)), c_RealVector_Onorm__class_Onorm(_u2435, _u2432))), skolem64(_u2435))) )).
% 12.20/12.38 cnf(matrix-1303, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2438) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem65(_u2439, _u2438)) )).
% 12.20/12.38 cnf(matrix-1304, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2438) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2438, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2438), _u2436), _u2439)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2438, _u2436)), skolem65(_u2439, _u2438))) )).
% 12.20/12.38 cnf(matrix-1305, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2442) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem66(_u2443, _u2442)) )).
% 12.20/12.38 cnf(matrix-1306, plain, ( ~class_RealVector_Oreal__normed__algebra(_u2442) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2442, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2442), _u2443), _u2440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2442, _u2440)), skolem66(_u2443, _u2442))) )).
% 12.20/12.38 cnf(matrix-1307, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2444) | 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, _u2445)), _u2444), 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, _u2444, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))), _u2445)) )).
% 12.20/12.38 cnf(matrix-1308, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | c_Orderings_Oord__class_Oless(_u2447, c_Groups_Ozero__class_Ozero(_u2447), skolem67(_u2449, _u2448, _u2447)) )).
% 12.20/12.38 cnf(matrix-1309, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | c_Orderings_Oord__class_Oless(_u2447, skolem67(_u2449, _u2448, _u2447), c_Groups_Oone__class_Oone(_u2447)) )).
% 12.20/12.38 cnf(matrix-1310, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2447) | c_Orderings_Oord__class_Oless__eq(_u2447, _u2448, _u2449) | ~c_Orderings_Oord__class_Oless__eq(_u2447, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2447), skolem67(_u2449, _u2448, _u2447)), _u2448), _u2449) )).
% 12.20/12.38 cnf(matrix-1311, plain, ( ~class_Rings_Ocomm__semiring__1(_u2450) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2450), _u2451), _u2452)), _u2453) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2450), hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), _u2451), _u2453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2450), _u2452), _u2453))) )).
% 12.20/12.38 cnf(matrix-1312, plain, ( ~class_Rings_Ocomm__semiring__1(_u2454) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), _u2455), _u2456)), _u2457) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2454), _u2455), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2456), _u2457))) )).
% 12.20/12.38 cnf(matrix-1313, plain, ( ~class_Rings_Ocomm__semiring__1(_u2458) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2458), _u2459), c_Nat_OSuc(_u2460)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2458), _u2459), hAPP(hAPP(c_Power_Opower__class_Opower(_u2458), _u2459), _u2460))) )).
% 12.20/12.38 cnf(matrix-1314, plain, ( ~class_Rings_Ocomm__semiring__1(_u2461) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2461), _u2462), hAPP(hAPP(c_Power_Opower__class_Opower(_u2461), _u2462), _u2463)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2461), _u2462), c_Nat_OSuc(_u2463))) )).
% 12.20/12.38 cnf(matrix-1315, plain, ( ~class_Rings_Ocomm__semiring__1(_u2464) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2464), hAPP(hAPP(c_Power_Opower__class_Opower(_u2464), _u2465), _u2466)), _u2465) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2464), _u2465), c_Nat_OSuc(_u2466))) )).
% 12.20/12.38 cnf(matrix-1316, plain, ( ~class_Rings_Ocomm__semiring__1(_u2467) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2467), _u2468), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2467)) )).
% 12.20/12.38 cnf(matrix-1317, plain, ( ~class_Rings_Ocomm__semiring__1(_u2469) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2469), hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), _u2471)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), _u2472)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2469), _u2470), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2471, _u2472))) )).
% 12.20/12.38 cnf(matrix-1318, plain, ( ~class_Rings_Ocomm__semiring__1(_u2473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2473), _u2474), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2474) )).
% 12.20/12.38 cnf(matrix-1319, plain, ( ~class_Rings_Ocomm__semiring__1(_u2475) | ( hAPP(c_Polynomial_Opoly(_u2475, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(_u2475)), _u2476), _u2477)), _u2478) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2475), hAPP(c_Polynomial_Opoly(_u2475, _u2476), _u2478)), _u2477)) )).
% 12.20/12.38 cnf(matrix-1320, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u2479) | ( c_RealVector_Onorm__class_Onorm(_u2479, hAPP(hAPP(c_Power_Opower__class_Opower(_u2479), _u2480), _u2481)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2479, _u2480)), _u2481)) )).
% 12.20/12.38 cnf(matrix-1321, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u2482) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u2482, hAPP(hAPP(c_Power_Opower__class_Opower(_u2482), _u2483), _u2484)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealVector_Onorm__class_Onorm(_u2482, _u2483)), _u2484)) )).
% 12.20/12.38 cnf(matrix-1322, plain, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 = _u2487) | ( _u2486 = c_Groups_Ouminus__class_Ouminus(_u2485, _u2487)) )).
% 12.20/12.38 cnf(matrix-1323, plain, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 != _u2487) )).
% 12.20/12.38 cnf(matrix-1324, plain, ( ~class_Rings_Oidom(_u2485) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2486), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2485), _u2487), c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) | ( _u2486 != c_Groups_Ouminus__class_Ouminus(_u2485, _u2487)) )).
% 12.20/12.38 cnf(matrix-1325, plain, ( ~class_Rings_Olinordered__semidom(_u2488) | ~c_Orderings_Oord__class_Oless__eq(_u2488, c_Groups_Ozero__class_Ozero(_u2488), _u2489) | ~c_Orderings_Oord__class_Oless__eq(_u2488, _u2489, c_Groups_Oone__class_Oone(_u2488)) | c_Orderings_Oord__class_Oless__eq(_u2488, hAPP(hAPP(c_Power_Opower__class_Opower(_u2488), _u2489), c_Nat_OSuc(_u2490)), _u2489) )).
% 12.20/12.38 cnf(matrix-1326, plain, ( ~class_Rings_Olinordered__semidom(_u2491) | ~c_Orderings_Oord__class_Oless(_u2491, _u2492, _u2493) | ~c_Orderings_Oord__class_Oless__eq(_u2491, c_Groups_Ozero__class_Ozero(_u2491), _u2492) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2494) | c_Orderings_Oord__class_Oless(_u2491, hAPP(hAPP(c_Power_Opower__class_Opower(_u2491), _u2492), _u2494), hAPP(hAPP(c_Power_Opower__class_Opower(_u2491), _u2493), _u2494)) )).
% 12.20/12.38 cnf(matrix-1327, plain, ( ~class_Rings_Olinordered__semidom(_u2495) | ~c_Orderings_Oord__class_Oless(_u2495, c_Groups_Oone__class_Oone(_u2495), _u2496) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2497) | c_Orderings_Oord__class_Oless(_u2495, c_Groups_Oone__class_Oone(_u2495), hAPP(hAPP(c_Power_Opower__class_Opower(_u2495), _u2496), _u2497)) )).
% 12.20/12.38 cnf(matrix-1328, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2499, _u2500)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), _u2499)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2498), _u2500))) )).
% 12.20/12.38 cnf(matrix-1329, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2501), _u2502)), _u2503) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2502), _u2503))) )).
% 12.20/12.38 cnf(matrix-1330, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2504) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2504), _u2505)) )).
% 12.20/12.38 cnf(matrix-1331, 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), _u2508), _u2510)) | ( _u2510 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2508) )).
% 12.20/12.38 cnf(matrix-1332, 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), _u2509), _u2511)) | ( _u2511 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1333, 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), _u2509), _u2511)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2509) )).
% 12.20/12.38 cnf(matrix-1334, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2512)), _u2513) = c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2512), _u2513))) )).
% 12.20/12.38 cnf(matrix-1335, plain, ( ( c_RealDef_Oreal(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2514), _u2515)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2514)), _u2515)) )).
% 12.20/12.38 cnf(matrix-1336, 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), _u2518), _u2520)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2518) | ( _u2520 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1337, 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), _u2519), _u2521)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2519) )).
% 12.20/12.38 cnf(matrix-1338, 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), _u2519), _u2521)) | ( _u2521 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1339, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2522) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2522), _u2523), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2522), _u2524)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2523, _u2524) )).
% 12.20/12.38 cnf(matrix-1340, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u2525) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.20/12.38 cnf(matrix-1341, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2528), _u2530) != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2530 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2528 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.20/12.38 cnf(matrix-1342, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2529), _u2531) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2531 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1343, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u2529), _u2531) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2529 != c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 12.20/12.38 cnf(matrix-1344, plain, ( ( _u2532 != c_RealDef_Oreal(tc_Nat_Onat, c_RComplete_Onatfloor(_u2532))) | ( c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2532), _u2533)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_RComplete_Onatfloor(_u2532)), _u2533)) )).
% 12.20/12.38 cnf(matrix-1345, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2534) | ( _u2535 = c_Groups_Ozero__class_Ozero(_u2534)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2534), _u2535), _u2536) != c_Groups_Ozero__class_Ozero(_u2534)) )).
% 12.20/12.38 cnf(matrix-1346, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2537) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2537), _u2538), _u2539)), _u2540) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2537), hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), _u2538), _u2540)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2537), _u2539), _u2540))) )).
% 12.20/12.38 cnf(matrix-1347, plain, ( ~class_Groups_Omonoid__mult(_u2541) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2541), hAPP(hAPP(c_Power_Opower__class_Opower(_u2541), _u2542), _u2543)), _u2542) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2541), _u2542), hAPP(hAPP(c_Power_Opower__class_Opower(_u2541), _u2542), _u2543))) )).
% 12.20/12.38 cnf(matrix-1348, plain, ( ~class_Groups_Omonoid__mult(_u2544) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2544), c_Groups_Oone__class_Oone(_u2544)), _u2545) = c_Groups_Oone__class_Oone(_u2544)) )).
% 12.20/12.38 cnf(matrix-1349, plain, ( ~class_Fields_Ofield__inverse__zero(_u2546) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), c_Rings_Oinverse__class_Odivide(_u2546, _u2547, _u2548)), _u2549) = c_Rings_Oinverse__class_Odivide(_u2546, hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), _u2547), _u2549), hAPP(hAPP(c_Power_Opower__class_Opower(_u2546), _u2548), _u2549))) )).
% 12.20/12.38 cnf(matrix-1350, plain, ( ~class_Groups_Omonoid__mult(_u2550) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), _u2551), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u2552), _u2553)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), hAPP(hAPP(c_Power_Opower__class_Opower(_u2550), _u2551), _u2552)), _u2553)) )).
% 12.20/12.38 cnf(matrix-1351, plain, ( ~class_Groups_Omonoid__mult(_u2554) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2554), _u2555), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2555) )).
% 12.20/12.38 cnf(matrix-1352, plain, ( ~class_Rings_Olinordered__semidom(_u2556) | ~c_Orderings_Oord__class_Oless__eq(_u2556, c_Groups_Ozero__class_Ozero(_u2556), _u2557) | c_Orderings_Oord__class_Oless__eq(_u2556, c_Groups_Ozero__class_Ozero(_u2556), hAPP(hAPP(c_Power_Opower__class_Opower(_u2556), _u2557), _u2558)) )).
% 12.20/12.38 cnf(matrix-1353, plain, ( ~class_Rings_Olinordered__semidom(_u2559) | ~c_Orderings_Oord__class_Oless__eq(_u2559, _u2560, _u2561) | ~c_Orderings_Oord__class_Oless__eq(_u2559, c_Groups_Ozero__class_Ozero(_u2559), _u2560) | c_Orderings_Oord__class_Oless__eq(_u2559, hAPP(hAPP(c_Power_Opower__class_Opower(_u2559), _u2560), _u2562), hAPP(hAPP(c_Power_Opower__class_Opower(_u2559), _u2561), _u2562)) )).
% 12.20/12.38 cnf(matrix-1354, plain, ( ~class_Rings_Olinordered__semidom(_u2563) | ~c_Orderings_Oord__class_Oless(_u2563, c_Groups_Ozero__class_Ozero(_u2563), _u2564) | c_Orderings_Oord__class_Oless(_u2563, c_Groups_Ozero__class_Ozero(_u2563), hAPP(hAPP(c_Power_Opower__class_Opower(_u2563), _u2564), _u2565)) )).
% 12.20/12.38 cnf(matrix-1355, plain, ( ~class_Rings_Olinordered__semidom(_u2566) | ~c_Orderings_Oord__class_Oless__eq(_u2566, c_Groups_Oone__class_Oone(_u2566), _u2567) | c_Orderings_Oord__class_Oless__eq(_u2566, c_Groups_Oone__class_Oone(_u2566), hAPP(hAPP(c_Power_Opower__class_Opower(_u2566), _u2567), _u2568)) )).
% 12.20/12.38 cnf(matrix-1356, plain, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2570 = c_Groups_Ozero__class_Ozero(_u2569)) )).
% 12.20/12.38 cnf(matrix-1357, plain, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2571 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1358, plain, ( ~class_Power_Opower(_u2569) | ~class_Rings_Omult__zero(_u2569) | ~class_Rings_Ono__zero__divisors(_u2569) | ~class_Rings_Ozero__neq__one(_u2569) | ( _u2570 != c_Groups_Ozero__class_Ozero(_u2569)) | ( _u2571 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2569), _u2570), _u2571) = c_Groups_Ozero__class_Ozero(_u2569)) )).
% 12.20/12.38 cnf(matrix-1359, plain, ( ~class_Rings_Olinordered__semidom(_u2572) | ~c_Orderings_Oord__class_Oless(_u2572, c_Groups_Oone__class_Oone(_u2572), _u2573) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2574) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2575)) | ( _u2574 = _u2575) )).
% 12.20/12.38 cnf(matrix-1360, plain, ( ~class_Rings_Olinordered__semidom(_u2572) | ~c_Orderings_Oord__class_Oless(_u2572, c_Groups_Oone__class_Oone(_u2572), _u2573) | ( _u2574 != _u2575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2574) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2572), _u2573), _u2575)) )).
% 12.20/12.38 cnf(matrix-1361, plain, ( ~class_Power_Opower(_u2576) | ~class_Rings_Osemiring__0(_u2576) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2576), c_Groups_Ozero__class_Ozero(_u2576)), c_Nat_OSuc(_u2577)) = c_Groups_Ozero__class_Ozero(_u2576)) )).
% 12.20/12.38 cnf(matrix-1362, plain, ( ~class_Fields_Ofield(_u2578) | ( _u2579 = c_Groups_Ozero__class_Ozero(_u2578)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), c_Rings_Oinverse__class_Odivide(_u2578, _u2580, _u2579)), _u2581) = c_Rings_Oinverse__class_Odivide(_u2578, hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), _u2580), _u2581), hAPP(hAPP(c_Power_Opower__class_Opower(_u2578), _u2579), _u2581))) )).
% 12.20/12.38 cnf(matrix-1363, plain, ( ~class_Groups_Omonoid__mult(_u2582) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2582), _u2583), c_Nat_OSuc(_u2584)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2582), hAPP(hAPP(c_Power_Opower__class_Opower(_u2582), _u2583), _u2584)), _u2583)) )).
% 12.20/12.38 cnf(matrix-1364, plain, ( ~class_Power_Opower(_u2585) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2585), _u2586), c_Nat_OSuc(_u2587)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2585), _u2586), hAPP(hAPP(c_Power_Opower__class_Opower(_u2585), _u2586), _u2587))) )).
% 12.20/12.38 cnf(matrix-1365, plain, ( ~class_Power_Opower(_u2588) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2588), _u2589), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2588)) )).
% 12.20/12.38 cnf(matrix-1366, plain, ( ~class_Groups_Omonoid__mult(_u2590) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2592, _u2593)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2590), hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), _u2592)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2590), _u2591), _u2593))) )).
% 12.20/12.38 cnf(matrix-1367, plain, ( ~class_Fields_Ofield__inverse__zero(_u2594) | ( c_Rings_Oinverse__class_Odivide(_u2594, c_Groups_Oone__class_Oone(_u2594), hAPP(hAPP(c_Power_Opower__class_Opower(_u2594), _u2595), _u2596)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u2594), c_Rings_Oinverse__class_Odivide(_u2594, c_Groups_Oone__class_Oone(_u2594), _u2595)), _u2596)) )).
% 12.20/12.38 cnf(matrix-1368, plain, ( ~class_Rings_Olinordered__semidom(_u2597) | ~c_Orderings_Oord__class_Oless(_u2597, hAPP(hAPP(c_Power_Opower__class_Opower(_u2597), _u2598), _u2599), hAPP(hAPP(c_Power_Opower__class_Opower(_u2597), _u2600), _u2599)) | ~c_Orderings_Oord__class_Oless__eq(_u2597, c_Groups_Ozero__class_Ozero(_u2597), _u2600) | c_Orderings_Oord__class_Oless(_u2597, _u2598, _u2600) )).
% 12.20/12.38 cnf(matrix-1369, plain, ( ~class_Rings_Olinordered__semidom(_u2601) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2601), _u2602), c_Nat_OSuc(_u2603)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2601), _u2604), c_Nat_OSuc(_u2603))) | ~c_Orderings_Oord__class_Oless__eq(_u2601, c_Groups_Ozero__class_Ozero(_u2601), _u2602) | ~c_Orderings_Oord__class_Oless__eq(_u2601, c_Groups_Ozero__class_Ozero(_u2601), _u2604) | ( _u2602 = _u2604) )).
% 12.20/12.38 cnf(matrix-1370, plain, ( ~class_Rings_Olinordered__semidom(_u2605) | ~c_Orderings_Oord__class_Oless__eq(_u2605, hAPP(hAPP(c_Power_Opower__class_Opower(_u2605), _u2606), c_Nat_OSuc(_u2607)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2605), _u2608), c_Nat_OSuc(_u2607))) | ~c_Orderings_Oord__class_Oless__eq(_u2605, c_Groups_Ozero__class_Ozero(_u2605), _u2608) | c_Orderings_Oord__class_Oless__eq(_u2605, _u2606, _u2608) )).
% 12.20/12.38 cnf(matrix-1371, plain, ( ~class_Rings_Olinordered__semidom(_u2609) | ~c_Orderings_Oord__class_Oless(_u2609, c_Groups_Oone__class_Oone(_u2609), _u2610) | c_Orderings_Oord__class_Oless(_u2609, c_Groups_Oone__class_Oone(_u2609), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2609), _u2610), hAPP(hAPP(c_Power_Opower__class_Opower(_u2609), _u2610), _u2611))) )).
% 12.20/12.38 cnf(matrix-1372, plain, ( ~class_Rings_Olinordered__semidom(_u2612) | ~c_Orderings_Oord__class_Oless(_u2612, c_Groups_Oone__class_Oone(_u2612), _u2613) | c_Orderings_Oord__class_Oless(_u2612, hAPP(hAPP(c_Power_Opower__class_Opower(_u2612), _u2613), _u2614), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2612), _u2613), hAPP(hAPP(c_Power_Opower__class_Opower(_u2612), _u2613), _u2614))) )).
% 12.20/12.38 cnf(matrix-1373, plain, ( ~class_Power_Opower(_u2615) | ~class_Rings_Osemiring__0(_u2615) | ( _u2616 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2615), c_Groups_Ozero__class_Ozero(_u2615)), _u2616) = c_Groups_Oone__class_Oone(_u2615)) )).
% 12.20/12.38 cnf(matrix-1374, plain, ( ~class_Power_Opower(_u2615) | ~class_Rings_Osemiring__0(_u2615) | ( _u2616 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2615), c_Groups_Ozero__class_Ozero(_u2615)), _u2616) = c_Groups_Ozero__class_Ozero(_u2615)) )).
% 12.20/12.38 cnf(matrix-1375, plain, ( ~class_Rings_Olinordered__semidom(_u2617) | ~c_Orderings_Oord__class_Oless(_u2617, c_Groups_Oone__class_Oone(_u2617), _u2618) | c_Orderings_Oord__class_Oless(_u2617, c_Groups_Oone__class_Oone(_u2617), hAPP(hAPP(c_Power_Opower__class_Opower(_u2617), _u2618), c_Nat_OSuc(_u2619))) )).
% 12.20/12.38 cnf(matrix-1376, plain, ( ~class_Rings_Oring__1(_u2620) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), c_Groups_Ouminus__class_Ouminus(_u2620, _u2621)), _u2622) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2620), hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), c_Groups_Ouminus__class_Ouminus(_u2620, c_Groups_Oone__class_Oone(_u2620))), _u2622)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2620), _u2621), _u2622))) )).
% 12.20/12.38 cnf(matrix-1377, plain, ( ~class_Rings_Olinordered__semidom(_u2623) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2624, _u2625) | ~c_Orderings_Oord__class_Oless(_u2623, c_Groups_Oone__class_Oone(_u2623), _u2626) | c_Orderings_Oord__class_Oless(_u2623, hAPP(hAPP(c_Power_Opower__class_Opower(_u2623), _u2626), _u2624), hAPP(hAPP(c_Power_Opower__class_Opower(_u2623), _u2626), _u2625)) )).
% 12.20/12.38 cnf(matrix-1378, plain, ( ~class_Rings_Olinordered__semidom(_u2627) | ~c_Orderings_Oord__class_Oless(_u2627, c_Groups_Oone__class_Oone(_u2627), _u2628) | ~c_Orderings_Oord__class_Oless(_u2627, hAPP(hAPP(c_Power_Opower__class_Opower(_u2627), _u2628), _u2629), hAPP(hAPP(c_Power_Opower__class_Opower(_u2627), _u2628), _u2630)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2629, _u2630) )).
% 12.20/12.38 cnf(matrix-1379, plain, ( ~class_Rings_Olinordered__semidom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oone__class_Oone(_u2631), _u2632) | ~c_Orderings_Oord__class_Oless(_u2631, hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2633), hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2634)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2633, _u2634) )).
% 12.20/12.38 cnf(matrix-1380, plain, ( ~class_Rings_Olinordered__semidom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oone__class_Oone(_u2631), _u2632) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2633, _u2634) | c_Orderings_Oord__class_Oless(_u2631, hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2633), hAPP(hAPP(c_Power_Opower__class_Opower(_u2631), _u2632), _u2634)) )).
% 12.20/12.38 cnf(matrix-1381, plain, ( ~class_Rings_Olinordered__semidom(_u2635) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2636, _u2637) | ~c_Orderings_Oord__class_Oless__eq(_u2635, c_Groups_Oone__class_Oone(_u2635), _u2638) | c_Orderings_Oord__class_Oless__eq(_u2635, hAPP(hAPP(c_Power_Opower__class_Opower(_u2635), _u2638), _u2636), hAPP(hAPP(c_Power_Opower__class_Opower(_u2635), _u2638), _u2637)) )).
% 12.20/12.38 cnf(matrix-1382, plain, ( ~class_Rings_Olinordered__semidom(_u2639) | ~c_Orderings_Oord__class_Oless(_u2639, c_Groups_Ozero__class_Ozero(_u2639), _u2640) | ~c_Orderings_Oord__class_Oless(_u2639, _u2640, c_Groups_Oone__class_Oone(_u2639)) | c_Orderings_Oord__class_Oless(_u2639, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u2639), _u2640), hAPP(hAPP(c_Power_Opower__class_Opower(_u2639), _u2640), _u2641)), hAPP(hAPP(c_Power_Opower__class_Opower(_u2639), _u2640), _u2641)) )).
% 12.20/12.38 cnf(matrix-1383, plain, ( ~class_Rings_Olinordered__semidom(_u2642) | ~c_Orderings_Oord__class_Oless(_u2642, c_Groups_Ozero__class_Ozero(_u2642), _u2643) | ~c_Orderings_Oord__class_Oless(_u2642, _u2643, c_Groups_Oone__class_Oone(_u2642)) | c_Orderings_Oord__class_Oless(_u2642, hAPP(hAPP(c_Power_Opower__class_Opower(_u2642), _u2643), c_Nat_OSuc(_u2644)), c_Groups_Oone__class_Oone(_u2642)) )).
% 12.20/12.38 cnf(matrix-1384, plain, ( ~class_Rings_Olinordered__semidom(_u2645) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2646, _u2647) | ~c_Orderings_Oord__class_Oless(_u2645, c_Groups_Ozero__class_Ozero(_u2645), _u2648) | ~c_Orderings_Oord__class_Oless(_u2645, _u2648, c_Groups_Oone__class_Oone(_u2645)) | c_Orderings_Oord__class_Oless(_u2645, hAPP(hAPP(c_Power_Opower__class_Opower(_u2645), _u2648), _u2647), hAPP(hAPP(c_Power_Opower__class_Opower(_u2645), _u2648), _u2646)) )).
% 12.20/12.38 cnf(matrix-1385, plain, ( ~class_Rings_Olinordered__semidom(_u2649) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u2649), _u2650), _u2651) != hAPP(hAPP(c_Power_Opower__class_Opower(_u2649), _u2652), _u2651)) | ~c_Orderings_Oord__class_Oless__eq(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2650) | ~c_Orderings_Oord__class_Oless__eq(_u2649, c_Groups_Ozero__class_Ozero(_u2649), _u2652) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2651) | ( _u2650 = _u2652) )).
% 12.20/12.38 cnf(matrix-1386, plain, ( ~class_Rings_Olinordered__semidom(_u2653) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2654, _u2655) | ~c_Orderings_Oord__class_Oless__eq(_u2653, c_Groups_Ozero__class_Ozero(_u2653), _u2656) | ~c_Orderings_Oord__class_Oless__eq(_u2653, _u2656, c_Groups_Oone__class_Oone(_u2653)) | c_Orderings_Oord__class_Oless__eq(_u2653, hAPP(hAPP(c_Power_Opower__class_Opower(_u2653), _u2656), _u2655), hAPP(hAPP(c_Power_Opower__class_Opower(_u2653), _u2656), _u2654)) )).
% 12.20/12.38 cnf(matrix-1387, plain, ( ~class_Rings_Olinordered__semidom(_u2657) | ~c_Orderings_Oord__class_Oless(_u2657, c_Groups_Oone__class_Oone(_u2657), _u2658) | ~c_Orderings_Oord__class_Oless__eq(_u2657, hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2659), hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2660)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2659, _u2660) )).
% 12.20/12.38 cnf(matrix-1388, plain, ( ~class_Rings_Olinordered__semidom(_u2657) | ~c_Orderings_Oord__class_Oless(_u2657, c_Groups_Oone__class_Oone(_u2657), _u2658) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2659, _u2660) | c_Orderings_Oord__class_Oless__eq(_u2657, hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2659), hAPP(hAPP(c_Power_Opower__class_Opower(_u2657), _u2658), _u2660)) )).
% 12.20/12.38 cnf(matrix-1389, plain, ( ~class_Rings_Olinordered__semidom(_u2661) | ~c_Orderings_Oord__class_Oless(_u2661, c_Groups_Oone__class_Oone(_u2661), _u2662) | ~c_Orderings_Oord__class_Oless__eq(_u2661, hAPP(hAPP(c_Power_Opower__class_Opower(_u2661), _u2662), _u2663), hAPP(hAPP(c_Power_Opower__class_Opower(_u2661), _u2662), _u2664)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2663, _u2664) )).
% 12.20/12.38 cnf(matrix-1390, plain, ( ( _u2666 = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) | ( _u2667 = 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), _u2666), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), skolem68(_u2667, _u2666)), _u2667)))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 12.20/12.38 cnf(matrix-1391, plain, ( ~class_Power_Opower(_u2668) | ( c_Power_Opower__class_Opower(_u2668) = c_Power_Opower_Opower(_u2668, c_Groups_Oone__class_Oone(_u2668), c_Groups_Otimes__class_Otimes(_u2668))) )).
% 12.20/12.38 cnf(matrix-1392, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2669, _u2670)), _u2671), _u2670) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u2669), _u2671), _u2670)) )).
% 12.20/12.38 cnf(matrix-1393, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2672) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2673, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2674), _u2672)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2673, _u2674), _u2672)) )).
% 12.20/12.38 cnf(matrix-1394, plain, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2676, _u2678) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2678, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1395, plain, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2678, _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2676) )).
% 12.20/12.38 cnf(matrix-1396, plain, ( ( _u2675 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2676), _u2677), _u2678)) | ( _u2676 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2675, _u2676) = _u2677) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2678) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2678, _u2676) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2676, _u2678) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2678, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1397, plain, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ( _u2694 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2690, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 12.20/12.38 cnf(matrix-1398, plain, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2694) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2679) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2679, _u2694) | ( _u2692 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2694), _u2680), _u2679)) | hBOOL(hAPP(_u2690, _u2680)) )).
% 12.20/12.38 cnf(matrix-1399, plain, ( ~hBOOL(hAPP(_u2690, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2692, _u2694))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2694, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2694, _u2681) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2681, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2692 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2694), _u2682), _u2681)) | hBOOL(hAPP(_u2690, _u2682)) )).
% 12.20/12.38 cnf(matrix-1400, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1401, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1402, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1403, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1404, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1405, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1406, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1407, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1408, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1409, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1410, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1411, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1412, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1413, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1414, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1415, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1416, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1417, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1418, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1419, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1420, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1421, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1422, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1423, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1424, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1425, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1426, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1427, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1428, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1429, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ( _u2695 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1430, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1431, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1432, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1433, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1434, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2695, skolem72(_u2695, _u2693, _u2691)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1435, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1436, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1437, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1438, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1439, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem72(_u2695, _u2693, _u2691), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1440, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1441, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1442, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1443, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1444, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem71(_u2695, _u2693, _u2691)), skolem72(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1445, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2695) )).
% 12.20/12.38 cnf(matrix-1446, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, 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), skolem70(_u2695, _u2693, _u2691)) )).
% 12.20/12.38 cnf(matrix-1447, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem70(_u2695, _u2693, _u2691), _u2695) )).
% 12.20/12.38 cnf(matrix-1448, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u2693 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2695), skolem69(_u2695, _u2693, _u2691)), skolem70(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1449, plain, ( hBOOL(hAPP(_u2691, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2693, _u2695))) | ~hBOOL(hAPP(_u2691, skolem71(_u2695, _u2693, _u2691))) | ~hBOOL(hAPP(_u2691, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u2691, skolem69(_u2695, _u2693, _u2691))) )).
% 12.20/12.38 cnf(matrix-1450, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2696)), _u2697) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2696), _u2697))) )).
% 12.20/12.38 cnf(matrix-1451, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2698, _u2699) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2700) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2700), _u2698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2700), _u2699)) )).
% 12.20/12.38 cnf(matrix-1452, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2701 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1453, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2701) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2702 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1454, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2701) | ( _u2701 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u2702 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2701), _u2702) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1455, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2703) = _u2703) )).
% 12.20/12.38 cnf(matrix-1456, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2704), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u2704) )).
% 12.20/12.38 cnf(matrix-1457, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2706, _u2707)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), _u2706), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2705), _u2707))) )).
% 12.20/12.38 cnf(matrix-1458, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2708, _u2709)), _u2710) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2708), _u2710), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2709), _u2710))) )).
% 12.20/12.38 cnf(matrix-1459, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2711), _u2712)), _u2713) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2712), _u2713))) )).
% 12.20/12.38 cnf(matrix-1460, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2714), _u2715) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2715), _u2714)) )).
% 12.20/12.38 cnf(matrix-1461, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2716), _u2717), _u2718) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2719), _u2720), _u2721)) | ~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), _u2719), _u2720), _u2721), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2718, _u2716) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2721) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2719) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2719, _u2716) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2720, _u2717) )).
% 12.20/12.38 cnf(matrix-1462, 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), _u2722), _u2723), _u2724), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2722), _u2725), _u2726)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2726, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2722, _u2726) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2722, _u2724) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2725, _u2723) )).
% 12.20/12.38 cnf(matrix-1463, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2727), _u2728), _u2729) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2730), _u2731), _u2732)) | ~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), _u2730), _u2731), _u2732)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2732, _u2730) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2729) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2730) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2730, _u2727) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2728, _u2731) )).
% 12.20/12.38 cnf(matrix-1464, 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), _u2733), _u2734), _u2735), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2733), _u2736), _u2737)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2735) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2735, _u2733) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2737, _u2733) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2734, _u2736) )).
% 12.20/12.38 cnf(matrix-1465, 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), _u2738), _u2739), _u2740), 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), _u2740) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2738) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2739, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1466, 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), _u2741), _u2742), _u2743)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2743, _u2741) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2741) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2742) )).
% 12.20/12.38 cnf(matrix-1467, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2744) | ( _u2744 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2745, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2744), _u2746))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2745, _u2744) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2746) )).
% 12.20/12.38 cnf(matrix-1468, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2747) | ( _u2747 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2748, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2747), _u2749))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2748) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2749, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1469, plain, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ( _u2765 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u2761, _u2763)) )).
% 12.20/12.38 cnf(matrix-1470, plain, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2765) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2750) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2750, _u2765) | ( _u2763 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2765), _u2751), _u2750)) | hBOOL(hAPP(_u2761, _u2750)) )).
% 12.20/12.38 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(_u2761, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2763, _u2765))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2765, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2765, _u2752) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2752, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2763 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2765), _u2753), _u2752)) | hBOOL(hAPP(_u2761, _u2752)) )).
% 12.20/12.38 cnf(matrix-1472, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1473, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1474, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1475, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1476, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1477, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1478, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1479, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1480, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1481, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1482, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1483, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1484, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1485, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1486, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1487, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1488, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1489, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1490, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1491, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1492, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1493, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1494, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1495, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1496, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1497, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1498, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = 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), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1499, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1500, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1501, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ( _u2766 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1502, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1503, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1504, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1505, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1506, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2766, skolem76(_u2766, _u2764, _u2762)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1507, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1508, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1509, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1510, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1511, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem76(_u2766, _u2764, _u2762), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1512, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1513, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1514, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1515, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1516, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem75(_u2766, _u2764, _u2762)), skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1517, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2766) )).
% 12.20/12.38 cnf(matrix-1518, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem74(_u2766, _u2764, _u2762)) )).
% 12.20/12.38 cnf(matrix-1519, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem74(_u2766, _u2764, _u2762), _u2766) )).
% 12.20/12.38 cnf(matrix-1520, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ( _u2764 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2766), skolem73(_u2766, _u2764, _u2762)), skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1521, plain, ( hBOOL(hAPP(_u2762, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2764, _u2766))) | ~hBOOL(hAPP(_u2762, skolem76(_u2766, _u2764, _u2762))) | ~hBOOL(hAPP(_u2762, _u2764)) | ~hBOOL(hAPP(_u2762, skolem74(_u2766, _u2764, _u2762))) )).
% 12.20/12.38 cnf(matrix-1522, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2767) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2768) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2768, _u2769) | 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), _u2769), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2770, _u2767)), _u2768)) )).
% 12.20/12.38 cnf(matrix-1523, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2771) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2772) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2772, _u2773) | 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), _u2773), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2774, _u2771)), _u2772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2773), _u2771)) )).
% 12.20/12.38 cnf(matrix-1524, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2775) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2776, _u2777) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2777, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2776), _u2775), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2776), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2778, _u2775)), _u2777)) )).
% 12.20/12.38 cnf(matrix-1525, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2779) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2780, _u2781) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2781, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | 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), _u2780), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2782, _u2779)), _u2781), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1526, plain, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2784, _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1527, plain, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2786, _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2784) )).
% 12.20/12.38 cnf(matrix-1528, plain, ( ( _u2783 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2784), _u2785), _u2786)) | ( _u2784 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2783, _u2784) = _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2786, _u2784) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2784, _u2786) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1529, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2791, _u2793) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2791 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2793), skolem77(_u2793, _u2791))) )).
% 12.20/12.38 cnf(matrix-1530, plain, ( ( _u2792 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2794), _u2788)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2792, _u2794) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1531, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2795), _u2796), _u2797) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2795), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2796, _u2797)), _u2797)) )).
% 12.20/12.38 cnf(matrix-1532, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2798), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2799, _u2800)), _u2800) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2798), _u2799), _u2800)) )).
% 12.20/12.38 cnf(matrix-1533, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | ~hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2801) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2801, _u2805) | ( _u2807 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2805), _u2802), _u2801)) | hBOOL(hAPP(hAPP(_u2806, _u2802), _u2801)) )).
% 12.20/12.38 cnf(matrix-1534, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), skolem79(_u2807, _u2806, _u2805)) )).
% 12.20/12.38 cnf(matrix-1535, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, skolem79(_u2807, _u2806, _u2805), _u2805) )).
% 12.20/12.38 cnf(matrix-1536, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ( _u2807 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2805), skolem78(_u2807, _u2806, _u2805)), skolem79(_u2807, _u2806, _u2805))) )).
% 12.20/12.38 cnf(matrix-1537, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2805) | hBOOL(hAPP(hAPP(_u2806, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2807, _u2805)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2807, _u2805))) | ~hBOOL(hAPP(hAPP(_u2806, skolem78(_u2807, _u2806, _u2805)), skolem79(_u2807, _u2806, _u2805))) )).
% 12.20/12.38 cnf(matrix-1538, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, _u2808) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2808, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2814 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2812), _u2809), _u2808)) | hBOOL(hAPP(hAPP(_u2813, _u2809), _u2808)) )).
% 12.20/12.38 cnf(matrix-1539, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, skolem81(_u2814, _u2813, _u2812)) )).
% 12.20/12.38 cnf(matrix-1540, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, skolem81(_u2814, _u2813, _u2812), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1541, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ( _u2814 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2812), skolem80(_u2814, _u2813, _u2812)), skolem81(_u2814, _u2813, _u2812))) )).
% 12.20/12.38 cnf(matrix-1542, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2812, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(_u2813, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2814, _u2812)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2814, _u2812))) | ~hBOOL(hAPP(hAPP(_u2813, skolem80(_u2814, _u2813, _u2812)), skolem81(_u2814, _u2813, _u2812))) )).
% 12.20/12.38 cnf(matrix-1543, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2815) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2817), _u2815)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2817), c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2816, _u2817), _u2815)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2816, _u2817))) )).
% 12.20/12.38 cnf(matrix-1544, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2818, _u2819)), _u2819), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2818, _u2819)), _u2820) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2818, _u2820)) )).
% 12.20/12.38 cnf(matrix-1545, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2821), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2822, _u2821)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2822, _u2821)), _u2823) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2822, _u2823)) )).
% 12.20/12.38 cnf(matrix-1546, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), _u2825), _u2826) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2825, _u2826)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2824), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2825, _u2826)), _u2826))) )).
% 12.20/12.38 cnf(matrix-1547, plain, ( ( _u2827 = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u2828), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2827, _u2828)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2827, _u2828))) )).
% 12.20/12.38 cnf(matrix-1548, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2829, _u2830, _u2831), _u2832), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2830) )).
% 12.20/12.38 cnf(matrix-1549, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u2833, _u2834, _u2835), _u2836), c_Nat_OSuc(_u2837)) = hAPP(hAPP(_u2835, _u2836), hAPP(hAPP(c_Power_Opower_Opower(_u2833, _u2834, _u2835), _u2836), _u2837))) )).
% 12.20/12.38 cnf(matrix-1550, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex), c_Complex_Orcis(_u2838, _u2839)), _u2840) = c_Complex_Orcis(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u2838), _u2840), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, _u2840)), _u2839))) )).
% 12.20/12.38 cnf(matrix-1551, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2842) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2843) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem82(_u2843, _u2842)) )).
% 12.20/12.38 cnf(matrix-1552, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2842) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2843) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), skolem82(_u2843, _u2842)), _u2842) = _u2843) )).
% 12.20/12.38 cnf(matrix-1553, plain, ( ( _u2844 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2844, _u2844) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1554, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2845) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2846) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2845, _u2846), _u2845) )).
% 12.20/12.38 cnf(matrix-1555, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2848) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2848) )).
% 12.20/12.38 cnf(matrix-1556, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2849) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u2849) )).
% 12.20/12.38 cnf(matrix-1557, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2852, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2854, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2852, _u2854) )).
% 12.20/12.38 cnf(matrix-1558, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2853, _u2855) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2853, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2855, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 12.20/12.38 cnf(matrix-1559, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2858, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2860) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2858, _u2860) )).
% 12.20/12.38 cnf(matrix-1560, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2859, _u2861) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2859, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2861) )).
% 12.20/12.38 cnf(matrix-1561, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2862) | 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), _u2862)) )).
% 12.20/12.38 cnf(matrix-1562, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2863, _u2864) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2863, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u2864) )).
% 12.20/12.38 cnf(matrix-1563, 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), _u2866), _u2866), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2866, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1564, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2867, 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), _u2867), _u2867), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1565, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2870, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2872, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2870, _u2872) | ( _u2870 = _u2872) )).
% 12.20/12.38 cnf(matrix-1566, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2873, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, _u2873) )).
% 12.20/12.38 cnf(matrix-1567, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2871, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2873, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u2871 != _u2873) )).
% 12.20/12.38 cnf(matrix-1568, 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)) )).
% 12.20/12.38 cnf(matrix-1569, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1570, 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), _u2874), _u2874) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1571, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2875, _u2876), _u2877) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2875, _u2877), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2876, _u2877)), c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2875, _u2877), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2876, _u2877)), _u2877))) )).
% 12.20/12.38 cnf(matrix-1572, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2878, _u2879), _u2879) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1573, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2881, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1574, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2882, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2882) )).
% 12.20/12.38 cnf(matrix-1575, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2883) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2883, _u2884), _u2883) )).
% 12.20/12.38 cnf(matrix-1576, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2885) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2886) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2885, _u2886)) )).
% 12.20/12.38 cnf(matrix-1577, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2887, _u2887) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1578, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2888) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1579, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2889, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2890)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2889, _u2890) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1580, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2891), _u2892) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2891, _u2892) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1581, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2893) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2894, _u2893), _u2893) )).
% 12.20/12.38 cnf(matrix-1582, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2895, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2896, _u2895)) )).
% 12.20/12.38 cnf(matrix-1583, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2897, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2898)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2897), _u2898))) )).
% 12.20/12.38 cnf(matrix-1584, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2899), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2900)) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2899, _u2900))) )).
% 12.20/12.38 cnf(matrix-1585, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2901, _u2902)), _u2902) = c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2901), _u2902)) )).
% 12.20/12.38 cnf(matrix-1586, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2903, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2904, _u2903) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2903, _u2904) = _u2903) )).
% 12.20/12.38 cnf(matrix-1587, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2906, _u2905), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1588, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2905, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2906, _u2905)) )).
% 12.20/12.38 cnf(matrix-1589, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2907, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2908, _u2907), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1590, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2909) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2909, _u2910), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2909, _u2910) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2909, _u2910)) )).
% 12.20/12.38 cnf(matrix-1591, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2911) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2911, _u2912) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2911, _u2912) = _u2911) )).
% 12.20/12.38 cnf(matrix-1592, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2913) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2914, _u2913)) )).
% 12.20/12.38 cnf(matrix-1593, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2913) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2914, _u2913), _u2913) )).
% 12.20/12.38 cnf(matrix-1594, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2915) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u2916, _u2915)) )).
% 12.20/12.38 cnf(matrix-1595, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2917, _u2918) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2919, _u2917), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2919, _u2918)) )).
% 12.20/12.38 cnf(matrix-1596, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2920, _u2920) )).
% 12.20/12.38 cnf(matrix-1597, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2921, _u2922) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2922, _u2921) )).
% 12.20/12.38 cnf(matrix-1598, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2923, _u2924) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2924, _u2925) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2923, _u2925) )).
% 12.20/12.38 cnf(matrix-1599, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2926, _u2927) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2927, _u2926) | ( _u2926 = _u2927) )).
% 12.20/12.38 cnf(matrix-1600, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2928, _u2929), _u2930) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2928, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2929, _u2930))) )).
% 12.20/12.38 cnf(matrix-1601, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2932, _u2933)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2932, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2931, _u2933))) )).
% 12.20/12.38 cnf(matrix-1602, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2934, _u2935) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2935, _u2934)) )).
% 12.20/12.38 cnf(matrix-1603, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2936, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u2936) )).
% 12.20/12.38 cnf(matrix-1604, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2937) = _u2937) )).
% 12.20/12.38 cnf(matrix-1605, 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)) )).
% 12.20/12.38 cnf(matrix-1606, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2938, _u2939)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2938), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2939))) )).
% 12.20/12.38 cnf(matrix-1607, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2940), _u2940) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1608, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2941, _u2942) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2941, _u2943), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2942, _u2943)) )).
% 12.20/12.38 cnf(matrix-1609, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2944)) = _u2944) )).
% 12.20/12.38 cnf(matrix-1610, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2945, _u2946) | ( _u2945 = _u2946) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2946, _u2945) )).
% 12.20/12.38 cnf(matrix-1611, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2949, _u2951) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2949, _u2951) )).
% 12.20/12.38 cnf(matrix-1612, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2949, _u2951) | ( _u2949 != _u2951) )).
% 12.20/12.38 cnf(matrix-1613, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2950, _u2952) | ( _u2950 = _u2952) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2950, _u2952) )).
% 12.20/12.38 cnf(matrix-1614, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2953, _u2954) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2955, _u2956) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2953, _u2955), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2954, _u2956)) )).
% 12.20/12.38 cnf(matrix-1615, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = 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), _u2959) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2959, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1616, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = 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), _u2959) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2959) )).
% 12.20/12.38 cnf(matrix-1617, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2959, _u2961) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2959, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1618, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2959, _u2961) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2961 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2959, _u2961) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2961, _u2959) )).
% 12.20/12.38 cnf(matrix-1619, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2962 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1620, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = 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), _u2960) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2960, _u2962) )).
% 12.20/12.38 cnf(matrix-1621, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2960, _u2962) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2960, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2962, _u2960) )).
% 12.20/12.38 cnf(matrix-1622, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2963) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2964, _u2963)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) )).
% 12.20/12.38 cnf(matrix-1623, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2963) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2964) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2964, _u2963)) )).
% 12.20/12.38 cnf(matrix-1624, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2965) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2966, _u2965)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2965, _u2966) )).
% 12.20/12.38 cnf(matrix-1625, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2965) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2965, _u2966) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2966, _u2965)) )).
% 12.20/12.38 cnf(matrix-1626, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2968, _u2967) )).
% 12.20/12.38 cnf(matrix-1627, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2968) )).
% 12.20/12.38 cnf(matrix-1628, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2967) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2968, _u2967) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2968) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2967, _u2968)) )).
% 12.20/12.38 cnf(matrix-1629, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2969) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2970) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2970, _u2971) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2969, _u2971), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2969, _u2970)) )).
% 12.20/12.38 cnf(matrix-1630, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2972) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2973, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2972, _u2973), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1631, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2974) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2974, _u2975) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2974, _u2975) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1632, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2976, 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), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2977, _u2976)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2977, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1633, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2976, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2977, 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), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2977, _u2976)) )).
% 12.20/12.38 cnf(matrix-1634, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2978, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2979) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2978, _u2979), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1635, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2980, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2981) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2981, _u2982) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2980, _u2981), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2980, _u2982)) )).
% 12.20/12.38 cnf(matrix-1636, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2983, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2984, _u2983) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2983, _u2984) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1637, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2985, _u2986) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2987) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2985, _u2987), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2986, _u2987)) )).
% 12.20/12.38 cnf(matrix-1638, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2988, _u2989) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2990, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2989, _u2990), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2988, _u2990)) )).
% 12.20/12.38 cnf(matrix-1639, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2991), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2992)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2991, _u2992)) )).
% 12.20/12.38 cnf(matrix-1640, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2993, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2994)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2993), _u2994)) )).
% 12.20/12.38 cnf(matrix-1641, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2995, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2996) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2995, _u2996), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1642, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2997, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2998, _u2997), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2998) )).
% 12.20/12.38 cnf(matrix-1643, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2997, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2998) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u2998, _u2997), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1644, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2999) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3000, _u2999), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3000, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1645, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2999) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u3000, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3000, _u2999), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1646, plain, ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3001) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 12.20/12.38 cnf(matrix-1647, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3002) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3003) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3002, _u3003)) )).
% 12.20/12.38 cnf(matrix-1648, plain, ( ( c_Complex_Orcis(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3004) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) )).
% 12.20/12.38 cnf(matrix-1649, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex), c_Complex_Orcis(_u3005, _u3006)), c_Complex_Orcis(_u3007, _u3008)) = c_Complex_Orcis(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal), _u3005), _u3007), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u3006, _u3008))) )).
% 12.20/12.38 cnf(matrix-1650, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3009) | 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), _u3009), _u3010)) )).
% 12.20/12.38 cnf(matrix-1651, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3011) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3012) | 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), _u3011), _u3012)) )).
% 12.20/12.38 cnf(matrix-1652, 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)) )).
% 12.20/12.38 cnf(matrix-1653, 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)) )).
% 12.20/12.38 cnf(matrix-1654, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3013) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3014) | 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, _u3013, _u3014)) )).
% 12.20/12.38 cnf(matrix-1655, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3017) | ( c_SMT_Oz3mod(_u3019, _u3017) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3019, _u3017)) )).
% 12.20/12.38 cnf(matrix-1656, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3018) | ( c_SMT_Oz3mod(_u3020, _u3018) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u3020, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u3018))) )).
% 12.20/12.38 cnf(matrix-1657, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3023) | ( c_SMT_Oz3div(_u3025, _u3023) = c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3025, _u3023)) )).
% 12.20/12.38 cnf(matrix-1658, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3024) | ( c_SMT_Oz3div(_u3026, _u3024) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Divides_Odiv__class_Odiv(tc_Int_Oint, _u3026, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u3024)))) )).
% 12.20/12.38 cnf(matrix-1659, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3027) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u3028) | ( c_Divides_Odiv__class_Odiv(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3028), _u3027), _u3028) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u3028), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3027, c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 12.20/12.38 cnf(matrix-1660, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem83(_u3032, _u3031)) )).
% 12.20/12.38 cnf(matrix-1661, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), skolem83(_u3032, _u3031)), _u3031) = _u3032) )).
% 12.20/12.38 cnf(matrix-1662, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3031) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3032) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u3029) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal), _u3029), _u3031) != _u3032) | ( _u3029 = skolem83(_u3032, _u3031)) )).
% 12.20/12.38 cnf(matrix-1663, plain, ( ~class_Rings_Oring(_u3033) | ( c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3034), _u3035), _u3036) != c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3037), _u3035), _u3038)) | ( _u3036 = c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), c_Groups_Ominus__class_Ominus(_u3033, _u3037, _u3034)), _u3035), _u3038)) )).
% 12.20/12.38 cnf(matrix-1664, plain, ( ~class_Rings_Oring(_u3033) | ( _u3036 != c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), c_Groups_Ominus__class_Ominus(_u3033, _u3037, _u3034)), _u3035), _u3038)) | ( c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3034), _u3035), _u3036) = c_Groups_Oplus__class_Oplus(_u3033, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3033), _u3037), _u3035), _u3038)) )).
% 12.20/12.38 cnf(matrix-1665, plain, ( ~class_Rings_Oring(_u3039) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3040), _u3041), _u3042) != c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3043), _u3041), _u3044)) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), c_Groups_Ominus__class_Ominus(_u3039, _u3040, _u3043)), _u3041), _u3042) = _u3044) )).
% 12.20/12.38 cnf(matrix-1666, plain, ( ~class_Rings_Oring(_u3039) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), c_Groups_Ominus__class_Ominus(_u3039, _u3040, _u3043)), _u3041), _u3042) != _u3044) | ( c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3040), _u3041), _u3042) = c_Groups_Oplus__class_Oplus(_u3039, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3039), _u3043), _u3041), _u3044)) )).
% 12.20/12.38 cnf(matrix-1667, plain, ( ~class_RealVector_Oreal__normed__algebra(_u3045) | ( c_Groups_Ominus__class_Ominus(_u3045, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3046), _u3047), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3048), _u3049)) = c_Groups_Oplus__class_Oplus(_u3045, c_Groups_Oplus__class_Oplus(_u3045, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), c_Groups_Ominus__class_Ominus(_u3045, _u3046, _u3048)), c_Groups_Ominus__class_Ominus(_u3045, _u3047, _u3049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), c_Groups_Ominus__class_Ominus(_u3045, _u3046, _u3048)), _u3049)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3045), _u3048), c_Groups_Ominus__class_Ominus(_u3045, _u3047, _u3049)))) )).
% 12.20/12.38 cnf(matrix-1668, plain, ( ~class_Rings_Oring(_u3050) | ( c_Groups_Ominus__class_Ominus(_u3050, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3051), _u3052), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3053), _u3054)) = c_Groups_Oplus__class_Oplus(_u3050, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), _u3051), c_Groups_Ominus__class_Ominus(_u3050, _u3052, _u3054)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u3050), c_Groups_Ominus__class_Ominus(_u3050, _u3051, _u3053)), _u3054))) )).
% 12.20/12.38 cnf(matrix-1669, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u3055), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3055) )).
% 12.20/12.38 cnf(matrix-1670, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3056, c_Nat_OSuc(_u3057)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3056, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3057)) )).
% 12.20/12.38 cnf(matrix-1671, plain, ( ~class_Divides_Oring__div(_u3058) | ( c_Divides_Odiv__class_Omod(_u3058, _u3059, _u3060) != c_Divides_Odiv__class_Omod(_u3058, _u3061, _u3060)) | ( c_Divides_Odiv__class_Omod(_u3058, _u3062, _u3060) != c_Divides_Odiv__class_Omod(_u3058, _u3063, _u3060)) | ( c_Divides_Odiv__class_Omod(_u3058, c_Groups_Ominus__class_Ominus(_u3058, _u3059, _u3062), _u3060) = c_Divides_Odiv__class_Omod(_u3058, c_Groups_Ominus__class_Ominus(_u3058, _u3061, _u3063), _u3060)) )).
% 12.20/12.38 cnf(matrix-1672, plain, ( ~class_Divides_Oring__div(_u3064) | ( c_Divides_Odiv__class_Omod(_u3064, c_Groups_Ominus__class_Ominus(_u3064, _u3065, _u3066), _u3067) = c_Divides_Odiv__class_Omod(_u3064, c_Groups_Ominus__class_Ominus(_u3064, c_Divides_Odiv__class_Omod(_u3064, _u3065, _u3067), c_Divides_Odiv__class_Omod(_u3064, _u3066, _u3067)), _u3067)) )).
% 12.20/12.38 cnf(matrix-1673, plain, ( ~class_Divides_Oring__div(_u3068) | ( c_Divides_Odiv__class_Omod(_u3068, c_Groups_Ominus__class_Ominus(_u3068, _u3069, _u3070), _u3071) = c_Divides_Odiv__class_Omod(_u3068, c_Groups_Ominus__class_Ominus(_u3068, c_Divides_Odiv__class_Omod(_u3068, _u3069, _u3071), _u3070), _u3071)) )).
% 12.20/12.38 cnf(matrix-1674, plain, ( ~class_Divides_Oring__div(_u3072) | ( c_Divides_Odiv__class_Omod(_u3072, c_Groups_Ominus__class_Ominus(_u3072, _u3073, _u3074), _u3075) = c_Divides_Odiv__class_Omod(_u3072, c_Groups_Ominus__class_Ominus(_u3072, _u3073, c_Divides_Odiv__class_Omod(_u3072, _u3074, _u3075)), _u3075)) )).
% 12.20/12.38 cnf(matrix-1675, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3076, _u3077) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3076, _u3077) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3076, _u3077), _u3077)) )).
% 12.20/12.38 cnf(matrix-1676, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3080, _u3082) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3080, _u3082) = _u3080) )).
% 12.20/12.38 cnf(matrix-1677, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3081, _u3083) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3081, _u3083) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3081, _u3083), _u3083)) )).
% 12.20/12.38 cnf(matrix-1678, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3084, _u3085) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u3085, _u3084) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3085, _u3084), _u3084)) )).
% 12.20/12.38 cnf(matrix-1679, plain, ( ~class_RealVector_Oreal__normed__vector(_u3086) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(_u3086, _u3087), c_RealVector_Onorm__class_Onorm(_u3086, _u3088)), c_RealVector_Onorm__class_Onorm(_u3086, c_Groups_Ominus__class_Ominus(_u3086, _u3087, _u3088))) )).
% 12.20/12.38 cnf(matrix-1680, plain, ( ~class_Groups_Ogroup__add(_u3089) | ( c_Groups_Ominus__class_Ominus(_u3089, _u3090, c_Groups_Ozero__class_Ozero(_u3089)) = _u3090) )).
% 12.20/12.38 cnf(matrix-1681, plain, ( ~class_Groups_Ogroup__add(_u3091) | ( c_Groups_Ominus__class_Ominus(_u3091, _u3092, _u3092) = c_Groups_Ozero__class_Ozero(_u3091)) )).
% 12.20/12.38 cnf(matrix-1682, plain, ( ~class_Groups_Oab__group__add(_u3093) | ( _u3094 != _u3095) | ( c_Groups_Ominus__class_Ominus(_u3093, _u3094, _u3095) = c_Groups_Ozero__class_Ozero(_u3093)) )).
% 12.20/12.38 cnf(matrix-1683, plain, ( ~class_Groups_Oab__group__add(_u3093) | ( c_Groups_Ominus__class_Ominus(_u3093, _u3094, _u3095) != c_Groups_Ozero__class_Ozero(_u3093)) | ( _u3094 = _u3095) )).
% 12.20/12.38 cnf(matrix-1684, plain, ( ~class_Groups_Ogroup__add(_u3096) | ( c_Groups_Ominus__class_Ominus(_u3096, _u3097, _u3098) != c_Groups_Ozero__class_Ozero(_u3096)) | ( _u3097 = _u3098) )).
% 12.20/12.38 cnf(matrix-1685, plain, ( ~class_Groups_Ogroup__add(_u3096) | ( _u3097 != _u3098) | ( c_Groups_Ominus__class_Ominus(_u3096, _u3097, _u3098) = c_Groups_Ozero__class_Ozero(_u3096)) )).
% 12.20/12.38 cnf(matrix-1686, plain, ( ~class_Groups_Oordered__ab__group__add(_u3099) | ( c_Groups_Ominus__class_Ominus(_u3099, _u3100, _u3101) != c_Groups_Ominus__class_Ominus(_u3099, _u3102, _u3103)) | ~c_Orderings_Oord__class_Oless__eq(_u3099, _u3100, _u3101) | c_Orderings_Oord__class_Oless__eq(_u3099, _u3102, _u3103) )).
% 12.20/12.38 cnf(matrix-1687, plain, ( ~class_Groups_Oordered__ab__group__add(_u3099) | ( c_Groups_Ominus__class_Ominus(_u3099, _u3100, _u3101) != c_Groups_Ominus__class_Ominus(_u3099, _u3102, _u3103)) | ~c_Orderings_Oord__class_Oless__eq(_u3099, _u3102, _u3103) | c_Orderings_Oord__class_Oless__eq(_u3099, _u3100, _u3101) )).
% 12.20/12.38 cnf(matrix-1688, plain, ( ~class_Groups_Ogroup__add(_u3104) | ( c_Groups_Ominus__class_Ominus(_u3104, c_Groups_Oplus__class_Oplus(_u3104, _u3105, _u3106), _u3106) = _u3105) )).
% 12.20/12.38 cnf(matrix-1689, plain, ( ~class_Groups_Ogroup__add(_u3107) | ( c_Groups_Oplus__class_Oplus(_u3107, c_Groups_Ominus__class_Ominus(_u3107, _u3108, _u3109), _u3109) = _u3108) )).
% 12.20/12.38 cnf(matrix-1690, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3110) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1691, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3111, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3111) )).
% 12.20/12.38 cnf(matrix-1692, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3112, _u3112) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1693, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3113, _u3114) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3114, _u3113) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3113 = _u3114) )).
% 12.20/12.38 cnf(matrix-1694, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3116) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3117) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3116, _u3115), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3117, _u3115)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3116, _u3117) )).
% 12.20/12.38 cnf(matrix-1695, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3116) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3115, _u3117) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3116, _u3117) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3116, _u3115), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3117, _u3115)) )).
% 12.20/12.38 cnf(matrix-1696, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3118, _u3119) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3118, _u3120) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3119, _u3118), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3120, _u3118)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3119, _u3120)) )).
% 12.20/12.38 cnf(matrix-1697, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3123) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3122, _u3121) != c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3123, _u3121)) | ( _u3122 = _u3123) )).
% 12.20/12.38 cnf(matrix-1698, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3122) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3121, _u3123) | ( _u3122 != _u3123) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3122, _u3121) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3123, _u3121)) )).
% 12.20/12.38 cnf(matrix-1699, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3124, _u3125) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3125, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3125, _u3124)) = _u3124) )).
% 12.20/12.38 cnf(matrix-1700, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3126, _u3127) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3126, _u3128), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3127, _u3128)) )).
% 12.20/12.38 cnf(matrix-1701, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3129, _u3130) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3131, _u3130), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3131, _u3129)) )).
% 12.20/12.38 cnf(matrix-1702, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3132, _u3133), _u3132) )).
% 12.20/12.38 cnf(matrix-1703, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3134, _u3135), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3136, _u3135)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3134, _u3136)) )).
% 12.20/12.38 cnf(matrix-1704, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3137, _u3138), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3137, _u3139)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3138, _u3139)) )).
% 12.20/12.38 cnf(matrix-1705, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3140, _u3141), _u3142) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3140, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3141, _u3142))) )).
% 12.20/12.38 cnf(matrix-1706, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3143, _u3144), _u3143) = _u3144) )).
% 12.20/12.38 cnf(matrix-1707, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3145, _u3146), _u3146) = _u3145) )).
% 12.20/12.38 cnf(matrix-1708, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3147, _u3148) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3147, _u3149), _u3148) )).
% 12.20/12.38 cnf(matrix-1709, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3150, _u3151) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3150, _u3152) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3152, _u3151), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3152, _u3150)) )).
% 12.20/12.38 cnf(matrix-1710, plain, ( ~class_Groups_Oab__group__add(_u3153) | ( c_Groups_Ouminus__class_Ouminus(_u3153, c_Groups_Ominus__class_Ominus(_u3153, _u3154, _u3155)) = c_Groups_Ominus__class_Ominus(_u3153, _u3155, _u3154)) )).
% 12.20/12.38 cnf(matrix-1711, plain, ( ~class_Groups_Oordered__ab__group__add(_u3156) | ( c_Groups_Ominus__class_Ominus(_u3156, _u3157, _u3158) != c_Groups_Ominus__class_Ominus(_u3156, _u3159, _u3160)) | ~c_Orderings_Oord__class_Oless(_u3156, _u3157, _u3158) | c_Orderings_Oord__class_Oless(_u3156, _u3159, _u3160) )).
% 12.20/12.38 cnf(matrix-1712, plain, ( ~class_Groups_Oordered__ab__group__add(_u3156) | ( c_Groups_Ominus__class_Ominus(_u3156, _u3157, _u3158) != c_Groups_Ominus__class_Ominus(_u3156, _u3159, _u3160)) | ~c_Orderings_Oord__class_Oless(_u3156, _u3159, _u3160) | c_Orderings_Oord__class_Oless(_u3156, _u3157, _u3158) )).
% 12.20/12.38 cnf(matrix-1713, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3161, _u3162) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3162, _u3163), _u3161) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3162, _u3161), _u3163)) )).
% 12.20/12.38 cnf(matrix-1714, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3164, _u3165) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3165, _u3164), _u3166) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3165, _u3166), _u3164)) )).
% 12.20/12.38 cnf(matrix-1715, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3167, _u3168) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3169, _u3168), _u3167) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3169, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3168, _u3167))) )).
% 12.20/12.38 cnf(matrix-1716, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3170, _u3171) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3171, _u3170) != _u3172) | ( _u3171 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3172, _u3170)) )).
% 12.20/12.38 cnf(matrix-1717, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3170, _u3171) | ( _u3171 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3172, _u3170)) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3171, _u3170) = _u3172) )).
% 12.20/12.38 cnf(matrix-1718, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3173, _u3174) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3174, _u3173), _u3173) = _u3174) )).
% 12.20/12.38 cnf(matrix-1719, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3175, _u3176) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3177, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3176, _u3175)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3177, _u3175), _u3176) )).
% 12.20/12.38 cnf(matrix-1720, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3175, _u3176) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3177, _u3175), _u3176) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3177, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3176, _u3175)) )).
% 12.20/12.38 cnf(matrix-1721, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3178, _u3179) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3180, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3179, _u3178)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3180, _u3179), _u3178)) )).
% 12.20/12.38 cnf(matrix-1722, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3181, _u3182) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3181, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3182, _u3181)) = _u3182) )).
% 12.20/12.38 cnf(matrix-1723, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3183, _u3184) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3185, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3184, _u3185), _u3183)) )).
% 12.20/12.38 cnf(matrix-1724, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3189, _u3191), _u3193) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3189, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3193, _u3191)) )).
% 12.20/12.38 cnf(matrix-1725, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3190, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3194, _u3192)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3190, _u3192), _u3194) )).
% 12.20/12.38 cnf(matrix-1726, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3195, _u3196) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3197, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3196, _u3195)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3197, _u3195), _u3196)) )).
% 12.20/12.38 cnf(matrix-1727, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3199) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3200) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3199, _u3198), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3200, _u3198)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3199, _u3200) )).
% 12.20/12.38 cnf(matrix-1728, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3199) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3198, _u3200) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3199, _u3200) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3199, _u3198), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3200, _u3198)) )).
% 12.20/12.38 cnf(matrix-1729, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3201, _u3202) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3203, _u3201) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3201, _u3203), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3202, _u3203)) )).
% 12.20/12.38 cnf(matrix-1730, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3204, _u3205) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3205, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3204, _u3205)) = _u3204) )).
% 12.20/12.38 cnf(matrix-1731, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3209, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3211, _u3213)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3209, _u3213), _u3211) )).
% 12.20/12.38 cnf(matrix-1732, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3210, _u3214), _u3212) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3210, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3212, _u3214)) )).
% 12.20/12.38 cnf(matrix-1733, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3215, _u3216) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, c_Nat_OSuc(_u3216), _u3215) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3216, _u3215))) )).
% 12.20/12.38 cnf(matrix-1734, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3219, _u3221) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3219, _u3221) )).
% 12.20/12.38 cnf(matrix-1735, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3220, _u3222) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3220, _u3222) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1736, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u3223, _u3224) | ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3223, _u3224) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1737, plain, ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3225, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u3225, _u3226)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 12.20/12.38 cnf(matrix-1738, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3227, _u3228), c_Nat_OSuc(_u3227)) )).
% 12.20/12.38 cnf(matrix-1739, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3229) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u3230) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3230, _u3229), _u3230) )).
% 12.20/12.38 cnf(matrix-1740, 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, _u3233, _u3235)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3235, _u3233) )).
% 12.20/12.38 cnf(matrix-1741, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u3236, _u3234) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Ominus__class_Ominus(tc_Nat_Onat, _u3234, _u3236)) )).
% 12.20/12.38 cnf(matrix-1742, plain, ( ~class_Groups_Ogroup__add(_u3237) | ( c_Groups_Ominus__class_Ominus(_u3237, _u3238, c_Groups_Ouminus__class_Ouminus(_u3237, _u3239)) = c_Groups_Oplus__class_Oplus(_u3237, _u3238, _u3239)) )).
% 12.20/12.38 cnf(matrix-1743, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u3240) | class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(_u3240)) )).
% 12.20/12.38 cnf(matrix-1744, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1745, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1746, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1747, plain, ( class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1748, plain, ( ~class_Lattices_Oboolean__algebra(_u3241) | class_Lattices_Oboolean__algebra(tc_fun(_u3242, _u3241)) )).
% 12.20/12.38 cnf(matrix-1749, plain, ( ~class_Orderings_Opreorder(_u3243) | class_Orderings_Opreorder(tc_fun(_u3244, _u3243)) )).
% 12.20/12.38 cnf(matrix-1750, plain, ( ~class_Orderings_Oorder(_u3245) | class_Orderings_Oorder(tc_fun(_u3246, _u3245)) )).
% 12.20/12.38 cnf(matrix-1751, plain, ( ~class_Orderings_Oord(_u3247) | class_Orderings_Oord(tc_fun(_u3248, _u3247)) )).
% 12.20/12.38 cnf(matrix-1752, plain, ( ~class_Groups_Ouminus(_u3249) | class_Groups_Ouminus(tc_fun(_u3250, _u3249)) )).
% 12.20/12.38 cnf(matrix-1753, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1754, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1755, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1756, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1757, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1758, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1759, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1760, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1761, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1762, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1763, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1764, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1765, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1766, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1767, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1768, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1769, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1770, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1771, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1772, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1773, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1774, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1775, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1776, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1777, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1778, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1779, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1780, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1781, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1782, plain, ( class_Rings_Ocomm__semiring__0(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1783, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1784, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1785, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1786, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1787, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1788, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1789, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1790, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1791, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1792, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1793, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1794, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1795, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1796, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1797, plain, ( class_Rings_Ocomm__ring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1798, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1799, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1800, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1801, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1802, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1803, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1804, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1805, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1806, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1807, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1808, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 12.20/12.38 cnf(matrix-1809, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1810, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1811, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1812, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1813, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1814, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1815, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1816, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1817, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1818, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1819, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1820, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1821, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1822, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1823, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1824, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1825, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1826, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1827, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1828, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1829, plain, ( class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1830, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1831, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1832, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1833, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1834, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1835, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1836, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1837, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1838, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1839, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1840, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1841, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1842, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1843, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1844, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 12.20/12.38 cnf(matrix-1845, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 12.20/12.38 cnf(matrix-1846, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 12.20/12.38 cnf(matrix-1847, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 12.20/12.38 cnf(matrix-1848, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 12.20/12.38 cnf(matrix-1849, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 12.20/12.38 cnf(matrix-1850, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1851, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1852, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1853, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1854, plain, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1855, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1856, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1857, plain, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1858, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1859, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1860, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1861, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1862, plain, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1863, plain, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1864, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1865, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1866, plain, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1867, plain, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1868, plain, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1869, plain, ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1870, plain, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1871, plain, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1872, plain, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1873, plain, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1874, plain, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1875, plain, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1876, plain, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1877, plain, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1878, plain, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1879, plain, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1880, plain, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1881, plain, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1882, plain, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1883, plain, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1884, plain, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1885, plain, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1886, plain, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1887, plain, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1888, plain, ( class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1889, plain, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1890, plain, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1891, plain, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1892, plain, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1893, plain, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1894, plain, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1895, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1896, plain, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1897, plain, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1898, plain, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1899, plain, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1900, plain, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1901, plain, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1902, plain, ( class_Rings_Ocomm__ring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1903, plain, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1904, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1905, plain, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1906, plain, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1907, plain, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1908, plain, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1909, plain, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1910, plain, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1911, plain, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1912, plain, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1913, plain, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1914, plain, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 12.20/12.38 cnf(matrix-1915, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1916, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1917, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1918, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1919, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1920, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1921, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1922, plain, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1923, plain, ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1924, plain, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1925, plain, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1926, plain, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1927, plain, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1928, plain, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1929, plain, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1930, plain, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1931, plain, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1932, plain, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1933, plain, ( class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1934, plain, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1935, plain, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1936, plain, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1937, plain, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1938, plain, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1939, plain, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1940, plain, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1941, plain, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1942, plain, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1943, plain, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1944, plain, ( class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1945, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1946, plain, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1947, plain, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1948, plain, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1949, plain, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1950, plain, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1951, plain, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1952, plain, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1953, plain, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1954, plain, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 12.20/12.38 cnf(matrix-1955, plain, ( ~class_Rings_Oidom(_u3251) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(_u3251)) )).
% 12.20/12.38 cnf(matrix-1956, plain, ( ~class_Rings_Olinordered__idom(_u3252) | class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(_u3252)) )).
% 12.20/12.38 cnf(matrix-1957, plain, ( ~class_Rings_Olinordered__idom(_u3253) | class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(_u3253)) )).
% 12.20/12.38 cnf(matrix-1958, plain, ( ~class_Rings_Olinordered__idom(_u3254) | class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(_u3254)) )).
% 12.20/12.38 cnf(matrix-1959, plain, ( ~class_Rings_Olinordered__idom(_u3255) | class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(_u3255)) )).
% 12.20/12.38 cnf(matrix-1960, plain, ( ~class_Rings_Olinordered__idom(_u3256) | class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(_u3256)) )).
% 12.20/12.38 cnf(matrix-1961, plain, ( ~class_Rings_Olinordered__idom(_u3257) | class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(_u3257)) )).
% 12.20/12.38 cnf(matrix-1962, plain, ( ~class_Rings_Olinordered__idom(_u3258) | class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(_u3258)) )).
% 12.20/12.38 cnf(matrix-1963, plain, ( ~class_Rings_Olinordered__idom(_u3259) | class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(_u3259)) )).
% 12.20/12.38 cnf(matrix-1964, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u3260) | class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(_u3260)) )).
% 12.20/12.38 cnf(matrix-1965, plain, ( ~class_Rings_Oidom(_u3261) | class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(_u3261)) )).
% 12.20/12.38 cnf(matrix-1966, plain, ( ~class_Rings_Olinordered__idom(_u3262) | class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(_u3262)) )).
% 12.20/12.38 cnf(matrix-1967, plain, ( ~class_Rings_Olinordered__idom(_u3263) | class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(_u3263)) )).
% 12.20/12.38 cnf(matrix-1968, plain, ( ~class_Rings_Oidom(_u3264) | class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(_u3264)) )).
% 12.20/12.38 cnf(matrix-1969, plain, ( ~class_Rings_Olinordered__idom(_u3265) | class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(_u3265)) )).
% 12.20/12.38 cnf(matrix-1970, plain, ( ~class_Rings_Olinordered__idom(_u3266) | class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(_u3266)) )).
% 12.20/12.38 cnf(matrix-1971, plain, ( ~class_Rings_Olinordered__idom(_u3267) | class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(_u3267)) )).
% 12.20/12.38 cnf(matrix-1972, plain, ( ~class_Groups_Ocancel__comm__monoid__add(_u3268) | class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(_u3268)) )).
% 12.20/12.38 cnf(matrix-1973, plain, ( ~class_Rings_Olinordered__idom(_u3269) | class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(_u3269)) )).
% 12.20/12.38 cnf(matrix-1974, plain, ( ~class_Rings_Olinordered__idom(_u3270) | class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(_u3270)) )).
% 12.20/12.38 cnf(matrix-1975, plain, ( ~class_Rings_Ocomm__semiring__0(_u3271) | class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(_u3271)) )).
% 12.20/12.38 cnf(matrix-1976, plain, ( ~class_Rings_Ocomm__semiring__1(_u3272) | class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(_u3272)) )).
% 12.20/12.38 cnf(matrix-1977, plain, ( ~class_Groups_Ocomm__monoid__add(_u3273) | class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(_u3273)) )).
% 12.20/12.38 cnf(matrix-1978, plain, ( ~class_Rings_Olinordered__idom(_u3274) | class_Rings_Oordered__semiring(tc_Polynomial_Opoly(_u3274)) )).
% 12.20/12.38 cnf(matrix-1979, plain, ( ~class_Rings_Oidom(_u3275) | class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(_u3275)) )).
% 12.20/12.38 cnf(matrix-1980, plain, ( ~class_Groups_Ocomm__monoid__add(_u3276) | class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(_u3276)) )).
% 12.20/12.38 cnf(matrix-1981, plain, ( ~class_Rings_Olinordered__idom(_u3277) | class_Rings_Olinordered__ring(tc_Polynomial_Opoly(_u3277)) )).
% 12.20/12.38 cnf(matrix-1982, plain, ( ~class_Rings_Olinordered__idom(_u3278) | class_Rings_Olinordered__idom(tc_Polynomial_Opoly(_u3278)) )).
% 12.20/12.38 cnf(matrix-1983, plain, ( ~class_Rings_Ocomm__semiring__1(_u3279) | class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(_u3279)) )).
% 12.20/12.38 cnf(matrix-1984, plain, ( ~class_Rings_Ocomm__semiring__0(_u3280) | class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(_u3280)) )).
% 12.20/12.38 cnf(matrix-1985, plain, ( ~class_Fields_Ofield(_u3281) | class_Divides_Osemiring__div(tc_Polynomial_Opoly(_u3281)) )).
% 12.20/12.38 cnf(matrix-1986, plain, ( ~class_Rings_Ocomm__semiring__0(_u3282) | class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(_u3282)) )).
% 12.20/12.38 cnf(matrix-1987, plain, ( ~class_Groups_Oab__group__add(_u3283) | class_Groups_Oab__group__add(tc_Polynomial_Opoly(_u3283)) )).
% 12.20/12.38 cnf(matrix-1988, plain, ( ~class_Rings_Ocomm__semiring__1(_u3284) | class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(_u3284)) )).
% 12.20/12.38 cnf(matrix-1989, plain, ( ~class_Rings_Olinordered__idom(_u3285) | class_Rings_Oordered__ring(tc_Polynomial_Opoly(_u3285)) )).
% 12.20/12.38 cnf(matrix-1990, plain, ( ~class_Rings_Olinordered__idom(_u3286) | class_Orderings_Opreorder(tc_Polynomial_Opoly(_u3286)) )).
% 12.20/12.38 cnf(matrix-1991, plain, ( ~class_Rings_Olinordered__idom(_u3287) | class_Orderings_Olinorder(tc_Polynomial_Opoly(_u3287)) )).
% 12.20/12.38 cnf(matrix-1992, plain, ( ~class_Rings_Ocomm__semiring__1(_u3288) | class_Groups_Omonoid__mult(tc_Polynomial_Opoly(_u3288)) )).
% 12.20/12.38 cnf(matrix-1993, plain, ( ~class_Rings_Ocomm__ring__1(_u3289) | class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(_u3289)) )).
% 12.20/12.38 cnf(matrix-1994, plain, ( ~class_Groups_Ocomm__monoid__add(_u3290) | class_Groups_Omonoid__add(tc_Polynomial_Opoly(_u3290)) )).
% 12.20/12.38 cnf(matrix-1995, plain, ( ~class_Rings_Ocomm__semiring__0(_u3291) | class_Rings_Osemiring__0(tc_Polynomial_Opoly(_u3291)) )).
% 12.20/12.38 cnf(matrix-1996, plain, ( ~class_Groups_Oab__group__add(_u3292) | class_Groups_Ogroup__add(tc_Polynomial_Opoly(_u3292)) )).
% 12.20/12.38 cnf(matrix-1997, plain, ( ~class_Fields_Ofield(_u3293) | class_Divides_Oring__div(tc_Polynomial_Opoly(_u3293)) )).
% 12.20/12.38 cnf(matrix-1998, plain, ( ~class_Rings_Ocomm__semiring__0(_u3294) | class_Rings_Omult__zero(tc_Polynomial_Opoly(_u3294)) )).
% 12.20/12.38 cnf(matrix-1999, plain, ( ~class_Rings_Ocomm__ring(_u3295) | class_Rings_Ocomm__ring(tc_Polynomial_Opoly(_u3295)) )).
% 12.20/12.38 cnf(matrix-2000, plain, ( ~class_Rings_Olinordered__idom(_u3296) | class_Orderings_Oorder(tc_Polynomial_Opoly(_u3296)) )).
% 12.20/12.38 cnf(matrix-2001, plain, ( ~class_Rings_Olinordered__idom(_u3297) | class_Int_Oring__char__0(tc_Polynomial_Opoly(_u3297)) )).
% 12.20/12.38 cnf(matrix-2002, plain, ( ~class_Rings_Ocomm__semiring__0(_u3298) | class_Rings_Osemiring(tc_Polynomial_Opoly(_u3298)) )).
% 12.20/12.38 cnf(matrix-2003, plain, ( ~class_Rings_Olinordered__idom(_u3299) | class_Orderings_Oord(tc_Polynomial_Opoly(_u3299)) )).
% 12.20/12.38 cnf(matrix-2004, plain, ( ~class_Groups_Oab__group__add(_u3300) | class_Groups_Ouminus(tc_Polynomial_Opoly(_u3300)) )).
% 12.20/12.38 cnf(matrix-2005, plain, ( ~class_Rings_Ocomm__ring__1(_u3301) | class_Rings_Oring__1(tc_Polynomial_Opoly(_u3301)) )).
% 12.20/12.38 cnf(matrix-2006, plain, ( ~class_Rings_Ocomm__semiring__1(_u3302) | class_Power_Opower(tc_Polynomial_Opoly(_u3302)) )).
% 12.20/12.38 cnf(matrix-2007, plain, ( ~class_Groups_Ozero(_u3303) | class_Groups_Ozero(tc_Polynomial_Opoly(_u3303)) )).
% 12.20/12.38 cnf(matrix-2008, plain, ( ~class_Rings_Ocomm__ring(_u3304) | class_Rings_Oring(tc_Polynomial_Opoly(_u3304)) )).
% 12.20/12.38 cnf(matrix-2009, plain, ( ~class_Rings_Oidom(_u3305) | class_Rings_Oidom(tc_Polynomial_Opoly(_u3305)) )).
% 12.20/12.38 cnf(matrix-2010, plain, ( ~class_Rings_Ocomm__semiring__1(_u3306) | class_Groups_Oone(tc_Polynomial_Opoly(_u3306)) )).
% 12.20/12.38 cnf(matrix-2011, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(_u3309, skolem84(_u3309))), v_r) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex, v_p), hAPP(_u3309, skolem85(_u3309)))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v_s____), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_RealDef_Oreal(tc_Nat_Onat, c_Nat_OSuc(skolem85(_u3309)))))) | v_thesis____ )).
% 12.20/12.38 cnf(matrix-2012, plain, ( ~v_thesis____ )).
% 12.20/12.38
% 12.20/12.38 % Proof stack:
% 12.20/12.38 cnf(proof-stack, plain,
% 12.20/12.38 proof_stack(
% 12.20/12.38 start(2012),
% 12.20/12.38 left_branch(0, 2011, 2, 2),
% 12.20/12.38 left_branch(0, 186, 0, 3),
% 12.20/12.38 right_branch(3),
% 12.20/12.38 left_branch(0, 187, 0, 4),
% 12.20/12.38 right_branch(4),
% 12.20/12.38 right_branch(2)
% 12.20/12.38 )).
% 12.20/12.38 % SZS output end Proof for theBenchmark
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