TSTP Solution File: SWW216+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Mar 25 14:40:02 EDT 2024
% Result : Theorem 15.12s 15.28s
% Output : Proof 15.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Mar 21 02:00:58 EDT 2024
% 0.14/0.35 % CPUTime :
% 15.12/15.28 % SZS status Theorem for theBenchmark
% 15.12/15.28 % SZS output start Proof for theBenchmark
% 15.12/15.28
% 15.12/15.28 % Formula: fact_ext ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_m_I1_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_m_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_H_I3_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_H_I3_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_assms ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_assms-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_e) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_H_I1_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_H_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_da____) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_H_I2_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_H_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_dm_I2_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_dm_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____), v_m____), v_e) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_d_I3_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_d_I3_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_dm_I1_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_dm_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____), v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_em0 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_em0-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__commute ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__commute-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u3), _u4) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u4), _u3)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__assoc ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__assoc-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u5), _u6)), _u7) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u5), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u6), _u7))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_d_I1_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_d_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_d____) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u8) | ( hAPP(c_Groups_Otimes__class_Otimes(_u8, _u9), _u9) = _u9) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u10) | ( hAPP(c_Groups_Otimes__class_Otimes(_u10, _u11), _u11) = _u11) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u12) | ( hAPP(c_Groups_Otimes__class_Otimes(_u12, _u13), _u14) = hAPP(c_Groups_Otimes__class_Otimes(_u12, _u14), _u13)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15) | ( hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), _u17)) = hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), _u17)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u18) | ( hAPP(c_Groups_Otimes__class_Otimes(_u18, _u19), hAPP(c_Groups_Otimes__class_Otimes(_u18, _u20), _u21)) = hAPP(c_Groups_Otimes__class_Otimes(_u18, _u20), hAPP(c_Groups_Otimes__class_Otimes(_u18, _u19), _u21))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_d_I2_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_d_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_one0 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_one0-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__zero__not__eq__one ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__zero__not__eq__one-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u22) | ( hAPP(c_Groups_Otimes__class_Otimes(_u22, _u23), c_Groups_Oone__class_Oone(_u22)) = _u23) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u24) | ( hAPP(c_Groups_Otimes__class_Otimes(_u24, c_Groups_Oone__class_Oone(_u24)), _u25) = _u25) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u26) | ( hAPP(c_Groups_Otimes__class_Otimes(_u26, _u27), c_Groups_Ozero__class_Ozero(_u26)) = c_Groups_Ozero__class_Ozero(_u26)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u28) | ( hAPP(c_Groups_Otimes__class_Otimes(_u28, c_Groups_Ozero__class_Ozero(_u28)), _u29) = c_Groups_Ozero__class_Ozero(_u28)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__1 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__1-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u30) = _u30) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__left__cancel ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__left__cancel-1, axiom, ( ( _u31 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u32) != hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u33)) | ( _u32 = _u33) )).
% 15.12/15.28 cnf(fact_real__mult__left__cancel-2, axiom, ( ( _u31 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u32 != _u33) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u32) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u33)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__right__cancel ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__right__cancel-1, axiom, ( ( _u34 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u35), _u34) != hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u36), _u34)) | ( _u35 = _u36) )).
% 15.12/15.28 cnf(fact_real__mult__right__cancel-2, axiom, ( ( _u34 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u35 != _u36) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u35), _u34) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u36), _u34)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__less__mono2 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u37) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u38, _u39) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u37), _u38), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u37), _u39)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__order ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__order-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u40) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u40), _u41)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_real__mult__less__iff1 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_real__mult__less__iff1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u42) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u43), _u42), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u44), _u42)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u43, _u44) )).
% 15.12/15.28 cnf(fact_real__mult__less__iff1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u42) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u43, _u44) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u43), _u42), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u44), _u42)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u45) | ( hAPP(c_Groups_Otimes__class_Otimes(_u45, hAPP(c_Groups_Otimes__class_Otimes(_u45, _u46), _u47)), hAPP(c_Groups_Otimes__class_Otimes(_u45, _u48), _u49)) = hAPP(c_Groups_Otimes__class_Otimes(_u45, hAPP(c_Groups_Otimes__class_Otimes(_u45, _u46), _u48)), hAPP(c_Groups_Otimes__class_Otimes(_u45, _u47), _u49))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u50) | ( hAPP(c_Groups_Otimes__class_Otimes(_u50, hAPP(c_Groups_Otimes__class_Otimes(_u50, _u51), _u52)), hAPP(c_Groups_Otimes__class_Otimes(_u50, _u53), _u54)) = hAPP(c_Groups_Otimes__class_Otimes(_u50, _u53), hAPP(c_Groups_Otimes__class_Otimes(_u50, hAPP(c_Groups_Otimes__class_Otimes(_u50, _u51), _u52)), _u54))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u55) | ( hAPP(c_Groups_Otimes__class_Otimes(_u55, hAPP(c_Groups_Otimes__class_Otimes(_u55, _u56), _u57)), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u58), _u59)) = hAPP(c_Groups_Otimes__class_Otimes(_u55, _u56), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u57), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u58), _u59)))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u60) | ( hAPP(c_Groups_Otimes__class_Otimes(_u60, hAPP(c_Groups_Otimes__class_Otimes(_u60, _u61), _u62)), _u63) = hAPP(c_Groups_Otimes__class_Otimes(_u60, hAPP(c_Groups_Otimes__class_Otimes(_u60, _u61), _u63)), _u62)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u64) | ( hAPP(c_Groups_Otimes__class_Otimes(_u64, hAPP(c_Groups_Otimes__class_Otimes(_u64, _u65), _u66)), _u67) = hAPP(c_Groups_Otimes__class_Otimes(_u64, _u65), hAPP(c_Groups_Otimes__class_Otimes(_u64, _u66), _u67))) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u68) | ( hAPP(c_Groups_Otimes__class_Otimes(_u68, _u69), hAPP(c_Groups_Otimes__class_Otimes(_u68, _u70), _u71)) = hAPP(c_Groups_Otimes__class_Otimes(_u68, hAPP(c_Groups_Otimes__class_Otimes(_u68, _u69), _u70)), _u71)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2) )).
% 15.12/15.28 cnf(fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28 cnf(fact__096_B_Bthesis_O_A_I_B_Bd_O_A_091_124_A0_A_060_Ad_059_Ad_A_060_A1_059_Ad_A_060_Ae_A_P_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096-3, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact__096EX_Aea_0620_O_Aea_A_060_A1_A_G_Aea_A_060_Ae_A_P_Am_096 ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact__096EX_Aea_0620_O_Aea_A_060_A1_A_G_Aea_A_060_Ae_A_P_Am_096-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem3) )).
% 15.12/15.28 cnf(fact__096EX_Aea_0620_O_Aea_A_060_A1_A_G_Aea_A_060_Ae_A_P_Am_096-2, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.28 cnf(fact__096EX_Aea_0620_O_Aea_A_060_A1_A_G_Aea_A_060_Ae_A_P_Am_096-3, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u74) | ~c_Orderings_Oord__class_Oless(_u74, _u75, _u76) | ~c_Orderings_Oord__class_Oless(_u74, _u77, c_Groups_Ozero__class_Ozero(_u74)) | ~c_Orderings_Oord__class_Oless(_u74, c_Groups_Ozero__class_Ozero(_u74), hAPP(c_Groups_Otimes__class_Otimes(_u74, _u75), _u76)) | c_Orderings_Oord__class_Oless(_u74, c_Rings_Oinverse__class_Odivide(_u74, _u77, _u75), c_Rings_Oinverse__class_Odivide(_u74, _u77, _u76)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u78) | ~c_Orderings_Oord__class_Oless(_u78, _u79, _u80) | ~c_Orderings_Oord__class_Oless(_u78, c_Groups_Ozero__class_Ozero(_u78), _u81) | ~c_Orderings_Oord__class_Oless(_u78, c_Groups_Ozero__class_Ozero(_u78), hAPP(c_Groups_Otimes__class_Otimes(_u78, _u80), _u79)) | c_Orderings_Oord__class_Oless(_u78, c_Rings_Oinverse__class_Odivide(_u78, _u81, _u80), c_Rings_Oinverse__class_Odivide(_u78, _u81, _u79)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, c_Groups_Ozero__class_Ozero(_u82)) | ~c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u84, _u83), _u85) | c_Orderings_Oord__class_Oless(_u82, hAPP(c_Groups_Otimes__class_Otimes(_u82, _u85), _u83), _u84) )).
% 15.12/15.28 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, c_Groups_Ozero__class_Ozero(_u82)) | ~c_Orderings_Oord__class_Oless(_u82, hAPP(c_Groups_Otimes__class_Otimes(_u82, _u85), _u83), _u84) | c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u84, _u83), _u85) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_neg__less__divide__eq-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_Rings_Oinverse__class_Odivide(_u86, _u89, _u87)) | c_Orderings_Oord__class_Oless(_u86, _u89, hAPP(c_Groups_Otimes__class_Otimes(_u86, _u88), _u87)) )).
% 15.12/15.28 cnf(fact_neg__less__divide__eq-2, 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, _u89, hAPP(c_Groups_Otimes__class_Otimes(_u86, _u88), _u87)) | c_Orderings_Oord__class_Oless(_u86, _u88, c_Rings_Oinverse__class_Odivide(_u86, _u89, _u87)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u90) | ~c_Orderings_Oord__class_Oless(_u90, c_Groups_Ozero__class_Ozero(_u90), _u91) | ~c_Orderings_Oord__class_Oless(_u90, hAPP(c_Groups_Otimes__class_Otimes(_u90, _u92), _u91), _u93) | c_Orderings_Oord__class_Oless(_u90, _u92, c_Rings_Oinverse__class_Odivide(_u90, _u93, _u91)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u94) | ~c_Orderings_Oord__class_Oless(_u94, c_Groups_Ozero__class_Ozero(_u94), _u95) | ~c_Orderings_Oord__class_Oless(_u94, _u96, hAPP(c_Groups_Otimes__class_Otimes(_u94, _u97), _u95)) | c_Orderings_Oord__class_Oless(_u94, c_Rings_Oinverse__class_Odivide(_u94, _u96, _u95), _u97) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u100, _u99), _u101) | c_Orderings_Oord__class_Oless(_u98, _u100, hAPP(c_Groups_Otimes__class_Otimes(_u98, _u101), _u99)) )).
% 15.12/15.28 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, _u100, hAPP(c_Groups_Otimes__class_Otimes(_u98, _u101), _u99)) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u100, _u99), _u101) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u102) | ~c_Orderings_Oord__class_Oless(_u102, c_Groups_Ozero__class_Ozero(_u102), _u103) | ~c_Orderings_Oord__class_Oless(_u102, _u104, c_Rings_Oinverse__class_Odivide(_u102, _u105, _u103)) | c_Orderings_Oord__class_Oless(_u102, hAPP(c_Groups_Otimes__class_Otimes(_u102, _u104), _u103), _u105) )).
% 15.12/15.28 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u102) | ~c_Orderings_Oord__class_Oless(_u102, c_Groups_Ozero__class_Ozero(_u102), _u103) | ~c_Orderings_Oord__class_Oless(_u102, hAPP(c_Groups_Otimes__class_Otimes(_u102, _u104), _u103), _u105) | c_Orderings_Oord__class_Oless(_u102, _u104, c_Rings_Oinverse__class_Odivide(_u102, _u105, _u103)) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) )).
% 15.12/15.28 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) )).
% 15.12/15.28 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.28 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.28 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.12/15.28 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.28 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) )).
% 15.12/15.28 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.28 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.12/15.28 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.28
% 15.12/15.28 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 15.12/15.28 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) )).
% 15.12/15.28 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) )).
% 15.12/15.28 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.28 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.28 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.28 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.28 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) )).
% 15.12/15.28 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.29 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.29 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u114) | ( hAPP(c_Groups_Otimes__class_Otimes(_u114, c_Rings_Oinverse__class_Odivide(_u114, _u115, _u116)), c_Rings_Oinverse__class_Odivide(_u114, _u117, _u118)) = c_Rings_Oinverse__class_Odivide(_u114, hAPP(c_Groups_Otimes__class_Otimes(_u114, _u115), _u117), hAPP(c_Groups_Otimes__class_Otimes(_u114, _u116), _u118))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u119) | ~c_Orderings_Oord__class_Oless(_u119, _u120, _u121) | ~c_Orderings_Oord__class_Oless(_u119, _u122, c_Groups_Ozero__class_Ozero(_u119)) | c_Orderings_Oord__class_Oless(_u119, c_Rings_Oinverse__class_Odivide(_u119, _u121, _u122), c_Rings_Oinverse__class_Odivide(_u119, _u120, _u122)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u123) | ~c_Orderings_Oord__class_Oless(_u123, _u124, _u125) | ~c_Orderings_Oord__class_Oless(_u123, c_Groups_Ozero__class_Ozero(_u123), _u126) | c_Orderings_Oord__class_Oless(_u123, c_Rings_Oinverse__class_Odivide(_u123, _u124, _u126), c_Rings_Oinverse__class_Odivide(_u123, _u125, _u126)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u127) | ~c_Orderings_Oord__class_Oless(_u127, _u128, c_Groups_Ozero__class_Ozero(_u127)) | ~c_Orderings_Oord__class_Oless(_u127, _u129, c_Groups_Ozero__class_Ozero(_u127)) | c_Orderings_Oord__class_Oless(_u127, c_Groups_Ozero__class_Ozero(_u127), c_Rings_Oinverse__class_Odivide(_u127, _u128, _u129)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u130) | ~c_Orderings_Oord__class_Oless(_u130, _u131, c_Groups_Ozero__class_Ozero(_u130)) | ~c_Orderings_Oord__class_Oless(_u130, c_Groups_Ozero__class_Ozero(_u130), _u132) | c_Orderings_Oord__class_Oless(_u130, c_Rings_Oinverse__class_Odivide(_u130, _u131, _u132), c_Groups_Ozero__class_Ozero(_u130)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u133) | ~c_Orderings_Oord__class_Oless(_u133, c_Groups_Ozero__class_Ozero(_u133), _u134) | ~c_Orderings_Oord__class_Oless(_u133, _u135, c_Groups_Ozero__class_Ozero(_u133)) | c_Orderings_Oord__class_Oless(_u133, c_Rings_Oinverse__class_Odivide(_u133, _u134, _u135), c_Groups_Ozero__class_Ozero(_u133)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u136) | ~c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), _u137) | ~c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), _u138) | c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), c_Rings_Oinverse__class_Odivide(_u136, _u137, _u138)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.29 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.29 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.29 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.29 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | ~c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.29 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.29 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.29 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) | c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.29 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) | c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.29 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) )).
% 15.12/15.29 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | ~c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) | ~c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 = c_Groups_Ozero__class_Ozero(_u145)) | ( c_Rings_Oinverse__class_Odivide(_u145, _u148, _u146) != c_Rings_Oinverse__class_Odivide(_u145, _u149, _u147)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u145, _u148), _u147) = hAPP(c_Groups_Otimes__class_Otimes(_u145, _u149), _u146)) )).
% 15.12/15.29 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 = c_Groups_Ozero__class_Ozero(_u145)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u145, _u148), _u147) != hAPP(c_Groups_Otimes__class_Otimes(_u145, _u149), _u146)) | ( c_Rings_Oinverse__class_Odivide(_u145, _u148, _u146) = c_Rings_Oinverse__class_Odivide(_u145, _u149, _u147)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u150) | ( _u151 = c_Groups_Ozero__class_Ozero(_u150)) | ( c_Rings_Oinverse__class_Odivide(_u150, hAPP(c_Groups_Otimes__class_Otimes(_u150, _u151), _u152), hAPP(c_Groups_Otimes__class_Otimes(_u150, _u151), _u153)) = c_Rings_Oinverse__class_Odivide(_u150, _u152, _u153)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u154) | ( _u155 = c_Groups_Ozero__class_Ozero(_u154)) | ( c_Rings_Oinverse__class_Odivide(_u154, hAPP(c_Groups_Otimes__class_Otimes(_u154, _u156), _u155), hAPP(c_Groups_Otimes__class_Otimes(_u154, _u157), _u155)) = c_Rings_Oinverse__class_Odivide(_u154, _u156, _u157)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) != _u161) | ( _u160 = c_Groups_Ozero__class_Ozero(_u158)) | ( _u159 = hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) != _u161) | ( _u160 != c_Groups_Ozero__class_Ozero(_u158)) | ( _u161 = c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u160 != c_Groups_Ozero__class_Ozero(_u158)) | ( _u161 != c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u159 != hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) | ( _u160 = c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u159 != hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) | ( _u161 != c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 != c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 = c_Groups_Ozero__class_Ozero(_u162)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) = _u164) )).
% 15.12/15.29 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 != c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 != c_Groups_Ozero__class_Ozero(_u162)) | ( _u163 = c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 != c_Groups_Ozero__class_Ozero(_u162)) | ( _u163 != c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) != _u164) | ( _u165 = c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) != _u164) | ( _u163 != c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__real__square__gt__zero ( axiom ) converted to clauses:
% 15.12/15.29 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(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u167), _u167)) | ( _u167 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_not__real__square__gt__zero-2, axiom, ( ( _u168 != 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(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u168), _u168)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u169) | ( _u170 = c_Groups_Ozero__class_Ozero(_u169)) | ( c_Rings_Oinverse__class_Odivide(_u169, _u171, _u170) != c_Groups_Oone__class_Oone(_u169)) | ( _u171 = _u170) )).
% 15.12/15.29 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u169) | ( _u170 = c_Groups_Ozero__class_Ozero(_u169)) | ( _u171 != _u170) | ( c_Rings_Oinverse__class_Odivide(_u169, _u171, _u170) = c_Groups_Oone__class_Oone(_u169)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u172) | ( _u173 = c_Groups_Ozero__class_Ozero(_u172)) | ( c_Rings_Oinverse__class_Odivide(_u172, _u173, _u173) = c_Groups_Oone__class_Oone(_u172)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u174) | ( _u175 != c_Groups_Ozero__class_Ozero(_u174)) | ( c_Rings_Oinverse__class_Odivide(_u174, _u175, _u175) = c_Groups_Ozero__class_Ozero(_u174)) )).
% 15.12/15.29 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u174) | ( _u175 = c_Groups_Ozero__class_Ozero(_u174)) | ( c_Rings_Oinverse__class_Odivide(_u174, _u175, _u175) = c_Groups_Oone__class_Oone(_u174)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u176) | ( _u177 = c_Groups_Ozero__class_Ozero(_u176)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u176, _u178), _u177) != _u179) | ( _u178 = c_Rings_Oinverse__class_Odivide(_u176, _u179, _u177)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u180) | ( _u181 = c_Groups_Ozero__class_Ozero(_u180)) | ( _u182 != hAPP(c_Groups_Otimes__class_Otimes(_u180, _u183), _u181)) | ( c_Rings_Oinverse__class_Odivide(_u180, _u182, _u181) = _u183) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u184) | ( _u185 = c_Groups_Ozero__class_Ozero(_u184)) | ( c_Rings_Oinverse__class_Odivide(_u184, _u186, _u185) != _u187) | ( _u186 = hAPP(c_Groups_Otimes__class_Otimes(_u184, _u187), _u185)) )).
% 15.12/15.29 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u184) | ( _u185 = c_Groups_Ozero__class_Ozero(_u184)) | ( _u186 != hAPP(c_Groups_Otimes__class_Otimes(_u184, _u187), _u185)) | ( c_Rings_Oinverse__class_Odivide(_u184, _u186, _u185) = _u187) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u188) | ( _u189 = c_Groups_Ozero__class_Ozero(_u188)) | ( _u190 != c_Rings_Oinverse__class_Odivide(_u188, _u191, _u189)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u188, _u190), _u189) = _u191) )).
% 15.12/15.29 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u188) | ( _u189 = c_Groups_Ozero__class_Ozero(_u188)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u188, _u190), _u189) != _u191) | ( _u190 = c_Rings_Oinverse__class_Odivide(_u188, _u191, _u189)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u192) | ~c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), _u193) | ~c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), _u194) | c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), hAPP(c_Groups_Otimes__class_Otimes(_u192, _u193), _u194)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u195) | c_Orderings_Oord__class_Oless(_u195, c_Groups_Ozero__class_Ozero(_u195), c_Groups_Oone__class_Oone(_u195)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u196) | ~c_Orderings_Oord__class_Oless(_u196, c_Groups_Oone__class_Oone(_u196), c_Groups_Ozero__class_Ozero(_u196)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u197) | ( _u198 = _u199) | c_Orderings_Oord__class_Oless(_u197, _u198, _u199) | c_Orderings_Oord__class_Oless(_u197, _u199, _u198) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u200) | ( hAPP(c_Groups_Otimes__class_Otimes(_u200, _u201), _u202) != c_Groups_Ozero__class_Ozero(_u200)) | ( _u201 = c_Groups_Ozero__class_Ozero(_u200)) | ( _u202 = c_Groups_Ozero__class_Ozero(_u200)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u203) | ( _u204 = c_Groups_Ozero__class_Ozero(_u203)) | ( _u205 = c_Groups_Ozero__class_Ozero(_u203)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u203, _u204), _u205) != c_Groups_Ozero__class_Ozero(_u203)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) != c_Groups_Ozero__class_Ozero(_u206)) | ( _u207 = c_Groups_Ozero__class_Ozero(_u206)) | ( _u208 = c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.29 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) = c_Groups_Ozero__class_Ozero(_u206)) | ( _u207 != c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.29 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) = c_Groups_Ozero__class_Ozero(_u206)) | ( _u208 != c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u209) | ( hAPP(c_Groups_Otimes__class_Otimes(_u209, _u210), c_Groups_Ozero__class_Ozero(_u209)) = c_Groups_Ozero__class_Ozero(_u209)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u211) | ( hAPP(c_Groups_Otimes__class_Otimes(_u211, c_Groups_Ozero__class_Ozero(_u211)), _u212) = c_Groups_Ozero__class_Ozero(_u211)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u213) | ( c_Groups_Oone__class_Oone(_u213) != c_Groups_Ozero__class_Ozero(_u213)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u214) | ( c_Groups_Ozero__class_Ozero(_u214) != c_Groups_Oone__class_Oone(_u214)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u215) | ( c_Rings_Oinverse__class_Odivide(_u215, c_Groups_Ozero__class_Ozero(_u215), _u216) = c_Groups_Ozero__class_Ozero(_u215)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u217) | ( c_Rings_Oinverse__class_Odivide(_u217, _u218, c_Groups_Ozero__class_Ozero(_u217)) = c_Groups_Ozero__class_Ozero(_u217)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u219) | ( hAPP(c_Groups_Otimes__class_Otimes(_u219, _u220), c_Rings_Oinverse__class_Odivide(_u219, _u221, _u222)) = c_Rings_Oinverse__class_Odivide(_u219, hAPP(c_Groups_Otimes__class_Otimes(_u219, _u220), _u221), _u222)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u223) | ( c_Rings_Oinverse__class_Odivide(_u223, _u224, c_Groups_Oone__class_Oone(_u223)) = _u224) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__divide__square__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__divide__square__eq-1, axiom, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u225), _u226), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u225), _u225)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u226, _u225)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u227) | ~c_Orderings_Oord__class_Oless(_u227, _u228, _u229) | ~c_Orderings_Oord__class_Oless(_u227, _u230, c_Groups_Ozero__class_Ozero(_u227)) | c_Orderings_Oord__class_Oless(_u227, hAPP(c_Groups_Otimes__class_Otimes(_u227, _u230), _u229), hAPP(c_Groups_Otimes__class_Otimes(_u227, _u230), _u228)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u231) | ~c_Orderings_Oord__class_Oless(_u231, _u232, _u233) | ~c_Orderings_Oord__class_Oless(_u231, _u234, c_Groups_Ozero__class_Ozero(_u231)) | c_Orderings_Oord__class_Oless(_u231, hAPP(c_Groups_Otimes__class_Otimes(_u231, _u233), _u234), hAPP(c_Groups_Otimes__class_Otimes(_u231, _u232), _u234)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u235) | ~c_Orderings_Oord__class_Oless(_u235, _u236, _u237) | ~c_Orderings_Oord__class_Oless(_u235, c_Groups_Ozero__class_Ozero(_u235), _u238) | c_Orderings_Oord__class_Oless(_u235, hAPP(c_Groups_Otimes__class_Otimes(_u235, _u238), _u236), hAPP(c_Groups_Otimes__class_Otimes(_u235, _u238), _u237)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u239) | ~c_Orderings_Oord__class_Oless(_u239, _u240, _u241) | ~c_Orderings_Oord__class_Oless(_u239, c_Groups_Ozero__class_Ozero(_u239), _u242) | c_Orderings_Oord__class_Oless(_u239, hAPP(c_Groups_Otimes__class_Otimes(_u239, _u242), _u240), hAPP(c_Groups_Otimes__class_Otimes(_u239, _u242), _u241)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u243) | ~c_Orderings_Oord__class_Oless(_u243, _u244, _u245) | ~c_Orderings_Oord__class_Oless(_u243, c_Groups_Ozero__class_Ozero(_u243), _u246) | c_Orderings_Oord__class_Oless(_u243, hAPP(c_Groups_Otimes__class_Otimes(_u243, _u244), _u246), hAPP(c_Groups_Otimes__class_Otimes(_u243, _u245), _u246)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u247) | ~c_Orderings_Oord__class_Oless(_u247, _u248, c_Groups_Ozero__class_Ozero(_u247)) | ~c_Orderings_Oord__class_Oless(_u247, _u249, c_Groups_Ozero__class_Ozero(_u247)) | c_Orderings_Oord__class_Oless(_u247, c_Groups_Ozero__class_Ozero(_u247), hAPP(c_Groups_Otimes__class_Otimes(_u247, _u248), _u249)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u250) | ~c_Orderings_Oord__class_Oless(_u250, _u251, c_Groups_Ozero__class_Ozero(_u250)) | ~c_Orderings_Oord__class_Oless(_u250, c_Groups_Ozero__class_Ozero(_u250), _u252) | c_Orderings_Oord__class_Oless(_u250, hAPP(c_Groups_Otimes__class_Otimes(_u250, _u251), _u252), c_Groups_Ozero__class_Ozero(_u250)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u253) | ~c_Orderings_Oord__class_Oless(_u253, _u254, c_Groups_Ozero__class_Ozero(_u253)) | ~c_Orderings_Oord__class_Oless(_u253, hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u255), hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u256)) | c_Orderings_Oord__class_Oless(_u253, _u256, _u255) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u253) | ~c_Orderings_Oord__class_Oless(_u253, _u254, c_Groups_Ozero__class_Ozero(_u253)) | ~c_Orderings_Oord__class_Oless(_u253, _u256, _u255) | c_Orderings_Oord__class_Oless(_u253, hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u255), hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u256)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u257) | ~c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), hAPP(c_Groups_Otimes__class_Otimes(_u257, _u258), _u259)) | ~c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), _u259) | c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), _u258) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u260) | ~c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), hAPP(c_Groups_Otimes__class_Otimes(_u260, _u261), _u262)) | ~c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), _u261) | c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), _u262) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u263) | ~c_Orderings_Oord__class_Oless(_u263, c_Groups_Ozero__class_Ozero(_u263), _u264) | ~c_Orderings_Oord__class_Oless(_u263, _u265, c_Groups_Ozero__class_Ozero(_u263)) | c_Orderings_Oord__class_Oless(_u263, hAPP(c_Groups_Otimes__class_Otimes(_u263, _u265), _u264), c_Groups_Ozero__class_Ozero(_u263)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u266) | ~c_Orderings_Oord__class_Oless(_u266, c_Groups_Ozero__class_Ozero(_u266), _u267) | ~c_Orderings_Oord__class_Oless(_u266, _u268, c_Groups_Ozero__class_Ozero(_u266)) | c_Orderings_Oord__class_Oless(_u266, hAPP(c_Groups_Otimes__class_Otimes(_u266, _u267), _u268), c_Groups_Ozero__class_Ozero(_u266)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u269) | ~c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), _u270) | ~c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), _u271) | c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), hAPP(c_Groups_Otimes__class_Otimes(_u269, _u270), _u271)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u272) | ~c_Orderings_Oord__class_Oless(_u272, c_Groups_Ozero__class_Ozero(_u272), _u273) | ~c_Orderings_Oord__class_Oless(_u272, hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u274), hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u275)) | c_Orderings_Oord__class_Oless(_u272, _u274, _u275) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u272) | ~c_Orderings_Oord__class_Oless(_u272, c_Groups_Ozero__class_Ozero(_u272), _u273) | ~c_Orderings_Oord__class_Oless(_u272, _u274, _u275) | c_Orderings_Oord__class_Oless(_u272, hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u274), hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u275)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, _u278, _u279) | c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, _u278, _u279) | c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | ~c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | ~c_Orderings_Oord__class_Oless(_u276, _u278, _u279) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u276) | c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | ~c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) | ~c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, _u281, _u283) | c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, _u281, _u283) | c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | ~c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | ~c_Orderings_Oord__class_Oless(_u280, _u281, _u283) )).
% 15.12/15.29 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u280) | c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | ~c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) | ~c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u284) | ~c_Orderings_Oord__class_Oless(_u284, hAPP(c_Groups_Otimes__class_Otimes(_u284, _u285), _u285), c_Groups_Ozero__class_Ozero(_u284)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_d1_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_d1_I2_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_da____) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide_Ozero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u286) | ( c_Rings_Oinverse__class_Odivide(_u286, c_Groups_Ozero__class_Ozero(_u286), _u287) = c_Groups_Ozero__class_Ozero(_u286)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u288) | ( hAPP(c_Groups_Otimes__class_Otimes(_u288, _u289), c_Groups_Oone__class_Oone(_u288)) = _u289) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u290) | ( hAPP(c_Groups_Otimes__class_Otimes(_u290, _u291), c_Groups_Oone__class_Oone(_u290)) = _u291) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u292) | ( hAPP(c_Groups_Otimes__class_Otimes(_u292, c_Groups_Oone__class_Oone(_u292)), _u293) = _u293) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u294) | ( hAPP(c_Groups_Otimes__class_Otimes(_u294, c_Groups_Oone__class_Oone(_u294)), _u295) = _u295) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right_Ozero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u296) | ( hAPP(c_Groups_Otimes__class_Otimes(_u296, _u297), c_Groups_Ozero__class_Ozero(_u296)) = c_Groups_Ozero__class_Ozero(_u296)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Ozero__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Ozero__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u298) | ( hAPP(c_Groups_Otimes__class_Otimes(_u298, _u299), c_Groups_Ozero__class_Ozero(_u298)) = c_Groups_Ozero__class_Ozero(_u298)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left_Ozero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left_Ozero-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u300) | ( hAPP(c_Groups_Otimes__class_Otimes(_u300, c_Groups_Ozero__class_Ozero(_u300)), _u301) = c_Groups_Ozero__class_Ozero(_u300)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Ozero__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Ozero__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u302) | ( hAPP(c_Groups_Otimes__class_Otimes(_u302, c_Groups_Ozero__class_Ozero(_u302)), _u303) = c_Groups_Ozero__class_Ozero(_u302)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__le__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u304, _u304) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__le__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u305, _u306) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u306, _u305) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__le__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u307, _u308) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u308, _u309) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u307, _u309) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__le__antisym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u310, _u311) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u311, _u310) | ( _u310 = _u311) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__less__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__less__def-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u314, _u316) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u314, _u316) )).
% 15.12/15.29 cnf(fact_real__less__def-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u314, _u316) | ( _u314 != _u316) )).
% 15.12/15.29 cnf(fact_real__less__def-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u315, _u317) | ( _u315 = _u317) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u315, _u317) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__eq__real__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__eq__real__def-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u320, _u322) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u320, _u322) | ( _u320 = _u322) )).
% 15.12/15.29 cnf(fact_less__eq__real__def-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u321, _u323) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u321, _u323) )).
% 15.12/15.29 cnf(fact_less__eq__real__def-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u321, _u323) | ( _u321 != _u323) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u324) | c_Orderings_Oord__class_Oless__eq(_u324, hAPP(c_Groups_Otimes__class_Otimes(_u324, _u325), _u326), c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, c_Groups_Ozero__class_Ozero(_u324), _u325) | ~c_Orderings_Oord__class_Oless__eq(_u324, _u326, c_Groups_Ozero__class_Ozero(_u324)) )).
% 15.12/15.29 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u324) | c_Orderings_Oord__class_Oless__eq(_u324, hAPP(c_Groups_Otimes__class_Otimes(_u324, _u325), _u326), c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, _u325, c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, c_Groups_Ozero__class_Ozero(_u324), _u326) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u327) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), hAPP(c_Groups_Otimes__class_Otimes(_u327, _u328), _u329)) | ~c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), _u328) | ~c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), _u329) )).
% 15.12/15.29 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u327) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), hAPP(c_Groups_Otimes__class_Otimes(_u327, _u328), _u329)) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u328, c_Groups_Ozero__class_Ozero(_u327)) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u329, c_Groups_Ozero__class_Ozero(_u327)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u330) | ~c_Orderings_Oord__class_Oless__eq(_u330, _u331, _u332) | ~c_Orderings_Oord__class_Oless__eq(_u330, _u333, _u334) | ~c_Orderings_Oord__class_Oless__eq(_u330, c_Groups_Ozero__class_Ozero(_u330), _u332) | ~c_Orderings_Oord__class_Oless__eq(_u330, c_Groups_Ozero__class_Ozero(_u330), _u333) | c_Orderings_Oord__class_Oless__eq(_u330, hAPP(c_Groups_Otimes__class_Otimes(_u330, _u331), _u333), hAPP(c_Groups_Otimes__class_Otimes(_u330, _u332), _u334)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u335) | ~c_Orderings_Oord__class_Oless__eq(_u335, _u336, _u337) | ~c_Orderings_Oord__class_Oless__eq(_u335, _u338, _u339) | ~c_Orderings_Oord__class_Oless__eq(_u335, c_Groups_Ozero__class_Ozero(_u335), _u336) | ~c_Orderings_Oord__class_Oless__eq(_u335, c_Groups_Ozero__class_Ozero(_u335), _u338) | c_Orderings_Oord__class_Oless__eq(_u335, hAPP(c_Groups_Otimes__class_Otimes(_u335, _u336), _u338), hAPP(c_Groups_Otimes__class_Otimes(_u335, _u337), _u339)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u340) | ~c_Orderings_Oord__class_Oless__eq(_u340, _u341, _u342) | ~c_Orderings_Oord__class_Oless__eq(_u340, _u343, c_Groups_Ozero__class_Ozero(_u340)) | c_Orderings_Oord__class_Oless__eq(_u340, hAPP(c_Groups_Otimes__class_Otimes(_u340, _u343), _u342), hAPP(c_Groups_Otimes__class_Otimes(_u340, _u343), _u341)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u344) | ~c_Orderings_Oord__class_Oless__eq(_u344, _u345, _u346) | ~c_Orderings_Oord__class_Oless__eq(_u344, _u347, c_Groups_Ozero__class_Ozero(_u344)) | c_Orderings_Oord__class_Oless__eq(_u344, hAPP(c_Groups_Otimes__class_Otimes(_u344, _u346), _u347), hAPP(c_Groups_Otimes__class_Otimes(_u344, _u345), _u347)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u348) | ~c_Orderings_Oord__class_Oless__eq(_u348, _u349, _u350) | ~c_Orderings_Oord__class_Oless__eq(_u348, c_Groups_Ozero__class_Ozero(_u348), _u351) | c_Orderings_Oord__class_Oless__eq(_u348, hAPP(c_Groups_Otimes__class_Otimes(_u348, _u351), _u349), hAPP(c_Groups_Otimes__class_Otimes(_u348, _u351), _u350)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u352) | ~c_Orderings_Oord__class_Oless__eq(_u352, _u353, _u354) | ~c_Orderings_Oord__class_Oless__eq(_u352, c_Groups_Ozero__class_Ozero(_u352), _u355) | c_Orderings_Oord__class_Oless__eq(_u352, hAPP(c_Groups_Otimes__class_Otimes(_u352, _u355), _u353), hAPP(c_Groups_Otimes__class_Otimes(_u352, _u355), _u354)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u356) | ~c_Orderings_Oord__class_Oless__eq(_u356, _u357, _u358) | ~c_Orderings_Oord__class_Oless__eq(_u356, c_Groups_Ozero__class_Ozero(_u356), _u359) | c_Orderings_Oord__class_Oless__eq(_u356, hAPP(c_Groups_Otimes__class_Otimes(_u356, _u357), _u359), hAPP(c_Groups_Otimes__class_Otimes(_u356, _u358), _u359)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u360) | ~c_Orderings_Oord__class_Oless__eq(_u360, _u361, c_Groups_Ozero__class_Ozero(_u360)) | ~c_Orderings_Oord__class_Oless__eq(_u360, _u362, c_Groups_Ozero__class_Ozero(_u360)) | c_Orderings_Oord__class_Oless__eq(_u360, c_Groups_Ozero__class_Ozero(_u360), hAPP(c_Groups_Otimes__class_Otimes(_u360, _u361), _u362)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u363) | ~c_Orderings_Oord__class_Oless__eq(_u363, _u364, c_Groups_Ozero__class_Ozero(_u363)) | ~c_Orderings_Oord__class_Oless__eq(_u363, c_Groups_Ozero__class_Ozero(_u363), _u365) | c_Orderings_Oord__class_Oless__eq(_u363, hAPP(c_Groups_Otimes__class_Otimes(_u363, _u364), _u365), c_Groups_Ozero__class_Ozero(_u363)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Ozero__class_Ozero(_u366), _u367) | ~c_Orderings_Oord__class_Oless__eq(_u366, _u368, c_Groups_Ozero__class_Ozero(_u366)) | c_Orderings_Oord__class_Oless__eq(_u366, hAPP(c_Groups_Otimes__class_Otimes(_u366, _u368), _u367), c_Groups_Ozero__class_Ozero(_u366)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u369) | ~c_Orderings_Oord__class_Oless__eq(_u369, c_Groups_Ozero__class_Ozero(_u369), _u370) | ~c_Orderings_Oord__class_Oless__eq(_u369, _u371, c_Groups_Ozero__class_Ozero(_u369)) | c_Orderings_Oord__class_Oless__eq(_u369, hAPP(c_Groups_Otimes__class_Otimes(_u369, _u370), _u371), c_Groups_Ozero__class_Ozero(_u369)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u372) | ~c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), _u373) | ~c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), _u374) | c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), hAPP(c_Groups_Otimes__class_Otimes(_u372, _u373), _u374)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.29 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.29 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.29 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.29 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | ~c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.29 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u375) | c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.29 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.29 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) | c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.29 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) | c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.29 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) )).
% 15.12/15.29 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u378) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u381) | c_Orderings_Oord__class_Oless__eq(_u381, c_Groups_Ozero__class_Ozero(_u381), hAPP(c_Groups_Otimes__class_Otimes(_u381, _u382), _u382)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u383) | c_Orderings_Oord__class_Oless__eq(_u383, c_Groups_Ozero__class_Ozero(_u383), c_Groups_Oone__class_Oone(_u383)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u384) | ~c_Orderings_Oord__class_Oless__eq(_u384, c_Groups_Oone__class_Oone(_u384), c_Groups_Ozero__class_Ozero(_u384)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u385) | ~c_Orderings_Oord__class_Oless__eq(_u385, _u386, _u387) | ~c_Orderings_Oord__class_Oless__eq(_u385, _u388, c_Groups_Ozero__class_Ozero(_u385)) | c_Orderings_Oord__class_Oless__eq(_u385, c_Rings_Oinverse__class_Odivide(_u385, _u387, _u388), c_Rings_Oinverse__class_Odivide(_u385, _u386, _u388)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u389) | ~c_Orderings_Oord__class_Oless__eq(_u389, _u390, _u391) | ~c_Orderings_Oord__class_Oless__eq(_u389, c_Groups_Ozero__class_Ozero(_u389), _u392) | c_Orderings_Oord__class_Oless__eq(_u389, c_Rings_Oinverse__class_Odivide(_u389, _u390, _u392), c_Rings_Oinverse__class_Odivide(_u389, _u391, _u392)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.29 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.29 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.29 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.29 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | ~c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.29 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.29 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.29 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) | c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.29 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) | c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.29 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) )).
% 15.12/15.29 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | ~c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) | ~c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__0__le__divide__iff ( axiom ) converted to clauses:
% 15.12/15.29 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, _u401, _u403)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u401, 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), _u403) )).
% 15.12/15.29 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, _u401, _u403)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u401) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u403, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u402, 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), _u402) )).
% 15.12/15.29 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u402, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u404, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u404) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u402) )).
% 15.12/15.29 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u404) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u404, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u406) | ~c_Orderings_Oord__class_Oless__eq(_u405, hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u407), hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u408)) | c_Orderings_Oord__class_Oless__eq(_u405, _u407, _u408) )).
% 15.12/15.29 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u406) | ~c_Orderings_Oord__class_Oless__eq(_u405, _u407, _u408) | c_Orderings_Oord__class_Oless__eq(_u405, hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u407), hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u408)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u409) | ~c_Orderings_Oord__class_Oless(_u409, _u410, c_Groups_Ozero__class_Ozero(_u409)) | ~c_Orderings_Oord__class_Oless__eq(_u409, hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u411), hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u412)) | c_Orderings_Oord__class_Oless__eq(_u409, _u412, _u411) )).
% 15.12/15.29 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u409) | ~c_Orderings_Oord__class_Oless(_u409, _u410, c_Groups_Ozero__class_Ozero(_u409)) | ~c_Orderings_Oord__class_Oless__eq(_u409, _u412, _u411) | c_Orderings_Oord__class_Oless__eq(_u409, hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u411), hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u412)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u413) | ~c_Orderings_Oord__class_Oless(_u413, _u414, _u415) | ~c_Orderings_Oord__class_Oless(_u413, _u416, _u417) | ~c_Orderings_Oord__class_Oless(_u413, c_Groups_Ozero__class_Ozero(_u413), _u415) | ~c_Orderings_Oord__class_Oless__eq(_u413, c_Groups_Ozero__class_Ozero(_u413), _u416) | c_Orderings_Oord__class_Oless(_u413, hAPP(c_Groups_Otimes__class_Otimes(_u413, _u414), _u416), hAPP(c_Groups_Otimes__class_Otimes(_u413, _u415), _u417)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u418) | ~c_Orderings_Oord__class_Oless(_u418, _u419, _u420) | ~c_Orderings_Oord__class_Oless(_u418, _u421, _u422) | ~c_Orderings_Oord__class_Oless__eq(_u418, c_Groups_Ozero__class_Ozero(_u418), _u419) | ~c_Orderings_Oord__class_Oless__eq(_u418, c_Groups_Ozero__class_Ozero(_u418), _u421) | c_Orderings_Oord__class_Oless(_u418, hAPP(c_Groups_Otimes__class_Otimes(_u418, _u419), _u421), hAPP(c_Groups_Otimes__class_Otimes(_u418, _u420), _u422)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u423) | ~c_Orderings_Oord__class_Oless(_u423, _u424, _u425) | ~c_Orderings_Oord__class_Oless__eq(_u423, _u426, _u427) | ~c_Orderings_Oord__class_Oless__eq(_u423, c_Groups_Ozero__class_Ozero(_u423), _u424) | ~c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), _u426) | c_Orderings_Oord__class_Oless(_u423, hAPP(c_Groups_Otimes__class_Otimes(_u423, _u424), _u426), hAPP(c_Groups_Otimes__class_Otimes(_u423, _u425), _u427)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u428) | ~c_Orderings_Oord__class_Oless__eq(_u428, _u429, _u430) | ~c_Orderings_Oord__class_Oless(_u428, _u431, _u432) | ~c_Orderings_Oord__class_Oless(_u428, c_Groups_Ozero__class_Ozero(_u428), _u429) | ~c_Orderings_Oord__class_Oless__eq(_u428, c_Groups_Ozero__class_Ozero(_u428), _u431) | c_Orderings_Oord__class_Oless(_u428, hAPP(c_Groups_Otimes__class_Otimes(_u428, _u429), _u431), hAPP(c_Groups_Otimes__class_Otimes(_u428, _u430), _u432)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u433) | ~c_Orderings_Oord__class_Oless(_u433, hAPP(c_Groups_Otimes__class_Otimes(_u433, _u434), _u435), hAPP(c_Groups_Otimes__class_Otimes(_u433, _u436), _u435)) | ~c_Orderings_Oord__class_Oless__eq(_u433, c_Groups_Ozero__class_Ozero(_u433), _u435) | c_Orderings_Oord__class_Oless(_u433, _u434, _u436) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u437) | ~c_Orderings_Oord__class_Oless(_u437, hAPP(c_Groups_Otimes__class_Otimes(_u437, _u438), _u439), hAPP(c_Groups_Otimes__class_Otimes(_u437, _u440), _u439)) | ~c_Orderings_Oord__class_Oless__eq(_u437, c_Groups_Ozero__class_Ozero(_u437), _u439) | c_Orderings_Oord__class_Oless(_u437, _u438, _u440) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u441) | ~c_Orderings_Oord__class_Oless(_u441, hAPP(c_Groups_Otimes__class_Otimes(_u441, _u442), _u443), hAPP(c_Groups_Otimes__class_Otimes(_u441, _u442), _u444)) | ~c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ozero__class_Ozero(_u441), _u442) | c_Orderings_Oord__class_Oless(_u441, _u443, _u444) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u445) | ~c_Orderings_Oord__class_Oless(_u445, hAPP(c_Groups_Otimes__class_Otimes(_u445, _u446), _u447), hAPP(c_Groups_Otimes__class_Otimes(_u445, _u446), _u448)) | ~c_Orderings_Oord__class_Oless__eq(_u445, c_Groups_Ozero__class_Ozero(_u445), _u446) | c_Orderings_Oord__class_Oless(_u445, _u447, _u448) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u449) | ~c_Orderings_Oord__class_Oless__eq(_u449, hAPP(c_Groups_Otimes__class_Otimes(_u449, _u450), _u451), hAPP(c_Groups_Otimes__class_Otimes(_u449, _u452), _u451)) | ~c_Orderings_Oord__class_Oless(_u449, c_Groups_Ozero__class_Ozero(_u449), _u451) | c_Orderings_Oord__class_Oless__eq(_u449, _u450, _u452) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u453) | ~c_Orderings_Oord__class_Oless__eq(_u453, hAPP(c_Groups_Otimes__class_Otimes(_u453, _u454), _u455), hAPP(c_Groups_Otimes__class_Otimes(_u453, _u454), _u456)) | ~c_Orderings_Oord__class_Oless(_u453, c_Groups_Ozero__class_Ozero(_u453), _u454) | c_Orderings_Oord__class_Oless__eq(_u453, _u455, _u456) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u457) | ~c_Orderings_Oord__class_Oless__eq(_u457, c_Groups_Ozero__class_Ozero(_u457), _u458) | ~c_Orderings_Oord__class_Oless__eq(_u457, c_Groups_Ozero__class_Ozero(_u457), _u459) | ~c_Orderings_Oord__class_Oless__eq(_u457, _u459, c_Groups_Oone__class_Oone(_u457)) | c_Orderings_Oord__class_Oless__eq(_u457, hAPP(c_Groups_Otimes__class_Otimes(_u457, _u459), _u458), _u458) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u460) | ~c_Orderings_Oord__class_Oless__eq(_u460, c_Groups_Ozero__class_Ozero(_u460), _u461) | ~c_Orderings_Oord__class_Oless__eq(_u460, c_Groups_Ozero__class_Ozero(_u460), _u462) | ~c_Orderings_Oord__class_Oless__eq(_u460, _u462, c_Groups_Oone__class_Oone(_u460)) | c_Orderings_Oord__class_Oless__eq(_u460, hAPP(c_Groups_Otimes__class_Otimes(_u460, _u461), _u462), _u461) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u463) | ~c_Orderings_Oord__class_Oless__eq(_u463, _u464, c_Groups_Ozero__class_Ozero(_u463)) | ~c_Orderings_Oord__class_Oless(_u463, _u465, c_Groups_Ozero__class_Ozero(_u463)) | c_Orderings_Oord__class_Oless__eq(_u463, c_Groups_Ozero__class_Ozero(_u463), c_Rings_Oinverse__class_Odivide(_u463, _u464, _u465)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u466) | ~c_Orderings_Oord__class_Oless__eq(_u466, _u467, c_Groups_Ozero__class_Ozero(_u466)) | ~c_Orderings_Oord__class_Oless(_u466, c_Groups_Ozero__class_Ozero(_u466), _u468) | c_Orderings_Oord__class_Oless__eq(_u466, c_Rings_Oinverse__class_Odivide(_u466, _u467, _u468), c_Groups_Ozero__class_Ozero(_u466)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u469) | ~c_Orderings_Oord__class_Oless__eq(_u469, c_Groups_Ozero__class_Ozero(_u469), _u470) | ~c_Orderings_Oord__class_Oless__eq(_u469, _u470, _u471) | ~c_Orderings_Oord__class_Oless(_u469, c_Groups_Ozero__class_Ozero(_u469), _u472) | ~c_Orderings_Oord__class_Oless__eq(_u469, _u472, _u473) | c_Orderings_Oord__class_Oless__eq(_u469, c_Rings_Oinverse__class_Odivide(_u469, _u470, _u473), c_Rings_Oinverse__class_Odivide(_u469, _u471, _u472)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u474) | ~c_Orderings_Oord__class_Oless__eq(_u474, c_Groups_Ozero__class_Ozero(_u474), _u475) | ~c_Orderings_Oord__class_Oless(_u474, _u475, _u476) | ~c_Orderings_Oord__class_Oless(_u474, c_Groups_Ozero__class_Ozero(_u474), _u477) | ~c_Orderings_Oord__class_Oless__eq(_u474, _u477, _u478) | c_Orderings_Oord__class_Oless(_u474, c_Rings_Oinverse__class_Odivide(_u474, _u475, _u478), c_Rings_Oinverse__class_Odivide(_u474, _u476, _u477)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u479) | ~c_Orderings_Oord__class_Oless(_u479, c_Groups_Ozero__class_Ozero(_u479), _u480) | ~c_Orderings_Oord__class_Oless__eq(_u479, _u480, _u481) | ~c_Orderings_Oord__class_Oless(_u479, c_Groups_Ozero__class_Ozero(_u479), _u482) | ~c_Orderings_Oord__class_Oless(_u479, _u482, _u483) | c_Orderings_Oord__class_Oless(_u479, c_Rings_Oinverse__class_Odivide(_u479, _u480, _u483), c_Rings_Oinverse__class_Odivide(_u479, _u481, _u482)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u484) | ~c_Orderings_Oord__class_Oless__eq(_u484, c_Groups_Ozero__class_Ozero(_u484), _u485) | ~c_Orderings_Oord__class_Oless(_u484, _u486, c_Groups_Ozero__class_Ozero(_u484)) | c_Orderings_Oord__class_Oless__eq(_u484, c_Rings_Oinverse__class_Odivide(_u484, _u485, _u486), c_Groups_Ozero__class_Ozero(_u484)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u487) | ~c_Orderings_Oord__class_Oless__eq(_u487, c_Groups_Ozero__class_Ozero(_u487), _u488) | ~c_Orderings_Oord__class_Oless(_u487, c_Groups_Ozero__class_Ozero(_u487), _u489) | c_Orderings_Oord__class_Oless__eq(_u487, c_Groups_Ozero__class_Ozero(_u487), c_Rings_Oinverse__class_Odivide(_u487, _u488, _u489)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u490) | ( c_Groups_Ozero__class_Ozero(_u490) != _u491) | ( _u491 = c_Groups_Ozero__class_Ozero(_u490)) )).
% 15.12/15.29 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u490) | ( _u491 != c_Groups_Ozero__class_Ozero(_u490)) | ( c_Groups_Ozero__class_Ozero(_u490) = _u491) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__mult__le__cancel__iff1 ( axiom ) converted to clauses:
% 15.12/15.29 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), _u492) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u493), _u492), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u494), _u492)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) )).
% 15.12/15.29 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), _u492) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u493), _u492), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u494), _u492)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__mult__le__cancel__iff2 ( axiom ) converted to clauses:
% 15.12/15.29 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), _u495) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u496), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u497)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u497) )).
% 15.12/15.29 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), _u495) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u497) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u496), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u497)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u498) | ( hAPP(c_Groups_Otimes__class_Otimes(_u498, hAPP(c_Groups_Otimes__class_Otimes(_u498, _u499), _u500)), _u501) = hAPP(c_Groups_Otimes__class_Otimes(_u498, _u499), hAPP(c_Groups_Otimes__class_Otimes(_u498, _u500), _u501))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u502) | ( c_Groups_Oone__class_Oone(_u502) != _u503) | ( _u503 = c_Groups_Oone__class_Oone(_u502)) )).
% 15.12/15.29 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u502) | ( _u503 != c_Groups_Oone__class_Oone(_u502)) | ( c_Groups_Oone__class_Oone(_u502) = _u503) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) )).
% 15.12/15.29 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) )).
% 15.12/15.29 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) )).
% 15.12/15.29 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) )).
% 15.12/15.29 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.29 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.29 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) )).
% 15.12/15.29 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.29 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) )).
% 15.12/15.29 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.29 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) )).
% 15.12/15.29 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u512) | ~c_Orderings_Oord__class_Oless(_u512, c_Groups_Ozero__class_Ozero(_u512), _u513) | ~c_Orderings_Oord__class_Oless__eq(_u512, _u514, c_Rings_Oinverse__class_Odivide(_u512, _u515, _u513)) | c_Orderings_Oord__class_Oless__eq(_u512, hAPP(c_Groups_Otimes__class_Otimes(_u512, _u514), _u513), _u515) )).
% 15.12/15.29 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u512) | ~c_Orderings_Oord__class_Oless(_u512, c_Groups_Ozero__class_Ozero(_u512), _u513) | ~c_Orderings_Oord__class_Oless__eq(_u512, hAPP(c_Groups_Otimes__class_Otimes(_u512, _u514), _u513), _u515) | c_Orderings_Oord__class_Oless__eq(_u512, _u514, c_Rings_Oinverse__class_Odivide(_u512, _u515, _u513)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u516) | ~c_Orderings_Oord__class_Oless(_u516, c_Groups_Ozero__class_Ozero(_u516), _u517) | ~c_Orderings_Oord__class_Oless__eq(_u516, c_Rings_Oinverse__class_Odivide(_u516, _u518, _u517), _u519) | c_Orderings_Oord__class_Oless__eq(_u516, _u518, hAPP(c_Groups_Otimes__class_Otimes(_u516, _u519), _u517)) )).
% 15.12/15.29 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u516) | ~c_Orderings_Oord__class_Oless(_u516, c_Groups_Ozero__class_Ozero(_u516), _u517) | ~c_Orderings_Oord__class_Oless__eq(_u516, _u518, hAPP(c_Groups_Otimes__class_Otimes(_u516, _u519), _u517)) | c_Orderings_Oord__class_Oless__eq(_u516, c_Rings_Oinverse__class_Odivide(_u516, _u518, _u517), _u519) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u520) | ~c_Orderings_Oord__class_Oless(_u520, c_Groups_Ozero__class_Ozero(_u520), _u521) | ~c_Orderings_Oord__class_Oless__eq(_u520, _u522, hAPP(c_Groups_Otimes__class_Otimes(_u520, _u523), _u521)) | c_Orderings_Oord__class_Oless__eq(_u520, c_Rings_Oinverse__class_Odivide(_u520, _u522, _u521), _u523) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u524) | ~c_Orderings_Oord__class_Oless(_u524, c_Groups_Ozero__class_Ozero(_u524), _u525) | ~c_Orderings_Oord__class_Oless__eq(_u524, hAPP(c_Groups_Otimes__class_Otimes(_u524, _u526), _u525), _u527) | c_Orderings_Oord__class_Oless__eq(_u524, _u526, c_Rings_Oinverse__class_Odivide(_u524, _u527, _u525)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u528) | ~c_Orderings_Oord__class_Oless(_u528, _u529, c_Groups_Ozero__class_Ozero(_u528)) | ~c_Orderings_Oord__class_Oless__eq(_u528, _u530, c_Rings_Oinverse__class_Odivide(_u528, _u531, _u529)) | c_Orderings_Oord__class_Oless__eq(_u528, _u531, hAPP(c_Groups_Otimes__class_Otimes(_u528, _u530), _u529)) )).
% 15.12/15.29 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u528) | ~c_Orderings_Oord__class_Oless(_u528, _u529, c_Groups_Ozero__class_Ozero(_u528)) | ~c_Orderings_Oord__class_Oless__eq(_u528, _u531, hAPP(c_Groups_Otimes__class_Otimes(_u528, _u530), _u529)) | c_Orderings_Oord__class_Oless__eq(_u528, _u530, c_Rings_Oinverse__class_Odivide(_u528, _u531, _u529)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u532) | ~c_Orderings_Oord__class_Oless(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | ~c_Orderings_Oord__class_Oless__eq(_u532, c_Rings_Oinverse__class_Odivide(_u532, _u534, _u533), _u535) | c_Orderings_Oord__class_Oless__eq(_u532, hAPP(c_Groups_Otimes__class_Otimes(_u532, _u535), _u533), _u534) )).
% 15.12/15.29 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u532) | ~c_Orderings_Oord__class_Oless(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | ~c_Orderings_Oord__class_Oless__eq(_u532, hAPP(c_Groups_Otimes__class_Otimes(_u532, _u535), _u533), _u534) | c_Orderings_Oord__class_Oless__eq(_u532, c_Rings_Oinverse__class_Odivide(_u532, _u534, _u533), _u535) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, _u537, _u538) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u539) | ~c_Orderings_Oord__class_Oless(_u536, c_Groups_Ozero__class_Ozero(_u536), hAPP(c_Groups_Otimes__class_Otimes(_u536, _u538), _u537)) | c_Orderings_Oord__class_Oless__eq(_u536, c_Rings_Oinverse__class_Odivide(_u536, _u539, _u538), c_Rings_Oinverse__class_Odivide(_u536, _u539, _u537)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u540) | ~c_Orderings_Oord__class_Oless__eq(_u540, _u541, _u542) | ~c_Orderings_Oord__class_Oless__eq(_u540, _u543, c_Groups_Ozero__class_Ozero(_u540)) | ~c_Orderings_Oord__class_Oless(_u540, c_Groups_Ozero__class_Ozero(_u540), hAPP(c_Groups_Otimes__class_Otimes(_u540, _u541), _u542)) | c_Orderings_Oord__class_Oless__eq(_u540, c_Rings_Oinverse__class_Odivide(_u540, _u543, _u541), c_Rings_Oinverse__class_Odivide(_u540, _u543, _u542)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u544) | c_Orderings_Oord__class_Oless__eq(_u544, _u545, _u545) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u546) | c_Orderings_Oord__class_Oless(_u546, _u547, _u548) | c_Orderings_Oord__class_Oless__eq(_u546, _u548, _u547) )).
% 15.12/15.29 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u546) | ~c_Orderings_Oord__class_Oless__eq(_u546, _u548, _u547) | ~c_Orderings_Oord__class_Oless(_u546, _u547, _u548) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u549) | c_Orderings_Oord__class_Oless__eq(_u549, _u550, _u551) | c_Orderings_Oord__class_Oless(_u549, _u551, _u550) )).
% 15.12/15.29 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u549) | ~c_Orderings_Oord__class_Oless(_u549, _u551, _u550) | ~c_Orderings_Oord__class_Oless__eq(_u549, _u550, _u551) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u552) | c_Orderings_Oord__class_Oless__eq(_u552, _u553, _u554) | c_Orderings_Oord__class_Oless(_u552, _u554, _u553) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__le-1, axiom, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless(_u555, _u556, _u557) | c_Orderings_Oord__class_Oless__eq(_u555, _u556, _u557) )).
% 15.12/15.29 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless(_u555, _u556, _u557) | ( _u556 != _u557) )).
% 15.12/15.29 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless__eq(_u555, _u556, _u557) | ( _u556 = _u557) | c_Orderings_Oord__class_Oless(_u555, _u556, _u557) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless(_u558, _u559, _u560) | c_Orderings_Oord__class_Oless__eq(_u558, _u559, _u560) )).
% 15.12/15.29 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless(_u558, _u559, _u560) | ~c_Orderings_Oord__class_Oless__eq(_u558, _u560, _u559) )).
% 15.12/15.29 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless__eq(_u558, _u559, _u560) | c_Orderings_Oord__class_Oless__eq(_u558, _u560, _u559) | c_Orderings_Oord__class_Oless(_u558, _u559, _u560) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u561) | ~c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | c_Orderings_Oord__class_Oless(_u561, _u562, _u563) | ( _u562 = _u563) )).
% 15.12/15.29 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u561) | c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | ~c_Orderings_Oord__class_Oless(_u561, _u562, _u563) )).
% 15.12/15.29 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u561) | c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | ( _u562 != _u563) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_leI ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u564) | c_Orderings_Oord__class_Oless(_u564, _u565, _u566) | c_Orderings_Oord__class_Oless__eq(_u564, _u566, _u565) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u567) | c_Orderings_Oord__class_Oless__eq(_u567, _u568, _u569) | c_Orderings_Oord__class_Oless(_u567, _u569, _u568) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u572) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u573, _u572), _u574, _u575) | c_Orderings_Oord__class_Oless__eq(_u572, hAPP(_u574, _u570), hAPP(_u575, _u570)) )).
% 15.12/15.29 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u572) | ~c_Orderings_Oord__class_Oless__eq(_u572, hAPP(_u574, skolem4(_u575, _u574, _u573, _u572)), hAPP(_u575, skolem4(_u575, _u574, _u573, _u572))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u573, _u572), _u574, _u575) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u576) | c_Orderings_Oord__class_Oless__eq(_u576, _u577, _u578) | c_Orderings_Oord__class_Oless__eq(_u576, _u578, _u577) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u579) | ( _u580 != _u581) | c_Orderings_Oord__class_Oless__eq(_u579, _u580, _u581) )).
% 15.12/15.29 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u579) | ( _u580 != _u581) | c_Orderings_Oord__class_Oless__eq(_u579, _u581, _u580) )).
% 15.12/15.29 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u579) | ~c_Orderings_Oord__class_Oless__eq(_u579, _u580, _u581) | ~c_Orderings_Oord__class_Oless__eq(_u579, _u581, _u580) | ( _u580 = _u581) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u582) | ( _u583 != _u584) | c_Orderings_Oord__class_Oless__eq(_u582, _u583, _u584) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u585) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u586, _u585), _u587, _u588) | c_Orderings_Oord__class_Oless__eq(_u585, hAPP(_u587, _u589), hAPP(_u588, _u589)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u590) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u591, _u592) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u592, _u591) | ( _u592 = _u591) )).
% 15.12/15.29 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u590) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u591, _u592) | ( _u592 != _u591) | c_Orderings_Oord__class_Oless__eq(_u590, _u592, _u591) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u593) | ( _u594 != _u595) | ~c_Orderings_Oord__class_Oless__eq(_u593, _u595, _u596) | c_Orderings_Oord__class_Oless__eq(_u593, _u594, _u596) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u597) | ( _u598 != _u599) | ~c_Orderings_Oord__class_Oless__eq(_u597, _u600, _u599) | c_Orderings_Oord__class_Oless__eq(_u597, _u600, _u598) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u601) | ~c_Orderings_Oord__class_Oless__eq(_u601, _u602, _u603) | ( _u603 != _u604) | c_Orderings_Oord__class_Oless__eq(_u601, _u602, _u604) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u605) | ~c_Orderings_Oord__class_Oless__eq(_u605, _u606, _u607) | ( _u606 != _u608) | c_Orderings_Oord__class_Oless__eq(_u605, _u608, _u607) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u609) | ~c_Orderings_Oord__class_Oless__eq(_u609, _u610, _u611) | ~c_Orderings_Oord__class_Oless__eq(_u609, _u611, _u610) | ( _u610 = _u611) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u612) | ~c_Orderings_Oord__class_Oless__eq(_u612, _u613, _u614) | ~c_Orderings_Oord__class_Oless__eq(_u612, _u614, _u615) | c_Orderings_Oord__class_Oless__eq(_u612, _u613, _u615) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u616) | ~c_Orderings_Oord__class_Oless__eq(_u616, _u617, _u618) | ~c_Orderings_Oord__class_Oless__eq(_u616, _u618, _u617) | ( _u618 = _u617) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u619) | ~c_Orderings_Oord__class_Oless__eq(_u619, _u620, _u621) | ~c_Orderings_Oord__class_Oless__eq(_u619, _u622, _u620) | c_Orderings_Oord__class_Oless__eq(_u619, _u622, _u621) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u623) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u624, _u623), _u625, _u626) | c_Orderings_Oord__class_Oless__eq(_u623, hAPP(_u625, _u627), hAPP(_u626, _u627)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u628) | c_Orderings_Oord__class_Oless__eq(_u628, _u629, _u630) | c_Orderings_Oord__class_Oless__eq(_u628, _u630, _u629) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u631) | c_Orderings_Oord__class_Oless(_u631, _u632, _u633) | ( _u632 = _u633) | c_Orderings_Oord__class_Oless(_u631, _u633, _u632) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u634) | ~c_Orderings_Oord__class_Oless(_u634, _u635, _u636) | ~c_Orderings_Oord__class_Oless(_u634, _u636, _u635) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u637) | ~c_Orderings_Oord__class_Oless(_u637, _u638, _u639) | ~c_Orderings_Oord__class_Oless(_u637, _u640, _u638) | c_Orderings_Oord__class_Oless(_u637, _u640, _u639) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u641) | ~c_Orderings_Oord__class_Oless(_u641, _u642, _u643) | ~c_Orderings_Oord__class_Oless(_u641, _u643, _u644) | c_Orderings_Oord__class_Oless(_u641, _u642, _u644) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u645) | ~c_Orderings_Oord__class_Oless(_u645, _u646, _u647) | ( _u646 != _u648) | c_Orderings_Oord__class_Oless(_u645, _u648, _u647) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u649) | ~c_Orderings_Oord__class_Oless(_u649, _u650, _u651) | ( _u651 != _u652) | c_Orderings_Oord__class_Oless(_u649, _u650, _u652) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u653) | ( _u654 != _u655) | ~c_Orderings_Oord__class_Oless(_u653, _u656, _u655) | c_Orderings_Oord__class_Oless(_u653, _u656, _u654) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u657) | ( _u658 != _u659) | ~c_Orderings_Oord__class_Oless(_u657, _u659, _u660) | c_Orderings_Oord__class_Oless(_u657, _u658, _u660) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u661) | ~c_Orderings_Oord__class_Oless(_u661, _u662, _u663) | ~c_Orderings_Oord__class_Oless(_u661, _u663, _u662) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u664) | ~c_Orderings_Oord__class_Oless(_u664, _u665, _u666) | ~c_Orderings_Oord__class_Oless(_u664, _u666, _u665) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u667) | ~c_Orderings_Oord__class_Oless(_u667, _u668, _u669) | ( _u669 != _u668) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u670) | ~c_Orderings_Oord__class_Oless(_u670, _u671, _u672) | ( _u671 != _u672) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u673) | ~c_Orderings_Oord__class_Oless(_u673, _u674, _u675) | ~c_Orderings_Oord__class_Oless(_u673, _u675, _u674) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u676) | ~c_Orderings_Oord__class_Oless(_u676, _u677, _u678) | ~c_Orderings_Oord__class_Oless(_u676, _u678, _u677) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u679) | ~c_Orderings_Oord__class_Oless(_u679, _u680, _u681) | ( _u680 != _u681) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u682) | ( _u683 = _u684) | c_Orderings_Oord__class_Oless(_u682, _u683, _u684) | c_Orderings_Oord__class_Oless(_u682, _u684, _u683) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u685) | c_Orderings_Oord__class_Oless(_u685, _u686, _u687) | c_Orderings_Oord__class_Oless(_u685, _u687, _u686) | ( _u687 = _u686) )).
% 15.12/15.29 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u685) | c_Orderings_Oord__class_Oless(_u685, _u686, _u687) | ( _u687 != _u686) | ~c_Orderings_Oord__class_Oless(_u685, _u687, _u686) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u688) | c_Orderings_Oord__class_Oless(_u688, _u689, _u690) | ( _u689 = _u690) | c_Orderings_Oord__class_Oless(_u688, _u690, _u689) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u691) | c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | c_Orderings_Oord__class_Oless(_u691, _u693, _u692) | ( _u692 = _u693) )).
% 15.12/15.29 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u691) | ~c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | ~c_Orderings_Oord__class_Oless(_u691, _u693, _u692) )).
% 15.12/15.29 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u691) | ~c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | ( _u692 != _u693) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u694) | ( _u695 = _u696) | c_Orderings_Oord__class_Oless(_u694, _u695, _u696) | c_Orderings_Oord__class_Oless(_u694, _u696, _u695) )).
% 15.12/15.29 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u694) | ( _u695 != _u696) | ~c_Orderings_Oord__class_Oless(_u694, _u695, _u696) )).
% 15.12/15.29 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u694) | ( _u695 != _u696) | ~c_Orderings_Oord__class_Oless(_u694, _u696, _u695) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u697) | ~c_Orderings_Oord__class_Oless(_u697, _u698, _u698) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u699) | ~c_Orderings_Oord__class_Oless__eq(_u699, _u700, _u701) | ~c_Orderings_Oord__class_Oless(_u699, _u702, _u700) | c_Orderings_Oord__class_Oless(_u699, _u702, _u701) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u703) | ~c_Orderings_Oord__class_Oless__eq(_u703, _u704, _u705) | ~c_Orderings_Oord__class_Oless(_u703, _u705, _u706) | c_Orderings_Oord__class_Oless(_u703, _u704, _u706) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u707) | ~c_Orderings_Oord__class_Oless(_u707, _u708, _u709) | ~c_Orderings_Oord__class_Oless__eq(_u707, _u710, _u708) | c_Orderings_Oord__class_Oless(_u707, _u710, _u709) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u711) | ~c_Orderings_Oord__class_Oless(_u711, _u712, _u713) | ~c_Orderings_Oord__class_Oless__eq(_u711, _u713, _u714) | c_Orderings_Oord__class_Oless(_u711, _u712, _u714) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u715) | ~c_Orderings_Oord__class_Oless__eq(_u715, _u716, _u717) | ( _u717 = _u716) | c_Orderings_Oord__class_Oless(_u715, _u716, _u717) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u718) | ~c_Orderings_Oord__class_Oless__eq(_u718, _u719, _u720) | ( _u719 = _u720) | c_Orderings_Oord__class_Oless(_u718, _u719, _u720) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u721) | ~c_Orderings_Oord__class_Oless__eq(_u721, _u722, _u723) | c_Orderings_Oord__class_Oless(_u721, _u722, _u723) | ( _u722 = _u723) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u724) | ~c_Orderings_Oord__class_Oless__eq(_u724, _u725, _u726) | c_Orderings_Oord__class_Oless(_u724, _u725, _u726) | ( _u725 = _u726) )).
% 15.12/15.29 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u724) | ~c_Orderings_Oord__class_Oless__eq(_u724, _u725, _u726) | ( _u725 != _u726) | ~c_Orderings_Oord__class_Oless(_u724, _u725, _u726) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u727) | ~c_Orderings_Oord__class_Oless(_u727, _u728, _u729) | c_Orderings_Oord__class_Oless__eq(_u727, _u728, _u729) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_leD ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u730) | ~c_Orderings_Oord__class_Oless__eq(_u730, _u731, _u732) | ~c_Orderings_Oord__class_Oless(_u730, _u732, _u731) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u733) | ( _u734 = _u735) | ~c_Orderings_Oord__class_Oless__eq(_u733, _u735, _u734) | c_Orderings_Oord__class_Oless(_u733, _u735, _u734) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u736) | ( _u737 = _u738) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u737, _u738) | c_Orderings_Oord__class_Oless(_u736, _u737, _u738) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u739) | c_Orderings_Oord__class_Oless(_u739, _u740, _u741) | ~c_Orderings_Oord__class_Oless__eq(_u739, _u740, _u741) | ( _u740 = _u741) )).
% 15.12/15.29 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u739) | c_Orderings_Oord__class_Oless(_u739, _u740, _u741) | ( _u740 != _u741) | c_Orderings_Oord__class_Oless__eq(_u739, _u740, _u741) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | c_Orderings_Oord__class_Oless(_u743, c_Groups_Ozero__class_Ozero(_u743), skolem5(_u745, _u744, _u743)) )).
% 15.12/15.29 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | c_Orderings_Oord__class_Oless(_u743, skolem5(_u745, _u744, _u743), c_Groups_Oone__class_Oone(_u743)) )).
% 15.12/15.29 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | ~c_Orderings_Oord__class_Oless__eq(_u743, hAPP(c_Groups_Otimes__class_Otimes(_u743, skolem5(_u745, _u744, _u743)), _u744), _u745) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u746) | ~c_Orderings_Oord__class_Oless(_u746, _u747, _u748) | ~c_Orderings_Oord__class_Oless(_u746, _u749, _u748) | ~c_Orderings_Oord__class_Oless__eq(_u746, c_Groups_Ozero__class_Ozero(_u746), _u750) | ~c_Orderings_Oord__class_Oless__eq(_u746, c_Groups_Ozero__class_Ozero(_u746), _u751) | ( c_Groups_Oplus__class_Oplus(_u746, _u750, _u751) != c_Groups_Oone__class_Oone(_u746)) | c_Orderings_Oord__class_Oless(_u746, c_Groups_Oplus__class_Oplus(_u746, hAPP(c_Groups_Otimes__class_Otimes(_u746, _u750), _u747), hAPP(c_Groups_Otimes__class_Otimes(_u746, _u751), _u749)), _u748) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u752) | ~c_Orderings_Oord__class_Oless__eq(_u752, _u753, _u754) | ~c_Orderings_Oord__class_Oless__eq(_u752, _u755, _u754) | ~c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Ozero__class_Ozero(_u752), _u756) | ~c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Ozero__class_Ozero(_u752), _u757) | ( c_Groups_Oplus__class_Oplus(_u752, _u756, _u757) != c_Groups_Oone__class_Oone(_u752)) | c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Oplus__class_Oplus(_u752, hAPP(c_Groups_Otimes__class_Otimes(_u752, _u756), _u753), hAPP(c_Groups_Otimes__class_Otimes(_u752, _u757), _u755)), _u754) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__le__inverse__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__le__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) | c_Orderings_Oord__class_Oless(_u758, c_Groups_Ozero__class_Ozero(_u758), _u759) )).
% 15.12/15.29 cnf(fact_one__le__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) | c_Orderings_Oord__class_Oless__eq(_u758, _u759, c_Groups_Oone__class_Oone(_u758)) )).
% 15.12/15.29 cnf(fact_one__le__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless(_u758, c_Groups_Ozero__class_Ozero(_u758), _u759) | ~c_Orderings_Oord__class_Oless__eq(_u758, _u759, c_Groups_Oone__class_Oone(_u758)) | c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__less__1__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__less__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | ~c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | c_Orderings_Oord__class_Oless__eq(_u760, _u761, c_Groups_Ozero__class_Ozero(_u760)) | c_Orderings_Oord__class_Oless(_u760, c_Groups_Oone__class_Oone(_u760), _u761) )).
% 15.12/15.29 cnf(fact_inverse__less__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | ~c_Orderings_Oord__class_Oless__eq(_u760, _u761, c_Groups_Ozero__class_Ozero(_u760)) )).
% 15.12/15.29 cnf(fact_inverse__less__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | ~c_Orderings_Oord__class_Oless(_u760, c_Groups_Oone__class_Oone(_u760), _u761) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__le__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__le__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u762) | ~c_Orderings_Oord__class_Oless(_u762, c_Groups_Ozero__class_Ozero(_u762), _u763) | ~c_Orderings_Oord__class_Oless__eq(_u762, _u763, c_Groups_Oone__class_Oone(_u762)) | c_Orderings_Oord__class_Oless__eq(_u762, c_Groups_Oone__class_Oone(_u762), c_Rings_Oinverse__class_Oinverse(_u762, _u763)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u764) | ( c_Groups_Osgn__class_Osgn(_u764, _u765) != c_Groups_Oone__class_Oone(_u764)) | c_Orderings_Oord__class_Oless(_u764, c_Groups_Ozero__class_Ozero(_u764), _u765) )).
% 15.12/15.29 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u764) | ~c_Orderings_Oord__class_Oless(_u764, c_Groups_Ozero__class_Ozero(_u764), _u765) | ( c_Groups_Osgn__class_Osgn(_u764, _u765) = c_Groups_Oone__class_Oone(_u764)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u766) | ~c_Orderings_Oord__class_Oless(_u766, c_Groups_Ozero__class_Ozero(_u766), _u767) | ( c_Groups_Osgn__class_Osgn(_u766, _u767) = c_Groups_Oone__class_Oone(_u766)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u770, _u771) )).
% 15.12/15.29 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u771, _u770) )).
% 15.12/15.29 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u770, _u771) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u771, _u770) | c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__inverse__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u772) | ( c_Rings_Oinverse__class_Oinverse(_u772, c_Rings_Oinverse__class_Oinverse(_u772, _u773)) = _u773) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u774) | ( c_Groups_Osgn__class_Osgn(_u774, c_Groups_Osgn__class_Osgn(_u774, _u775)) = c_Groups_Osgn__class_Osgn(_u774, _u775)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__iff__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__iff__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u776) | ( c_Rings_Oinverse__class_Oinverse(_u776, _u777) != c_Rings_Oinverse__class_Oinverse(_u776, _u778)) | ( _u777 = _u778) )).
% 15.12/15.29 cnf(fact_inverse__eq__iff__eq-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u776) | ( _u777 != _u778) | ( c_Rings_Oinverse__class_Oinverse(_u776, _u777) = c_Rings_Oinverse__class_Oinverse(_u776, _u778)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u779) | ( c_Rings_Oinverse__class_Oinverse(_u779, _u780) != c_Rings_Oinverse__class_Oinverse(_u779, _u781)) | ( _u780 = _u781) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u782) | ( c_Groups_Oplus__class_Oplus(_u782, _u783, _u784) = c_Groups_Oplus__class_Oplus(_u782, _u784, _u783)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u785) | ( c_Groups_Oplus__class_Oplus(_u785, _u786, c_Groups_Oplus__class_Oplus(_u785, _u787, _u788)) = c_Groups_Oplus__class_Oplus(_u785, _u787, c_Groups_Oplus__class_Oplus(_u785, _u786, _u788))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u789) | ( c_Groups_Oplus__class_Oplus(_u789, _u790, c_Groups_Oplus__class_Oplus(_u789, _u791, _u792)) = c_Groups_Oplus__class_Oplus(_u789, c_Groups_Oplus__class_Oplus(_u789, _u790, _u791), _u792)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u793) | ( c_Groups_Oplus__class_Oplus(_u793, c_Groups_Oplus__class_Oplus(_u793, _u794, _u795), _u796) = c_Groups_Oplus__class_Oplus(_u793, _u794, c_Groups_Oplus__class_Oplus(_u793, _u795, _u796))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Groups_Oplus__class_Oplus(_u797, _u798, _u799), _u800) = c_Groups_Oplus__class_Oplus(_u797, c_Groups_Oplus__class_Oplus(_u797, _u798, _u800), _u799)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u801) | ( c_Groups_Oplus__class_Oplus(_u801, c_Groups_Oplus__class_Oplus(_u801, _u802, _u803), c_Groups_Oplus__class_Oplus(_u801, _u804, _u805)) = c_Groups_Oplus__class_Oplus(_u801, c_Groups_Oplus__class_Oplus(_u801, _u802, _u804), c_Groups_Oplus__class_Oplus(_u801, _u803, _u805))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u806) | ( c_Groups_Oplus__class_Oplus(_u806, c_Groups_Oplus__class_Oplus(_u806, _u807, _u808), _u809) = c_Groups_Oplus__class_Oplus(_u806, _u807, c_Groups_Oplus__class_Oplus(_u806, _u808, _u809))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u810) | ( c_Groups_Oplus__class_Oplus(_u810, _u811, _u812) != c_Groups_Oplus__class_Oplus(_u810, _u811, _u813)) | ( _u812 = _u813) )).
% 15.12/15.29 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u810) | ( _u812 != _u813) | ( c_Groups_Oplus__class_Oplus(_u810, _u811, _u812) = c_Groups_Oplus__class_Oplus(_u810, _u811, _u813)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u814) | ( c_Groups_Oplus__class_Oplus(_u814, _u815, _u816) != c_Groups_Oplus__class_Oplus(_u814, _u817, _u816)) | ( _u815 = _u817) )).
% 15.12/15.29 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u814) | ( _u815 != _u817) | ( c_Groups_Oplus__class_Oplus(_u814, _u815, _u816) = c_Groups_Oplus__class_Oplus(_u814, _u817, _u816)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u818) | ( c_Groups_Oplus__class_Oplus(_u818, _u819, _u820) != c_Groups_Oplus__class_Oplus(_u818, _u819, _u821)) | ( _u820 = _u821) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u822) | ( c_Groups_Oplus__class_Oplus(_u822, _u823, _u824) != c_Groups_Oplus__class_Oplus(_u822, _u823, _u825)) | ( _u824 = _u825) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u826) | ( c_Groups_Oplus__class_Oplus(_u826, _u827, _u828) != c_Groups_Oplus__class_Oplus(_u826, _u829, _u828)) | ( _u827 = _u829) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__add-1, axiom, ( ~class_Fields_Ofield(_u830) | ( _u831 = c_Groups_Ozero__class_Ozero(_u830)) | ( _u832 = c_Groups_Ozero__class_Ozero(_u830)) | ( c_Groups_Oplus__class_Oplus(_u830, c_Rings_Oinverse__class_Oinverse(_u830, _u831), c_Rings_Oinverse__class_Oinverse(_u830, _u832)) = hAPP(c_Groups_Otimes__class_Otimes(_u830, hAPP(c_Groups_Otimes__class_Otimes(_u830, c_Groups_Oplus__class_Oplus(_u830, _u831, _u832)), c_Rings_Oinverse__class_Oinverse(_u830, _u831))), c_Rings_Oinverse__class_Oinverse(_u830, _u832))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_division__ring__inverse__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_division__ring__inverse__add-1, axiom, ( ~class_Rings_Odivision__ring(_u833) | ( _u834 = c_Groups_Ozero__class_Ozero(_u833)) | ( _u835 = c_Groups_Ozero__class_Ozero(_u833)) | ( c_Groups_Oplus__class_Oplus(_u833, c_Rings_Oinverse__class_Oinverse(_u833, _u834), c_Rings_Oinverse__class_Oinverse(_u833, _u835)) = hAPP(c_Groups_Otimes__class_Otimes(_u833, hAPP(c_Groups_Otimes__class_Otimes(_u833, c_Rings_Oinverse__class_Oinverse(_u833, _u834)), c_Groups_Oplus__class_Oplus(_u833, _u834, _u835))), c_Rings_Oinverse__class_Oinverse(_u833, _u835))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__inverse__zero-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u836) | ( c_Rings_Oinverse__class_Oinverse(_u836, c_Groups_Ozero__class_Ozero(_u836)) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__eq__imp__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__eq__imp__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u837) | ( c_Rings_Oinverse__class_Oinverse(_u837, _u838) != c_Rings_Oinverse__class_Oinverse(_u837, _u839)) | ( _u838 = c_Groups_Ozero__class_Ozero(_u837)) | ( _u839 = c_Groups_Ozero__class_Ozero(_u837)) | ( _u838 = _u839) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__zero__imp__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__zero__imp__zero-1, axiom, ( ~class_Rings_Odivision__ring(_u840) | ( c_Rings_Oinverse__class_Oinverse(_u840, _u841) != c_Groups_Ozero__class_Ozero(_u840)) | ( _u841 = c_Groups_Ozero__class_Ozero(_u840)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__inverse__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u842) | ( _u843 = c_Groups_Ozero__class_Ozero(_u842)) | ( c_Rings_Oinverse__class_Oinverse(_u842, c_Rings_Oinverse__class_Oinverse(_u842, _u843)) = _u843) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__imp__inverse__nonzero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__imp__inverse__nonzero-1, axiom, ( ~class_Rings_Odivision__ring(_u844) | ( _u845 = c_Groups_Ozero__class_Ozero(_u844)) | ( c_Rings_Oinverse__class_Oinverse(_u844, _u845) != c_Groups_Ozero__class_Ozero(_u844)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__nonzero__iff__nonzero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__nonzero__iff__nonzero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u846) | ( c_Rings_Oinverse__class_Oinverse(_u846, _u847) != c_Groups_Ozero__class_Ozero(_u846)) | ( _u847 = c_Groups_Ozero__class_Ozero(_u846)) )).
% 15.12/15.29 cnf(fact_inverse__nonzero__iff__nonzero-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u846) | ( _u847 != c_Groups_Ozero__class_Ozero(_u846)) | ( c_Rings_Oinverse__class_Oinverse(_u846, _u847) = c_Groups_Ozero__class_Ozero(_u846)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u848) | ( c_Rings_Oinverse__class_Oinverse(_u848, c_Groups_Ozero__class_Ozero(_u848)) = c_Groups_Ozero__class_Ozero(_u848)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__mult__distrib-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u849) | ( c_Rings_Oinverse__class_Oinverse(_u849, hAPP(c_Groups_Otimes__class_Otimes(_u849, _u850), _u851)) = hAPP(c_Groups_Otimes__class_Otimes(_u849, c_Rings_Oinverse__class_Oinverse(_u849, _u850)), c_Rings_Oinverse__class_Oinverse(_u849, _u851))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__1__iff-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u852) | ( c_Rings_Oinverse__class_Oinverse(_u852, _u853) != c_Groups_Oone__class_Oone(_u852)) | ( _u853 = c_Groups_Oone__class_Oone(_u852)) )).
% 15.12/15.29 cnf(fact_inverse__eq__1__iff-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u852) | ( _u853 != c_Groups_Oone__class_Oone(_u852)) | ( c_Rings_Oinverse__class_Oinverse(_u852, _u853) = c_Groups_Oone__class_Oone(_u852)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__1-1, axiom, ( ~class_Rings_Odivision__ring(_u854) | ( c_Rings_Oinverse__class_Oinverse(_u854, c_Groups_Oone__class_Oone(_u854)) = c_Groups_Oone__class_Oone(_u854)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u855) | ( c_Rings_Oinverse__class_Oinverse(_u855, c_Rings_Oinverse__class_Odivide(_u855, _u856, _u857)) = c_Rings_Oinverse__class_Odivide(_u855, _u857, _u856)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_INVERSE__ZERO ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_INVERSE__ZERO-1, axiom, ( ( c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u858) | ( c_Groups_Oplus__class_Oplus(_u858, _u859, c_Groups_Ozero__class_Ozero(_u858)) = _u859) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u860) | ( c_Groups_Oplus__class_Oplus(_u860, _u861, c_Groups_Ozero__class_Ozero(_u860)) = _u861) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u862) | ( c_Groups_Ozero__class_Ozero(_u862) != c_Groups_Oplus__class_Oplus(_u862, _u863, _u863)) | ( _u863 = c_Groups_Ozero__class_Ozero(_u862)) )).
% 15.12/15.29 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u862) | ( _u863 != c_Groups_Ozero__class_Ozero(_u862)) | ( c_Groups_Ozero__class_Ozero(_u862) = c_Groups_Oplus__class_Oplus(_u862, _u863, _u863)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u864) | ( c_Groups_Oplus__class_Oplus(_u864, c_Groups_Ozero__class_Ozero(_u864), _u865) = _u865) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u866) | ( c_Groups_Oplus__class_Oplus(_u866, c_Groups_Ozero__class_Ozero(_u866), _u867) = _u867) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u868) | ( _u869 != c_Groups_Oplus__class_Oplus(_u868, _u869, _u870)) | ( _u870 = c_Groups_Ozero__class_Ozero(_u868)) )).
% 15.12/15.29 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u868) | ( _u870 != c_Groups_Ozero__class_Ozero(_u868)) | ( _u869 = c_Groups_Oplus__class_Oplus(_u868, _u869, _u870)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u871) | ( c_Groups_Oplus__class_Oplus(_u871, _u872, c_Groups_Ozero__class_Ozero(_u871)) = _u872) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u873) | ( c_Groups_Oplus__class_Oplus(_u873, c_Groups_Ozero__class_Ozero(_u873), _u874) = _u874) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u875) | ~c_Orderings_Oord__class_Oless__eq(_u875, c_Groups_Oplus__class_Oplus(_u875, _u876, _u877), c_Groups_Oplus__class_Oplus(_u875, _u876, _u878)) | c_Orderings_Oord__class_Oless__eq(_u875, _u877, _u878) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u879) | ~c_Orderings_Oord__class_Oless__eq(_u879, c_Groups_Oplus__class_Oplus(_u879, _u880, _u881), c_Groups_Oplus__class_Oplus(_u879, _u882, _u881)) | c_Orderings_Oord__class_Oless__eq(_u879, _u880, _u882) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u883) | ~c_Orderings_Oord__class_Oless__eq(_u883, _u884, _u885) | ~c_Orderings_Oord__class_Oless__eq(_u883, _u886, _u887) | c_Orderings_Oord__class_Oless__eq(_u883, c_Groups_Oplus__class_Oplus(_u883, _u884, _u886), c_Groups_Oplus__class_Oplus(_u883, _u885, _u887)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u888) | ~c_Orderings_Oord__class_Oless__eq(_u888, _u889, _u890) | c_Orderings_Oord__class_Oless__eq(_u888, c_Groups_Oplus__class_Oplus(_u888, _u891, _u889), c_Groups_Oplus__class_Oplus(_u888, _u891, _u890)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u892) | ~c_Orderings_Oord__class_Oless__eq(_u892, _u893, _u894) | c_Orderings_Oord__class_Oless__eq(_u892, c_Groups_Oplus__class_Oplus(_u892, _u893, _u895), c_Groups_Oplus__class_Oplus(_u892, _u894, _u895)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u896) | ~c_Orderings_Oord__class_Oless__eq(_u896, c_Groups_Oplus__class_Oplus(_u896, _u897, _u898), c_Groups_Oplus__class_Oplus(_u896, _u897, _u899)) | c_Orderings_Oord__class_Oless__eq(_u896, _u898, _u899) )).
% 15.12/15.29 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u896) | ~c_Orderings_Oord__class_Oless__eq(_u896, _u898, _u899) | c_Orderings_Oord__class_Oless__eq(_u896, c_Groups_Oplus__class_Oplus(_u896, _u897, _u898), c_Groups_Oplus__class_Oplus(_u896, _u897, _u899)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u900) | ~c_Orderings_Oord__class_Oless__eq(_u900, c_Groups_Oplus__class_Oplus(_u900, _u901, _u902), c_Groups_Oplus__class_Oplus(_u900, _u903, _u902)) | c_Orderings_Oord__class_Oless__eq(_u900, _u901, _u903) )).
% 15.12/15.29 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u900) | ~c_Orderings_Oord__class_Oless__eq(_u900, _u901, _u903) | c_Orderings_Oord__class_Oless__eq(_u900, c_Groups_Oplus__class_Oplus(_u900, _u901, _u902), c_Groups_Oplus__class_Oplus(_u900, _u903, _u902)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u904) | ~c_Orderings_Oord__class_Oless(_u904, c_Groups_Oplus__class_Oplus(_u904, _u905, _u906), c_Groups_Oplus__class_Oplus(_u904, _u907, _u906)) | c_Orderings_Oord__class_Oless(_u904, _u905, _u907) )).
% 15.12/15.29 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u904) | ~c_Orderings_Oord__class_Oless(_u904, _u905, _u907) | c_Orderings_Oord__class_Oless(_u904, c_Groups_Oplus__class_Oplus(_u904, _u905, _u906), c_Groups_Oplus__class_Oplus(_u904, _u907, _u906)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u908) | ~c_Orderings_Oord__class_Oless(_u908, c_Groups_Oplus__class_Oplus(_u908, _u909, _u910), c_Groups_Oplus__class_Oplus(_u908, _u909, _u911)) | c_Orderings_Oord__class_Oless(_u908, _u910, _u911) )).
% 15.12/15.29 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u908) | ~c_Orderings_Oord__class_Oless(_u908, _u910, _u911) | c_Orderings_Oord__class_Oless(_u908, c_Groups_Oplus__class_Oplus(_u908, _u909, _u910), c_Groups_Oplus__class_Oplus(_u908, _u909, _u911)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u912) | ~c_Orderings_Oord__class_Oless(_u912, _u913, _u914) | c_Orderings_Oord__class_Oless(_u912, c_Groups_Oplus__class_Oplus(_u912, _u913, _u915), c_Groups_Oplus__class_Oplus(_u912, _u914, _u915)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u916) | ~c_Orderings_Oord__class_Oless(_u916, _u917, _u918) | c_Orderings_Oord__class_Oless(_u916, c_Groups_Oplus__class_Oplus(_u916, _u919, _u917), c_Groups_Oplus__class_Oplus(_u916, _u919, _u918)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u920) | ~c_Orderings_Oord__class_Oless(_u920, _u921, _u922) | ~c_Orderings_Oord__class_Oless(_u920, _u923, _u924) | c_Orderings_Oord__class_Oless(_u920, c_Groups_Oplus__class_Oplus(_u920, _u921, _u923), c_Groups_Oplus__class_Oplus(_u920, _u922, _u924)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u925) | ~c_Orderings_Oord__class_Oless(_u925, c_Groups_Oplus__class_Oplus(_u925, _u926, _u927), c_Groups_Oplus__class_Oplus(_u925, _u928, _u927)) | c_Orderings_Oord__class_Oless(_u925, _u926, _u928) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u929) | ~c_Orderings_Oord__class_Oless(_u929, c_Groups_Oplus__class_Oplus(_u929, _u930, _u931), c_Groups_Oplus__class_Oplus(_u929, _u930, _u932)) | c_Orderings_Oord__class_Oless(_u929, _u931, _u932) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Oadd__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Oadd__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u933) | ( hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), c_Groups_Oplus__class_Oplus(_u933, _u935, _u936)) = c_Groups_Oplus__class_Oplus(_u933, hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), _u935), hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), _u936))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right_Oadd ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u937) | ( hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), c_Groups_Oplus__class_Oplus(_u937, _u939, _u940)) = c_Groups_Oplus__class_Oplus(_u937, hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), _u939), hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), _u940))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Oadd__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Oadd__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u941) | ( hAPP(c_Groups_Otimes__class_Otimes(_u941, c_Groups_Oplus__class_Oplus(_u941, _u942, _u943)), _u944) = c_Groups_Oplus__class_Oplus(_u941, hAPP(c_Groups_Otimes__class_Otimes(_u941, _u942), _u944), hAPP(c_Groups_Otimes__class_Otimes(_u941, _u943), _u944))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left_Oadd ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u945) | ( hAPP(c_Groups_Otimes__class_Otimes(_u945, c_Groups_Oplus__class_Oplus(_u945, _u946, _u947)), _u948) = c_Groups_Oplus__class_Oplus(_u945, hAPP(c_Groups_Otimes__class_Otimes(_u945, _u946), _u948), hAPP(c_Groups_Otimes__class_Otimes(_u945, _u947), _u948))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u949) | ( hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), c_Groups_Oplus__class_Oplus(_u949, _u951, _u952)) = c_Groups_Oplus__class_Oplus(_u949, hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), _u951), hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), _u952))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( _u954 = _u955) | ( _u956 = _u957) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) != c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) )).
% 15.12/15.29 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) = c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) | ( _u954 != _u955) )).
% 15.12/15.29 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) = c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) | ( _u956 != _u957) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u958) | ( hAPP(c_Groups_Otimes__class_Otimes(_u958, c_Groups_Oplus__class_Oplus(_u958, _u959, _u960)), _u961) = c_Groups_Oplus__class_Oplus(_u958, hAPP(c_Groups_Otimes__class_Otimes(_u958, _u959), _u961), hAPP(c_Groups_Otimes__class_Otimes(_u958, _u960), _u961))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u962) | ( c_Groups_Oplus__class_Oplus(_u962, hAPP(c_Groups_Otimes__class_Otimes(_u962, _u963), _u964), hAPP(c_Groups_Otimes__class_Otimes(_u962, _u965), _u964)) = hAPP(c_Groups_Otimes__class_Otimes(_u962, c_Groups_Oplus__class_Oplus(_u962, _u963, _u965)), _u964)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) != c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u967 = _u969) | ( _u968 = _u970) )).
% 15.12/15.29 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) = c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u967 != _u969) )).
% 15.12/15.29 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) = c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u968 != _u970) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u971) | ( hAPP(c_Groups_Otimes__class_Otimes(_u971, c_Groups_Oplus__class_Oplus(_u971, _u972, _u973)), _u974) = c_Groups_Oplus__class_Oplus(_u971, hAPP(c_Groups_Otimes__class_Otimes(_u971, _u972), _u974), hAPP(c_Groups_Otimes__class_Otimes(_u971, _u973), _u974))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u975) | ( c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, _u976), _u977), c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, _u978), _u977), _u979)) = c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, c_Groups_Oplus__class_Oplus(_u975, _u976, _u978)), _u977), _u979)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide_Oadd ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide_Oadd-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u980) | ( c_Rings_Oinverse__class_Odivide(_u980, c_Groups_Oplus__class_Oplus(_u980, _u981, _u982), _u983) = c_Groups_Oplus__class_Oplus(_u980, c_Rings_Oinverse__class_Odivide(_u980, _u981, _u983), c_Rings_Oinverse__class_Odivide(_u980, _u982, _u983))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u984) | ( c_Rings_Oinverse__class_Odivide(_u984, c_Groups_Oplus__class_Oplus(_u984, _u985, _u986), _u987) = c_Groups_Oplus__class_Oplus(_u984, c_Rings_Oinverse__class_Odivide(_u984, _u985, _u987), c_Rings_Oinverse__class_Odivide(_u984, _u986, _u987))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__add__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u988, _u989) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u990, _u988), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u990, _u989)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__add__mult__distrib-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u991, _u992)), _u993) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u991), _u993), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u992), _u993))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__zero__iff-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u994) | ( c_Groups_Osgn__class_Osgn(_u994, _u995) != c_Groups_Ozero__class_Ozero(_u994)) | ( _u995 = c_Groups_Ozero__class_Ozero(_u994)) )).
% 15.12/15.29 cnf(fact_sgn__zero__iff-2, axiom, ( ~class_RealVector_Oreal__normed__vector(_u994) | ( _u995 != c_Groups_Ozero__class_Ozero(_u994)) | ( c_Groups_Osgn__class_Osgn(_u994, _u995) = c_Groups_Ozero__class_Ozero(_u994)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__zero-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u996) | ( c_Groups_Osgn__class_Osgn(_u996, c_Groups_Ozero__class_Ozero(_u996)) = c_Groups_Ozero__class_Ozero(_u996)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u997) | ( c_Groups_Osgn__class_Osgn(_u997, c_Groups_Ozero__class_Ozero(_u997)) = c_Groups_Ozero__class_Ozero(_u997)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u998) | ( c_Groups_Osgn__class_Osgn(_u998, _u999) != c_Groups_Ozero__class_Ozero(_u998)) | ( _u999 = c_Groups_Ozero__class_Ozero(_u998)) )).
% 15.12/15.29 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u998) | ( _u999 != c_Groups_Ozero__class_Ozero(_u998)) | ( c_Groups_Osgn__class_Osgn(_u998, _u999) = c_Groups_Ozero__class_Ozero(_u998)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__mult-1, axiom, ( ~class_RealVector_Oreal__normed__div__algebra(_u1000) | ( c_Groups_Osgn__class_Osgn(_u1000, hAPP(c_Groups_Otimes__class_Otimes(_u1000, _u1001), _u1002)) = hAPP(c_Groups_Otimes__class_Otimes(_u1000, c_Groups_Osgn__class_Osgn(_u1000, _u1001)), c_Groups_Osgn__class_Osgn(_u1000, _u1002))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u1003) | ( c_Groups_Osgn__class_Osgn(_u1003, hAPP(c_Groups_Otimes__class_Otimes(_u1003, _u1004), _u1005)) = hAPP(c_Groups_Otimes__class_Otimes(_u1003, c_Groups_Osgn__class_Osgn(_u1003, _u1004)), c_Groups_Osgn__class_Osgn(_u1003, _u1005))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__one-1, axiom, ( ~class_RealVector_Oreal__normed__algebra__1(_u1006) | ( c_Groups_Osgn__class_Osgn(_u1006, c_Groups_Oone__class_Oone(_u1006)) = c_Groups_Oone__class_Oone(_u1006)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__nonpositive__iff__nonpositive ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__nonpositive__iff__nonpositive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1007) | ~c_Orderings_Oord__class_Oless__eq(_u1007, c_Rings_Oinverse__class_Oinverse(_u1007, _u1008), c_Groups_Ozero__class_Ozero(_u1007)) | c_Orderings_Oord__class_Oless__eq(_u1007, _u1008, c_Groups_Ozero__class_Ozero(_u1007)) )).
% 15.12/15.29 cnf(fact_inverse__nonpositive__iff__nonpositive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1007) | ~c_Orderings_Oord__class_Oless__eq(_u1007, _u1008, c_Groups_Ozero__class_Ozero(_u1007)) | c_Orderings_Oord__class_Oless__eq(_u1007, c_Rings_Oinverse__class_Oinverse(_u1007, _u1008), c_Groups_Ozero__class_Ozero(_u1007)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__nonnegative__iff__nonnegative ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__nonnegative__iff__nonnegative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1009) | ~c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), c_Rings_Oinverse__class_Oinverse(_u1009, _u1010)) | c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), _u1010) )).
% 15.12/15.29 cnf(fact_inverse__nonnegative__iff__nonnegative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1009) | ~c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), _u1010) | c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), c_Rings_Oinverse__class_Oinverse(_u1009, _u1010)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__less__imp__less__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__less__imp__less__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u1011) | ~c_Orderings_Oord__class_Oless(_u1011, c_Rings_Oinverse__class_Oinverse(_u1011, _u1012), c_Rings_Oinverse__class_Oinverse(_u1011, _u1013)) | ~c_Orderings_Oord__class_Oless(_u1011, _u1013, c_Groups_Ozero__class_Ozero(_u1011)) | c_Orderings_Oord__class_Oless(_u1011, _u1013, _u1012) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__less__imp__less-1, axiom, ( ~class_Fields_Olinordered__field(_u1014) | ~c_Orderings_Oord__class_Oless(_u1014, c_Rings_Oinverse__class_Oinverse(_u1014, _u1015), c_Rings_Oinverse__class_Oinverse(_u1014, _u1016)) | ~c_Orderings_Oord__class_Oless(_u1014, c_Groups_Ozero__class_Ozero(_u1014), _u1015) | c_Orderings_Oord__class_Oless(_u1014, _u1016, _u1015) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__negative__imp__negative ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__negative__imp__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u1017) | ~c_Orderings_Oord__class_Oless(_u1017, c_Rings_Oinverse__class_Oinverse(_u1017, _u1018), c_Groups_Ozero__class_Ozero(_u1017)) | ( _u1018 = c_Groups_Ozero__class_Ozero(_u1017)) | c_Orderings_Oord__class_Oless(_u1017, _u1018, c_Groups_Ozero__class_Ozero(_u1017)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__imp__inverse__less__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__imp__inverse__less__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u1019) | ~c_Orderings_Oord__class_Oless(_u1019, _u1020, _u1021) | ~c_Orderings_Oord__class_Oless(_u1019, _u1021, c_Groups_Ozero__class_Ozero(_u1019)) | c_Orderings_Oord__class_Oless(_u1019, c_Rings_Oinverse__class_Oinverse(_u1019, _u1021), c_Rings_Oinverse__class_Oinverse(_u1019, _u1020)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__imp__inverse__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__imp__inverse__less-1, axiom, ( ~class_Fields_Olinordered__field(_u1022) | ~c_Orderings_Oord__class_Oless(_u1022, _u1023, _u1024) | ~c_Orderings_Oord__class_Oless(_u1022, c_Groups_Ozero__class_Ozero(_u1022), _u1023) | c_Orderings_Oord__class_Oless(_u1022, c_Rings_Oinverse__class_Oinverse(_u1022, _u1024), c_Rings_Oinverse__class_Oinverse(_u1022, _u1023)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_negative__imp__inverse__negative ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_negative__imp__inverse__negative-1, axiom, ( ~class_Fields_Olinordered__field(_u1025) | ~c_Orderings_Oord__class_Oless(_u1025, _u1026, c_Groups_Ozero__class_Ozero(_u1025)) | c_Orderings_Oord__class_Oless(_u1025, c_Rings_Oinverse__class_Oinverse(_u1025, _u1026), c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__positive__imp__positive ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__positive__imp__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u1027) | ~c_Orderings_Oord__class_Oless(_u1027, c_Groups_Ozero__class_Ozero(_u1027), c_Rings_Oinverse__class_Oinverse(_u1027, _u1028)) | ( _u1028 = c_Groups_Ozero__class_Ozero(_u1027)) | c_Orderings_Oord__class_Oless(_u1027, c_Groups_Ozero__class_Ozero(_u1027), _u1028) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_positive__imp__inverse__positive ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_positive__imp__inverse__positive-1, axiom, ( ~class_Fields_Olinordered__field(_u1029) | ~c_Orderings_Oord__class_Oless(_u1029, c_Groups_Ozero__class_Ozero(_u1029), _u1030) | c_Orderings_Oord__class_Oless(_u1029, c_Groups_Ozero__class_Ozero(_u1029), c_Rings_Oinverse__class_Oinverse(_u1029, _u1030)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__negative__iff__negative ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__negative__iff__negative-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1031) | ~c_Orderings_Oord__class_Oless(_u1031, c_Rings_Oinverse__class_Oinverse(_u1031, _u1032), c_Groups_Ozero__class_Ozero(_u1031)) | c_Orderings_Oord__class_Oless(_u1031, _u1032, c_Groups_Ozero__class_Ozero(_u1031)) )).
% 15.12/15.29 cnf(fact_inverse__negative__iff__negative-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1031) | ~c_Orderings_Oord__class_Oless(_u1031, _u1032, c_Groups_Ozero__class_Ozero(_u1031)) | c_Orderings_Oord__class_Oless(_u1031, c_Rings_Oinverse__class_Oinverse(_u1031, _u1032), c_Groups_Ozero__class_Ozero(_u1031)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__positive__iff__positive ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__positive__iff__positive-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), c_Rings_Oinverse__class_Oinverse(_u1033, _u1034)) | c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), _u1034) )).
% 15.12/15.29 cnf(fact_inverse__positive__iff__positive-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), _u1034) | c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), c_Rings_Oinverse__class_Oinverse(_u1033, _u1034)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__mult__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u1035) | ( _u1036 = c_Groups_Ozero__class_Ozero(_u1035)) | ( _u1037 = c_Groups_Ozero__class_Ozero(_u1035)) | ( c_Rings_Oinverse__class_Oinverse(_u1035, hAPP(c_Groups_Otimes__class_Otimes(_u1035, _u1036), _u1037)) = hAPP(c_Groups_Otimes__class_Otimes(_u1035, c_Rings_Oinverse__class_Oinverse(_u1035, _u1037)), c_Rings_Oinverse__class_Oinverse(_u1035, _u1036))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__unique ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__unique-1, axiom, ( ~class_Rings_Odivision__ring(_u1038) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1038, _u1039), _u1040) != c_Groups_Oone__class_Oone(_u1038)) | ( c_Rings_Oinverse__class_Oinverse(_u1038, _u1039) = _u1040) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__divide__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__divide__inverse-1, axiom, ( ~class_Fields_Ofield(_u1041) | ( c_Rings_Oinverse__class_Odivide(_u1041, _u1042, _u1043) = hAPP(c_Groups_Otimes__class_Otimes(_u1041, _u1042), c_Rings_Oinverse__class_Oinverse(_u1041, _u1043))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u1044) | ( c_Rings_Oinverse__class_Odivide(_u1044, _u1045, _u1046) = hAPP(c_Groups_Otimes__class_Otimes(_u1044, _u1045), c_Rings_Oinverse__class_Oinverse(_u1044, _u1046))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__class_Onormalizing__field__rules_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__class_Onormalizing__field__rules_I2_J-1, axiom, ( ~class_Fields_Ofield(_u1047) | ( c_Rings_Oinverse__class_Oinverse(_u1047, _u1048) = c_Rings_Oinverse__class_Odivide(_u1047, c_Groups_Oone__class_Oone(_u1047), _u1048)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u1049) | ( c_Rings_Oinverse__class_Oinverse(_u1049, _u1050) = c_Rings_Oinverse__class_Odivide(_u1049, c_Groups_Oone__class_Oone(_u1049), _u1050)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1051) | ~c_Orderings_Oord__class_Oless__eq(_u1051, _u1052, c_Groups_Ozero__class_Ozero(_u1051)) | ~c_Orderings_Oord__class_Oless__eq(_u1051, _u1053, c_Groups_Ozero__class_Ozero(_u1051)) | c_Orderings_Oord__class_Oless__eq(_u1051, c_Groups_Oplus__class_Oplus(_u1051, _u1052, _u1053), c_Groups_Ozero__class_Ozero(_u1051)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1054) | ~c_Orderings_Oord__class_Oless__eq(_u1054, c_Groups_Ozero__class_Ozero(_u1054), _u1055) | ~c_Orderings_Oord__class_Oless__eq(_u1054, _u1056, _u1057) | c_Orderings_Oord__class_Oless__eq(_u1054, _u1056, c_Groups_Oplus__class_Oplus(_u1054, _u1057, _u1055)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1058) | ~c_Orderings_Oord__class_Oless__eq(_u1058, c_Groups_Ozero__class_Ozero(_u1058), _u1059) | ~c_Orderings_Oord__class_Oless__eq(_u1058, _u1060, _u1061) | c_Orderings_Oord__class_Oless__eq(_u1058, _u1060, c_Groups_Oplus__class_Oplus(_u1058, _u1059, _u1061)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1063 = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.29 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1064 = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.29 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( _u1063 != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1064 != c_Groups_Ozero__class_Ozero(_u1062)) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1065) | ~c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), _u1066) | ~c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), _u1067) | c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), c_Groups_Oplus__class_Oplus(_u1065, _u1066, _u1067)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1068) | ~c_Orderings_Oord__class_Oless__eq(_u1068, c_Groups_Oplus__class_Oplus(_u1068, _u1069, _u1069), c_Groups_Ozero__class_Ozero(_u1068)) | c_Orderings_Oord__class_Oless__eq(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) )).
% 15.12/15.29 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1068) | ~c_Orderings_Oord__class_Oless__eq(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) | c_Orderings_Oord__class_Oless__eq(_u1068, c_Groups_Oplus__class_Oplus(_u1068, _u1069, _u1069), c_Groups_Ozero__class_Ozero(_u1068)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ~c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) | c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), _u1071) )).
% 15.12/15.29 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ~c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), _u1071) | c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1072) | ~c_Orderings_Oord__class_Oless(_u1072, _u1073, c_Groups_Ozero__class_Ozero(_u1072)) | ~c_Orderings_Oord__class_Oless(_u1072, _u1074, c_Groups_Ozero__class_Ozero(_u1072)) | c_Orderings_Oord__class_Oless(_u1072, c_Groups_Oplus__class_Oplus(_u1072, _u1073, _u1074), c_Groups_Ozero__class_Ozero(_u1072)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1075) | ~c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), _u1076) | ~c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), _u1077) | c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), c_Groups_Oplus__class_Oplus(_u1075, _u1076, _u1077)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1078) | ~c_Orderings_Oord__class_Oless(_u1078, c_Groups_Oplus__class_Oplus(_u1078, _u1079, _u1079), c_Groups_Ozero__class_Ozero(_u1078)) | c_Orderings_Oord__class_Oless(_u1078, _u1079, c_Groups_Ozero__class_Ozero(_u1078)) )).
% 15.12/15.29 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1078) | ~c_Orderings_Oord__class_Oless(_u1078, _u1079, c_Groups_Ozero__class_Ozero(_u1078)) | c_Orderings_Oord__class_Oless(_u1078, c_Groups_Oplus__class_Oplus(_u1078, _u1079, _u1079), c_Groups_Ozero__class_Ozero(_u1078)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1081)) | c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), _u1081) )).
% 15.12/15.29 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), _u1081) | c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1081)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1082) | ~c_Orderings_Oord__class_Oless(_u1082, c_Groups_Ozero__class_Ozero(_u1082), _u1083) | ~c_Orderings_Oord__class_Oless(_u1082, _u1084, _u1085) | c_Orderings_Oord__class_Oless(_u1082, _u1084, c_Groups_Oplus__class_Oplus(_u1082, _u1083, _u1085)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1086) | ~c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) | ~c_Orderings_Oord__class_Oless__eq(_u1086, _u1089, _u1090) | c_Orderings_Oord__class_Oless(_u1086, c_Groups_Oplus__class_Oplus(_u1086, _u1087, _u1089), c_Groups_Oplus__class_Oplus(_u1086, _u1088, _u1090)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, _u1092, _u1093) | ~c_Orderings_Oord__class_Oless(_u1091, _u1094, _u1095) | c_Orderings_Oord__class_Oless(_u1091, c_Groups_Oplus__class_Oplus(_u1091, _u1092, _u1094), c_Groups_Oplus__class_Oplus(_u1091, _u1093, _u1095)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1096) | ( _u1097 = c_Groups_Ozero__class_Ozero(_u1096)) | ( _u1098 != _u1099) | ( _u1100 = _u1101) | ( c_Groups_Oplus__class_Oplus(_u1096, _u1098, hAPP(c_Groups_Otimes__class_Otimes(_u1096, _u1097), _u1100)) != c_Groups_Oplus__class_Oplus(_u1096, _u1099, hAPP(c_Groups_Otimes__class_Otimes(_u1096, _u1097), _u1101))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1102) | c_Orderings_Oord__class_Oless(_u1102, _u1103, c_Groups_Oplus__class_Oplus(_u1102, _u1103, c_Groups_Oone__class_Oone(_u1102))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1104) | ( c_Groups_Oplus__class_Oplus(_u1104, hAPP(c_Groups_Otimes__class_Otimes(_u1104, _u1105), _u1106), _u1106) = hAPP(c_Groups_Otimes__class_Otimes(_u1104, c_Groups_Oplus__class_Oplus(_u1104, _u1105, c_Groups_Oone__class_Oone(_u1104))), _u1106)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1107) | ( c_Groups_Oplus__class_Oplus(_u1107, _u1108, hAPP(c_Groups_Otimes__class_Otimes(_u1107, _u1109), _u1108)) = hAPP(c_Groups_Otimes__class_Otimes(_u1107, c_Groups_Oplus__class_Oplus(_u1107, _u1109, c_Groups_Oone__class_Oone(_u1107))), _u1108)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u1110) | ( c_Groups_Oplus__class_Oplus(_u1110, _u1111, _u1111) = hAPP(c_Groups_Otimes__class_Otimes(_u1110, c_Groups_Oplus__class_Oplus(_u1110, c_Groups_Oone__class_Oone(_u1110), c_Groups_Oone__class_Oone(_u1110))), _u1111)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__real__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__real__def-1, axiom, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1112, _u1113) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1112), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1113))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__divide__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__divide__def-1, axiom, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1114, _u1115) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1114), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1115))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__two__squares__add__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__two__squares__add__zero__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1118), _u1118), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1120), _u1120)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1118 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_real__two__squares__add__zero__iff-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1118), _u1118), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1120), _u1120)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1120 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_real__two__squares__add__zero__iff-3, axiom, ( ( _u1119 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1121 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1119), _u1119), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1121), _u1121)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, c_Groups_Osgn__class_Osgn(_u1122, _u1123), c_Groups_Ozero__class_Ozero(_u1122)) | c_Orderings_Oord__class_Oless(_u1122, _u1123, c_Groups_Ozero__class_Ozero(_u1122)) )).
% 15.12/15.29 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, c_Groups_Ozero__class_Ozero(_u1122)) | c_Orderings_Oord__class_Oless(_u1122, c_Groups_Osgn__class_Osgn(_u1122, _u1123), c_Groups_Ozero__class_Ozero(_u1122)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u1124) | ~c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), c_Groups_Osgn__class_Osgn(_u1124, _u1125)) | c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), _u1125) )).
% 15.12/15.29 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u1124) | ~c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), _u1125) | c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), c_Groups_Osgn__class_Osgn(_u1124, _u1125)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__le__imp__le__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__le__imp__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u1126) | ~c_Orderings_Oord__class_Oless__eq(_u1126, c_Rings_Oinverse__class_Oinverse(_u1126, _u1127), c_Rings_Oinverse__class_Oinverse(_u1126, _u1128)) | ~c_Orderings_Oord__class_Oless(_u1126, _u1128, c_Groups_Ozero__class_Ozero(_u1126)) | c_Orderings_Oord__class_Oless__eq(_u1126, _u1128, _u1127) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__le__imp__le-1, axiom, ( ~class_Fields_Olinordered__field(_u1129) | ~c_Orderings_Oord__class_Oless__eq(_u1129, c_Rings_Oinverse__class_Oinverse(_u1129, _u1130), c_Rings_Oinverse__class_Oinverse(_u1129, _u1131)) | ~c_Orderings_Oord__class_Oless(_u1129, c_Groups_Ozero__class_Ozero(_u1129), _u1130) | c_Orderings_Oord__class_Oless__eq(_u1129, _u1131, _u1130) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__imp__inverse__le__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__imp__inverse__le__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u1132) | ~c_Orderings_Oord__class_Oless__eq(_u1132, _u1133, _u1134) | ~c_Orderings_Oord__class_Oless(_u1132, _u1134, c_Groups_Ozero__class_Ozero(_u1132)) | c_Orderings_Oord__class_Oless__eq(_u1132, c_Rings_Oinverse__class_Oinverse(_u1132, _u1134), c_Rings_Oinverse__class_Oinverse(_u1132, _u1133)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__imp__inverse__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__imp__inverse__le-1, axiom, ( ~class_Fields_Olinordered__field(_u1135) | ~c_Orderings_Oord__class_Oless__eq(_u1135, _u1136, _u1137) | ~c_Orderings_Oord__class_Oless(_u1135, c_Groups_Ozero__class_Ozero(_u1135), _u1136) | c_Orderings_Oord__class_Oless__eq(_u1135, c_Rings_Oinverse__class_Oinverse(_u1135, _u1137), c_Rings_Oinverse__class_Oinverse(_u1135, _u1136)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__le__1__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__le__1__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | ~c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | c_Orderings_Oord__class_Oless__eq(_u1138, _u1139, c_Groups_Ozero__class_Ozero(_u1138)) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Groups_Oone__class_Oone(_u1138), _u1139) )).
% 15.12/15.29 cnf(fact_inverse__le__1__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | ~c_Orderings_Oord__class_Oless__eq(_u1138, _u1139, c_Groups_Ozero__class_Ozero(_u1138)) )).
% 15.12/15.29 cnf(fact_inverse__le__1__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | ~c_Orderings_Oord__class_Oless__eq(_u1138, c_Groups_Oone__class_Oone(_u1138), _u1139) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__less__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__less__inverse-1, axiom, ( ~class_Fields_Olinordered__field(_u1140) | ~c_Orderings_Oord__class_Oless(_u1140, c_Groups_Ozero__class_Ozero(_u1140), _u1141) | ~c_Orderings_Oord__class_Oless(_u1140, _u1141, c_Groups_Oone__class_Oone(_u1140)) | c_Orderings_Oord__class_Oless(_u1140, c_Groups_Oone__class_Oone(_u1140), c_Rings_Oinverse__class_Oinverse(_u1140, _u1141)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__less__inverse__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__less__inverse__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) | c_Orderings_Oord__class_Oless(_u1142, c_Groups_Ozero__class_Ozero(_u1142), _u1143) )).
% 15.12/15.29 cnf(fact_one__less__inverse__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) | c_Orderings_Oord__class_Oless(_u1142, _u1143, c_Groups_Oone__class_Oone(_u1142)) )).
% 15.12/15.29 cnf(fact_one__less__inverse__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Ozero__class_Ozero(_u1142), _u1143) | ~c_Orderings_Oord__class_Oless(_u1142, _u1143, c_Groups_Oone__class_Oone(_u1142)) | c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__inverse-1, axiom, ( ~class_Fields_Ofield(_u1144) | ( _u1145 = c_Groups_Ozero__class_Ozero(_u1144)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1144, c_Rings_Oinverse__class_Oinverse(_u1144, _u1145)), _u1145) = c_Groups_Oone__class_Oone(_u1144)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_left__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_left__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u1146) | ( _u1147 = c_Groups_Ozero__class_Ozero(_u1146)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1146, c_Rings_Oinverse__class_Oinverse(_u1146, _u1147)), _u1147) = c_Groups_Oone__class_Oone(_u1146)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_right__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_right__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u1148) | ( _u1149 = c_Groups_Ozero__class_Ozero(_u1148)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1148, _u1149), c_Rings_Oinverse__class_Oinverse(_u1148, _u1149)) = c_Groups_Oone__class_Oone(_u1148)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__eq__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__eq__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u1150) | ( _u1151 = c_Groups_Ozero__class_Ozero(_u1150)) | ( c_Rings_Oinverse__class_Oinverse(_u1150, _u1151) = c_Rings_Oinverse__class_Odivide(_u1150, c_Groups_Oone__class_Oone(_u1150), _u1151)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1152) | ~c_Orderings_Oord__class_Oless__eq(_u1152, _u1153, c_Groups_Ozero__class_Ozero(_u1152)) | ~c_Orderings_Oord__class_Oless(_u1152, _u1154, c_Groups_Ozero__class_Ozero(_u1152)) | c_Orderings_Oord__class_Oless(_u1152, c_Groups_Oplus__class_Oplus(_u1152, _u1153, _u1154), c_Groups_Ozero__class_Ozero(_u1152)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1155) | ~c_Orderings_Oord__class_Oless(_u1155, _u1156, c_Groups_Ozero__class_Ozero(_u1155)) | ~c_Orderings_Oord__class_Oless__eq(_u1155, _u1157, c_Groups_Ozero__class_Ozero(_u1155)) | c_Orderings_Oord__class_Oless(_u1155, c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1157), c_Groups_Ozero__class_Ozero(_u1155)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1158) | ~c_Orderings_Oord__class_Oless__eq(_u1158, c_Groups_Ozero__class_Ozero(_u1158), _u1159) | ~c_Orderings_Oord__class_Oless(_u1158, _u1160, _u1161) | c_Orderings_Oord__class_Oless(_u1158, _u1160, c_Groups_Oplus__class_Oplus(_u1158, _u1159, _u1161)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, _u1164, _u1165) | c_Orderings_Oord__class_Oless(_u1162, _u1164, c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1165)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1166) | ~c_Orderings_Oord__class_Oless__eq(_u1166, c_Groups_Ozero__class_Ozero(_u1166), _u1167) | ~c_Orderings_Oord__class_Oless(_u1166, c_Groups_Ozero__class_Ozero(_u1166), _u1168) | c_Orderings_Oord__class_Oless(_u1166, c_Groups_Ozero__class_Ozero(_u1166), c_Groups_Oplus__class_Oplus(_u1166, _u1167, _u1168)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u1169) | ~c_Orderings_Oord__class_Oless(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1170) | ~c_Orderings_Oord__class_Oless__eq(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1171) | c_Orderings_Oord__class_Oless(_u1169, c_Groups_Ozero__class_Ozero(_u1169), c_Groups_Oplus__class_Oplus(_u1169, _u1170, _u1171)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u1172) | c_Orderings_Oord__class_Oless(_u1172, c_Groups_Ozero__class_Ozero(_u1172), c_Groups_Oplus__class_Oplus(_u1172, c_Groups_Oone__class_Oone(_u1172), c_Groups_Oone__class_Oone(_u1172))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u1173) | ( _u1174 = c_Groups_Ozero__class_Ozero(_u1173)) | ( _u1175 = c_Groups_Ozero__class_Ozero(_u1173)) | ( c_Groups_Oplus__class_Oplus(_u1173, c_Rings_Oinverse__class_Odivide(_u1173, _u1176, _u1174), c_Rings_Oinverse__class_Odivide(_u1173, _u1177, _u1175)) = c_Rings_Oinverse__class_Odivide(_u1173, c_Groups_Oplus__class_Oplus(_u1173, hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1176), _u1175), hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1177), _u1174)), hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1174), _u1175))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u1178) | ( _u1179 = c_Groups_Ozero__class_Ozero(_u1178)) | ( c_Groups_Oplus__class_Oplus(_u1178, c_Rings_Oinverse__class_Odivide(_u1178, _u1180, _u1179), _u1181) = c_Rings_Oinverse__class_Odivide(_u1178, c_Groups_Oplus__class_Oplus(_u1178, _u1180, hAPP(c_Groups_Otimes__class_Otimes(_u1178, _u1179), _u1181)), _u1179)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1182) | ( _u1183 = c_Groups_Ozero__class_Ozero(_u1182)) | ( c_Groups_Oplus__class_Oplus(_u1182, c_Rings_Oinverse__class_Odivide(_u1182, _u1184, _u1183), _u1185) = c_Rings_Oinverse__class_Odivide(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1184, hAPP(c_Groups_Otimes__class_Otimes(_u1182, _u1185), _u1183)), _u1183)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u1186) | ( _u1187 = c_Groups_Ozero__class_Ozero(_u1186)) | ( c_Groups_Oplus__class_Oplus(_u1186, _u1188, c_Rings_Oinverse__class_Odivide(_u1186, _u1189, _u1187)) = c_Rings_Oinverse__class_Odivide(_u1186, c_Groups_Oplus__class_Oplus(_u1186, hAPP(c_Groups_Otimes__class_Otimes(_u1186, _u1187), _u1188), _u1189), _u1187)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1190) | ( _u1191 = c_Groups_Ozero__class_Ozero(_u1190)) | ( c_Groups_Oplus__class_Oplus(_u1190, _u1192, c_Rings_Oinverse__class_Odivide(_u1190, _u1193, _u1191)) = c_Rings_Oinverse__class_Odivide(_u1190, c_Groups_Oplus__class_Oplus(_u1190, _u1193, hAPP(c_Groups_Otimes__class_Otimes(_u1190, _u1192), _u1191)), _u1191)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__mult__inverse__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__mult__inverse__left-1, axiom, ( ( _u1194 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1194)), _u1194) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u1195) | ~c_Orderings_Oord__class_Oless(_u1195, _u1196, _u1197) | c_Orderings_Oord__class_Oless(_u1195, c_Rings_Oinverse__class_Odivide(_u1195, c_Groups_Oplus__class_Oplus(_u1195, _u1196, _u1197), c_Groups_Oplus__class_Oplus(_u1195, c_Groups_Oone__class_Oone(_u1195), c_Groups_Oone__class_Oone(_u1195))), _u1197) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u1198) | ~c_Orderings_Oord__class_Oless(_u1198, _u1199, _u1200) | c_Orderings_Oord__class_Oless(_u1198, _u1199, c_Rings_Oinverse__class_Odivide(_u1198, c_Groups_Oplus__class_Oplus(_u1198, _u1199, _u1200), c_Groups_Oplus__class_Oplus(_u1198, c_Groups_Oone__class_Oone(_u1198), c_Groups_Oone__class_Oone(_u1198)))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__sgn__pos ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__sgn__pos-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1201) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1201) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1202) | ~c_Orderings_Oord__class_Oless(_u1202, c_Groups_Oplus__class_Oplus(_u1202, hAPP(c_Groups_Otimes__class_Otimes(_u1202, _u1203), _u1203), hAPP(c_Groups_Otimes__class_Otimes(_u1202, _u1204), _u1204)), c_Groups_Ozero__class_Ozero(_u1202)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1205) | ~c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1206 != c_Groups_Ozero__class_Ozero(_u1205)) | ( _u1207 != c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1205) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1206 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.29 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1205) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1207 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ~c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1209 = c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.29 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ~c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1210 = c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.29 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ( _u1209 != c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1210 != c_Groups_Ozero__class_Ozero(_u1208)) | c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u1211) | c_Orderings_Oord__class_Oless__eq(_u1211, c_Groups_Ozero__class_Ozero(_u1211), c_Groups_Oplus__class_Oplus(_u1211, hAPP(c_Groups_Otimes__class_Otimes(_u1211, _u1212), _u1212), hAPP(c_Groups_Otimes__class_Otimes(_u1211, _u1213), _u1213))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__mult__inverse__cancel2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__mult__inverse__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1214) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1215) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1215), _u1216), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1214), _u1217)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1216), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1214)), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1217), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1215))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__mult__inverse__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__mult__inverse__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1218) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1219) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1219), _u1220), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1218), _u1221)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1218)), _u1220), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1219)), _u1221)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1223 = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.29 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1224 = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.29 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( _u1223 != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1224 != c_Groups_Ozero__class_Ozero(_u1222)) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1225) | ~c_Orderings_Oord__class_Oless(_u1225, c_Groups_Oplus__class_Oplus(_u1225, _u1226, _u1226), c_Groups_Ozero__class_Ozero(_u1225)) | c_Orderings_Oord__class_Oless(_u1225, _u1226, c_Groups_Ozero__class_Ozero(_u1225)) )).
% 15.12/15.29 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1225) | ~c_Orderings_Oord__class_Oless(_u1225, _u1226, c_Groups_Ozero__class_Ozero(_u1225)) | c_Orderings_Oord__class_Oless(_u1225, c_Groups_Oplus__class_Oplus(_u1225, _u1226, _u1226), c_Groups_Ozero__class_Ozero(_u1225)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1227) | ( c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1228) != c_Groups_Ozero__class_Ozero(_u1227)) | ( _u1228 = c_Groups_Ozero__class_Ozero(_u1227)) )).
% 15.12/15.29 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1227) | ( _u1228 != c_Groups_Ozero__class_Ozero(_u1227)) | ( c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1228) = c_Groups_Ozero__class_Ozero(_u1227)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u1230) | c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, _u1232) | c_Orderings_Oord__class_Oless(_u1230, c_Groups_Ozero__class_Ozero(_u1230), skolem6(_u1232, _u1231, _u1230)) )).
% 15.12/15.29 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u1230) | c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, _u1232) | ~c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, c_Groups_Oplus__class_Oplus(_u1230, _u1232, skolem6(_u1232, _u1231, _u1230))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__add__one__self__le__self ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__add__one__self__le__self-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1233) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1233)), _u1233) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__mult-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1234) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1235) | ( hAPP(c_Transcendental_Oln, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1234), _u1235)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1234), hAPP(c_Transcendental_Oln, _u1235))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__less__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__less__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1236) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1236), hAPP(c_Transcendental_Oln, _u1237)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1236, _u1237) )).
% 15.12/15.29 cnf(fact_ln__less__cancel__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1236) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1236, _u1237) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1236), hAPP(c_Transcendental_Oln, _u1237)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__inj__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__inj__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1238) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( hAPP(c_Transcendental_Oln, _u1238) != hAPP(c_Transcendental_Oln, _u1239)) | ( _u1238 = _u1239) )).
% 15.12/15.29 cnf(fact_ln__inj__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1238) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( _u1238 != _u1239) | ( hAPP(c_Transcendental_Oln, _u1238) = hAPP(c_Transcendental_Oln, _u1239)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__less__self ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__less__self-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1240) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1240), _u1240) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__one-1, axiom, ( ( hAPP(c_Transcendental_Oln, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__le__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__le__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1241) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1242) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1241), hAPP(c_Transcendental_Oln, _u1242)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1241, _u1242) )).
% 15.12/15.29 cnf(fact_ln__le__cancel__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1241) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1242) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1241, _u1242) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1241), hAPP(c_Transcendental_Oln, _u1242)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__ge__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__ge__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1243) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1243)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__gt__zero__imp__gt__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__gt__zero__imp__gt__one-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1244)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1244) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1244) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__less__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__less__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1245) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1245, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1245), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__less__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__less__zero__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1246), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_ln__less__zero__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1246), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__eq__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__eq__zero__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1247) | ( hAPP(c_Transcendental_Oln, _u1247) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1247 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_ln__eq__zero__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1247) | ( _u1247 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( hAPP(c_Transcendental_Oln, _u1247) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__gt__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__gt__zero__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1248)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1248) )).
% 15.12/15.29 cnf(fact_ln__gt__zero__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1248) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1248)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__gt__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__gt__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1249) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1249)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__ge__zero__imp__ge__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__ge__zero__imp__ge__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1250)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1250) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1250) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__ge__zero__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__ge__zero__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1251) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1251)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1251) )).
% 15.12/15.29 cnf(fact_ln__ge__zero__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1251) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1251) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1251)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) )).
% 15.12/15.29 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__ln__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__ln__divide-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1268) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, _u1268, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1268)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u1269) | ( c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, _u1270), c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, _u1271), _u1272)) = c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1270, _u1271)), _u1272)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u1273) | ( c_Groups_Oplus__class_Oplus(_u1273, c_Int_Onumber__class_Onumber__of(_u1273, _u1274), c_Int_Onumber__class_Onumber__of(_u1273, _u1275)) = c_Int_Onumber__class_Onumber__of(_u1273, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1274, _u1275))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u1276) | ( c_Int_Onumber__class_Onumber__of(_u1276, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1277, _u1278)) = c_Groups_Oplus__class_Oplus(_u1276, c_Int_Onumber__class_Onumber__of(_u1276, _u1277), c_Int_Onumber__class_Onumber__of(_u1276, _u1278))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u1279) | ~class_Rings_Olinordered__idom(_u1279) | ~c_Orderings_Oord__class_Oless(_u1279, c_Int_Onumber__class_Onumber__of(_u1279, _u1280), c_Int_Onumber__class_Onumber__of(_u1279, _u1281)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1280, _u1281) )).
% 15.12/15.29 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u1279) | ~class_Rings_Olinordered__idom(_u1279) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1280, _u1281) | c_Orderings_Oord__class_Oless(_u1279, c_Int_Onumber__class_Onumber__of(_u1279, _u1280), c_Int_Onumber__class_Onumber__of(_u1279, _u1281)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u1282) | ~class_Int_Oring__char__0(_u1282) | ( c_Int_Onumber__class_Onumber__of(_u1282, _u1283) != c_Int_Onumber__class_Onumber__of(_u1282, _u1284)) | ( _u1283 = _u1284) )).
% 15.12/15.29 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u1282) | ~class_Int_Oring__char__0(_u1282) | ( _u1283 != _u1284) | ( c_Int_Onumber__class_Onumber__of(_u1282, _u1283) = c_Int_Onumber__class_Onumber__of(_u1282, _u1284)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u1285) | ( c_Int_Onumber__class_Onumber__of(_u1285, _u1286) != _u1287) | ( _u1287 = c_Int_Onumber__class_Onumber__of(_u1285, _u1286)) )).
% 15.12/15.29 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u1285) | ( _u1287 != c_Int_Onumber__class_Onumber__of(_u1285, _u1286)) | ( c_Int_Onumber__class_Onumber__of(_u1285, _u1286) = _u1287) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u1288) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, _u1289)), hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, _u1290)), _u1291)) = hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1289), _u1290))), _u1291)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u1292) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1292, c_Int_Onumber__class_Onumber__of(_u1292, _u1293)), c_Int_Onumber__class_Onumber__of(_u1292, _u1294)) = c_Int_Onumber__class_Onumber__of(_u1292, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1293), _u1294))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u1295) | ( c_Int_Onumber__class_Onumber__of(_u1295, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1296), _u1297)) = hAPP(c_Groups_Otimes__class_Otimes(_u1295, c_Int_Onumber__class_Onumber__of(_u1295, _u1296)), c_Int_Onumber__class_Onumber__of(_u1295, _u1297))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u1298) | ~class_Rings_Olinordered__idom(_u1298) | ~c_Orderings_Oord__class_Oless__eq(_u1298, c_Int_Onumber__class_Onumber__of(_u1298, _u1299), c_Int_Onumber__class_Onumber__of(_u1298, _u1300)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1299, _u1300) )).
% 15.12/15.29 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u1298) | ~class_Rings_Olinordered__idom(_u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(_u1298, c_Int_Onumber__class_Onumber__of(_u1298, _u1299), c_Int_Onumber__class_Onumber__of(_u1298, _u1300)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u1301) | ~class_Orderings_Olinorder(_u1301) | ~c_Orderings_Oord__class_Oless__eq(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1302), c_Int_Onumber__class_Onumber__of(_u1301, _u1303)) | ~c_Orderings_Oord__class_Oless(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1303), c_Int_Onumber__class_Onumber__of(_u1301, _u1302)) )).
% 15.12/15.29 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u1301) | ~class_Orderings_Olinorder(_u1301) | c_Orderings_Oord__class_Oless(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1303), c_Int_Onumber__class_Onumber__of(_u1301, _u1302)) | c_Orderings_Oord__class_Oless__eq(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1302), c_Int_Onumber__class_Onumber__of(_u1301, _u1303)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u1304) | ~class_Rings_Osemiring(_u1304) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1304, c_Groups_Oplus__class_Oplus(_u1304, _u1305, _u1306)), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)) = c_Groups_Oplus__class_Oplus(_u1304, hAPP(c_Groups_Otimes__class_Otimes(_u1304, _u1305), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)), hAPP(c_Groups_Otimes__class_Otimes(_u1304, _u1306), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u1308) | ~class_Rings_Osemiring(_u1308) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), c_Groups_Oplus__class_Oplus(_u1308, _u1310, _u1311)) = c_Groups_Oplus__class_Oplus(_u1308, hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), _u1310), hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), _u1311))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 != c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) = c_Groups_Ozero__class_Ozero(_u1312)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) = _u1314) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 != c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) != c_Groups_Ozero__class_Ozero(_u1312)) | ( _u1313 = c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) != c_Groups_Ozero__class_Ozero(_u1312)) | ( _u1313 != c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) != _u1314) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) = c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) != _u1314) | ( _u1313 != c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 = c_Groups_Ozero__class_Ozero(_u1316)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) = _u1318) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 != c_Groups_Ozero__class_Ozero(_u1316)) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 != c_Groups_Ozero__class_Ozero(_u1316)) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) != _u1318) | ( _u1319 = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.29 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) != _u1318) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) != c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 = c_Groups_Ozero__class_Ozero(_u1320)) | ( _u1321 = hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) != c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 != c_Groups_Ozero__class_Ozero(_u1320)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) = c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 != c_Groups_Ozero__class_Ozero(_u1320)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) != c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1321 != hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) | ( _u1322 = c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1321 != hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) != c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) != _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) = c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1325 = hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) != _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) != c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1327 = c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) != c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1327 != c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( _u1325 != hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) = c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.29 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( _u1325 != hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) | ( _u1327 != c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__eq__divide__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__eq__divide__number__of-1, axiom, ( ~class_Int_Onumber(_u1328) | ~class_Rings_Odivision__ring(_u1328) | ( c_Rings_Oinverse__class_Oinverse(_u1328, c_Int_Onumber__class_Onumber__of(_u1328, _u1329)) = c_Rings_Oinverse__class_Odivide(_u1328, c_Groups_Oone__class_Oone(_u1328), c_Int_Onumber__class_Onumber__of(_u1328, _u1329))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) )).
% 15.12/15.29 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__ln ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__ln-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1346) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, _u1346, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1346)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__cmult__Id ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__cmult__Id-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1347) | c_Deriv_Oderiv(_u1347, c_Groups_Otimes__class_Otimes(_u1347, _u1348), _u1349, _u1348) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u1350) | ( c_Int_Onumber__class_Onumber__of(_u1350, c_Int_Osucc(_u1351)) = c_Groups_Oplus__class_Oplus(_u1350, c_Groups_Oone__class_Oone(_u1350), c_Int_Onumber__class_Onumber__of(_u1350, _u1351))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__real__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__real__def-1, axiom, ( ( _u1353 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1353) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_sgn__real__def-2, axiom, ( ( _u1354 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1354) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1354) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_sgn__real__def-3, axiom, ( ( _u1354 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1354) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1354) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__sgn__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__sgn__def-1, axiom, ( ( _u1356 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1356) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_real__sgn__def-2, axiom, ( ( _u1357 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1357) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1357) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_real__sgn__def-3, axiom, ( ( _u1357 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1357) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1357) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__ge__add__one__self__aux ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__ge__add__one__self__aux-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1358) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1358), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1358)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__less__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1359, _u1360) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1359), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1360)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_plus__numeral__code_I9_J-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1361), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1362)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1361, _u1362))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__number__of__int__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1365), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1367)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1365, _u1367) )).
% 15.12/15.29 cnf(fact_less__number__of__int__code-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1366, _u1368) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1366), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1368)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_times__numeral__code_I5_J-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1369)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1370)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1369), _u1370))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u1371) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1371, c_Groups_Ouminus__class_Ouminus(_u1371, c_Int_Onumber__class_Onumber__of(_u1371, _u1372))), _u1373) = hAPP(c_Groups_Otimes__class_Otimes(_u1371, c_Int_Onumber__class_Onumber__of(_u1371, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1372))), _u1373)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u1374) | ( c_Int_Onumber__class_Onumber__of(_u1374, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1375)) = c_Groups_Ouminus__class_Ouminus(_u1374, c_Int_Onumber__class_Onumber__of(_u1374, _u1375))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u1376) | ( c_Groups_Ouminus__class_Ouminus(_u1376, c_Int_Onumber__class_Onumber__of(_u1376, _u1377)) = c_Int_Onumber__class_Onumber__of(_u1376, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1377))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__eq__number__of__int__code-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1380), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1382)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1380, _u1382) )).
% 15.12/15.29 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1381, _u1383) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1381), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1383)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__minus-1, axiom, ( ~class_RealVector_Oreal__normed__vector(_u1384) | ( c_Groups_Osgn__class_Osgn(_u1384, c_Groups_Ouminus__class_Ouminus(_u1384, _u1385)) = c_Groups_Ouminus__class_Ouminus(_u1384, c_Groups_Osgn__class_Osgn(_u1384, _u1385))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__le__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__le__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1388), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1390)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1388, _u1390) )).
% 15.12/15.29 cnf(fact_exp__le__cancel__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1389, _u1391) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1389), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1391)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__minus-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1392) | ~class_SEQ_Obanach(_u1392) | ( hAPP(c_Transcendental_Oexp(_u1392), c_Groups_Ouminus__class_Ouminus(_u1392, _u1393)) = c_Rings_Oinverse__class_Oinverse(_u1392, hAPP(c_Transcendental_Oexp(_u1392), _u1393))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__inj__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__inj__iff-1, axiom, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1396) != hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1398)) | ( _u1396 = _u1398) )).
% 15.12/15.29 cnf(fact_exp__inj__iff-2, axiom, ( ( _u1397 != _u1399) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1397) = hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1399)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u1400) | ( c_Groups_Ouminus__class_Ouminus(_u1400, c_Groups_Ozero__class_Ozero(_u1400)) = c_Groups_Ozero__class_Ozero(_u1400)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1401) | ( c_Groups_Ozero__class_Ozero(_u1401) != c_Groups_Ouminus__class_Ouminus(_u1401, _u1402)) | ( c_Groups_Ozero__class_Ozero(_u1401) = _u1402) )).
% 15.12/15.29 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1401) | ( c_Groups_Ozero__class_Ozero(_u1401) != _u1402) | ( c_Groups_Ozero__class_Ozero(_u1401) = c_Groups_Ouminus__class_Ouminus(_u1401, _u1402)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1403) | ( _u1404 != c_Groups_Ouminus__class_Ouminus(_u1403, _u1404)) | ( _u1404 = c_Groups_Ozero__class_Ozero(_u1403)) )).
% 15.12/15.29 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1403) | ( _u1404 != c_Groups_Ozero__class_Ozero(_u1403)) | ( _u1404 = c_Groups_Ouminus__class_Ouminus(_u1403, _u1404)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1405) | ( c_Groups_Ouminus__class_Ouminus(_u1405, _u1406) != c_Groups_Ozero__class_Ozero(_u1405)) | ( _u1406 = c_Groups_Ozero__class_Ozero(_u1405)) )).
% 15.12/15.29 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1405) | ( _u1406 != c_Groups_Ozero__class_Ozero(_u1405)) | ( c_Groups_Ouminus__class_Ouminus(_u1405, _u1406) = c_Groups_Ozero__class_Ozero(_u1405)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1407) | ( c_Groups_Ouminus__class_Ouminus(_u1407, _u1408) != _u1408) | ( _u1408 = c_Groups_Ozero__class_Ozero(_u1407)) )).
% 15.12/15.29 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1407) | ( _u1408 != c_Groups_Ozero__class_Ozero(_u1407)) | ( c_Groups_Ouminus__class_Ouminus(_u1407, _u1408) = _u1408) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, c_Groups_Ouminus__class_Ouminus(_u1409, _u1411)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1411, c_Groups_Ouminus__class_Ouminus(_u1409, _u1410)) )).
% 15.12/15.29 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1411, c_Groups_Ouminus__class_Ouminus(_u1409, _u1410)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, c_Groups_Ouminus__class_Ouminus(_u1409, _u1411)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1414) | c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1414), _u1413) )).
% 15.12/15.29 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1414), _u1413) | c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1414) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1415) | ~c_Orderings_Oord__class_Oless__eq(_u1415, c_Groups_Ouminus__class_Ouminus(_u1415, _u1416), c_Groups_Ouminus__class_Ouminus(_u1415, _u1417)) | c_Orderings_Oord__class_Oless__eq(_u1415, _u1417, _u1416) )).
% 15.12/15.29 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1415) | ~c_Orderings_Oord__class_Oless__eq(_u1415, _u1417, _u1416) | c_Orderings_Oord__class_Oless__eq(_u1415, c_Groups_Ouminus__class_Ouminus(_u1415, _u1416), c_Groups_Ouminus__class_Ouminus(_u1415, _u1417)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1418) | ~c_Orderings_Oord__class_Oless__eq(_u1418, _u1419, _u1420) | c_Orderings_Oord__class_Oless__eq(_u1418, c_Groups_Ouminus__class_Ouminus(_u1418, _u1420), c_Groups_Ouminus__class_Ouminus(_u1418, _u1419)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1421) | ~c_Orderings_Oord__class_Oless__eq(_u1421, _u1422, _u1423) | c_Orderings_Oord__class_Oless__eq(_u1421, c_Groups_Ouminus__class_Ouminus(_u1421, _u1423), c_Groups_Ouminus__class_Ouminus(_u1421, _u1422)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1424) | ~c_Orderings_Oord__class_Oless__eq(_u1424, c_Groups_Ouminus__class_Ouminus(_u1424, _u1425), c_Groups_Ouminus__class_Ouminus(_u1424, _u1426)) | c_Orderings_Oord__class_Oless__eq(_u1424, _u1426, _u1425) )).
% 15.12/15.29 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u1424) | ~c_Orderings_Oord__class_Oless__eq(_u1424, _u1426, _u1425) | c_Orderings_Oord__class_Oless__eq(_u1424, c_Groups_Ouminus__class_Ouminus(_u1424, _u1425), c_Groups_Ouminus__class_Ouminus(_u1424, _u1426)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1427) | ~c_Orderings_Oord__class_Oless(_u1427, c_Groups_Ouminus__class_Ouminus(_u1427, _u1428), c_Groups_Ouminus__class_Ouminus(_u1427, _u1429)) | c_Orderings_Oord__class_Oless(_u1427, _u1429, _u1428) )).
% 15.12/15.29 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1427) | ~c_Orderings_Oord__class_Oless(_u1427, _u1429, _u1428) | c_Orderings_Oord__class_Oless(_u1427, c_Groups_Ouminus__class_Ouminus(_u1427, _u1428), c_Groups_Ouminus__class_Ouminus(_u1427, _u1429)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1430) | ~c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1432) | c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1432), _u1431) )).
% 15.12/15.29 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1430) | ~c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1432), _u1431) | c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1432) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1433) | ~c_Orderings_Oord__class_Oless(_u1433, _u1434, c_Groups_Ouminus__class_Ouminus(_u1433, _u1435)) | c_Orderings_Oord__class_Oless(_u1433, _u1435, c_Groups_Ouminus__class_Ouminus(_u1433, _u1434)) )).
% 15.12/15.29 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1433) | ~c_Orderings_Oord__class_Oless(_u1433, _u1435, c_Groups_Ouminus__class_Ouminus(_u1433, _u1434)) | c_Orderings_Oord__class_Oless(_u1433, _u1434, c_Groups_Ouminus__class_Ouminus(_u1433, _u1435)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) != hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 = _u1438) | ( _u1437 = c_Groups_Ouminus__class_Ouminus(_u1436, _u1438)) )).
% 15.12/15.29 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) = hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 != _u1438) )).
% 15.12/15.29 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) = hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 != c_Groups_Ouminus__class_Ouminus(_u1436, _u1438)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u1439) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1439, c_Groups_Ouminus__class_Ouminus(_u1439, _u1440)), c_Groups_Ouminus__class_Ouminus(_u1439, _u1441)) = hAPP(c_Groups_Otimes__class_Otimes(_u1439, _u1440), _u1441)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u1442) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1442, c_Groups_Ouminus__class_Ouminus(_u1442, _u1443)), _u1444) = hAPP(c_Groups_Otimes__class_Otimes(_u1442, _u1443), c_Groups_Ouminus__class_Ouminus(_u1442, _u1444))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u1445) | ( c_Groups_Ouminus__class_Ouminus(_u1445, hAPP(c_Groups_Otimes__class_Otimes(_u1445, _u1446), _u1447)) = hAPP(c_Groups_Otimes__class_Otimes(_u1445, c_Groups_Ouminus__class_Ouminus(_u1445, _u1446)), _u1447)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Ouminus__class_Ouminus(_u1448, hAPP(c_Groups_Otimes__class_Otimes(_u1448, _u1449), _u1450)) = hAPP(c_Groups_Otimes__class_Otimes(_u1448, _u1449), c_Groups_Ouminus__class_Ouminus(_u1448, _u1450))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__left_Ominus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__left_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1451) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1451, c_Groups_Ouminus__class_Ouminus(_u1451, _u1452)), _u1453) = c_Groups_Ouminus__class_Ouminus(_u1451, hAPP(c_Groups_Otimes__class_Otimes(_u1451, _u1452), _u1453))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Ominus__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Ominus__left-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1454) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1454, c_Groups_Ouminus__class_Ouminus(_u1454, _u1455)), _u1456) = c_Groups_Ouminus__class_Ouminus(_u1454, hAPP(c_Groups_Otimes__class_Otimes(_u1454, _u1455), _u1456))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__right_Ominus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__right_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1457) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1457, _u1458), c_Groups_Ouminus__class_Ouminus(_u1457, _u1459)) = c_Groups_Ouminus__class_Ouminus(_u1457, hAPP(c_Groups_Otimes__class_Otimes(_u1457, _u1458), _u1459))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult_Ominus__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult_Ominus__right-1, axiom, ( ~class_RealVector_Oreal__normed__algebra(_u1460) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1460, _u1461), c_Groups_Ouminus__class_Ouminus(_u1460, _u1462)) = c_Groups_Ouminus__class_Ouminus(_u1460, hAPP(c_Groups_Otimes__class_Otimes(_u1460, _u1461), _u1462))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1463) | ( c_Groups_Oplus__class_Oplus(_u1463, c_Groups_Ouminus__class_Ouminus(_u1463, _u1464), c_Groups_Oplus__class_Oplus(_u1463, _u1464, _u1465)) = _u1465) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u1466) | ( c_Groups_Oplus__class_Oplus(_u1466, _u1467, c_Groups_Oplus__class_Oplus(_u1466, c_Groups_Ouminus__class_Ouminus(_u1466, _u1467), _u1468)) = _u1468) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u1469) | ( c_Groups_Ouminus__class_Ouminus(_u1469, c_Groups_Oplus__class_Oplus(_u1469, _u1470, _u1471)) = c_Groups_Oplus__class_Oplus(_u1469, c_Groups_Ouminus__class_Ouminus(_u1469, _u1471), c_Groups_Ouminus__class_Ouminus(_u1469, _u1470))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u1472) | ( c_Groups_Ouminus__class_Ouminus(_u1472, c_Groups_Oplus__class_Oplus(_u1472, _u1473, _u1474)) = c_Groups_Oplus__class_Oplus(_u1472, c_Groups_Ouminus__class_Ouminus(_u1472, _u1473), c_Groups_Ouminus__class_Ouminus(_u1472, _u1474))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u1475) | ( c_Groups_Ouminus__class_Ouminus(_u1475, c_Rings_Oinverse__class_Odivide(_u1475, _u1476, _u1477)) = c_Rings_Oinverse__class_Odivide(_u1475, c_Groups_Ouminus__class_Ouminus(_u1475, _u1476), _u1477)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1478) | ( c_Groups_Ouminus__class_Ouminus(_u1478, c_Rings_Oinverse__class_Odivide(_u1478, _u1479, _u1480)) = c_Rings_Oinverse__class_Odivide(_u1478, _u1479, c_Groups_Ouminus__class_Ouminus(_u1478, _u1480))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1481) | ( c_Rings_Oinverse__class_Odivide(_u1481, c_Groups_Ouminus__class_Ouminus(_u1481, _u1482), c_Groups_Ouminus__class_Ouminus(_u1481, _u1483)) = c_Rings_Oinverse__class_Odivide(_u1481, _u1482, _u1483)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide_Ominus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide_Ominus-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1484) | ( c_Rings_Oinverse__class_Odivide(_u1484, c_Groups_Ouminus__class_Ouminus(_u1484, _u1485), _u1486) = c_Groups_Ouminus__class_Ouminus(_u1484, c_Rings_Oinverse__class_Odivide(_u1484, _u1485, _u1486))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__minus__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u1487) | ( c_Rings_Oinverse__class_Oinverse(_u1487, c_Groups_Ouminus__class_Ouminus(_u1487, _u1488)) = c_Groups_Ouminus__class_Ouminus(_u1487, c_Rings_Oinverse__class_Oinverse(_u1487, _u1488))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1489) | ( c_Groups_Ouminus__class_Ouminus(_u1489, c_Groups_Ouminus__class_Ouminus(_u1489, _u1490)) = _u1490) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u1491) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1492, _u1491), _u1493), _u1494) = c_Groups_Ouminus__class_Ouminus(_u1491, hAPP(_u1493, _u1494))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u1495) | ( c_Groups_Ouminus__class_Ouminus(_u1495, _u1496) != c_Groups_Ouminus__class_Ouminus(_u1495, _u1497)) | ( _u1496 = _u1497) )).
% 15.12/15.29 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u1495) | ( _u1496 != _u1497) | ( c_Groups_Ouminus__class_Ouminus(_u1495, _u1496) = c_Groups_Ouminus__class_Ouminus(_u1495, _u1497)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1498) | ( c_Groups_Ouminus__class_Ouminus(_u1498, c_Groups_Ouminus__class_Ouminus(_u1498, _u1499)) = _u1499) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1500) | ( _u1501 != c_Groups_Ouminus__class_Ouminus(_u1500, _u1502)) | ( _u1502 = c_Groups_Ouminus__class_Ouminus(_u1500, _u1501)) )).
% 15.12/15.29 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1500) | ( _u1502 != c_Groups_Ouminus__class_Ouminus(_u1500, _u1501)) | ( _u1501 = c_Groups_Ouminus__class_Ouminus(_u1500, _u1502)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1503) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1504) != _u1505) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1505) = _u1504) )).
% 15.12/15.29 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1503) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1505) != _u1504) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1504) = _u1505) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u1506) | ( c_Groups_Ouminus__class_Ouminus(_u1506, _u1507) != c_Groups_Ouminus__class_Ouminus(_u1506, _u1508)) | ( _u1507 = _u1508) )).
% 15.12/15.29 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u1506) | ( _u1507 != _u1508) | ( c_Groups_Ouminus__class_Ouminus(_u1506, _u1507) = c_Groups_Ouminus__class_Ouminus(_u1506, _u1508)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__less__cancel__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__less__cancel__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1511), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1513)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1511, _u1513) )).
% 15.12/15.29 cnf(fact_exp__less__cancel__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1512, _u1514) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1512), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1514)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__less__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__less__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1515), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1516)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1515, _u1516) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zle__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1517, _u1518) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1518, _u1517) | ( _u1517 = _u1518) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zle__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, _u1520) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1520, _u1521) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, _u1521) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zle__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1522, _u1523) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1523, _u1522) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zle__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1524, _u1524) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__1-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1525) = _u1525) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1526), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1526) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__assoc-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1527), _u1528)), _u1529) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1527), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1528), _u1529))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1530), _u1531) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1531), _u1530)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zless__linear-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1532, _u1533) | ( _u1532 = _u1533) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1533, _u1532) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__zless__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1534, _u1535) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1536) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1536), _u1534), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1536), _u1535)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1537) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1537 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29 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), _u1537) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1538 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29 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), _u1537) | ( _u1537 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1538 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_int__0__less__1-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1539), _u1539) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u1540) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1540, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1541) = _u1541) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1542, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1542) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zless__add1__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1545, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1547, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1545, _u1547) | ( _u1545 = _u1547) )).
% 15.12/15.29 cnf(fact_zless__add1__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1548, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, _u1548) )).
% 15.12/15.29 cnf(fact_zless__add1__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1548, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u1546 != _u1548) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1550), _u1550), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1550, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29 cnf(fact_odd__less__0-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1551, 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), _u1551), _u1551), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1552, _u1553) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1552, _u1554), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1553, _u1554)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1555, _u1556) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1556, _u1555)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1557, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1558, _u1559)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1558, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1557, _u1559))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1560, _u1561), _u1562) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1560, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1561, _u1562))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__zmult__distrib-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1563, _u1564)), _u1565) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1563), _u1565), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1564), _u1565))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1567, _u1568)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), _u1567), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), _u1568))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1570) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1570) )).
% 15.12/15.29 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), _u1571) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1571) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zle__add1__eq__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1574, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1576, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1574, _u1576) )).
% 15.12/15.29 cnf(fact_zle__add1__eq__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1575, _u1577) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1575, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1577, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add1__zle__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1580, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1582) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1580, _u1582) )).
% 15.12/15.29 cnf(fact_add1__zle__eq-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1581, _u1583) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1581, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1583) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1584) | 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), _u1584)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1585, _u1586) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1585, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1586) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__zless__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1587, _u1588) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1589, _u1590) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1587, _u1589), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1588, _u1590)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zless__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1593, _u1595) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1593, _u1595) )).
% 15.12/15.29 cnf(fact_zless__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1593, _u1595) | ( _u1593 != _u1595) )).
% 15.12/15.29 cnf(fact_zless__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1594, _u1596) | ( _u1594 = _u1596) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1594, _u1596) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__left__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1597, _u1598) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1599, _u1597), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1599, _u1598)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__exp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__exp-1, axiom, ( ( hAPP(c_Transcendental_Oln, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1600)) = _u1600) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__ln__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__ln__eq-1, axiom, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1601) != _u1602) | ( hAPP(c_Transcendental_Oln, _u1602) = _u1601) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__unique ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__unique-1, axiom, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1603) != _u1604) | ( hAPP(c_Transcendental_Oln, _u1604) = _u1603) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__not__eq__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__not__eq__zero-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1605) | ~class_SEQ_Obanach(_u1605) | ( hAPP(c_Transcendental_Oexp(_u1605), _u1606) != c_Groups_Ozero__class_Ozero(_u1605)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__exp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__exp-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1607) | ~class_SEQ_Obanach(_u1607) | c_Deriv_Oderiv(_u1607, c_Transcendental_Oexp(_u1607), _u1608, hAPP(c_Transcendental_Oexp(_u1607), _u1608)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1609) | ~c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ouminus__class_Ouminus(_u1609, _u1610), _u1610) | c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ozero__class_Ozero(_u1609), _u1610) )).
% 15.12/15.29 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1609) | ~c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ozero__class_Ozero(_u1609), _u1610) | c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ouminus__class_Ouminus(_u1609, _u1610), _u1610) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1611) | ~c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ouminus__class_Ouminus(_u1611, _u1612), c_Groups_Ozero__class_Ozero(_u1611)) | c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ozero__class_Ozero(_u1611), _u1612) )).
% 15.12/15.29 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1611) | ~c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ozero__class_Ozero(_u1611), _u1612) | c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ouminus__class_Ouminus(_u1611, _u1612), c_Groups_Ozero__class_Ozero(_u1611)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1613) | ~c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ouminus__class_Ouminus(_u1613, _u1614)) | c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ozero__class_Ozero(_u1613)) )).
% 15.12/15.29 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1613) | ~c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ozero__class_Ozero(_u1613)) | c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ouminus__class_Ouminus(_u1613, _u1614)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1615) | ~c_Orderings_Oord__class_Oless__eq(_u1615, c_Groups_Ozero__class_Ozero(_u1615), c_Groups_Ouminus__class_Ouminus(_u1615, _u1616)) | c_Orderings_Oord__class_Oless__eq(_u1615, _u1616, c_Groups_Ozero__class_Ozero(_u1615)) )).
% 15.12/15.29 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1615) | ~c_Orderings_Oord__class_Oless__eq(_u1615, _u1616, c_Groups_Ozero__class_Ozero(_u1615)) | c_Orderings_Oord__class_Oless__eq(_u1615, c_Groups_Ozero__class_Ozero(_u1615), c_Groups_Ouminus__class_Ouminus(_u1615, _u1616)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1617) | ~c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ouminus__class_Ouminus(_u1617, _u1618), _u1618) | c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ozero__class_Ozero(_u1617), _u1618) )).
% 15.12/15.29 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u1617) | ~c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ozero__class_Ozero(_u1617), _u1618) | c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ouminus__class_Ouminus(_u1617, _u1618), _u1618) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1619) | ~c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ouminus__class_Ouminus(_u1619, _u1620), c_Groups_Ozero__class_Ozero(_u1619)) | c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ozero__class_Ozero(_u1619), _u1620) )).
% 15.12/15.29 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1619) | ~c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ozero__class_Ozero(_u1619), _u1620) | c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ouminus__class_Ouminus(_u1619, _u1620), c_Groups_Ozero__class_Ozero(_u1619)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1621) | ~c_Orderings_Oord__class_Oless(_u1621, c_Groups_Ozero__class_Ozero(_u1621), c_Groups_Ouminus__class_Ouminus(_u1621, _u1622)) | c_Orderings_Oord__class_Oless(_u1621, _u1622, c_Groups_Ozero__class_Ozero(_u1621)) )).
% 15.12/15.29 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1621) | ~c_Orderings_Oord__class_Oless(_u1621, _u1622, c_Groups_Ozero__class_Ozero(_u1621)) | c_Orderings_Oord__class_Oless(_u1621, c_Groups_Ozero__class_Ozero(_u1621), c_Groups_Ouminus__class_Ouminus(_u1621, _u1622)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u1623) | ~c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ouminus__class_Ouminus(_u1623, _u1624)) | c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ozero__class_Ozero(_u1623)) )).
% 15.12/15.29 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u1623) | ~c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ozero__class_Ozero(_u1623)) | c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ouminus__class_Ouminus(_u1623, _u1624)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__eq__0__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u1625) | ( c_Groups_Oplus__class_Oplus(_u1625, _u1626, _u1627) != c_Groups_Ozero__class_Ozero(_u1625)) | ( _u1627 = c_Groups_Ouminus__class_Ouminus(_u1625, _u1626)) )).
% 15.12/15.29 cnf(fact_add__eq__0__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u1625) | ( _u1627 != c_Groups_Ouminus__class_Ouminus(_u1625, _u1626)) | ( c_Groups_Oplus__class_Oplus(_u1625, _u1626, _u1627) = c_Groups_Ozero__class_Ozero(_u1625)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1628) | ( c_Groups_Oplus__class_Oplus(_u1628, _u1629, c_Groups_Ouminus__class_Ouminus(_u1628, _u1629)) = c_Groups_Ozero__class_Ozero(_u1628)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u1630) | ( _u1631 != c_Groups_Ouminus__class_Ouminus(_u1630, _u1632)) | ( c_Groups_Oplus__class_Oplus(_u1630, _u1631, _u1632) = c_Groups_Ozero__class_Ozero(_u1630)) )).
% 15.12/15.29 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u1630) | ( c_Groups_Oplus__class_Oplus(_u1630, _u1631, _u1632) != c_Groups_Ozero__class_Ozero(_u1630)) | ( _u1631 = c_Groups_Ouminus__class_Ouminus(_u1630, _u1632)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u1633) | ( c_Groups_Oplus__class_Oplus(_u1633, c_Groups_Ouminus__class_Ouminus(_u1633, _u1634), _u1634) = c_Groups_Ozero__class_Ozero(_u1633)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u1635) | ( c_Groups_Oplus__class_Oplus(_u1635, c_Groups_Ouminus__class_Ouminus(_u1635, _u1636), _u1636) = c_Groups_Ozero__class_Ozero(_u1635)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u1637) | ( c_Groups_Oplus__class_Oplus(_u1637, _u1638, _u1639) != c_Groups_Ozero__class_Ozero(_u1637)) | ( c_Groups_Ouminus__class_Ouminus(_u1637, _u1638) = _u1639) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u1640) | ( c_Groups_Ouminus__class_Ouminus(_u1640, _u1641) = hAPP(c_Groups_Otimes__class_Otimes(_u1640, c_Groups_Ouminus__class_Ouminus(_u1640, c_Groups_Oone__class_Oone(_u1640))), _u1641)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) != c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 = c_Groups_Ouminus__class_Ouminus(_u1642, c_Groups_Oone__class_Oone(_u1642))) )).
% 15.12/15.29 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 != c_Groups_Oone__class_Oone(_u1642)) )).
% 15.12/15.29 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 != c_Groups_Ouminus__class_Ouminus(_u1642, c_Groups_Oone__class_Oone(_u1642))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u1644) | ( _u1645 = c_Groups_Ozero__class_Ozero(_u1644)) | ( c_Rings_Oinverse__class_Odivide(_u1644, c_Groups_Ouminus__class_Ouminus(_u1644, _u1646), c_Groups_Ouminus__class_Ouminus(_u1644, _u1645)) = c_Rings_Oinverse__class_Odivide(_u1644, _u1646, _u1645)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u1647) | ( _u1648 = c_Groups_Ozero__class_Ozero(_u1647)) | ( c_Groups_Ouminus__class_Ouminus(_u1647, c_Rings_Oinverse__class_Odivide(_u1647, _u1649, _u1648)) = c_Rings_Oinverse__class_Odivide(_u1647, _u1649, c_Groups_Ouminus__class_Ouminus(_u1647, _u1648))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nonzero__inverse__minus__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nonzero__inverse__minus__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u1650) | ( _u1651 = c_Groups_Ozero__class_Ozero(_u1650)) | ( c_Rings_Oinverse__class_Oinverse(_u1650, c_Groups_Ouminus__class_Ouminus(_u1650, _u1651)) = c_Groups_Ouminus__class_Ouminus(_u1650, c_Rings_Oinverse__class_Oinverse(_u1650, _u1651))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__minus__mult__self__le ( axiom ) converted to clauses:
% 15.12/15.29 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(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1652), _u1652)), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1653), _u1653)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__add__eq__0__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1656, _u1658) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1658 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1656)) )).
% 15.12/15.29 cnf(fact_real__add__eq__0__iff-2, axiom, ( ( _u1659 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1657)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1657, _u1659) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__minus__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_real__add__minus__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1662, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1664)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1662 = _u1664) )).
% 15.12/15.29 cnf(fact_real__add__minus__iff-2, axiom, ( ( _u1663 != _u1665) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1663, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1665)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__ge__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1666)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__exp__le__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__exp__le__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1667), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__gt__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__gt__zero-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1668)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__exp__less__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__exp__less__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1669), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__eq__one__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__eq__one__iff-1, axiom, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1671) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( _u1671 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_exp__eq__one__iff-2, axiom, ( ( _u1672 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1672) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__zero-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1673) | ~class_SEQ_Obanach(_u1673) | ( hAPP(c_Transcendental_Oexp(_u1673), c_Groups_Ozero__class_Ozero(_u1673)) = c_Groups_Oone__class_Oone(_u1673)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__add ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__add-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1674) | ~class_SEQ_Obanach(_u1674) | ( hAPP(c_Transcendental_Oexp(_u1674), c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676)) = hAPP(c_Groups_Otimes__class_Otimes(_u1674, hAPP(c_Transcendental_Oexp(_u1674), _u1675)), hAPP(c_Transcendental_Oexp(_u1674), _u1676))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__exp__exp ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__exp__exp-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1677) | ~class_SEQ_Obanach(_u1677) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1677, hAPP(c_Transcendental_Oexp(_u1677), _u1678)), hAPP(c_Transcendental_Oexp(_u1677), _u1679)) = hAPP(c_Transcendental_Oexp(_u1677), c_Groups_Oplus__class_Oplus(_u1677, _u1678, _u1679))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 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, _u1682, _u1684), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1684, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1682)) )).
% 15.12/15.29 cnf(fact_real__add__le__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1685, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1683)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1683, _u1685), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__0__le__add__iff ( axiom ) converted to clauses:
% 15.12/15.29 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, _u1688, _u1690)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1688), _u1690) )).
% 15.12/15.29 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, _u1689), _u1691) | 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, _u1689, _u1691)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__add__less__0__iff ( axiom ) converted to clauses:
% 15.12/15.29 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, _u1694, _u1696), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1696, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1694)) )).
% 15.12/15.29 cnf(fact_real__add__less__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1697, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1695)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1695, _u1697), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_real__0__less__add__iff ( axiom ) converted to clauses:
% 15.12/15.29 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, _u1700, _u1702)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1700), _u1702) )).
% 15.12/15.29 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, _u1701), _u1703) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1701, _u1703)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__le__one__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__le__one__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1705), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1705, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_exp__le__one__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1706, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1706), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__le__exp__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__le__exp__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1708)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1708) )).
% 15.12/15.29 cnf(fact_one__le__exp__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1709) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1709)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__gt__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__gt__one-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1710) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1710)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__less__one__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__less__one__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1712), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1712, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.29 cnf(fact_exp__less__one__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1713, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1713), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__less__exp__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__less__exp__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1715)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1715) )).
% 15.12/15.29 cnf(fact_one__less__exp__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1716) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1716)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__ln ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__ln-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1717) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1717)) = _u1717) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_exp__ln__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_exp__ln__iff-1, axiom, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1719)) != _u1719) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1719) )).
% 15.12/15.29 cnf(fact_exp__ln__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1720) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1720)) = _u1720) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__unique ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__unique-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1721) | ~c_Deriv_Oderiv(_u1721, _u1722, _u1723, _u1724) | ~c_Deriv_Oderiv(_u1721, _u1722, _u1723, _u1725) | ( _u1724 = _u1725) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__cong ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__cong-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1726) | ~c_Deriv_Oderiv(_u1726, _u1727, _u1728, _u1729) | ( _u1729 != _u1730) | c_Deriv_Oderiv(_u1726, _u1727, _u1728, _u1730) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Deriv_Olemma__DERIV__subst ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Deriv_Olemma__DERIV__subst-1, axiom, ( ~class_RealVector_Oreal__normed__field(_u1731) | ~c_Deriv_Oderiv(_u1731, _u1732, _u1733, _u1734) | ( _u1734 != _u1735) | c_Deriv_Oderiv(_u1731, _u1732, _u1733, _u1735) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 != c_Groups_Ozero__class_Ozero(_u1736)) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Ozero__class_Ozero(_u1736)) )).
% 15.12/15.29 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 = c_Groups_Ozero__class_Ozero(_u1736)) | ~c_Orderings_Oord__class_Oless(_u1736, c_Groups_Ozero__class_Ozero(_u1736), _u1737) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Oone__class_Oone(_u1736)) )).
% 15.12/15.29 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 = c_Groups_Ozero__class_Ozero(_u1736)) | c_Orderings_Oord__class_Oless(_u1736, c_Groups_Ozero__class_Ozero(_u1736), _u1737) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Ouminus__class_Ouminus(_u1736, c_Groups_Oone__class_Oone(_u1736))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u1738) | ~c_Orderings_Oord__class_Oless(_u1738, _u1739, c_Groups_Ozero__class_Ozero(_u1738)) | ( c_Groups_Osgn__class_Osgn(_u1738, _u1739) = c_Groups_Ouminus__class_Ouminus(_u1738, c_Groups_Oone__class_Oone(_u1738))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u1740) | ( c_Groups_Osgn__class_Osgn(_u1740, _u1741) != c_Groups_Ouminus__class_Ouminus(_u1740, c_Groups_Oone__class_Oone(_u1740))) | c_Orderings_Oord__class_Oless(_u1740, _u1741, c_Groups_Ozero__class_Ozero(_u1740)) )).
% 15.12/15.29 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u1740) | ~c_Orderings_Oord__class_Oless(_u1740, _u1741, c_Groups_Ozero__class_Ozero(_u1740)) | ( c_Groups_Osgn__class_Osgn(_u1740, _u1741) = c_Groups_Ouminus__class_Ouminus(_u1740, c_Groups_Oone__class_Oone(_u1740))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_ln__inverse ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_ln__inverse-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1742) | ( hAPP(c_Transcendental_Oln, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1742)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1742))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zdiv__mono2__neg__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1743), _u1744), _u1745) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1746), _u1747), _u1748)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1746), _u1747), _u1748), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1745, _u1743) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1748) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1746) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1746, _u1743) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1747, _u1744) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 15.12/15.29 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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1749), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1749), _u1752), _u1753)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1753, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1749, _u1753) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1749, _u1751) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1752, _u1750) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zdiv__mono2__lemma-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1754), _u1755), _u1756) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1757), _u1758), _u1759)) | ~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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1757), _u1758), _u1759)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1759, _u1757) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1756) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1757) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1757, _u1754) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1755, _u1758) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 15.12/15.29 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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1760), _u1761), _u1762), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1760), _u1763), _u1764)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1762) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1762, _u1760) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1764, _u1760) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1761, _u1763) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__numeral__code_I5_J-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1765)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1765))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zminus__0-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zminus__zminus-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1766)) = _u1766) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zmult__zminus-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1767)), _u1768) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1767), _u1768))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zsgn__def-1, axiom, ( ( _u1770 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1770) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29 cnf(fact_zsgn__def-2, axiom, ( ( _u1771 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1771) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1771) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29 cnf(fact_zsgn__def-3, axiom, ( ( _u1771 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1771) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1771) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zadd__zminus__inverse2-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1772), _u1772) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zminus__zadd__distrib-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1773, _u1774)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1773), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1774))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__is__id-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1775) = _u1775) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_self__quotient__aux2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1776) | ( _u1776 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1777, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1776), _u1778))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1777) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1778, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_self__quotient__aux1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1779) | ( _u1779 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1780, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1779), _u1781))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1780, _u1779) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1781) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 15.12/15.29 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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1782), _u1783), _u1784)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1784, _u1782) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1782) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1783) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_q__neg__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1785), _u1786), _u1787), 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), _u1787) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1785) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1788) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1789) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1788), _u1789)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 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), _u1790) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1791) | 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, _u1790, _u1791)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u1792) | ( c_Int_Onumber__class_Onumber__of(_u1792, _u1793) != c_Int_Onumber__class_Onumber__of(_u1792, _u1794)) | c_Int_Oiszero(_u1792, c_Int_Onumber__class_Onumber__of(_u1792, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1793, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1794)))) )).
% 15.12/15.29 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u1792) | ~c_Int_Oiszero(_u1792, c_Int_Onumber__class_Onumber__of(_u1792, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1793, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1794)))) | ( c_Int_Onumber__class_Onumber__of(_u1792, _u1793) = c_Int_Onumber__class_Onumber__of(_u1792, _u1794)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__pos__inc__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__pos__inc__right-1, axiom, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1797, _u1798, _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1799) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem7(_u1799, _u1798, _u1797)) )).
% 15.12/15.29 cnf(fact_DERIV__pos__inc__right-2, axiom, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1797, _u1798, _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1795) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1795, skolem7(_u1799, _u1798, _u1797)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(_u1797, _u1798), hAPP(_u1797, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1798, _u1795))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_DERIV__neg__dec__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_DERIV__neg__dec__right-1, axiom, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1802, _u1803, _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem8(_u1804, _u1803, _u1802)) )).
% 15.12/15.29 cnf(fact_DERIV__neg__dec__right-2, axiom, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1802, _u1803, _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1800) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1800, skolem8(_u1804, _u1803, _u1802)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(_u1802, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1803, _u1800)), hAPP(_u1802, _u1803)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u1805) | ~c_Int_Oiszero(_u1805, _u1806) | ( _u1806 = c_Groups_Ozero__class_Ozero(_u1805)) )).
% 15.12/15.29 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u1805) | ( _u1806 != c_Groups_Ozero__class_Ozero(_u1805)) | c_Int_Oiszero(_u1805, _u1806) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u1807) | c_Int_Oiszero(_u1807, c_Groups_Ozero__class_Ozero(_u1807)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u1808) | ~c_Int_Oiszero(_u1808, c_Groups_Oone__class_Oone(_u1808)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u1809) | ( c_Int_Onumber__class_Onumber__of(_u1809, _u1810) != c_Groups_Ozero__class_Ozero(_u1809)) | c_Int_Oiszero(_u1809, c_Int_Onumber__class_Onumber__of(_u1809, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1810, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls)))) )).
% 15.12/15.29 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u1809) | ~c_Int_Oiszero(_u1809, c_Int_Onumber__class_Onumber__of(_u1809, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1810, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls)))) | ( c_Int_Onumber__class_Onumber__of(_u1809, _u1810) = c_Groups_Ozero__class_Ozero(_u1809)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u1811) | ( c_Groups_Ozero__class_Ozero(_u1811) != c_Int_Onumber__class_Onumber__of(_u1811, _u1812)) | c_Int_Oiszero(_u1811, c_Int_Onumber__class_Onumber__of(_u1811, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1812)))) )).
% 15.12/15.29 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u1811) | ~c_Int_Oiszero(_u1811, c_Int_Onumber__class_Onumber__of(_u1811, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1812)))) | ( c_Groups_Ozero__class_Ozero(_u1811) = c_Int_Onumber__class_Onumber__of(_u1811, _u1812)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u1813) | ( c_Int_Onumber__class_Onumber__of(_u1813, c_Int_Opred(_u1814)) = c_Groups_Oplus__class_Oplus(_u1813, c_Groups_Ouminus__class_Ouminus(_u1813, c_Groups_Oone__class_Oone(_u1813)), c_Int_Onumber__class_Onumber__of(_u1813, _u1814))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1817), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1819)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1817, _u1819) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1819) )).
% 15.12/15.29 cnf(fact_less__nat__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1817), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1819)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1817, _u1819) )).
% 15.12/15.29 cnf(fact_less__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1818), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1820)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1818, _u1820) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1820) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__0__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1822)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1822) )).
% 15.12/15.29 cnf(fact_less__0__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1823) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1823)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__0__number__of-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1825)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1825, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_eq__0__number__of-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1826, c_Int_OPls) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1826)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__number__of__0-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1828) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1828, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_eq__number__of__0-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1829, c_Int_OPls) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1829) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1832), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1834)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1832, _u1834) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1832, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_le__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1833), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1835)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1833, _u1835) )).
% 15.12/15.29 cnf(fact_le__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1833), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1835)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1833, c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__Pls-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls) = c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_semiring__norm_I113_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__number__of__Pls-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__Pls__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1836, c_Int_OPls) = _u1836) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__Pls-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, _u1837) = _u1837) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OPls), _u1838) = c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I19_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u1839)) = _u1839) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u1840) | ( c_Groups_Ozero__class_Ozero(_u1840) = c_Int_Onumber__class_Onumber__of(_u1840, c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u1841) | ( c_Int_Onumber__class_Onumber__of(_u1841, c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u1842) | ( c_Groups_Oplus__class_Oplus(_u1842, _u1843, c_Int_Onumber__class_Onumber__of(_u1842, c_Int_OPls)) = _u1843) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u1844) | ( c_Groups_Oplus__class_Oplus(_u1844, c_Int_Onumber__class_Onumber__of(_u1844, c_Int_OPls), _u1845) = _u1845) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_bin__less__0__simps_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_zero__is__num__zero-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1848, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1848), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1850)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1850)) )).
% 15.12/15.29 cnf(fact_add__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1849, c_Int_OPls) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1851, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1851)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849)) )).
% 15.12/15.29 cnf(fact_add__nat__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1849, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1851, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1851)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1849, _u1851))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1855, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1855)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1857)), _u1859)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29 cnf(fact_nat__number__of__mult__left-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1856, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1856)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1858)), _u1860)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1856), _u1858))), _u1860)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__nat__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1863, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1863)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1865)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29 cnf(fact_mult__nat__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1864, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1864)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1866)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1864), _u1866))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u1867) | c_Int_Oiszero(_u1867, c_Int_Onumber__class_Onumber__of(_u1867, c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__1__add__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1869, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1869)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.29 cnf(fact_nat__1__add__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1870, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1870)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_Osucc(_u1870))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__number__of__add__1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1872, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1872), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.29 cnf(fact_nat__number__of__add__1-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1873, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1873), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_Osucc(_u1873))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__iff__pred__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1876, _u1878) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Opred(_u1876), _u1878) )).
% 15.12/15.29 cnf(fact_le__iff__pred__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Opred(_u1877), _u1879) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1877, _u1879) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u1880) | ~class_Int_Onumber__ring(_u1880) | ( c_Rings_Oinverse__class_Odivide(_u1880, _u1881, c_Int_Onumber__class_Onumber__of(_u1880, c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u1880)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u1882) | ~class_Rings_Olinordered__idom(_u1882) | ~c_Orderings_Oord__class_Oless__eq(_u1882, c_Groups_Ozero__class_Ozero(_u1882), c_Int_Onumber__class_Onumber__of(_u1882, _u1883)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1883) )).
% 15.12/15.29 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u1882) | ~class_Rings_Olinordered__idom(_u1882) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1883) | c_Orderings_Oord__class_Oless__eq(_u1882, c_Groups_Ozero__class_Ozero(_u1882), c_Int_Onumber__class_Onumber__of(_u1882, _u1883)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u1884) | ~class_Rings_Olinordered__idom(_u1884) | ~c_Orderings_Oord__class_Oless__eq(_u1884, c_Int_Onumber__class_Onumber__of(_u1884, _u1885), c_Groups_Ozero__class_Ozero(_u1884)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1885, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u1884) | ~class_Rings_Olinordered__idom(_u1884) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1885, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(_u1884, c_Int_Onumber__class_Onumber__of(_u1884, _u1885), c_Groups_Ozero__class_Ozero(_u1884)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u1886) | ~class_Rings_Olinordered__idom(_u1886) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), c_Int_Onumber__class_Onumber__of(_u1886, _u1887)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1887) )).
% 15.12/15.29 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u1886) | ~class_Rings_Olinordered__idom(_u1886) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1887) | c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), c_Int_Onumber__class_Onumber__of(_u1886, _u1887)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u1888) | ~class_Rings_Olinordered__idom(_u1888) | ~c_Orderings_Oord__class_Oless(_u1888, c_Int_Onumber__class_Onumber__of(_u1888, _u1889), c_Groups_Ozero__class_Ozero(_u1888)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1889, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u1888) | ~class_Rings_Olinordered__idom(_u1888) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1889, c_Int_OPls) | c_Orderings_Oord__class_Oless(_u1888, c_Int_Onumber__class_Onumber__of(_u1888, _u1889), c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u1890) | ( c_Int_Onumber__class_Onumber__of(_u1890, _u1891) != c_Groups_Oone__class_Oone(_u1890)) | c_Int_Oiszero(_u1890, c_Int_Onumber__class_Onumber__of(_u1890, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1891, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.29 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u1890) | ~c_Int_Oiszero(_u1890, c_Int_Onumber__class_Onumber__of(_u1890, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1891, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))))) | ( c_Int_Onumber__class_Onumber__of(_u1890, _u1891) = c_Groups_Oone__class_Oone(_u1890)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u1892) | ( c_Groups_Oone__class_Oone(_u1892) != c_Int_Onumber__class_Onumber__of(_u1892, _u1893)) | c_Int_Oiszero(_u1892, c_Int_Onumber__class_Onumber__of(_u1892, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1893)))) )).
% 15.12/15.29 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u1892) | ~c_Int_Oiszero(_u1892, c_Int_Onumber__class_Onumber__of(_u1892, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1893)))) | ( c_Groups_Oone__class_Oone(_u1892) = c_Int_Onumber__class_Onumber__of(_u1892, _u1893)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Numeral1__eq1__nat-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__numeral__1__eq__1-1, axiom, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u1894)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u1895) != c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__eq__int__code_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1898), c_Int_OBit1(_u1900)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1898, _u1900) )).
% 15.12/15.29 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1899, _u1901) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1899), c_Int_OBit1(_u1901)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I34_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1904), c_Int_OBit1(_u1906)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1904, _u1906) )).
% 15.12/15.29 cnf(fact_rel__simps_I34_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1905, _u1907) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1905), c_Int_OBit1(_u1907)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I17_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1910), c_Int_OBit1(_u1912)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1910, _u1912) )).
% 15.12/15.29 cnf(fact_rel__simps_I17_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1911, _u1913) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1911), c_Int_OBit1(_u1913)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__int__code_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1916), c_Int_OBit1(_u1918)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1916, _u1918) )).
% 15.12/15.29 cnf(fact_less__int__code_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1917, _u1919) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1917), c_Int_OBit1(_u1919)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u1922) != c_Int_OBit1(_u1924)) | ( _u1922 = _u1924) )).
% 15.12/15.29 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u1923 != _u1925) | ( c_Int_OBit1(_u1923) = c_Int_OBit1(_u1925)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I22_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1927)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1927) )).
% 15.12/15.29 cnf(fact_rel__simps_I22_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1928) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1928)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1930), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1930, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1931, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1931), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I12_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1933), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1933, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_rel__simps_I12_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1934, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1934), c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u1935) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1935), _u1935)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_minus__Bit1-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(_u1936)) = c_Int_OBit1(c_Int_Opred(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1936)))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u1937) | ~class_Int_Oring__char__0(_u1937) | ~c_Int_Oiszero(_u1937, c_Int_Onumber__class_Onumber__of(_u1937, c_Int_OBit1(_u1938))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u1939) | ( c_Int_Onumber__class_Onumber__of(_u1939, c_Int_OBit1(_u1940)) = c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Oone__class_Oone(_u1939), c_Int_Onumber__class_Onumber__of(_u1939, _u1940)), c_Int_Onumber__class_Onumber__of(_u1939, _u1940))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u1941) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1941, c_Int_Onumber__class_Onumber__of(_u1941, c_Int_OBit1(c_Int_OPls))), _u1942) = _u1942) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u1943) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1943, _u1944), c_Int_Onumber__class_Onumber__of(_u1943, c_Int_OBit1(c_Int_OPls))) = _u1944) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u1945) | ( c_Int_Onumber__class_Onumber__of(_u1945, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u1945)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u1946) | ( c_Groups_Oone__class_Oone(_u1946) = c_Int_Onumber__class_Onumber__of(_u1946, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u1947) | ~class_Int_Onumber__ring(_u1947) | ( c_Rings_Oinverse__class_Odivide(_u1947, _u1948, c_Int_Onumber__class_Onumber__of(_u1947, c_Int_OBit1(c_Int_OPls))) = _u1948) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u1949) | ~class_Int_Onumber__ring(_u1949) | ( c_Rings_Oinverse__class_Odivide(_u1949, _u1950, c_Int_Onumber__class_Onumber__of(_u1949, c_Int_OBit1(c_Int_OPls))) = _u1950) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_inverse__numeral__1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_inverse__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u1951) | ~class_Int_Onumber__ring(_u1951) | ( c_Rings_Oinverse__class_Oinverse(_u1951, c_Int_Onumber__class_Onumber__of(_u1951, c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(_u1951, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I29_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1953), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1953, c_Int_OPls) )).
% 15.12/15.29 cnf(fact_rel__simps_I29_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1954, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1954), c_Int_OPls) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_rel__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1956)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1956) )).
% 15.12/15.29 cnf(fact_rel__simps_I5_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1957) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1957)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_one__is__num__one-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u1958) | ~c_Int_Oiszero(_u1958, c_Int_Onumber__class_Onumber__of(_u1958, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u1959) | ~class_Rings_Olinordered__idom(_u1959) | ~c_Orderings_Oord__class_Oless__eq(_u1959, c_Groups_Oone__class_Oone(_u1959), c_Int_Onumber__class_Onumber__of(_u1959, _u1960)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1960) )).
% 15.12/15.29 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u1959) | ~class_Rings_Olinordered__idom(_u1959) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1960) | c_Orderings_Oord__class_Oless__eq(_u1959, c_Groups_Oone__class_Oone(_u1959), c_Int_Onumber__class_Onumber__of(_u1959, _u1960)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u1961) | ~class_Rings_Olinordered__idom(_u1961) | ~c_Orderings_Oord__class_Oless__eq(_u1961, c_Int_Onumber__class_Onumber__of(_u1961, _u1962), c_Groups_Oone__class_Oone(_u1961)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1962, c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.29 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u1961) | ~class_Rings_Olinordered__idom(_u1961) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1962, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless__eq(_u1961, c_Int_Onumber__class_Onumber__of(_u1961, _u1962), c_Groups_Oone__class_Oone(_u1961)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u1963) | ~class_Rings_Olinordered__idom(_u1963) | ~c_Orderings_Oord__class_Oless(_u1963, c_Groups_Oone__class_Oone(_u1963), c_Int_Onumber__class_Onumber__of(_u1963, _u1964)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1964) )).
% 15.12/15.29 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u1963) | ~class_Rings_Olinordered__idom(_u1963) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1964) | c_Orderings_Oord__class_Oless(_u1963, c_Groups_Oone__class_Oone(_u1963), c_Int_Onumber__class_Onumber__of(_u1963, _u1964)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u1965) | ~class_Rings_Olinordered__idom(_u1965) | ~c_Orderings_Oord__class_Oless(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Oone__class_Oone(_u1965)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1966, c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.29 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u1965) | ~class_Rings_Olinordered__idom(_u1965) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1966, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Oone__class_Oone(_u1965)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u1967) | ( c_Groups_Oplus__class_Oplus(_u1967, c_Int_Onumber__class_Onumber__of(_u1967, _u1968), c_Groups_Oone__class_Oone(_u1967)) = c_Int_Onumber__class_Onumber__of(_u1967, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1968, c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u1969) | ( c_Groups_Oplus__class_Oplus(_u1969, c_Groups_Oone__class_Oone(_u1969), c_Int_Onumber__class_Onumber__of(_u1969, _u1970)) = c_Int_Onumber__class_Onumber__of(_u1969, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1970))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le0 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le0-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1971) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__zeroE-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1976), _u1978), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1976), _u1980)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1976) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1978, _u1980) )).
% 15.12/15.29 cnf(fact_mult__le__cancel1-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1979), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1981)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1977) )).
% 15.12/15.29 cnf(fact_mult__le__cancel1-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1979), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1981)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1979, _u1981) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__not__refl-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1982, _u1982) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__neq__iff-1, axiom, ( ( _u1985 = _u1987) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1985, _u1987) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1987, _u1985) )).
% 15.12/15.29 cnf(fact_nat__neq__iff-2, axiom, ( ( _u1986 != _u1988) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1986, _u1988) )).
% 15.12/15.29 cnf(fact_nat__neq__iff-3, axiom, ( ( _u1986 != _u1988) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1988, _u1986) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u1989 = _u1990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1989, _u1990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1990, _u1989) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__irrefl__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1991, _u1991) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__not__refl2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1992, _u1993) | ( _u1993 != _u1992) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_less__not__refl3-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1994, _u1995) | ( _u1994 != _u1995) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__less__cases-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1996, _u1997) | ( _u1996 = _u1997) | hBOOL(hAPP(hAPP(_u1998, _u1997), _u1996)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1997, _u1996) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__add__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1999, _u2000) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2000, _u1999)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__add__left__commute-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2001, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2002, _u2003)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2002, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2001, _u2003))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__add__assoc-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2004, _u2005), _u2006) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2004, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2005, _u2006))) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u2012 = _u2014) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2010, _u2012) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2010, _u2014)) )).
% 15.12/15.29 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u2013 != _u2015) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2011, _u2013) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2011, _u2015)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__add__right__cancel-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2019, _u2021) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2023, _u2021)) | ( _u2019 = _u2023) )).
% 15.12/15.29 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u2020 != _u2024) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2020, _u2022) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2024, _u2022)) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__antisym-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2025, _u2026) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2026, _u2025) | ( _u2025 = _u2026) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__trans-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2027, _u2028) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2028, _u2029) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2027, _u2029) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_eq__imp__le-1, axiom, ( ( _u2030 != _u2031) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2030, _u2031) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__le__linear-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2032, _u2033) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2033, _u2032) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_le__refl-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2034, _u2034) )).
% 15.12/15.29
% 15.12/15.29 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 15.12/15.29 cnf(fact_nat__mult__assoc-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2035), _u2036)), _u2037) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2035), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2036), _u2037))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2038), _u2039) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2039), _u2038)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__less0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2040, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_neq0__conv-1, axiom, ( ( _u2042 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2042) )).
% 15.12/15.30 cnf(fact_neq0__conv-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2043) | ( _u2043 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__nat__zero__code-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2044, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_gr__implies__not0-1, axiom, ( ( _u2046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2045, _u2046) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_gr0I-1, axiom, ( ( _u2047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2047) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u2049 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2048, _u2049) != _u2048) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__is__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, _u2054) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2052 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_add__is__0-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, _u2054) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_add__is__0-3, axiom, ( ( _u2053 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2053, _u2055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2056, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2056) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_plus__nat_Oadd__0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2057) = _u2057) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__eq__nat_Osimps_I1_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2058) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__0__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2060, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2060 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_le__0__eq-2, axiom, ( ( _u2061 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2065), _u2067) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2069), _u2067)) | ( _u2065 = _u2069) | ( _u2067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2066), _u2068) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2070), _u2068)) | ( _u2066 != _u2070) )).
% 15.12/15.30 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2066), _u2068) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2070), _u2068)) | ( _u2068 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2074), _u2076) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2074), _u2078)) | ( _u2076 = _u2078) | ( _u2074 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2077) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2079)) | ( _u2077 != _u2079) )).
% 15.12/15.30 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2077) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2079)) | ( _u2075 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2082), _u2084) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2084 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2083), _u2085) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2083 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2083), _u2085) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2085 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2086), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__0-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2087) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__lessD1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2088, _u2089), _u2090) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2088, _u2090) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__add__eq__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2091, _u2092) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2093, _u2092) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2091, _u2094)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2093, _u2094) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2095, _u2096) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2097, _u2098) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2095, _u2097), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2096, _u2098)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2099, _u2100) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2099, _u2101), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2100, _u2101)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__less__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2102, _u2103) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2102, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2104, _u2103)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__less__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2105, _u2106) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2105, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2106, _u2107)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__cancel__less-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2113, _u2115) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2111, _u2113), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2111, _u2115)) )).
% 15.12/15.30 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2114, _u2116) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2112, _u2114), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2112, _u2116)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__add__less2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2117, _u2118), _u2118) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__add__less1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2119, _u2120), _u2119) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__or__eq__imp__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2121, _u2122) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2121, _u2122) )).
% 15.12/15.30 cnf(fact_less__or__eq__imp__le-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2121, _u2122) | ( _u2121 != _u2122) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__neq__implies__less-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2123, _u2124) | ( _u2123 = _u2124) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2124) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__imp__le__nat-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2125, _u2126) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2125, _u2126) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2129, _u2131) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2129, _u2131) | ( _u2129 = _u2131) )).
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2130, _u2132) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2130, _u2132) )).
% 15.12/15.30 cnf(fact_le__eq__less__or__eq-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2130, _u2132) | ( _u2130 != _u2132) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__less__le-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2135, _u2137) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2135, _u2137) )).
% 15.12/15.30 cnf(fact_nat__less__le-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2135, _u2137) | ( _u2135 != _u2137) )).
% 15.12/15.30 cnf(fact_nat__less__le-3, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2136, _u2138) | ( _u2136 = _u2138) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2138) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2139, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2140, _u2139)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__add1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2141, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2141, _u2142)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__iff__add-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2147, _u2149) | ( _u2149 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2147, skolem9(_u2149, _u2147))) )).
% 15.12/15.30 cnf(fact_le__iff__add-2, axiom, ( ( _u2150 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2148, _u2144)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2148, _u2150) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__add__left__cancel__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2156, _u2158) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2154, _u2156), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2154, _u2158)) )).
% 15.12/15.30 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2157, _u2159) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2155, _u2157), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2155, _u2159)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__le__add1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2160, _u2161) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2160, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2161, _u2162)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_trans__le__add2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2163, _u2164) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2163, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2165, _u2164)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2166, _u2167) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2166, _u2168), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2167, _u2168)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2169, _u2170) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2171, _u2172) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2169, _u2171), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2170, _u2172)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leD2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2174, _u2175) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2173, _u2174), _u2175) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leD1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2176, _u2177), _u2178) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2176, _u2178) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__leE-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2179, _u2180), _u2181) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2179, _u2181) )).
% 15.12/15.30 cnf(fact_add__leE-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2179, _u2180), _u2181) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2180, _u2181) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__mult__distrib-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2182, _u2183)), _u2184) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2182), _u2184), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2183), _u2184))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2186, _u2187)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), _u2186), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), _u2187))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__square ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__square-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2188, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2188), _u2188)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__cube-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2189, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2189), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2189), _u2189))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2190, _u2191) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2190), _u2192), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2191), _u2192)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2193, _u2194) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2195), _u2193), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2195), _u2194)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2196, _u2197) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2198, _u2199) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2196), _u2198), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2197), _u2199)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2202), _u2204) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2202 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2202), _u2204) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2204 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u2203 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2205 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2203), _u2205) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2206), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2206) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__1__eq__mult__iff-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209), _u2211)) | ( _u2209 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__1__eq__mult__iff-2, axiom, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209), _u2211)) | ( _u2211 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u2210 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2212 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210), _u2212)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__1-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2213) = _u2213) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__gr__0-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2216, _u2218)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2216) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2218) )).
% 15.12/15.30 cnf(fact_add__gr__0-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2217, _u2219)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2217) )).
% 15.12/15.30 cnf(fact_add__gr__0-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2217, _u2219)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2219) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__0__less__mult__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2222), _u2224)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2222) )).
% 15.12/15.30 cnf(fact_nat__0__less__mult__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2222), _u2224)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2224) )).
% 15.12/15.30 cnf(fact_nat__0__less__mult__iff-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2223) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2225) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2223), _u2225)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2231), 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) )).
% 15.12/15.30 cnf(fact_mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2231), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2233)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2231, _u2233) )).
% 15.12/15.30 cnf(fact_mult__less__cancel1-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2230) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2232, _u2234) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2230), _u2232), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2230), _u2234)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2238), _u2240), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2242), _u2240)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2240) )).
% 15.12/15.30 cnf(fact_mult__less__cancel2-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2238), _u2240), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2242), _u2240)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2238, _u2242) )).
% 15.12/15.30 cnf(fact_mult__less__cancel2-3, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2241) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2239, _u2243) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2239), _u2241), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2243), _u2241)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__mono1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2244, _u2245) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2246) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2244), _u2246), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2245), _u2246)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__less__mono2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2247, _u2248) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2249) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2249), _u2247), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2249), _u2248)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u2250 != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2250), _u2251)) | ( _u2251 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__le__cancel2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2255), _u2257), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2259), _u2257)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2257) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2255, _u2259) )).
% 15.12/15.30 cnf(fact_mult__le__cancel2-2, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2256), _u2258), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2260), _u2258)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2258) )).
% 15.12/15.30 cnf(fact_mult__le__cancel2-3, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2256), _u2258), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2260), _u2258)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2256, _u2260) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__le__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2262), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2263)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2262, _u2263) )).
% 15.12/15.30 cnf(fact_nat__mult__le__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2262, _u2263) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2262), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2263)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2264) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2265) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2266)) | ( _u2265 = _u2266) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2264) | ( _u2265 != _u2266) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2265) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2266)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__less__cancel1-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2268), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2269)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2268, _u2269) )).
% 15.12/15.30 cnf(fact_nat__mult__less__cancel1-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2268, _u2269) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2268), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2269)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2273), _u2275) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2273), _u2277)) | ( _u2273 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2275 = _u2277) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2276) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2278)) | ( _u2274 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2276) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2278)) | ( _u2276 != _u2278) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_left__add__mult__distrib-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2279), _u2280), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2281), _u2280), _u2282)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2279, _u2281)), _u2280), _u2282)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2283, _u2284) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2283, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2285, _u2284)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2286, _u2287) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2286, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2287, _u2288)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2289, _u2290) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2289, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2291, _u2290)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2292, _u2293) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2292, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2293, _u2294)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2295, _u2296) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2295, _u2296) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__Suc__ex__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__Suc__ex__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2301, _u2303) | ( _u2303 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2301, skolem10(_u2303, _u2301))) )).
% 15.12/15.30 cnf(fact_le__Suc__ex__iff-2, axiom, ( ( _u2304 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2302, _u2298)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2302, _u2304) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__code__numeral__code-1, axiom, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__code__numeral__code-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OPls)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_half ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_half-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2305) | ~class_Int_Onumber__ring(_u2305) | c_Orderings_Oord__class_Oless(_u2305, c_Groups_Ozero__class_Ozero(_u2305), c_Rings_Oinverse__class_Odivide(_u2305, c_Groups_Oone__class_Oone(_u2305), c_Int_Onumber__class_Onumber__of(_u2305, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_incr__mult__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2308) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2310) | ~hBOOL(hAPP(_u2309, _u2307)) | hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2307, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2310), _u2308)))) | hBOOL(hAPP(_u2309, skolem11(_u2310, _u2309, _u2308))) )).
% 15.12/15.30 cnf(fact_incr__mult__lemma-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2308) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2310) | ~hBOOL(hAPP(_u2309, _u2307)) | hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2307, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2310), _u2308)))) | ~hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, skolem11(_u2310, _u2309, _u2308), _u2308))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u2311) | ~class_Int_Oring__char__0(_u2311) | ~c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, c_Int_OBit0(_u2312))) | c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, _u2312)) )).
% 15.12/15.30 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u2311) | ~class_Int_Oring__char__0(_u2311) | ~c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, _u2312)) | c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, c_Int_OBit0(_u2312))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u2313)) = c_Int_OBit0(_u2313)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u2314)) = c_Int_OBit1(c_Int_Opred(_u2314))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u2315)) = c_Int_OBit1(_u2315)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u2316)) = c_Int_OBit0(c_Int_Osucc(_u2316))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__eq__int__code_I13_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2319), c_Int_OBit0(_u2321)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2319, _u2321) )).
% 15.12/15.30 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2320, _u2322) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2320), c_Int_OBit0(_u2322)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I31_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2325), c_Int_OBit0(_u2327)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2325, _u2327) )).
% 15.12/15.30 cnf(fact_rel__simps_I31_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2326, _u2328) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2326), c_Int_OBit0(_u2328)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit0(_u2329)), _u2330) = c_Int_OBit0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2329), _u2330))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2333), c_Int_OBit0(_u2335)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2333, _u2335) )).
% 15.12/15.30 cnf(fact_rel__simps_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2334, _u2336) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2334), c_Int_OBit0(_u2336)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__int__code_I13_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2339), c_Int_OBit0(_u2341)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2339, _u2341) )).
% 15.12/15.30 cnf(fact_less__int__code_I13_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2340, _u2342) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2340), c_Int_OBit0(_u2342)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u2343) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2343, _u2343)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u2344), c_Int_OBit0(_u2345)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2344, _u2345))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u2346) != c_Int_OBit0(_u2347)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u2348) != c_Int_OBit1(_u2349)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_minus__Bit0-1, axiom, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit0(_u2350)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2350))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u2353) != c_Int_OBit0(_u2355)) | ( _u2353 = _u2355) )).
% 15.12/15.30 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u2354 != _u2356) | ( c_Int_OBit0(_u2354) = c_Int_OBit0(_u2356)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u2358) != c_Int_OPls) | ( _u2358 = c_Int_OPls) )).
% 15.12/15.30 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u2359 != c_Int_OPls) | ( c_Int_OBit0(_u2359) = c_Int_OPls) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u2361)) | ( c_Int_OPls = _u2361) )).
% 15.12/15.30 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u2362) | ( c_Int_OPls = c_Int_OBit0(_u2362)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u2363), c_Int_OBit1(_u2364)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2363, _u2364))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u2365), c_Int_OBit0(_u2366)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2365, _u2366))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2368)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u2368) )).
% 15.12/15.30 cnf(fact_rel__simps_I4_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u2369) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2369)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I10_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2371), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2371, c_Int_OPls) )).
% 15.12/15.30 cnf(fact_rel__simps_I10_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2372, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2372), c_Int_OPls) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2374), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2374, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2375, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2375), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I16_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2378), c_Int_OBit0(_u2380)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2378, _u2380) )).
% 15.12/15.30 cnf(fact_rel__simps_I16_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2379, _u2381) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2379), c_Int_OBit0(_u2381)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__int__code_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2384), c_Int_OBit0(_u2386)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2384, _u2386) )).
% 15.12/15.30 cnf(fact_less__int__code_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2385, _u2387) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2385), c_Int_OBit0(_u2387)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I27_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2389), c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2389, c_Int_OPls) )).
% 15.12/15.30 cnf(fact_rel__simps_I27_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2390, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2390), c_Int_OPls) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I21_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2392)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2392) )).
% 15.12/15.30 cnf(fact_rel__simps_I21_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2393) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2393)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__eq__int__code_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2396), c_Int_OBit1(_u2398)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2396, _u2398) )).
% 15.12/15.30 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2397, _u2399) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2397), c_Int_OBit1(_u2399)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I32_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2402), c_Int_OBit1(_u2404)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2402, _u2404) )).
% 15.12/15.30 cnf(fact_rel__simps_I32_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2403, _u2405) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2403), c_Int_OBit1(_u2405)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u2406) | ( c_Int_Onumber__class_Onumber__of(_u2406, c_Int_OBit0(_u2407)) = c_Groups_Oplus__class_Oplus(_u2406, c_Groups_Oplus__class_Oplus(_u2406, c_Groups_Ozero__class_Ozero(_u2406), c_Int_Onumber__class_Onumber__of(_u2406, _u2407)), c_Int_Onumber__class_Onumber__of(_u2406, _u2407))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2410), c_Int_OBit1(_u2412)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2410, _u2412) )).
% 15.12/15.30 cnf(fact_rel__simps_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2411, _u2413) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2411), c_Int_OBit1(_u2413)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__int__code_I14_J-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2416), c_Int_OBit1(_u2418)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2416, _u2418) )).
% 15.12/15.30 cnf(fact_less__int__code_I14_J-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2417, _u2419) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2417), c_Int_OBit1(_u2419)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rel__simps_I33_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2422), c_Int_OBit0(_u2424)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2422, _u2424) )).
% 15.12/15.30 cnf(fact_rel__simps_I33_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2423, _u2425) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2423), c_Int_OBit0(_u2425)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_less__eq__int__code_I15_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2428), c_Int_OBit0(_u2430)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2428, _u2430) )).
% 15.12/15.30 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2429, _u2431) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2429), c_Int_OBit0(_u2431)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit1(_u2432)), _u2433) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2432), _u2433)), _u2433)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u2434), c_Int_OBit1(_u2435)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2434, c_Int_Osucc(_u2435)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u2436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2436, c_Groups_Oplus__class_Oplus(_u2436, c_Groups_Oone__class_Oone(_u2436), c_Groups_Oone__class_Oone(_u2436))), c_Int_Onumber__class_Onumber__of(_u2436, _u2437)) = c_Int_Onumber__class_Onumber__of(_u2436, c_Int_OBit0(_u2437))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_number__of1-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2438)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2438))) )).
% 15.12/15.30 cnf(fact_number__of1-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2438)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2438))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_eq__divide__2__times__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_eq__divide__2__times__iff-1, axiom, ( ( _u2442 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2444, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2446))) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2442) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2444, _u2446)) )).
% 15.12/15.30 cnf(fact_eq__divide__2__times__iff-2, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2443) != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2445, _u2447)) | ( _u2443 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2445, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2447))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u2448) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2448, _u2449), c_Int_Onumber__class_Onumber__of(_u2448, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u2448, _u2449, _u2449)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u2450) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2450, c_Int_Onumber__class_Onumber__of(_u2450, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2451) = c_Groups_Oplus__class_Oplus(_u2450, _u2451, _u2451)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u2452) | ( c_Groups_Oplus__class_Oplus(_u2452, c_Groups_Oone__class_Oone(_u2452), c_Groups_Oone__class_Oone(_u2452)) = c_Int_Onumber__class_Onumber__of(_u2452, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_pos2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_pos2-1, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2453), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2453, _u2453)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__mult__2-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2454) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2454, _u2454)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nat__1__add__1-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__less__half__sum ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__less__half__sum-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2455, _u2456) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2455, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2455, _u2456), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__gt__half__sum ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__gt__half__sum-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2457, _u2458) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2457, _u2458), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2458) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2459) | ~class_Int_Onumber__ring(_u2459) | ~c_Orderings_Oord__class_Oless(_u2459, c_Groups_Ozero__class_Ozero(_u2459), _u2460) | c_Orderings_Oord__class_Oless(_u2459, c_Groups_Ozero__class_Ozero(_u2459), c_Rings_Oinverse__class_Odivide(_u2459, _u2460, c_Int_Onumber__class_Onumber__of(_u2459, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2461) | ~class_Int_Onumber__ring(_u2461) | ~c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), c_Rings_Oinverse__class_Odivide(_u2461, _u2462, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), _u2462) )).
% 15.12/15.30 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2461) | ~class_Int_Onumber__ring(_u2461) | ~c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), _u2462) | c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), c_Rings_Oinverse__class_Odivide(_u2461, _u2462, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_int__pos__lt__two__imp__zero__or__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_int__pos__lt__two__imp__zero__or__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2463) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2463, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2463 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sum__of__halves ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sum__of__halves-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2464, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2464, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = _u2464) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_DERIV__real__sqrt__generic ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_DERIV__real__sqrt__generic-1, axiom, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2465) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2465, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_DERIV__real__sqrt__generic-2, axiom, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2465) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465))), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30 cnf(fact_DERIV__real__sqrt__generic-3, axiom, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2465, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_DERIV__real__sqrt__generic-4, axiom, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465))), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_DERIV__const__average ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_DERIV__const__average-1, axiom, ( ( _u2468 = _u2469) | ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u2470, skolem12(_u2471, _u2470, _u2469, _u2468), _u2471) | ( hAPP(_u2470, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2468, _u2469), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(_u2470, _u2468), hAPP(_u2470, _u2469)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__lt__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__lt__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2473), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2473, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__lt__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2474, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2474), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__gt__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__gt__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2476)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2476) )).
% 15.12/15.30 cnf(fact_real__sqrt__gt__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2477) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2477)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__ge__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__ge__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2479)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2479) )).
% 15.12/15.30 cnf(fact_real__sqrt__ge__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2480) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2480)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__le__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__le__1__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2482), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2482, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__le__1__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2483, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2483), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__ge__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__ge__one-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2484) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2484)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__eq__1__iff-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, _u2486) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( _u2486 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__eq__1__iff-2, axiom, ( ( _u2487 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, _u2487) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__one-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__le__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__le__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2488, _u2489) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2488), hAPP(c_NthRoot_Osqrt, _u2489)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__le__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__le__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2492), hAPP(c_NthRoot_Osqrt, _u2494)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2492, _u2494) )).
% 15.12/15.30 cnf(fact_real__sqrt__le__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2493, _u2495) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2493), hAPP(c_NthRoot_Osqrt, _u2495)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__less__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__less__mono-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2496, _u2497) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2496), hAPP(c_NthRoot_Osqrt, _u2497)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__less__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__less__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2500), hAPP(c_NthRoot_Osqrt, _u2502)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2500, _u2502) )).
% 15.12/15.30 cnf(fact_real__sqrt__less__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2501, _u2503) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2501), hAPP(c_NthRoot_Osqrt, _u2503)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__mult-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2504), _u2505)) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2504)), hAPP(c_NthRoot_Osqrt, _u2505))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__minus-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u2506)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2506))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__inverse-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u2507)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2507))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__divide ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__divide-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2508, _u2509)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2508), hAPP(c_NthRoot_Osqrt, _u2509))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__eq__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__eq__iff-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, _u2512) != hAPP(c_NthRoot_Osqrt, _u2514)) | ( _u2512 = _u2514) )).
% 15.12/15.30 cnf(fact_real__sqrt__eq__iff-2, axiom, ( ( _u2513 != _u2515) | ( hAPP(c_NthRoot_Osqrt, _u2513) = hAPP(c_NthRoot_Osqrt, _u2515)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__gt__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2516) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2516)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__not__eq__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__not__eq__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2517) | ( hAPP(c_NthRoot_Osqrt, _u2517) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__lt__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__lt__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2519), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2519, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__lt__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2520, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2520), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__gt__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__gt__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2522)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2522) )).
% 15.12/15.30 cnf(fact_real__sqrt__gt__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2523) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2523)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__ge__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__ge__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2525)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2525) )).
% 15.12/15.30 cnf(fact_real__sqrt__ge__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2526) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2526)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__le__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__le__0__iff-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2528), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2528, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__le__0__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2529, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2529), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__ge__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2530) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2530)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__eq__zero__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__eq__zero__cancel-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2531) | ( hAPP(c_NthRoot_Osqrt, _u2531) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2531 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__eq__0__iff-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, _u2533) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2533 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_real__sqrt__eq__0__iff-2, axiom, ( ( _u2534 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, _u2534) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__zero-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_le__real__sqrt__sumsq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_le__real__sqrt__sumsq-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2535, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2535), _u2535), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2536), _u2536)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__mult__self__sum__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__mult__self__sum__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2537), _u2537), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2538), _u2538)))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sqrt__divide__self__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sqrt__divide__self__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2539) | ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2539), _u2539) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2539))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__two__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__two__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__two__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__two__gt__zero-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__two__gt__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__two__gt__one-1, axiom, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_lemma__real__divide__sqrt__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_lemma__real__divide__sqrt__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2540) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2540, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), _u2540) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_DERIV__real__sqrt ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_DERIV__real__sqrt-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2541) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2541, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2541)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_lemma__sqrt__hcomplex__capprox ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_lemma__sqrt__hcomplex__capprox-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2542) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2543, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2542, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2544, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2542, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2544) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2543, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2544, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _u2542) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__mult__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__mult__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2547, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2548, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__power-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2549, _u2550)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2549), _u2550)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2551) | ( c_Power_Opower__class_Opower(_u2551, _u2552, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2551)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2553) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2553, c_Power_Opower__class_Opower(_u2553, _u2554, _u2555)), c_Power_Opower__class_Opower(_u2553, _u2554, _u2556)) = c_Power_Opower__class_Opower(_u2553, _u2554, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2555, _u2556))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2557) | ( c_Power_Opower__class_Opower(_u2557, c_Power_Opower__class_Opower(_u2557, _u2558, _u2559), _u2560) = c_Power_Opower__class_Opower(_u2557, _u2558, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2559), _u2560))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2561) | ( c_Power_Opower__class_Opower(_u2561, hAPP(c_Groups_Otimes__class_Otimes(_u2561, _u2562), _u2563), _u2564) = hAPP(c_Groups_Otimes__class_Otimes(_u2561, c_Power_Opower__class_Opower(_u2561, _u2562, _u2564)), c_Power_Opower__class_Opower(_u2561, _u2563, _u2564))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2565) | ( c_Power_Opower__class_Opower(_u2565, _u2566, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2566) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__eq__0__iff__number__of ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__eq__0__iff__number__of-1, axiom, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) != c_Groups_Ozero__class_Ozero(_u2567)) | ( _u2568 = c_Groups_Ozero__class_Ozero(_u2567)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff__number__of-2, axiom, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) != c_Groups_Ozero__class_Ozero(_u2567)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff__number__of-3, axiom, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( _u2568 != c_Groups_Ozero__class_Ozero(_u2567)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) = c_Groups_Ozero__class_Ozero(_u2567)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__0__left__number__of ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__0__left__number__of-1, axiom, ( ~class_Power_Opower(_u2570) | ~class_Rings_Osemiring__0(_u2570) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2570, c_Groups_Ozero__class_Ozero(_u2570), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571)) = c_Groups_Oone__class_Oone(_u2570)) )).
% 15.12/15.30 cnf(fact_power__0__left__number__of-2, axiom, ( ~class_Power_Opower(_u2570) | ~class_Rings_Osemiring__0(_u2570) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2570, c_Groups_Ozero__class_Ozero(_u2570), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571)) = c_Groups_Ozero__class_Ozero(_u2570)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u2572) | ( c_Power_Opower__class_Opower(_u2572, _u2573, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2572, hAPP(c_Groups_Otimes__class_Otimes(_u2572, _u2573), _u2573)), _u2573)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u2574) | ( c_Power_Opower__class_Opower(_u2574, c_Groups_Ozero__class_Ozero(_u2574), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u2574)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2575) | ( c_Power_Opower__class_Opower(_u2575, _u2576, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u2575)) | ( _u2576 = c_Groups_Ozero__class_Ozero(_u2575)) )).
% 15.12/15.30 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2575) | ( _u2576 != c_Groups_Ozero__class_Ozero(_u2575)) | ( c_Power_Opower__class_Opower(_u2575, _u2576, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u2575)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2577) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2577, _u2578), _u2578) = c_Power_Opower__class_Opower(_u2577, _u2578, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u2579) | ( c_Power_Opower__class_Opower(_u2579, _u2580, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2579, _u2580), _u2580)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u2581) | ( c_Power_Opower__class_Opower(_u2581, c_Groups_Oone__class_Oone(_u2581), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2581)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u2582) | ( c_Power_Opower__class_Opower(_u2582, c_Groups_Ouminus__class_Ouminus(_u2582, _u2583), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(_u2582, _u2583, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u2584) | ( c_Power_Opower__class_Opower(_u2584, _u2585, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2586)) = c_Power_Opower__class_Opower(_u2584, c_Power_Opower__class_Opower(_u2584, _u2585, _u2586), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u2587) | c_Orderings_Oord__class_Oless__eq(_u2587, c_Groups_Ozero__class_Ozero(_u2587), c_Power_Opower__class_Opower(_u2587, _u2588, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2589) | ~c_Orderings_Oord__class_Oless__eq(_u2589, c_Power_Opower__class_Opower(_u2589, _u2590, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2589, _u2591, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2589, c_Groups_Ozero__class_Ozero(_u2589), _u2591) | c_Orderings_Oord__class_Oless__eq(_u2589, _u2590, _u2591) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2592) | ( c_Power_Opower__class_Opower(_u2592, _u2593, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(_u2592, _u2594, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2592, c_Groups_Ozero__class_Ozero(_u2592), _u2593) | ~c_Orderings_Oord__class_Oless__eq(_u2592, c_Groups_Ozero__class_Ozero(_u2592), _u2594) | ( _u2593 = _u2594) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u2595) | ~c_Orderings_Oord__class_Oless(_u2595, c_Groups_Ozero__class_Ozero(_u2595), c_Power_Opower__class_Opower(_u2595, _u2596, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u2596 != c_Groups_Ozero__class_Ozero(_u2595)) )).
% 15.12/15.30 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u2595) | ( _u2596 = c_Groups_Ozero__class_Ozero(_u2595)) | c_Orderings_Oord__class_Oless(_u2595, c_Groups_Ozero__class_Ozero(_u2595), c_Power_Opower__class_Opower(_u2595, _u2596, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2597) | ~c_Orderings_Oord__class_Oless(_u2597, c_Power_Opower__class_Opower(_u2597, _u2598, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Ozero__class_Ozero(_u2597)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2599) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2600 = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.30 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2599) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2601 = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.30 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u2599) | ( _u2600 != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2601 != c_Groups_Ozero__class_Ozero(_u2599)) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u2602) | ~class_Int_Onumber(_u2602) | ( c_Power_Opower__class_Opower(_u2602, c_Int_Onumber__class_Onumber__of(_u2602, _u2603), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2602, c_Int_Onumber__class_Onumber__of(_u2602, _u2603)), c_Int_Onumber__class_Onumber__of(_u2602, _u2603))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 = c_Groups_Ouminus__class_Ouminus(_u2604, c_Groups_Oone__class_Oone(_u2604))) )).
% 15.12/15.30 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 != c_Groups_Oone__class_Oone(_u2604)) )).
% 15.12/15.30 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 != c_Groups_Ouminus__class_Ouminus(_u2604, c_Groups_Oone__class_Oone(_u2604))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u2606) | ( c_Power_Opower__class_Opower(_u2606, _u2607, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2608)) = hAPP(c_Groups_Otimes__class_Otimes(_u2606, c_Power_Opower__class_Opower(_u2606, _u2607, _u2608)), c_Power_Opower__class_Opower(_u2606, _u2607, _u2608))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_ring__1__class_Opower__minus__even ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_ring__1__class_Opower__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u2609) | ( c_Power_Opower__class_Opower(_u2609, c_Groups_Ouminus__class_Ouminus(_u2609, _u2610), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2611)) = c_Power_Opower__class_Opower(_u2609, _u2610, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2611))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_realpow__two__sum__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_realpow__two__sum__zero__iff-1, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2614, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2616, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2614 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_realpow__two__sum__zero__iff-2, axiom, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2614, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2616, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2616 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(fact_realpow__two__sum__zero__iff-3, axiom, ( ( _u2615 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2617 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2615, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2617, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_four__x__squared ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_four__x__squared-1, axiom, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2618, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2618), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_two__realpow__ge__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_two__realpow__ge__one-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2619)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_realpow__square__minus__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_realpow__square__minus__le-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2620, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2621, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2622) | ~c_Orderings_Oord__class_Oless(_u2622, c_Power_Opower__class_Opower(_u2622, _u2623, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2622, _u2624, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2622, c_Groups_Ozero__class_Ozero(_u2622), _u2624) | c_Orderings_Oord__class_Oless(_u2622, _u2623, _u2624) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u2625) | c_Orderings_Oord__class_Oless__eq(_u2625, c_Groups_Ozero__class_Ozero(_u2625), c_Groups_Oplus__class_Oplus(_u2625, c_Power_Opower__class_Opower(_u2625, _u2626, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2625, _u2627, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2628) | ~c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2629 = c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.30 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2628) | ~c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2630 = c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.30 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u2628) | ( _u2629 != c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2630 != c_Groups_Ozero__class_Ozero(_u2628)) | c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oplus__class_Oplus(_u2631, c_Power_Opower__class_Opower(_u2631, _u2632, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2631, _u2633, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2631)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u2634) | ~c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2635 != c_Groups_Ozero__class_Ozero(_u2634)) | ( _u2636 != c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.30 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u2634) | c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2635 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.30 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u2634) | c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2636 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u2637) | ( c_Power_Opower__class_Opower(_u2637, c_Groups_Oplus__class_Oplus(_u2637, _u2638, _u2639), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u2637, c_Groups_Oplus__class_Oplus(_u2637, c_Power_Opower__class_Opower(_u2637, _u2638, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2637, _u2639, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(c_Groups_Otimes__class_Otimes(_u2637, hAPP(c_Groups_Otimes__class_Otimes(_u2637, c_Int_Onumber__class_Onumber__of(_u2637, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2638)), _u2639))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_even__power__le__0__imp__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_even__power__le__0__imp__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u2640) | ~c_Orderings_Oord__class_Oless__eq(_u2640, c_Power_Opower__class_Opower(_u2640, _u2641, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2642)), c_Groups_Ozero__class_Ozero(_u2640)) | ( _u2641 = c_Groups_Ozero__class_Ozero(_u2640)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u2643) | c_Orderings_Oord__class_Oless__eq(_u2643, c_Groups_Ozero__class_Ozero(_u2643), c_Power_Opower__class_Opower(_u2643, _u2644, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2645))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u2646) | ( c_Power_Opower__class_Opower(_u2646, c_Groups_Ouminus__class_Ouminus(_u2646, c_Groups_Oone__class_Oone(_u2646)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2647)) = c_Groups_Oone__class_Oone(_u2646)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__unique ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__unique-1, axiom, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2648, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != _u2649) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2648) | ( hAPP(c_NthRoot_Osqrt, _u2649) = _u2648) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__pow2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__pow2-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2650) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2650), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2650) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__pow2__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__pow2__iff-1, axiom, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2652), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != _u2652) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2652) )).
% 15.12/15.30 cnf(fact_real__sqrt__pow2__iff-2, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2653) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2653), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2653) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__pow2__gt__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__pow2__gt__zero-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2654) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2654), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__ge1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__ge1-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2655, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2655, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2656, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__ge2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__ge2-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2657, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2658, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2657, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__triangle__ineq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__triangle__ineq-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2659, _u2660), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2661, _u2662), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2659, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2661, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2660, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2662, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__eq__cancel ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__eq__cancel-1, axiom, ( ( _u2664 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2663, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2664, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != _u2663) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__eq__cancel2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__eq__cancel2-1, axiom, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2665, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2666, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != _u2666) | ( _u2665 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__mult__squared__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__mult__squared__eq-1, axiom, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2667, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2669, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2667, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2669, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__ge__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__ge__zero-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2671, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2672, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__inv__sqrt__pow2 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__inv__sqrt__pow2-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2673) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2673)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u2673)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sum__squared__expand ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sum__squared__expand-1, axiom, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2674, _u2675), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2674, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2675, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2674)), _u2675))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2676) | ~c_Orderings_Oord__class_Oless(_u2676, _u2677, _u2678) | ~c_Orderings_Oord__class_Oless__eq(_u2676, c_Groups_Ozero__class_Ozero(_u2676), _u2677) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2679) | c_Orderings_Oord__class_Oless(_u2676, c_Power_Opower__class_Opower(_u2676, _u2677, _u2679), c_Power_Opower__class_Opower(_u2676, _u2678, _u2679)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 15.12/15.30 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), _u2680) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2680, _u2681), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2680, _u2682)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2681, _u2682) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 15.12/15.30 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), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2685, _u2687)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2685) | ( _u2687 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 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), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2686, _u2688)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2686) )).
% 15.12/15.30 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), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2686, _u2688)) | ( _u2688 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2689) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, _u2689, _u2690)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2692, _u2693)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, _u2692)), c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, _u2693))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zpower__zpower-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2694, _u2695), _u2696) = c_Power_Opower__class_Opower(tc_Int_Oint, _u2694, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2695), _u2696))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power__nat__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2699, _u2701)) | ( _u2701 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2699) )).
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2700, _u2702)) | ( _u2702 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2700, _u2702)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2700) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power__nat__eq__number__of ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq__number__of-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2705, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2707))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2707) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2705) )).
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq__number__of-2, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2706, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_zero__less__power__nat__eq__number__of-3, axiom, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2706, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2706) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u2709) | ( _u2710 = c_Groups_Ozero__class_Ozero(_u2709)) | ( c_Power_Opower__class_Opower(_u2709, _u2710, _u2711) != c_Groups_Ozero__class_Ozero(_u2709)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u2712) | ( c_Power_Opower__class_Opower(_u2712, hAPP(c_Groups_Otimes__class_Otimes(_u2712, _u2713), _u2714), _u2715) = hAPP(c_Groups_Otimes__class_Otimes(_u2712, c_Power_Opower__class_Opower(_u2712, _u2713, _u2715)), c_Power_Opower__class_Opower(_u2712, _u2714, _u2715))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u2716) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2716, c_Power_Opower__class_Opower(_u2716, _u2717, _u2718)), _u2717) = hAPP(c_Groups_Otimes__class_Otimes(_u2716, _u2717), c_Power_Opower__class_Opower(_u2716, _u2717, _u2718))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u2719) | ( c_Power_Opower__class_Opower(_u2719, c_Groups_Oone__class_Oone(_u2719), _u2720) = c_Groups_Oone__class_Oone(_u2719)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2721) | ( c_Power_Opower__class_Opower(_u2721, c_Rings_Oinverse__class_Odivide(_u2721, _u2722, _u2723), _u2724) = c_Rings_Oinverse__class_Odivide(_u2721, c_Power_Opower__class_Opower(_u2721, _u2722, _u2724), c_Power_Opower__class_Opower(_u2721, _u2723, _u2724))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u2725) | ( c_Power_Opower__class_Opower(_u2725, _u2726, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2727), _u2728)) = c_Power_Opower__class_Opower(_u2725, c_Power_Opower__class_Opower(_u2725, _u2726, _u2727), _u2728)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__inverse-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u2729) | ( c_Rings_Oinverse__class_Oinverse(_u2729, c_Power_Opower__class_Opower(_u2729, _u2730, _u2731)) = c_Power_Opower__class_Opower(_u2729, c_Rings_Oinverse__class_Oinverse(_u2729, _u2730), _u2731)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u2732) | ( c_Power_Opower__class_Opower(_u2732, _u2733, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2733) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2734) | ~c_Orderings_Oord__class_Oless__eq(_u2734, c_Groups_Ozero__class_Ozero(_u2734), _u2735) | c_Orderings_Oord__class_Oless__eq(_u2734, c_Groups_Ozero__class_Ozero(_u2734), c_Power_Opower__class_Opower(_u2734, _u2735, _u2736)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2737) | ~c_Orderings_Oord__class_Oless__eq(_u2737, _u2738, _u2739) | ~c_Orderings_Oord__class_Oless__eq(_u2737, c_Groups_Ozero__class_Ozero(_u2737), _u2738) | c_Orderings_Oord__class_Oless__eq(_u2737, c_Power_Opower__class_Opower(_u2737, _u2738, _u2740), c_Power_Opower__class_Opower(_u2737, _u2739, _u2740)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2741) | ~c_Orderings_Oord__class_Oless(_u2741, c_Groups_Ozero__class_Ozero(_u2741), _u2742) | c_Orderings_Oord__class_Oless(_u2741, c_Groups_Ozero__class_Ozero(_u2741), c_Power_Opower__class_Opower(_u2741, _u2742, _u2743)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2744) | ~c_Orderings_Oord__class_Oless__eq(_u2744, c_Groups_Oone__class_Oone(_u2744), _u2745) | c_Orderings_Oord__class_Oless__eq(_u2744, c_Groups_Oone__class_Oone(_u2744), c_Power_Opower__class_Opower(_u2744, _u2745, _u2746)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2748 = c_Groups_Ozero__class_Ozero(_u2747)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2749 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.30 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( _u2748 != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2749 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) = c_Groups_Ozero__class_Ozero(_u2747)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2750) | ~c_Orderings_Oord__class_Oless(_u2750, c_Groups_Oone__class_Oone(_u2750), _u2751) | ( c_Power_Opower__class_Opower(_u2750, _u2751, _u2752) != c_Power_Opower__class_Opower(_u2750, _u2751, _u2753)) | ( _u2752 = _u2753) )).
% 15.12/15.30 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2750) | ~c_Orderings_Oord__class_Oless(_u2750, c_Groups_Oone__class_Oone(_u2750), _u2751) | ( _u2752 != _u2753) | ( c_Power_Opower__class_Opower(_u2750, _u2751, _u2752) = c_Power_Opower__class_Opower(_u2750, _u2751, _u2753)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u2754) | ( _u2755 = c_Groups_Ozero__class_Ozero(_u2754)) | ( c_Power_Opower__class_Opower(_u2754, c_Rings_Oinverse__class_Odivide(_u2754, _u2756, _u2755), _u2757) = c_Rings_Oinverse__class_Odivide(_u2754, c_Power_Opower__class_Opower(_u2754, _u2756, _u2757), c_Power_Opower__class_Opower(_u2754, _u2755, _u2757))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u2758) | ( c_Power_Opower__class_Opower(_u2758, _u2759, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2758)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u2760) | ( c_Power_Opower__class_Opower(_u2760, _u2761, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2762, _u2763)) = hAPP(c_Groups_Otimes__class_Otimes(_u2760, c_Power_Opower__class_Opower(_u2760, _u2761, _u2762)), c_Power_Opower__class_Opower(_u2760, _u2761, _u2763))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u2764) | ( c_Rings_Oinverse__class_Odivide(_u2764, c_Groups_Oone__class_Oone(_u2764), c_Power_Opower__class_Opower(_u2764, _u2765, _u2766)) = c_Power_Opower__class_Opower(_u2764, c_Rings_Oinverse__class_Odivide(_u2764, c_Groups_Oone__class_Oone(_u2764), _u2765), _u2766)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_nonzero__power__inverse ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_nonzero__power__inverse-1, axiom, ( ~class_Rings_Odivision__ring(_u2767) | ( _u2768 = c_Groups_Ozero__class_Ozero(_u2767)) | ( c_Rings_Oinverse__class_Oinverse(_u2767, c_Power_Opower__class_Opower(_u2767, _u2768, _u2769)) = c_Power_Opower__class_Opower(_u2767, c_Rings_Oinverse__class_Oinverse(_u2767, _u2768), _u2769)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2770) | ~c_Orderings_Oord__class_Oless(_u2770, c_Power_Opower__class_Opower(_u2770, _u2771, _u2772), c_Power_Opower__class_Opower(_u2770, _u2773, _u2772)) | ~c_Orderings_Oord__class_Oless__eq(_u2770, c_Groups_Ozero__class_Ozero(_u2770), _u2773) | c_Orderings_Oord__class_Oless(_u2770, _u2771, _u2773) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2774) | ~c_Orderings_Oord__class_Oless(_u2774, c_Groups_Oone__class_Oone(_u2774), _u2775) | c_Orderings_Oord__class_Oless(_u2774, c_Groups_Oone__class_Oone(_u2774), hAPP(c_Groups_Otimes__class_Otimes(_u2774, _u2775), c_Power_Opower__class_Opower(_u2774, _u2775, _u2776))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2777) | ~c_Orderings_Oord__class_Oless(_u2777, c_Groups_Oone__class_Oone(_u2777), _u2778) | c_Orderings_Oord__class_Oless(_u2777, c_Power_Opower__class_Opower(_u2777, _u2778, _u2779), hAPP(c_Groups_Otimes__class_Otimes(_u2777, _u2778), c_Power_Opower__class_Opower(_u2777, _u2778, _u2779))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u2780) | ~class_Rings_Osemiring__0(_u2780) | ( _u2781 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2780, c_Groups_Ozero__class_Ozero(_u2780), _u2781) = c_Groups_Oone__class_Oone(_u2780)) )).
% 15.12/15.30 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u2780) | ~class_Rings_Osemiring__0(_u2780) | ( _u2781 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2780, c_Groups_Ozero__class_Ozero(_u2780), _u2781) = c_Groups_Ozero__class_Ozero(_u2780)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u2782) | ( c_Power_Opower__class_Opower(_u2782, c_Groups_Ouminus__class_Ouminus(_u2782, _u2783), _u2784) = hAPP(c_Groups_Otimes__class_Otimes(_u2782, c_Power_Opower__class_Opower(_u2782, c_Groups_Ouminus__class_Ouminus(_u2782, c_Groups_Oone__class_Oone(_u2782)), _u2784)), c_Power_Opower__class_Opower(_u2782, _u2783, _u2784))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2785) | ~c_Orderings_Oord__class_Oless(_u2785, c_Groups_Oone__class_Oone(_u2785), _u2786) | ~c_Orderings_Oord__class_Oless(_u2785, c_Power_Opower__class_Opower(_u2785, _u2786, _u2787), c_Power_Opower__class_Opower(_u2785, _u2786, _u2788)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2787, _u2788) )).
% 15.12/15.30 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2785) | ~c_Orderings_Oord__class_Oless(_u2785, c_Groups_Oone__class_Oone(_u2785), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2787, _u2788) | c_Orderings_Oord__class_Oless(_u2785, c_Power_Opower__class_Opower(_u2785, _u2786, _u2787), c_Power_Opower__class_Opower(_u2785, _u2786, _u2788)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2789) | ~c_Orderings_Oord__class_Oless(_u2789, c_Groups_Oone__class_Oone(_u2789), _u2790) | ~c_Orderings_Oord__class_Oless(_u2789, c_Power_Opower__class_Opower(_u2789, _u2790, _u2791), c_Power_Opower__class_Opower(_u2789, _u2790, _u2792)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2791, _u2792) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2793) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2794, _u2795) | ~c_Orderings_Oord__class_Oless(_u2793, c_Groups_Oone__class_Oone(_u2793), _u2796) | c_Orderings_Oord__class_Oless(_u2793, c_Power_Opower__class_Opower(_u2793, _u2796, _u2794), c_Power_Opower__class_Opower(_u2793, _u2796, _u2795)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2797) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2798, _u2799) | ~c_Orderings_Oord__class_Oless__eq(_u2797, c_Groups_Oone__class_Oone(_u2797), _u2800) | c_Orderings_Oord__class_Oless__eq(_u2797, c_Power_Opower__class_Opower(_u2797, _u2800, _u2798), c_Power_Opower__class_Opower(_u2797, _u2800, _u2799)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) | ~c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Oone__class_Oone(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, hAPP(c_Groups_Otimes__class_Otimes(_u2801, _u2802), c_Power_Opower__class_Opower(_u2801, _u2802, _u2803)), c_Power_Opower__class_Opower(_u2801, _u2802, _u2803)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2804) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2805, _u2806) | ~c_Orderings_Oord__class_Oless(_u2804, c_Groups_Ozero__class_Ozero(_u2804), _u2807) | ~c_Orderings_Oord__class_Oless(_u2804, _u2807, c_Groups_Oone__class_Oone(_u2804)) | c_Orderings_Oord__class_Oless(_u2804, c_Power_Opower__class_Opower(_u2804, _u2807, _u2806), c_Power_Opower__class_Opower(_u2804, _u2807, _u2805)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2808) | ( c_Power_Opower__class_Opower(_u2808, _u2809, _u2810) != c_Power_Opower__class_Opower(_u2808, _u2811, _u2810)) | ~c_Orderings_Oord__class_Oless__eq(_u2808, c_Groups_Ozero__class_Ozero(_u2808), _u2809) | ~c_Orderings_Oord__class_Oless__eq(_u2808, c_Groups_Ozero__class_Ozero(_u2808), _u2811) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2810) | ( _u2809 = _u2811) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2812) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2813, _u2814) | ~c_Orderings_Oord__class_Oless__eq(_u2812, c_Groups_Ozero__class_Ozero(_u2812), _u2815) | ~c_Orderings_Oord__class_Oless__eq(_u2812, _u2815, c_Groups_Oone__class_Oone(_u2812)) | c_Orderings_Oord__class_Oless__eq(_u2812, c_Power_Opower__class_Opower(_u2812, _u2815, _u2814), c_Power_Opower__class_Opower(_u2812, _u2815, _u2813)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2816) | ~c_Orderings_Oord__class_Oless(_u2816, c_Groups_Oone__class_Oone(_u2816), _u2817) | ~c_Orderings_Oord__class_Oless__eq(_u2816, c_Power_Opower__class_Opower(_u2816, _u2817, _u2818), c_Power_Opower__class_Opower(_u2816, _u2817, _u2819)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2818, _u2819) )).
% 15.12/15.30 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u2816) | ~c_Orderings_Oord__class_Oless(_u2816, c_Groups_Oone__class_Oone(_u2816), _u2817) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2818, _u2819) | c_Orderings_Oord__class_Oless__eq(_u2816, c_Power_Opower__class_Opower(_u2816, _u2817, _u2818), c_Power_Opower__class_Opower(_u2816, _u2817, _u2819)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2820) | ~c_Orderings_Oord__class_Oless(_u2820, c_Groups_Oone__class_Oone(_u2820), _u2821) | ~c_Orderings_Oord__class_Oless__eq(_u2820, c_Power_Opower__class_Opower(_u2820, _u2821, _u2822), c_Power_Opower__class_Opower(_u2820, _u2821, _u2823)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2822, _u2823) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u2824) | ~c_Orderings_Oord__class_Oless(_u2824, c_Groups_Oone__class_Oone(_u2824), _u2825) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2826) | c_Orderings_Oord__class_Oless(_u2824, c_Groups_Oone__class_Oone(_u2824), c_Power_Opower__class_Opower(_u2824, _u2825, _u2826)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_csqrt ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_csqrt-1, axiom, ( ( c_Power_Opower__class_Opower(tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_u2827), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2827) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_arctan__half ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_arctan__half-1, axiom, ( ( hAPP(c_Transcendental_Oarctan, _u2828) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Transcendental_Oarctan, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2828, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2828, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_arctan__zero__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_arctan__zero__zero-1, axiom, ( ( hAPP(c_Transcendental_Oarctan, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_arctan__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_arctan__minus-1, axiom, ( ( hAPP(c_Transcendental_Oarctan, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u2829)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2829))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_arctan__monotone_H ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_arctan__monotone_H-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2830, _u2831) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2830), hAPP(c_Transcendental_Oarctan, _u2831)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_arctan__monotone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_arctan__monotone-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2832, _u2833) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2832), hAPP(c_Transcendental_Oarctan, _u2833)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_DERIV__arctan ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_DERIV__arctan-1, axiom, ( c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oarctan, _u2834, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2834, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_cos__x__y__le__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_cos__x__y__le__one-1, axiom, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2835, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2835, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2836, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sqrt__sum__squares__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sqrt__sum__squares__less-1, axiom, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2837), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2838, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2839), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2838, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2839, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _u2838) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2840) | c_Orderings_Oord__class_Oless__eq(_u2840, c_Groups_Ozero__class_Ozero(_u2840), c_Power_Opower__class_Opower(_u2840, c_Groups_Oabs__class_Oabs(_u2840, _u2841), _u2842)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u2843) | ( c_Groups_Oabs__class_Oabs(_u2843, c_Power_Opower__class_Opower(_u2843, _u2844, _u2845)) = c_Power_Opower__class_Opower(_u2843, c_Groups_Oabs__class_Oabs(_u2843, _u2844), _u2845)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u2846) | ( c_Groups_Oabs__class_Oabs(_u2846, c_Power_Opower__class_Opower(_u2846, c_Groups_Ouminus__class_Ouminus(_u2846, _u2847), _u2848)) = c_Groups_Oabs__class_Oabs(_u2846, c_Power_Opower__class_Opower(_u2846, _u2847, _u2848))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_rabs__ratiotest__lemma ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_rabs__ratiotest__lemma-1, axiom, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2849, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2850), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2849), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2851))) | ( _u2850 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u2852) | ~c_Orderings_Oord__class_Oless__eq(_u2852, c_Groups_Ozero__class_Ozero(_u2852), _u2853) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2852, c_Groups_Oabs__class_Oabs(_u2852, _u2854)), _u2853) = c_Groups_Oabs__class_Oabs(_u2852, hAPP(c_Groups_Otimes__class_Otimes(_u2852, _u2854), _u2853))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2856) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2857) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2856) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2857, c_Groups_Ozero__class_Ozero(_u2855)) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2856, c_Groups_Ozero__class_Ozero(_u2855)) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2857) )).
% 15.12/15.30 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2856, c_Groups_Ozero__class_Ozero(_u2855)) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2857, c_Groups_Ozero__class_Ozero(_u2855)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u2858) | ~c_Orderings_Oord__class_Oless__eq(_u2858, _u2859, c_Groups_Ozero__class_Ozero(_u2858)) | ( c_Groups_Oabs__class_Oabs(_u2858, _u2859) = c_Groups_Ouminus__class_Ouminus(_u2858, _u2859)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u2860) | c_Orderings_Oord__class_Oless__eq(_u2860, c_Groups_Ouminus__class_Ouminus(_u2860, c_Groups_Oabs__class_Oabs(_u2860, _u2861)), c_Groups_Ozero__class_Ozero(_u2860)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u2862) | ~c_Orderings_Oord__class_Oless(_u2862, _u2863, c_Groups_Ozero__class_Ozero(_u2862)) | ( c_Groups_Oabs__class_Oabs(_u2862, _u2863) = c_Groups_Ouminus__class_Ouminus(_u2862, _u2863)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u2864) | ~c_Orderings_Oord__class_Oless(_u2864, _u2865, c_Groups_Ozero__class_Ozero(_u2864)) | ( c_Groups_Oabs__class_Oabs(_u2864, _u2865) = c_Groups_Ouminus__class_Ouminus(_u2864, _u2865)) )).
% 15.12/15.30 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u2864) | c_Orderings_Oord__class_Oless(_u2864, _u2865, c_Groups_Ozero__class_Ozero(_u2864)) | ( c_Groups_Oabs__class_Oabs(_u2864, _u2865) = _u2865) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u2866) | ~c_Orderings_Oord__class_Oless(_u2866, c_Groups_Ozero__class_Ozero(_u2866), _u2867) | ( c_Rings_Oinverse__class_Odivide(_u2866, c_Groups_Oabs__class_Oabs(_u2866, _u2868), _u2867) = c_Groups_Oabs__class_Oabs(_u2866, c_Rings_Oinverse__class_Odivide(_u2866, _u2868, _u2867))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u2869) | ( c_Groups_Oabs__class_Oabs(_u2869, c_Groups_Oone__class_Oone(_u2869)) = c_Groups_Oone__class_Oone(_u2869)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_real__sgn__eq ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_real__sgn__eq-1, axiom, ( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2870) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2870, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2870))) )).
% 15.12/15.30
% 15.12/15.30 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 15.12/15.30 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u2871) | ~c_Orderings_Oord__class_Oless(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2872), _u2873) | ~c_Orderings_Oord__class_Oless(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2874), _u2875) | c_Orderings_Oord__class_Oless(_u2871, hAPP(c_Groups_Otimes__class_Otimes(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2872)), c_Groups_Oabs__class_Oabs(_u2871, _u2874)), hAPP(c_Groups_Otimes__class_Otimes(_u2871, _u2873), _u2875)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u2876) | class_Lattices_Oboolean__algebra(tc_fun(_u2877, _u2876)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u2878) | class_Orderings_Opreorder(tc_fun(_u2879, _u2878)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u2880) | class_Orderings_Oorder(tc_fun(_u2881, _u2880)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u2882) | class_Orderings_Oord(tc_fun(_u2883, _u2882)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u2884) | class_Groups_Ouminus(tc_fun(_u2885, _u2884)) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero-1, axiom, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__RealVector_Oreal__normed__field ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__RealVector_Oreal__normed__field-1, axiom, ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Fields_Olinordered__field ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Fields_Olinordered__field-1, axiom, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oordered__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Int_Onumber__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Osgn__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oabs__if ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Fields_Ofield ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Power_Opower-1, axiom, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__SEQ_Obanach ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__SEQ_Obanach-1, axiom, ( class_SEQ_Obanach(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Int_Onumber ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_RealDef__Oreal__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_RealDef__Oreal__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra-1, axiom, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero-1, axiom, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1-1, axiom, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra-1, axiom, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__vector ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector-1, axiom, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__RealVector_Oreal__normed__field ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__RealVector_Oreal__normed__field-1, axiom, ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Fields_Ofield__inverse__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero-1, axiom, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Odivision__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Odivision__ring-1, axiom, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Oab__group__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ogroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Int_Oring__char__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Int_Onumber__ring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ouminus ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Oring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Fields_Ofield ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Fields_Ofield-1, axiom, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Power_Opower-1, axiom, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__SEQ_Obanach ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__SEQ_Obanach-1, axiom, ( class_SEQ_Obanach(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Oring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Rings_Oidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Int_Onumber ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Complex__Ocomplex__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Complex__Ocomplex__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 15.12/15.30 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.30
% 15.12/15.30 % Formula: conj_0 ( conjecture ) (definitionally) converted to clauses:
% 15.12/15.30 cnf(conj_0-1, negated_conjecture, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____), v_m____), v_e) )).
% 15.12/15.30
% 15.12/15.30 % Problem matrix:
% 15.12/15.30 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 15.12/15.30 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 15.12/15.30 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 15.12/15.30 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-5, 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)) )).
% 15.12/15.30 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Otimes__class_Otimes(__eqx_0, __eqx_1) = c_Groups_Otimes__class_Otimes(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Groups_Oplus__class_Oplus(__eqx_0, __eqx_1, __eqx_2) = c_Groups_Oplus__class_Oplus(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Rings_Oinverse__class_Oinverse(__eqx_0, __eqx_1) = c_Rings_Oinverse__class_Oinverse(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Osgn__class_Osgn(__eqx_0, __eqx_1) = c_Groups_Osgn__class_Osgn(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Int_Onumber__class_Onumber__of(__eqx_0, __eqx_1) = c_Int_Onumber__class_Onumber__of(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0, __eqx_1) = c_Groups_Ouminus__class_Ouminus(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( c_Transcendental_Oexp(__eqx_0) = c_Transcendental_Oexp(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Power_Opower__class_Opower(__eqx_0, __eqx_1, __eqx_2) = c_Power_Opower__class_Opower(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(__eqx_0) = c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(__eqy_0)) )).
% 15.12/15.30 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Groups_Oabs__class_Oabs(__eqx_0, __eqx_1) = c_Groups_Oabs__class_Oabs(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.12/15.30 cnf(matrix-24, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-26, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem7(__eqx_0, __eqx_1, __eqx_2) = skolem7(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-27, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem8(__eqx_0, __eqx_1, __eqx_2) = skolem8(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem9(__eqx_0, __eqx_1) = skolem9(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 15.12/15.30 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem11(__eqx_0, __eqx_1, __eqx_2) = skolem11(__eqy_0, __eqy_1, __eqy_2)) )).
% 15.12/15.30 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem12(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem12(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 15.12/15.30 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless(__eqy_0, __eqy_1, __eqy_2) )).
% 15.12/15.30 cnf(matrix-33, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 15.12/15.30 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 15.12/15.30 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 15.12/15.30 cnf(matrix-37, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 15.12/15.30 cnf(matrix-38, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 15.12/15.30 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-40, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 15.12/15.30 cnf(matrix-41, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 15.12/15.30 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 15.12/15.30 cnf(matrix-43, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 15.12/15.30 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 15.12/15.30 cnf(matrix-45, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 15.12/15.30 cnf(matrix-46, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 15.12/15.30 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 15.12/15.30 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 15.12/15.30 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 15.12/15.30 cnf(matrix-50, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-51, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Orderings_Oord__class_Oless__eq(__eqx_0, __eqx_1, __eqx_2) | c_Orderings_Oord__class_Oless__eq(__eqy_0, __eqy_1, __eqy_2) )).
% 15.12/15.30 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__field(__eqx_0) | class_RealVector_Oreal__normed__field(__eqy_0) )).
% 15.12/15.30 cnf(matrix-53, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 15.12/15.30 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 15.12/15.30 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra(__eqx_0) | class_RealVector_Oreal__normed__algebra(__eqy_0) )).
% 15.12/15.30 cnf(matrix-56, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-57, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-58, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-59, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-60, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-61, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 15.12/15.30 cnf(matrix-62, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 15.12/15.30 cnf(matrix-63, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 15.12/15.30 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 15.12/15.30 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 15.12/15.30 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 15.12/15.30 cnf(matrix-67, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 15.12/15.30 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 15.12/15.30 cnf(matrix-69, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-72, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-73, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-75, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-76, plain, ( ( __eqx_0 != __eqy_0) | ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqx_0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(__eqy_0) )).
% 15.12/15.30 cnf(matrix-77, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add__imp__le(__eqx_0) | class_Groups_Oordered__ab__semigroup__add__imp__le(__eqy_0) )).
% 15.12/15.30 cnf(matrix-78, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-79, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-82, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__vector(__eqx_0) | class_RealVector_Oreal__normed__vector(__eqy_0) )).
% 15.12/15.30 cnf(matrix-83, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 15.12/15.30 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__div__algebra(__eqx_0) | class_RealVector_Oreal__normed__div__algebra(__eqy_0) )).
% 15.12/15.30 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ~class_RealVector_Oreal__normed__algebra__1(__eqx_0) | class_RealVector_Oreal__normed__algebra__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-86, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 15.12/15.30 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Deriv_Oderiv(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Deriv_Oderiv(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 15.12/15.30 cnf(matrix-89, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-90, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 15.12/15.30 cnf(matrix-91, plain, ( ( __eqx_0 != __eqy_0) | ~class_SEQ_Obanach(__eqx_0) | class_SEQ_Obanach(__eqy_0) )).
% 15.12/15.30 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 15.12/15.30 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 15.12/15.30 cnf(matrix-96, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 15.12/15.30 cnf(matrix-97, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 15.12/15.30 cnf(matrix-98, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 15.12/15.30 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-100, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 15.12/15.30 cnf(matrix-101, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 15.12/15.30 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-103, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 15.12/15.30 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 15.12/15.30 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 15.12/15.30 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 15.12/15.30 cnf(matrix-107, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 15.12/15.30 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 15.12/15.30 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 15.12/15.30 cnf(matrix-110, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 15.12/15.30 cnf(matrix-111, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_m____) )).
% 15.12/15.30 cnf(matrix-112, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.30 cnf(matrix-113, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_e) )).
% 15.12/15.30 cnf(matrix-114, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_da____) )).
% 15.12/15.30 cnf(matrix-115, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_da____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-116, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____), v_m____), v_e) )).
% 15.12/15.30 cnf(matrix-117, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.30 cnf(matrix-118, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_d____), v_m____)) )).
% 15.12/15.30 cnf(matrix-119, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.30 cnf(matrix-120, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u3), _u4) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u4), _u3)) )).
% 15.12/15.30 cnf(matrix-121, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u5), _u6)), _u7) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u5), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u6), _u7))) )).
% 15.12/15.30 cnf(matrix-122, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_d____) )).
% 15.12/15.30 cnf(matrix-123, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u8) | ( hAPP(c_Groups_Otimes__class_Otimes(_u8, _u9), _u9) = _u9) )).
% 15.12/15.30 cnf(matrix-124, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u10) | ( hAPP(c_Groups_Otimes__class_Otimes(_u10, _u11), _u11) = _u11) )).
% 15.12/15.30 cnf(matrix-125, plain, ( ~class_Rings_Ocomm__semiring__1(_u12) | ( hAPP(c_Groups_Otimes__class_Otimes(_u12, _u13), _u14) = hAPP(c_Groups_Otimes__class_Otimes(_u12, _u14), _u13)) )).
% 15.12/15.30 cnf(matrix-126, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u15) | ( hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), _u17)) = hAPP(c_Groups_Otimes__class_Otimes(_u15, _u16), _u17)) )).
% 15.12/15.30 cnf(matrix-127, plain, ( ~class_Rings_Ocomm__semiring__1(_u18) | ( hAPP(c_Groups_Otimes__class_Otimes(_u18, _u19), hAPP(c_Groups_Otimes__class_Otimes(_u18, _u20), _u21)) = hAPP(c_Groups_Otimes__class_Otimes(_u18, _u20), hAPP(c_Groups_Otimes__class_Otimes(_u18, _u19), _u21))) )).
% 15.12/15.30 cnf(matrix-128, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_d____, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-129, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-130, plain, ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-131, plain, ( ~class_Rings_Ocomm__semiring__1(_u22) | ( hAPP(c_Groups_Otimes__class_Otimes(_u22, _u23), c_Groups_Oone__class_Oone(_u22)) = _u23) )).
% 15.12/15.30 cnf(matrix-132, plain, ( ~class_Rings_Ocomm__semiring__1(_u24) | ( hAPP(c_Groups_Otimes__class_Otimes(_u24, c_Groups_Oone__class_Oone(_u24)), _u25) = _u25) )).
% 15.12/15.30 cnf(matrix-133, plain, ( ~class_Rings_Ocomm__semiring__1(_u26) | ( hAPP(c_Groups_Otimes__class_Otimes(_u26, _u27), c_Groups_Ozero__class_Ozero(_u26)) = c_Groups_Ozero__class_Ozero(_u26)) )).
% 15.12/15.30 cnf(matrix-134, plain, ( ~class_Rings_Ocomm__semiring__1(_u28) | ( hAPP(c_Groups_Otimes__class_Otimes(_u28, c_Groups_Ozero__class_Ozero(_u28)), _u29) = c_Groups_Ozero__class_Ozero(_u28)) )).
% 15.12/15.30 cnf(matrix-135, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)), _u30) = _u30) )).
% 15.12/15.30 cnf(matrix-136, plain, ( ( _u31 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u32) != hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u33)) | ( _u32 = _u33) )).
% 15.12/15.30 cnf(matrix-137, plain, ( ( _u31 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u32 != _u33) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u32) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u31), _u33)) )).
% 15.12/15.30 cnf(matrix-138, plain, ( ( _u34 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u35), _u34) != hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u36), _u34)) | ( _u35 = _u36) )).
% 15.12/15.30 cnf(matrix-139, plain, ( ( _u34 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u35 != _u36) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u35), _u34) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u36), _u34)) )).
% 15.12/15.30 cnf(matrix-140, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u37) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u38, _u39) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u37), _u38), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u37), _u39)) )).
% 15.12/15.30 cnf(matrix-141, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u40) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u40), _u41)) )).
% 15.12/15.30 cnf(matrix-142, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u42) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u43), _u42), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u44), _u42)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u43, _u44) )).
% 15.12/15.30 cnf(matrix-143, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u42) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u43, _u44) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u43), _u42), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u44), _u42)) )).
% 15.12/15.30 cnf(matrix-144, plain, ( ~class_Rings_Ocomm__semiring__1(_u45) | ( hAPP(c_Groups_Otimes__class_Otimes(_u45, hAPP(c_Groups_Otimes__class_Otimes(_u45, _u46), _u47)), hAPP(c_Groups_Otimes__class_Otimes(_u45, _u48), _u49)) = hAPP(c_Groups_Otimes__class_Otimes(_u45, hAPP(c_Groups_Otimes__class_Otimes(_u45, _u46), _u48)), hAPP(c_Groups_Otimes__class_Otimes(_u45, _u47), _u49))) )).
% 15.12/15.30 cnf(matrix-145, plain, ( ~class_Rings_Ocomm__semiring__1(_u50) | ( hAPP(c_Groups_Otimes__class_Otimes(_u50, hAPP(c_Groups_Otimes__class_Otimes(_u50, _u51), _u52)), hAPP(c_Groups_Otimes__class_Otimes(_u50, _u53), _u54)) = hAPP(c_Groups_Otimes__class_Otimes(_u50, _u53), hAPP(c_Groups_Otimes__class_Otimes(_u50, hAPP(c_Groups_Otimes__class_Otimes(_u50, _u51), _u52)), _u54))) )).
% 15.12/15.30 cnf(matrix-146, plain, ( ~class_Rings_Ocomm__semiring__1(_u55) | ( hAPP(c_Groups_Otimes__class_Otimes(_u55, hAPP(c_Groups_Otimes__class_Otimes(_u55, _u56), _u57)), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u58), _u59)) = hAPP(c_Groups_Otimes__class_Otimes(_u55, _u56), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u57), hAPP(c_Groups_Otimes__class_Otimes(_u55, _u58), _u59)))) )).
% 15.12/15.30 cnf(matrix-147, plain, ( ~class_Rings_Ocomm__semiring__1(_u60) | ( hAPP(c_Groups_Otimes__class_Otimes(_u60, hAPP(c_Groups_Otimes__class_Otimes(_u60, _u61), _u62)), _u63) = hAPP(c_Groups_Otimes__class_Otimes(_u60, hAPP(c_Groups_Otimes__class_Otimes(_u60, _u61), _u63)), _u62)) )).
% 15.12/15.30 cnf(matrix-148, plain, ( ~class_Rings_Ocomm__semiring__1(_u64) | ( hAPP(c_Groups_Otimes__class_Otimes(_u64, hAPP(c_Groups_Otimes__class_Otimes(_u64, _u65), _u66)), _u67) = hAPP(c_Groups_Otimes__class_Otimes(_u64, _u65), hAPP(c_Groups_Otimes__class_Otimes(_u64, _u66), _u67))) )).
% 15.12/15.30 cnf(matrix-149, plain, ( ~class_Rings_Ocomm__semiring__1(_u68) | ( hAPP(c_Groups_Otimes__class_Otimes(_u68, _u69), hAPP(c_Groups_Otimes__class_Otimes(_u68, _u70), _u71)) = hAPP(c_Groups_Otimes__class_Otimes(_u68, hAPP(c_Groups_Otimes__class_Otimes(_u68, _u69), _u70)), _u71)) )).
% 15.12/15.30 cnf(matrix-150, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem2) )).
% 15.12/15.30 cnf(matrix-151, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-152, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem2, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.30 cnf(matrix-153, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem3) )).
% 15.12/15.30 cnf(matrix-154, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-155, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, skolem3, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e, v_m____)) )).
% 15.12/15.30 cnf(matrix-156, plain, ( ~class_Fields_Olinordered__field(_u74) | ~c_Orderings_Oord__class_Oless(_u74, _u75, _u76) | ~c_Orderings_Oord__class_Oless(_u74, _u77, c_Groups_Ozero__class_Ozero(_u74)) | ~c_Orderings_Oord__class_Oless(_u74, c_Groups_Ozero__class_Ozero(_u74), hAPP(c_Groups_Otimes__class_Otimes(_u74, _u75), _u76)) | c_Orderings_Oord__class_Oless(_u74, c_Rings_Oinverse__class_Odivide(_u74, _u77, _u75), c_Rings_Oinverse__class_Odivide(_u74, _u77, _u76)) )).
% 15.12/15.30 cnf(matrix-157, plain, ( ~class_Fields_Olinordered__field(_u78) | ~c_Orderings_Oord__class_Oless(_u78, _u79, _u80) | ~c_Orderings_Oord__class_Oless(_u78, c_Groups_Ozero__class_Ozero(_u78), _u81) | ~c_Orderings_Oord__class_Oless(_u78, c_Groups_Ozero__class_Ozero(_u78), hAPP(c_Groups_Otimes__class_Otimes(_u78, _u80), _u79)) | c_Orderings_Oord__class_Oless(_u78, c_Rings_Oinverse__class_Odivide(_u78, _u81, _u80), c_Rings_Oinverse__class_Odivide(_u78, _u81, _u79)) )).
% 15.12/15.30 cnf(matrix-158, plain, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, c_Groups_Ozero__class_Ozero(_u82)) | ~c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u84, _u83), _u85) | c_Orderings_Oord__class_Oless(_u82, hAPP(c_Groups_Otimes__class_Otimes(_u82, _u85), _u83), _u84) )).
% 15.12/15.30 cnf(matrix-159, plain, ( ~class_Fields_Olinordered__field(_u82) | ~c_Orderings_Oord__class_Oless(_u82, _u83, c_Groups_Ozero__class_Ozero(_u82)) | ~c_Orderings_Oord__class_Oless(_u82, hAPP(c_Groups_Otimes__class_Otimes(_u82, _u85), _u83), _u84) | c_Orderings_Oord__class_Oless(_u82, c_Rings_Oinverse__class_Odivide(_u82, _u84, _u83), _u85) )).
% 15.12/15.30 cnf(matrix-160, 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_Rings_Oinverse__class_Odivide(_u86, _u89, _u87)) | c_Orderings_Oord__class_Oless(_u86, _u89, hAPP(c_Groups_Otimes__class_Otimes(_u86, _u88), _u87)) )).
% 15.12/15.30 cnf(matrix-161, 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, _u89, hAPP(c_Groups_Otimes__class_Otimes(_u86, _u88), _u87)) | c_Orderings_Oord__class_Oless(_u86, _u88, c_Rings_Oinverse__class_Odivide(_u86, _u89, _u87)) )).
% 15.12/15.30 cnf(matrix-162, plain, ( ~class_Fields_Olinordered__field(_u90) | ~c_Orderings_Oord__class_Oless(_u90, c_Groups_Ozero__class_Ozero(_u90), _u91) | ~c_Orderings_Oord__class_Oless(_u90, hAPP(c_Groups_Otimes__class_Otimes(_u90, _u92), _u91), _u93) | c_Orderings_Oord__class_Oless(_u90, _u92, c_Rings_Oinverse__class_Odivide(_u90, _u93, _u91)) )).
% 15.12/15.30 cnf(matrix-163, plain, ( ~class_Fields_Olinordered__field(_u94) | ~c_Orderings_Oord__class_Oless(_u94, c_Groups_Ozero__class_Ozero(_u94), _u95) | ~c_Orderings_Oord__class_Oless(_u94, _u96, hAPP(c_Groups_Otimes__class_Otimes(_u94, _u97), _u95)) | c_Orderings_Oord__class_Oless(_u94, c_Rings_Oinverse__class_Odivide(_u94, _u96, _u95), _u97) )).
% 15.12/15.30 cnf(matrix-164, plain, ( ~class_Fields_Olinordered__field(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u100, _u99), _u101) | c_Orderings_Oord__class_Oless(_u98, _u100, hAPP(c_Groups_Otimes__class_Otimes(_u98, _u101), _u99)) )).
% 15.12/15.30 cnf(matrix-165, plain, ( ~class_Fields_Olinordered__field(_u98) | ~c_Orderings_Oord__class_Oless(_u98, c_Groups_Ozero__class_Ozero(_u98), _u99) | ~c_Orderings_Oord__class_Oless(_u98, _u100, hAPP(c_Groups_Otimes__class_Otimes(_u98, _u101), _u99)) | c_Orderings_Oord__class_Oless(_u98, c_Rings_Oinverse__class_Odivide(_u98, _u100, _u99), _u101) )).
% 15.12/15.30 cnf(matrix-166, plain, ( ~class_Fields_Olinordered__field(_u102) | ~c_Orderings_Oord__class_Oless(_u102, c_Groups_Ozero__class_Ozero(_u102), _u103) | ~c_Orderings_Oord__class_Oless(_u102, _u104, c_Rings_Oinverse__class_Odivide(_u102, _u105, _u103)) | c_Orderings_Oord__class_Oless(_u102, hAPP(c_Groups_Otimes__class_Otimes(_u102, _u104), _u103), _u105) )).
% 15.12/15.30 cnf(matrix-167, plain, ( ~class_Fields_Olinordered__field(_u102) | ~c_Orderings_Oord__class_Oless(_u102, c_Groups_Ozero__class_Ozero(_u102), _u103) | ~c_Orderings_Oord__class_Oless(_u102, hAPP(c_Groups_Otimes__class_Otimes(_u102, _u104), _u103), _u105) | c_Orderings_Oord__class_Oless(_u102, _u104, c_Rings_Oinverse__class_Odivide(_u102, _u105, _u103)) )).
% 15.12/15.30 cnf(matrix-168, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) )).
% 15.12/15.30 cnf(matrix-169, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) )).
% 15.12/15.30 cnf(matrix-170, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | ~c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.30 cnf(matrix-171, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.30 cnf(matrix-172, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.12/15.30 cnf(matrix-173, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.30 cnf(matrix-174, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u108) )).
% 15.12/15.30 cnf(matrix-175, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.30 cnf(matrix-176, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, _u108, c_Groups_Ozero__class_Ozero(_u106)) )).
% 15.12/15.30 cnf(matrix-177, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u106) | c_Orderings_Oord__class_Oless(_u106, c_Rings_Oinverse__class_Odivide(_u106, _u107, _u108), _u109) | ~c_Orderings_Oord__class_Oless(_u106, _u107, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108)) | ~c_Orderings_Oord__class_Oless(_u106, hAPP(c_Groups_Otimes__class_Otimes(_u106, _u109), _u108), _u107) | ~c_Orderings_Oord__class_Oless(_u106, c_Groups_Ozero__class_Ozero(_u106), _u109) )).
% 15.12/15.30 cnf(matrix-178, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) )).
% 15.12/15.30 cnf(matrix-179, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) )).
% 15.12/15.30 cnf(matrix-180, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-181, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-182, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-183, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-184, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, c_Groups_Ozero__class_Ozero(_u110), _u113) )).
% 15.12/15.30 cnf(matrix-185, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-186, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u113, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-187, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u110) | c_Orderings_Oord__class_Oless(_u110, _u111, c_Rings_Oinverse__class_Odivide(_u110, _u112, _u113)) | ~c_Orderings_Oord__class_Oless(_u110, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113), _u112) | ~c_Orderings_Oord__class_Oless(_u110, _u112, hAPP(c_Groups_Otimes__class_Otimes(_u110, _u111), _u113)) | ~c_Orderings_Oord__class_Oless(_u110, _u111, c_Groups_Ozero__class_Ozero(_u110)) )).
% 15.12/15.30 cnf(matrix-188, plain, ( ~class_Fields_Ofield__inverse__zero(_u114) | ( hAPP(c_Groups_Otimes__class_Otimes(_u114, c_Rings_Oinverse__class_Odivide(_u114, _u115, _u116)), c_Rings_Oinverse__class_Odivide(_u114, _u117, _u118)) = c_Rings_Oinverse__class_Odivide(_u114, hAPP(c_Groups_Otimes__class_Otimes(_u114, _u115), _u117), hAPP(c_Groups_Otimes__class_Otimes(_u114, _u116), _u118))) )).
% 15.12/15.30 cnf(matrix-189, plain, ( ~class_Fields_Olinordered__field(_u119) | ~c_Orderings_Oord__class_Oless(_u119, _u120, _u121) | ~c_Orderings_Oord__class_Oless(_u119, _u122, c_Groups_Ozero__class_Ozero(_u119)) | c_Orderings_Oord__class_Oless(_u119, c_Rings_Oinverse__class_Odivide(_u119, _u121, _u122), c_Rings_Oinverse__class_Odivide(_u119, _u120, _u122)) )).
% 15.12/15.30 cnf(matrix-190, plain, ( ~class_Fields_Olinordered__field(_u123) | ~c_Orderings_Oord__class_Oless(_u123, _u124, _u125) | ~c_Orderings_Oord__class_Oless(_u123, c_Groups_Ozero__class_Ozero(_u123), _u126) | c_Orderings_Oord__class_Oless(_u123, c_Rings_Oinverse__class_Odivide(_u123, _u124, _u126), c_Rings_Oinverse__class_Odivide(_u123, _u125, _u126)) )).
% 15.12/15.30 cnf(matrix-191, plain, ( ~class_Fields_Olinordered__field(_u127) | ~c_Orderings_Oord__class_Oless(_u127, _u128, c_Groups_Ozero__class_Ozero(_u127)) | ~c_Orderings_Oord__class_Oless(_u127, _u129, c_Groups_Ozero__class_Ozero(_u127)) | c_Orderings_Oord__class_Oless(_u127, c_Groups_Ozero__class_Ozero(_u127), c_Rings_Oinverse__class_Odivide(_u127, _u128, _u129)) )).
% 15.12/15.30 cnf(matrix-192, plain, ( ~class_Fields_Olinordered__field(_u130) | ~c_Orderings_Oord__class_Oless(_u130, _u131, c_Groups_Ozero__class_Ozero(_u130)) | ~c_Orderings_Oord__class_Oless(_u130, c_Groups_Ozero__class_Ozero(_u130), _u132) | c_Orderings_Oord__class_Oless(_u130, c_Rings_Oinverse__class_Odivide(_u130, _u131, _u132), c_Groups_Ozero__class_Ozero(_u130)) )).
% 15.12/15.30 cnf(matrix-193, plain, ( ~class_Fields_Olinordered__field(_u133) | ~c_Orderings_Oord__class_Oless(_u133, c_Groups_Ozero__class_Ozero(_u133), _u134) | ~c_Orderings_Oord__class_Oless(_u133, _u135, c_Groups_Ozero__class_Ozero(_u133)) | c_Orderings_Oord__class_Oless(_u133, c_Rings_Oinverse__class_Odivide(_u133, _u134, _u135), c_Groups_Ozero__class_Ozero(_u133)) )).
% 15.12/15.30 cnf(matrix-194, plain, ( ~class_Fields_Olinordered__field(_u136) | ~c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), _u137) | ~c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), _u138) | c_Orderings_Oord__class_Oless(_u136, c_Groups_Ozero__class_Ozero(_u136), c_Rings_Oinverse__class_Odivide(_u136, _u137, _u138)) )).
% 15.12/15.30 cnf(matrix-195, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.30 cnf(matrix-196, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.30 cnf(matrix-197, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.30 cnf(matrix-198, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | ~c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) | c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.30 cnf(matrix-199, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u140) | ~c_Orderings_Oord__class_Oless(_u139, _u141, c_Groups_Ozero__class_Ozero(_u139)) )).
% 15.12/15.30 cnf(matrix-200, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u139) | c_Orderings_Oord__class_Oless(_u139, c_Rings_Oinverse__class_Odivide(_u139, _u140, _u141), c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, _u140, c_Groups_Ozero__class_Ozero(_u139)) | ~c_Orderings_Oord__class_Oless(_u139, c_Groups_Ozero__class_Ozero(_u139), _u141) )).
% 15.12/15.30 cnf(matrix-201, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.30 cnf(matrix-202, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.30 cnf(matrix-203, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) | c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.30 cnf(matrix-204, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) | c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.30 cnf(matrix-205, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u143) | ~c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), _u144) )).
% 15.12/15.30 cnf(matrix-206, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u142) | c_Orderings_Oord__class_Oless(_u142, c_Groups_Ozero__class_Ozero(_u142), c_Rings_Oinverse__class_Odivide(_u142, _u143, _u144)) | ~c_Orderings_Oord__class_Oless(_u142, _u143, c_Groups_Ozero__class_Ozero(_u142)) | ~c_Orderings_Oord__class_Oless(_u142, _u144, c_Groups_Ozero__class_Ozero(_u142)) )).
% 15.12/15.30 cnf(matrix-207, plain, ( ~class_Fields_Ofield(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 = c_Groups_Ozero__class_Ozero(_u145)) | ( c_Rings_Oinverse__class_Odivide(_u145, _u148, _u146) != c_Rings_Oinverse__class_Odivide(_u145, _u149, _u147)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u145, _u148), _u147) = hAPP(c_Groups_Otimes__class_Otimes(_u145, _u149), _u146)) )).
% 15.12/15.30 cnf(matrix-208, plain, ( ~class_Fields_Ofield(_u145) | ( _u146 = c_Groups_Ozero__class_Ozero(_u145)) | ( _u147 = c_Groups_Ozero__class_Ozero(_u145)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u145, _u148), _u147) != hAPP(c_Groups_Otimes__class_Otimes(_u145, _u149), _u146)) | ( c_Rings_Oinverse__class_Odivide(_u145, _u148, _u146) = c_Rings_Oinverse__class_Odivide(_u145, _u149, _u147)) )).
% 15.12/15.30 cnf(matrix-209, plain, ( ~class_Fields_Ofield__inverse__zero(_u150) | ( _u151 = c_Groups_Ozero__class_Ozero(_u150)) | ( c_Rings_Oinverse__class_Odivide(_u150, hAPP(c_Groups_Otimes__class_Otimes(_u150, _u151), _u152), hAPP(c_Groups_Otimes__class_Otimes(_u150, _u151), _u153)) = c_Rings_Oinverse__class_Odivide(_u150, _u152, _u153)) )).
% 15.12/15.30 cnf(matrix-210, plain, ( ~class_Fields_Ofield__inverse__zero(_u154) | ( _u155 = c_Groups_Ozero__class_Ozero(_u154)) | ( c_Rings_Oinverse__class_Odivide(_u154, hAPP(c_Groups_Otimes__class_Otimes(_u154, _u156), _u155), hAPP(c_Groups_Otimes__class_Otimes(_u154, _u157), _u155)) = c_Rings_Oinverse__class_Odivide(_u154, _u156, _u157)) )).
% 15.12/15.30 cnf(matrix-211, plain, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) != _u161) | ( _u160 = c_Groups_Ozero__class_Ozero(_u158)) | ( _u159 = hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) )).
% 15.12/15.30 cnf(matrix-212, plain, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) != _u161) | ( _u160 != c_Groups_Ozero__class_Ozero(_u158)) | ( _u161 = c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(matrix-213, plain, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u160 != c_Groups_Ozero__class_Ozero(_u158)) | ( _u161 != c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(matrix-214, plain, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u159 != hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) | ( _u160 = c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(matrix-215, plain, ( ~class_Fields_Ofield__inverse__zero(_u158) | ( c_Rings_Oinverse__class_Odivide(_u158, _u159, _u160) = _u161) | ( _u159 != hAPP(c_Groups_Otimes__class_Otimes(_u158, _u161), _u160)) | ( _u161 != c_Groups_Ozero__class_Ozero(_u158)) )).
% 15.12/15.30 cnf(matrix-216, plain, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 != c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 = c_Groups_Ozero__class_Ozero(_u162)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) = _u164) )).
% 15.12/15.30 cnf(matrix-217, plain, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 != c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 != c_Groups_Ozero__class_Ozero(_u162)) | ( _u163 = c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.30 cnf(matrix-218, plain, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( _u165 != c_Groups_Ozero__class_Ozero(_u162)) | ( _u163 != c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.30 cnf(matrix-219, plain, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) != _u164) | ( _u165 = c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.30 cnf(matrix-220, plain, ( ~class_Fields_Ofield__inverse__zero(_u162) | ( _u163 = c_Rings_Oinverse__class_Odivide(_u162, _u164, _u165)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u162, _u163), _u165) != _u164) | ( _u163 != c_Groups_Ozero__class_Ozero(_u162)) )).
% 15.12/15.30 cnf(matrix-221, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u167), _u167)) | ( _u167 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-222, plain, ( ( _u168 != 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(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u168), _u168)) )).
% 15.12/15.30 cnf(matrix-223, plain, ( ~class_Rings_Odivision__ring(_u169) | ( _u170 = c_Groups_Ozero__class_Ozero(_u169)) | ( c_Rings_Oinverse__class_Odivide(_u169, _u171, _u170) != c_Groups_Oone__class_Oone(_u169)) | ( _u171 = _u170) )).
% 15.12/15.30 cnf(matrix-224, plain, ( ~class_Rings_Odivision__ring(_u169) | ( _u170 = c_Groups_Ozero__class_Ozero(_u169)) | ( _u171 != _u170) | ( c_Rings_Oinverse__class_Odivide(_u169, _u171, _u170) = c_Groups_Oone__class_Oone(_u169)) )).
% 15.12/15.30 cnf(matrix-225, plain, ( ~class_Rings_Odivision__ring(_u172) | ( _u173 = c_Groups_Ozero__class_Ozero(_u172)) | ( c_Rings_Oinverse__class_Odivide(_u172, _u173, _u173) = c_Groups_Oone__class_Oone(_u172)) )).
% 15.12/15.30 cnf(matrix-226, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u174) | ( _u175 != c_Groups_Ozero__class_Ozero(_u174)) | ( c_Rings_Oinverse__class_Odivide(_u174, _u175, _u175) = c_Groups_Ozero__class_Ozero(_u174)) )).
% 15.12/15.30 cnf(matrix-227, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u174) | ( _u175 = c_Groups_Ozero__class_Ozero(_u174)) | ( c_Rings_Oinverse__class_Odivide(_u174, _u175, _u175) = c_Groups_Oone__class_Oone(_u174)) )).
% 15.12/15.30 cnf(matrix-228, plain, ( ~class_Rings_Odivision__ring(_u176) | ( _u177 = c_Groups_Ozero__class_Ozero(_u176)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u176, _u178), _u177) != _u179) | ( _u178 = c_Rings_Oinverse__class_Odivide(_u176, _u179, _u177)) )).
% 15.12/15.30 cnf(matrix-229, plain, ( ~class_Rings_Odivision__ring(_u180) | ( _u181 = c_Groups_Ozero__class_Ozero(_u180)) | ( _u182 != hAPP(c_Groups_Otimes__class_Otimes(_u180, _u183), _u181)) | ( c_Rings_Oinverse__class_Odivide(_u180, _u182, _u181) = _u183) )).
% 15.12/15.30 cnf(matrix-230, plain, ( ~class_Rings_Odivision__ring(_u184) | ( _u185 = c_Groups_Ozero__class_Ozero(_u184)) | ( c_Rings_Oinverse__class_Odivide(_u184, _u186, _u185) != _u187) | ( _u186 = hAPP(c_Groups_Otimes__class_Otimes(_u184, _u187), _u185)) )).
% 15.12/15.30 cnf(matrix-231, plain, ( ~class_Rings_Odivision__ring(_u184) | ( _u185 = c_Groups_Ozero__class_Ozero(_u184)) | ( _u186 != hAPP(c_Groups_Otimes__class_Otimes(_u184, _u187), _u185)) | ( c_Rings_Oinverse__class_Odivide(_u184, _u186, _u185) = _u187) )).
% 15.12/15.30 cnf(matrix-232, plain, ( ~class_Rings_Odivision__ring(_u188) | ( _u189 = c_Groups_Ozero__class_Ozero(_u188)) | ( _u190 != c_Rings_Oinverse__class_Odivide(_u188, _u191, _u189)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u188, _u190), _u189) = _u191) )).
% 15.12/15.30 cnf(matrix-233, plain, ( ~class_Rings_Odivision__ring(_u188) | ( _u189 = c_Groups_Ozero__class_Ozero(_u188)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u188, _u190), _u189) != _u191) | ( _u190 = c_Rings_Oinverse__class_Odivide(_u188, _u191, _u189)) )).
% 15.12/15.30 cnf(matrix-234, plain, ( ~class_Rings_Olinordered__semidom(_u192) | ~c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), _u193) | ~c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), _u194) | c_Orderings_Oord__class_Oless(_u192, c_Groups_Oone__class_Oone(_u192), hAPP(c_Groups_Otimes__class_Otimes(_u192, _u193), _u194)) )).
% 15.12/15.30 cnf(matrix-235, plain, ( ~class_Rings_Olinordered__semidom(_u195) | c_Orderings_Oord__class_Oless(_u195, c_Groups_Ozero__class_Ozero(_u195), c_Groups_Oone__class_Oone(_u195)) )).
% 15.12/15.30 cnf(matrix-236, plain, ( ~class_Rings_Olinordered__semidom(_u196) | ~c_Orderings_Oord__class_Oless(_u196, c_Groups_Oone__class_Oone(_u196), c_Groups_Ozero__class_Ozero(_u196)) )).
% 15.12/15.30 cnf(matrix-237, plain, ( ~class_Rings_Olinordered__idom(_u197) | ( _u198 = _u199) | c_Orderings_Oord__class_Oless(_u197, _u198, _u199) | c_Orderings_Oord__class_Oless(_u197, _u199, _u198) )).
% 15.12/15.30 cnf(matrix-238, plain, ( ~class_Rings_Ono__zero__divisors(_u200) | ( hAPP(c_Groups_Otimes__class_Otimes(_u200, _u201), _u202) != c_Groups_Ozero__class_Ozero(_u200)) | ( _u201 = c_Groups_Ozero__class_Ozero(_u200)) | ( _u202 = c_Groups_Ozero__class_Ozero(_u200)) )).
% 15.12/15.30 cnf(matrix-239, plain, ( ~class_Rings_Ono__zero__divisors(_u203) | ( _u204 = c_Groups_Ozero__class_Ozero(_u203)) | ( _u205 = c_Groups_Ozero__class_Ozero(_u203)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u203, _u204), _u205) != c_Groups_Ozero__class_Ozero(_u203)) )).
% 15.12/15.30 cnf(matrix-240, plain, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) != c_Groups_Ozero__class_Ozero(_u206)) | ( _u207 = c_Groups_Ozero__class_Ozero(_u206)) | ( _u208 = c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.30 cnf(matrix-241, plain, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) = c_Groups_Ozero__class_Ozero(_u206)) | ( _u207 != c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.30 cnf(matrix-242, plain, ( ~class_Rings_Oring__no__zero__divisors(_u206) | ( hAPP(c_Groups_Otimes__class_Otimes(_u206, _u207), _u208) = c_Groups_Ozero__class_Ozero(_u206)) | ( _u208 != c_Groups_Ozero__class_Ozero(_u206)) )).
% 15.12/15.30 cnf(matrix-243, plain, ( ~class_Rings_Omult__zero(_u209) | ( hAPP(c_Groups_Otimes__class_Otimes(_u209, _u210), c_Groups_Ozero__class_Ozero(_u209)) = c_Groups_Ozero__class_Ozero(_u209)) )).
% 15.12/15.30 cnf(matrix-244, plain, ( ~class_Rings_Omult__zero(_u211) | ( hAPP(c_Groups_Otimes__class_Otimes(_u211, c_Groups_Ozero__class_Ozero(_u211)), _u212) = c_Groups_Ozero__class_Ozero(_u211)) )).
% 15.12/15.30 cnf(matrix-245, plain, ( ~class_Rings_Ozero__neq__one(_u213) | ( c_Groups_Oone__class_Oone(_u213) != c_Groups_Ozero__class_Ozero(_u213)) )).
% 15.12/15.30 cnf(matrix-246, plain, ( ~class_Rings_Ozero__neq__one(_u214) | ( c_Groups_Ozero__class_Ozero(_u214) != c_Groups_Oone__class_Oone(_u214)) )).
% 15.12/15.30 cnf(matrix-247, plain, ( ~class_Rings_Odivision__ring(_u215) | ( c_Rings_Oinverse__class_Odivide(_u215, c_Groups_Ozero__class_Ozero(_u215), _u216) = c_Groups_Ozero__class_Ozero(_u215)) )).
% 15.12/15.30 cnf(matrix-248, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u217) | ( c_Rings_Oinverse__class_Odivide(_u217, _u218, c_Groups_Ozero__class_Ozero(_u217)) = c_Groups_Ozero__class_Ozero(_u217)) )).
% 15.12/15.30 cnf(matrix-249, plain, ( ~class_Rings_Odivision__ring(_u219) | ( hAPP(c_Groups_Otimes__class_Otimes(_u219, _u220), c_Rings_Oinverse__class_Odivide(_u219, _u221, _u222)) = c_Rings_Oinverse__class_Odivide(_u219, hAPP(c_Groups_Otimes__class_Otimes(_u219, _u220), _u221), _u222)) )).
% 15.12/15.30 cnf(matrix-250, plain, ( ~class_Rings_Odivision__ring(_u223) | ( c_Rings_Oinverse__class_Odivide(_u223, _u224, c_Groups_Oone__class_Oone(_u223)) = _u224) )).
% 15.12/15.30 cnf(matrix-251, plain, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u225), _u226), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u225), _u225)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u226, _u225)) )).
% 15.12/15.30 cnf(matrix-252, plain, ( ~class_Rings_Olinordered__ring__strict(_u227) | ~c_Orderings_Oord__class_Oless(_u227, _u228, _u229) | ~c_Orderings_Oord__class_Oless(_u227, _u230, c_Groups_Ozero__class_Ozero(_u227)) | c_Orderings_Oord__class_Oless(_u227, hAPP(c_Groups_Otimes__class_Otimes(_u227, _u230), _u229), hAPP(c_Groups_Otimes__class_Otimes(_u227, _u230), _u228)) )).
% 15.12/15.30 cnf(matrix-253, plain, ( ~class_Rings_Olinordered__ring__strict(_u231) | ~c_Orderings_Oord__class_Oless(_u231, _u232, _u233) | ~c_Orderings_Oord__class_Oless(_u231, _u234, c_Groups_Ozero__class_Ozero(_u231)) | c_Orderings_Oord__class_Oless(_u231, hAPP(c_Groups_Otimes__class_Otimes(_u231, _u233), _u234), hAPP(c_Groups_Otimes__class_Otimes(_u231, _u232), _u234)) )).
% 15.12/15.30 cnf(matrix-254, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u235) | ~c_Orderings_Oord__class_Oless(_u235, _u236, _u237) | ~c_Orderings_Oord__class_Oless(_u235, c_Groups_Ozero__class_Ozero(_u235), _u238) | c_Orderings_Oord__class_Oless(_u235, hAPP(c_Groups_Otimes__class_Otimes(_u235, _u238), _u236), hAPP(c_Groups_Otimes__class_Otimes(_u235, _u238), _u237)) )).
% 15.12/15.30 cnf(matrix-255, plain, ( ~class_Rings_Olinordered__semiring__strict(_u239) | ~c_Orderings_Oord__class_Oless(_u239, _u240, _u241) | ~c_Orderings_Oord__class_Oless(_u239, c_Groups_Ozero__class_Ozero(_u239), _u242) | c_Orderings_Oord__class_Oless(_u239, hAPP(c_Groups_Otimes__class_Otimes(_u239, _u242), _u240), hAPP(c_Groups_Otimes__class_Otimes(_u239, _u242), _u241)) )).
% 15.12/15.30 cnf(matrix-256, plain, ( ~class_Rings_Olinordered__semiring__strict(_u243) | ~c_Orderings_Oord__class_Oless(_u243, _u244, _u245) | ~c_Orderings_Oord__class_Oless(_u243, c_Groups_Ozero__class_Ozero(_u243), _u246) | c_Orderings_Oord__class_Oless(_u243, hAPP(c_Groups_Otimes__class_Otimes(_u243, _u244), _u246), hAPP(c_Groups_Otimes__class_Otimes(_u243, _u245), _u246)) )).
% 15.12/15.30 cnf(matrix-257, plain, ( ~class_Rings_Olinordered__ring__strict(_u247) | ~c_Orderings_Oord__class_Oless(_u247, _u248, c_Groups_Ozero__class_Ozero(_u247)) | ~c_Orderings_Oord__class_Oless(_u247, _u249, c_Groups_Ozero__class_Ozero(_u247)) | c_Orderings_Oord__class_Oless(_u247, c_Groups_Ozero__class_Ozero(_u247), hAPP(c_Groups_Otimes__class_Otimes(_u247, _u248), _u249)) )).
% 15.12/15.30 cnf(matrix-258, plain, ( ~class_Rings_Olinordered__semiring__strict(_u250) | ~c_Orderings_Oord__class_Oless(_u250, _u251, c_Groups_Ozero__class_Ozero(_u250)) | ~c_Orderings_Oord__class_Oless(_u250, c_Groups_Ozero__class_Ozero(_u250), _u252) | c_Orderings_Oord__class_Oless(_u250, hAPP(c_Groups_Otimes__class_Otimes(_u250, _u251), _u252), c_Groups_Ozero__class_Ozero(_u250)) )).
% 15.12/15.30 cnf(matrix-259, plain, ( ~class_Rings_Olinordered__ring__strict(_u253) | ~c_Orderings_Oord__class_Oless(_u253, _u254, c_Groups_Ozero__class_Ozero(_u253)) | ~c_Orderings_Oord__class_Oless(_u253, hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u255), hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u256)) | c_Orderings_Oord__class_Oless(_u253, _u256, _u255) )).
% 15.12/15.30 cnf(matrix-260, plain, ( ~class_Rings_Olinordered__ring__strict(_u253) | ~c_Orderings_Oord__class_Oless(_u253, _u254, c_Groups_Ozero__class_Ozero(_u253)) | ~c_Orderings_Oord__class_Oless(_u253, _u256, _u255) | c_Orderings_Oord__class_Oless(_u253, hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u255), hAPP(c_Groups_Otimes__class_Otimes(_u253, _u254), _u256)) )).
% 15.12/15.30 cnf(matrix-261, plain, ( ~class_Rings_Olinordered__semiring__strict(_u257) | ~c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), hAPP(c_Groups_Otimes__class_Otimes(_u257, _u258), _u259)) | ~c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), _u259) | c_Orderings_Oord__class_Oless(_u257, c_Groups_Ozero__class_Ozero(_u257), _u258) )).
% 15.12/15.30 cnf(matrix-262, plain, ( ~class_Rings_Olinordered__semiring__strict(_u260) | ~c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), hAPP(c_Groups_Otimes__class_Otimes(_u260, _u261), _u262)) | ~c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), _u261) | c_Orderings_Oord__class_Oless(_u260, c_Groups_Ozero__class_Ozero(_u260), _u262) )).
% 15.12/15.30 cnf(matrix-263, plain, ( ~class_Rings_Olinordered__semiring__strict(_u263) | ~c_Orderings_Oord__class_Oless(_u263, c_Groups_Ozero__class_Ozero(_u263), _u264) | ~c_Orderings_Oord__class_Oless(_u263, _u265, c_Groups_Ozero__class_Ozero(_u263)) | c_Orderings_Oord__class_Oless(_u263, hAPP(c_Groups_Otimes__class_Otimes(_u263, _u265), _u264), c_Groups_Ozero__class_Ozero(_u263)) )).
% 15.12/15.30 cnf(matrix-264, plain, ( ~class_Rings_Olinordered__semiring__strict(_u266) | ~c_Orderings_Oord__class_Oless(_u266, c_Groups_Ozero__class_Ozero(_u266), _u267) | ~c_Orderings_Oord__class_Oless(_u266, _u268, c_Groups_Ozero__class_Ozero(_u266)) | c_Orderings_Oord__class_Oless(_u266, hAPP(c_Groups_Otimes__class_Otimes(_u266, _u267), _u268), c_Groups_Ozero__class_Ozero(_u266)) )).
% 15.12/15.30 cnf(matrix-265, plain, ( ~class_Rings_Olinordered__semiring__strict(_u269) | ~c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), _u270) | ~c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), _u271) | c_Orderings_Oord__class_Oless(_u269, c_Groups_Ozero__class_Ozero(_u269), hAPP(c_Groups_Otimes__class_Otimes(_u269, _u270), _u271)) )).
% 15.12/15.30 cnf(matrix-266, plain, ( ~class_Rings_Olinordered__ring__strict(_u272) | ~c_Orderings_Oord__class_Oless(_u272, c_Groups_Ozero__class_Ozero(_u272), _u273) | ~c_Orderings_Oord__class_Oless(_u272, hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u274), hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u275)) | c_Orderings_Oord__class_Oless(_u272, _u274, _u275) )).
% 15.12/15.30 cnf(matrix-267, plain, ( ~class_Rings_Olinordered__ring__strict(_u272) | ~c_Orderings_Oord__class_Oless(_u272, c_Groups_Ozero__class_Ozero(_u272), _u273) | ~c_Orderings_Oord__class_Oless(_u272, _u274, _u275) | c_Orderings_Oord__class_Oless(_u272, hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u274), hAPP(c_Groups_Otimes__class_Otimes(_u272, _u273), _u275)) )).
% 15.12/15.30 cnf(matrix-268, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) )).
% 15.12/15.30 cnf(matrix-269, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.30 cnf(matrix-270, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, _u278, _u279) | c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) )).
% 15.12/15.30 cnf(matrix-271, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | ~c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | c_Orderings_Oord__class_Oless(_u276, _u278, _u279) | c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.30 cnf(matrix-272, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | ~c_Orderings_Oord__class_Oless(_u276, c_Groups_Ozero__class_Ozero(_u276), _u277) | ~c_Orderings_Oord__class_Oless(_u276, _u278, _u279) )).
% 15.12/15.30 cnf(matrix-273, plain, ( ~class_Rings_Olinordered__ring__strict(_u276) | c_Orderings_Oord__class_Oless(_u276, hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u278), hAPP(c_Groups_Otimes__class_Otimes(_u276, _u277), _u279)) | ~c_Orderings_Oord__class_Oless(_u276, _u277, c_Groups_Ozero__class_Ozero(_u276)) | ~c_Orderings_Oord__class_Oless(_u276, _u279, _u278) )).
% 15.12/15.30 cnf(matrix-274, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) )).
% 15.12/15.30 cnf(matrix-275, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.30 cnf(matrix-276, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, _u281, _u283) | c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) )).
% 15.12/15.30 cnf(matrix-277, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | ~c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | c_Orderings_Oord__class_Oless(_u280, _u281, _u283) | c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.30 cnf(matrix-278, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | ~c_Orderings_Oord__class_Oless(_u280, c_Groups_Ozero__class_Ozero(_u280), _u282) | ~c_Orderings_Oord__class_Oless(_u280, _u281, _u283) )).
% 15.12/15.30 cnf(matrix-279, plain, ( ~class_Rings_Olinordered__ring__strict(_u280) | c_Orderings_Oord__class_Oless(_u280, hAPP(c_Groups_Otimes__class_Otimes(_u280, _u281), _u282), hAPP(c_Groups_Otimes__class_Otimes(_u280, _u283), _u282)) | ~c_Orderings_Oord__class_Oless(_u280, _u282, c_Groups_Ozero__class_Ozero(_u280)) | ~c_Orderings_Oord__class_Oless(_u280, _u283, _u281) )).
% 15.12/15.30 cnf(matrix-280, plain, ( ~class_Rings_Olinordered__ring(_u284) | ~c_Orderings_Oord__class_Oless(_u284, hAPP(c_Groups_Otimes__class_Otimes(_u284, _u285), _u285), c_Groups_Ozero__class_Ozero(_u284)) )).
% 15.12/15.30 cnf(matrix-281, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), v_da____) )).
% 15.12/15.30 cnf(matrix-282, plain, ( ~class_RealVector_Oreal__normed__field(_u286) | ( c_Rings_Oinverse__class_Odivide(_u286, c_Groups_Ozero__class_Ozero(_u286), _u287) = c_Groups_Ozero__class_Ozero(_u286)) )).
% 15.12/15.30 cnf(matrix-283, plain, ( ~class_Groups_Ocomm__monoid__mult(_u288) | ( hAPP(c_Groups_Otimes__class_Otimes(_u288, _u289), c_Groups_Oone__class_Oone(_u288)) = _u289) )).
% 15.12/15.30 cnf(matrix-284, plain, ( ~class_Groups_Omonoid__mult(_u290) | ( hAPP(c_Groups_Otimes__class_Otimes(_u290, _u291), c_Groups_Oone__class_Oone(_u290)) = _u291) )).
% 15.12/15.30 cnf(matrix-285, plain, ( ~class_Groups_Ocomm__monoid__mult(_u292) | ( hAPP(c_Groups_Otimes__class_Otimes(_u292, c_Groups_Oone__class_Oone(_u292)), _u293) = _u293) )).
% 15.12/15.30 cnf(matrix-286, plain, ( ~class_Groups_Omonoid__mult(_u294) | ( hAPP(c_Groups_Otimes__class_Otimes(_u294, c_Groups_Oone__class_Oone(_u294)), _u295) = _u295) )).
% 15.12/15.30 cnf(matrix-287, plain, ( ~class_RealVector_Oreal__normed__algebra(_u296) | ( hAPP(c_Groups_Otimes__class_Otimes(_u296, _u297), c_Groups_Ozero__class_Ozero(_u296)) = c_Groups_Ozero__class_Ozero(_u296)) )).
% 15.12/15.30 cnf(matrix-288, plain, ( ~class_RealVector_Oreal__normed__algebra(_u298) | ( hAPP(c_Groups_Otimes__class_Otimes(_u298, _u299), c_Groups_Ozero__class_Ozero(_u298)) = c_Groups_Ozero__class_Ozero(_u298)) )).
% 15.12/15.30 cnf(matrix-289, plain, ( ~class_RealVector_Oreal__normed__algebra(_u300) | ( hAPP(c_Groups_Otimes__class_Otimes(_u300, c_Groups_Ozero__class_Ozero(_u300)), _u301) = c_Groups_Ozero__class_Ozero(_u300)) )).
% 15.12/15.30 cnf(matrix-290, plain, ( ~class_RealVector_Oreal__normed__algebra(_u302) | ( hAPP(c_Groups_Otimes__class_Otimes(_u302, c_Groups_Ozero__class_Ozero(_u302)), _u303) = c_Groups_Ozero__class_Ozero(_u302)) )).
% 15.12/15.30 cnf(matrix-291, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u304, _u304) )).
% 15.12/15.30 cnf(matrix-292, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u305, _u306) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u306, _u305) )).
% 15.12/15.30 cnf(matrix-293, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u307, _u308) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u308, _u309) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u307, _u309) )).
% 15.12/15.30 cnf(matrix-294, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u310, _u311) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u311, _u310) | ( _u310 = _u311) )).
% 15.12/15.30 cnf(matrix-295, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u314, _u316) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u314, _u316) )).
% 15.12/15.30 cnf(matrix-296, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u314, _u316) | ( _u314 != _u316) )).
% 15.12/15.30 cnf(matrix-297, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u315, _u317) | ( _u315 = _u317) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u315, _u317) )).
% 15.12/15.30 cnf(matrix-298, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u320, _u322) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u320, _u322) | ( _u320 = _u322) )).
% 15.12/15.30 cnf(matrix-299, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u321, _u323) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u321, _u323) )).
% 15.12/15.30 cnf(matrix-300, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u321, _u323) | ( _u321 != _u323) )).
% 15.12/15.30 cnf(matrix-301, plain, ( ~class_Rings_Oordered__cancel__semiring(_u324) | c_Orderings_Oord__class_Oless__eq(_u324, hAPP(c_Groups_Otimes__class_Otimes(_u324, _u325), _u326), c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, c_Groups_Ozero__class_Ozero(_u324), _u325) | ~c_Orderings_Oord__class_Oless__eq(_u324, _u326, c_Groups_Ozero__class_Ozero(_u324)) )).
% 15.12/15.30 cnf(matrix-302, plain, ( ~class_Rings_Oordered__cancel__semiring(_u324) | c_Orderings_Oord__class_Oless__eq(_u324, hAPP(c_Groups_Otimes__class_Otimes(_u324, _u325), _u326), c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, _u325, c_Groups_Ozero__class_Ozero(_u324)) | ~c_Orderings_Oord__class_Oless__eq(_u324, c_Groups_Ozero__class_Ozero(_u324), _u326) )).
% 15.12/15.30 cnf(matrix-303, plain, ( ~class_Rings_Oordered__ring(_u327) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), hAPP(c_Groups_Otimes__class_Otimes(_u327, _u328), _u329)) | ~c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), _u328) | ~c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), _u329) )).
% 15.12/15.30 cnf(matrix-304, plain, ( ~class_Rings_Oordered__ring(_u327) | c_Orderings_Oord__class_Oless__eq(_u327, c_Groups_Ozero__class_Ozero(_u327), hAPP(c_Groups_Otimes__class_Otimes(_u327, _u328), _u329)) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u328, c_Groups_Ozero__class_Ozero(_u327)) | ~c_Orderings_Oord__class_Oless__eq(_u327, _u329, c_Groups_Ozero__class_Ozero(_u327)) )).
% 15.12/15.30 cnf(matrix-305, plain, ( ~class_Rings_Oordered__semiring(_u330) | ~c_Orderings_Oord__class_Oless__eq(_u330, _u331, _u332) | ~c_Orderings_Oord__class_Oless__eq(_u330, _u333, _u334) | ~c_Orderings_Oord__class_Oless__eq(_u330, c_Groups_Ozero__class_Ozero(_u330), _u332) | ~c_Orderings_Oord__class_Oless__eq(_u330, c_Groups_Ozero__class_Ozero(_u330), _u333) | c_Orderings_Oord__class_Oless__eq(_u330, hAPP(c_Groups_Otimes__class_Otimes(_u330, _u331), _u333), hAPP(c_Groups_Otimes__class_Otimes(_u330, _u332), _u334)) )).
% 15.12/15.30 cnf(matrix-306, plain, ( ~class_Rings_Oordered__semiring(_u335) | ~c_Orderings_Oord__class_Oless__eq(_u335, _u336, _u337) | ~c_Orderings_Oord__class_Oless__eq(_u335, _u338, _u339) | ~c_Orderings_Oord__class_Oless__eq(_u335, c_Groups_Ozero__class_Ozero(_u335), _u336) | ~c_Orderings_Oord__class_Oless__eq(_u335, c_Groups_Ozero__class_Ozero(_u335), _u338) | c_Orderings_Oord__class_Oless__eq(_u335, hAPP(c_Groups_Otimes__class_Otimes(_u335, _u336), _u338), hAPP(c_Groups_Otimes__class_Otimes(_u335, _u337), _u339)) )).
% 15.12/15.30 cnf(matrix-307, plain, ( ~class_Rings_Oordered__ring(_u340) | ~c_Orderings_Oord__class_Oless__eq(_u340, _u341, _u342) | ~c_Orderings_Oord__class_Oless__eq(_u340, _u343, c_Groups_Ozero__class_Ozero(_u340)) | c_Orderings_Oord__class_Oless__eq(_u340, hAPP(c_Groups_Otimes__class_Otimes(_u340, _u343), _u342), hAPP(c_Groups_Otimes__class_Otimes(_u340, _u343), _u341)) )).
% 15.12/15.30 cnf(matrix-308, plain, ( ~class_Rings_Oordered__ring(_u344) | ~c_Orderings_Oord__class_Oless__eq(_u344, _u345, _u346) | ~c_Orderings_Oord__class_Oless__eq(_u344, _u347, c_Groups_Ozero__class_Ozero(_u344)) | c_Orderings_Oord__class_Oless__eq(_u344, hAPP(c_Groups_Otimes__class_Otimes(_u344, _u346), _u347), hAPP(c_Groups_Otimes__class_Otimes(_u344, _u345), _u347)) )).
% 15.12/15.30 cnf(matrix-309, plain, ( ~class_Rings_Oordered__comm__semiring(_u348) | ~c_Orderings_Oord__class_Oless__eq(_u348, _u349, _u350) | ~c_Orderings_Oord__class_Oless__eq(_u348, c_Groups_Ozero__class_Ozero(_u348), _u351) | c_Orderings_Oord__class_Oless__eq(_u348, hAPP(c_Groups_Otimes__class_Otimes(_u348, _u351), _u349), hAPP(c_Groups_Otimes__class_Otimes(_u348, _u351), _u350)) )).
% 15.12/15.30 cnf(matrix-310, plain, ( ~class_Rings_Oordered__semiring(_u352) | ~c_Orderings_Oord__class_Oless__eq(_u352, _u353, _u354) | ~c_Orderings_Oord__class_Oless__eq(_u352, c_Groups_Ozero__class_Ozero(_u352), _u355) | c_Orderings_Oord__class_Oless__eq(_u352, hAPP(c_Groups_Otimes__class_Otimes(_u352, _u355), _u353), hAPP(c_Groups_Otimes__class_Otimes(_u352, _u355), _u354)) )).
% 15.12/15.30 cnf(matrix-311, plain, ( ~class_Rings_Oordered__semiring(_u356) | ~c_Orderings_Oord__class_Oless__eq(_u356, _u357, _u358) | ~c_Orderings_Oord__class_Oless__eq(_u356, c_Groups_Ozero__class_Ozero(_u356), _u359) | c_Orderings_Oord__class_Oless__eq(_u356, hAPP(c_Groups_Otimes__class_Otimes(_u356, _u357), _u359), hAPP(c_Groups_Otimes__class_Otimes(_u356, _u358), _u359)) )).
% 15.12/15.30 cnf(matrix-312, plain, ( ~class_Rings_Oordered__ring(_u360) | ~c_Orderings_Oord__class_Oless__eq(_u360, _u361, c_Groups_Ozero__class_Ozero(_u360)) | ~c_Orderings_Oord__class_Oless__eq(_u360, _u362, c_Groups_Ozero__class_Ozero(_u360)) | c_Orderings_Oord__class_Oless__eq(_u360, c_Groups_Ozero__class_Ozero(_u360), hAPP(c_Groups_Otimes__class_Otimes(_u360, _u361), _u362)) )).
% 15.12/15.30 cnf(matrix-313, plain, ( ~class_Rings_Oordered__cancel__semiring(_u363) | ~c_Orderings_Oord__class_Oless__eq(_u363, _u364, c_Groups_Ozero__class_Ozero(_u363)) | ~c_Orderings_Oord__class_Oless__eq(_u363, c_Groups_Ozero__class_Ozero(_u363), _u365) | c_Orderings_Oord__class_Oless__eq(_u363, hAPP(c_Groups_Otimes__class_Otimes(_u363, _u364), _u365), c_Groups_Ozero__class_Ozero(_u363)) )).
% 15.12/15.30 cnf(matrix-314, plain, ( ~class_Rings_Oordered__cancel__semiring(_u366) | ~c_Orderings_Oord__class_Oless__eq(_u366, c_Groups_Ozero__class_Ozero(_u366), _u367) | ~c_Orderings_Oord__class_Oless__eq(_u366, _u368, c_Groups_Ozero__class_Ozero(_u366)) | c_Orderings_Oord__class_Oless__eq(_u366, hAPP(c_Groups_Otimes__class_Otimes(_u366, _u368), _u367), c_Groups_Ozero__class_Ozero(_u366)) )).
% 15.12/15.30 cnf(matrix-315, plain, ( ~class_Rings_Oordered__cancel__semiring(_u369) | ~c_Orderings_Oord__class_Oless__eq(_u369, c_Groups_Ozero__class_Ozero(_u369), _u370) | ~c_Orderings_Oord__class_Oless__eq(_u369, _u371, c_Groups_Ozero__class_Ozero(_u369)) | c_Orderings_Oord__class_Oless__eq(_u369, hAPP(c_Groups_Otimes__class_Otimes(_u369, _u370), _u371), c_Groups_Ozero__class_Ozero(_u369)) )).
% 15.12/15.30 cnf(matrix-316, plain, ( ~class_Rings_Oordered__cancel__semiring(_u372) | ~c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), _u373) | ~c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), _u374) | c_Orderings_Oord__class_Oless__eq(_u372, c_Groups_Ozero__class_Ozero(_u372), hAPP(c_Groups_Otimes__class_Otimes(_u372, _u373), _u374)) )).
% 15.12/15.30 cnf(matrix-317, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.30 cnf(matrix-318, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.30 cnf(matrix-319, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.30 cnf(matrix-320, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | ~c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) | c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.30 cnf(matrix-321, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u376) | ~c_Orderings_Oord__class_Oless__eq(_u375, _u377, c_Groups_Ozero__class_Ozero(_u375)) )).
% 15.12/15.30 cnf(matrix-322, plain, ( ~class_Rings_Olinordered__ring__strict(_u375) | c_Orderings_Oord__class_Oless__eq(_u375, hAPP(c_Groups_Otimes__class_Otimes(_u375, _u376), _u377), c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, _u376, c_Groups_Ozero__class_Ozero(_u375)) | ~c_Orderings_Oord__class_Oless__eq(_u375, c_Groups_Ozero__class_Ozero(_u375), _u377) )).
% 15.12/15.30 cnf(matrix-323, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.30 cnf(matrix-324, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.30 cnf(matrix-325, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) | c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.30 cnf(matrix-326, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) | c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.30 cnf(matrix-327, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u379) | ~c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), _u380) )).
% 15.12/15.30 cnf(matrix-328, plain, ( ~class_Rings_Olinordered__ring__strict(_u378) | c_Orderings_Oord__class_Oless__eq(_u378, c_Groups_Ozero__class_Ozero(_u378), hAPP(c_Groups_Otimes__class_Otimes(_u378, _u379), _u380)) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u379, c_Groups_Ozero__class_Ozero(_u378)) | ~c_Orderings_Oord__class_Oless__eq(_u378, _u380, c_Groups_Ozero__class_Ozero(_u378)) )).
% 15.12/15.30 cnf(matrix-329, plain, ( ~class_Rings_Olinordered__ring(_u381) | c_Orderings_Oord__class_Oless__eq(_u381, c_Groups_Ozero__class_Ozero(_u381), hAPP(c_Groups_Otimes__class_Otimes(_u381, _u382), _u382)) )).
% 15.12/15.30 cnf(matrix-330, plain, ( ~class_Rings_Olinordered__semidom(_u383) | c_Orderings_Oord__class_Oless__eq(_u383, c_Groups_Ozero__class_Ozero(_u383), c_Groups_Oone__class_Oone(_u383)) )).
% 15.12/15.30 cnf(matrix-331, plain, ( ~class_Rings_Olinordered__semidom(_u384) | ~c_Orderings_Oord__class_Oless__eq(_u384, c_Groups_Oone__class_Oone(_u384), c_Groups_Ozero__class_Ozero(_u384)) )).
% 15.12/15.30 cnf(matrix-332, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u385) | ~c_Orderings_Oord__class_Oless__eq(_u385, _u386, _u387) | ~c_Orderings_Oord__class_Oless__eq(_u385, _u388, c_Groups_Ozero__class_Ozero(_u385)) | c_Orderings_Oord__class_Oless__eq(_u385, c_Rings_Oinverse__class_Odivide(_u385, _u387, _u388), c_Rings_Oinverse__class_Odivide(_u385, _u386, _u388)) )).
% 15.12/15.30 cnf(matrix-333, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u389) | ~c_Orderings_Oord__class_Oless__eq(_u389, _u390, _u391) | ~c_Orderings_Oord__class_Oless__eq(_u389, c_Groups_Ozero__class_Ozero(_u389), _u392) | c_Orderings_Oord__class_Oless__eq(_u389, c_Rings_Oinverse__class_Odivide(_u389, _u390, _u392), c_Rings_Oinverse__class_Odivide(_u389, _u391, _u392)) )).
% 15.12/15.30 cnf(matrix-334, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.30 cnf(matrix-335, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.30 cnf(matrix-336, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.30 cnf(matrix-337, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) | c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.30 cnf(matrix-338, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u394) | ~c_Orderings_Oord__class_Oless__eq(_u393, _u395, c_Groups_Ozero__class_Ozero(_u393)) )).
% 15.12/15.30 cnf(matrix-339, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u393) | c_Orderings_Oord__class_Oless__eq(_u393, c_Rings_Oinverse__class_Odivide(_u393, _u394, _u395), c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, _u394, c_Groups_Ozero__class_Ozero(_u393)) | ~c_Orderings_Oord__class_Oless__eq(_u393, c_Groups_Ozero__class_Ozero(_u393), _u395) )).
% 15.12/15.30 cnf(matrix-340, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.30 cnf(matrix-341, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.30 cnf(matrix-342, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) | c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.30 cnf(matrix-343, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) | c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.30 cnf(matrix-344, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u397) | ~c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), _u398) )).
% 15.12/15.30 cnf(matrix-345, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u396) | c_Orderings_Oord__class_Oless__eq(_u396, c_Groups_Ozero__class_Ozero(_u396), c_Rings_Oinverse__class_Odivide(_u396, _u397, _u398)) | ~c_Orderings_Oord__class_Oless__eq(_u396, _u397, c_Groups_Ozero__class_Ozero(_u396)) | ~c_Orderings_Oord__class_Oless__eq(_u396, _u398, c_Groups_Ozero__class_Ozero(_u396)) )).
% 15.12/15.30 cnf(matrix-346, 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, _u401, _u403)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u401, 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), _u403) )).
% 15.12/15.30 cnf(matrix-347, 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, _u401, _u403)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u401) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u403, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-348, 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u402, 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), _u402) )).
% 15.12/15.30 cnf(matrix-349, 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u402, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u404, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-350, 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u404) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u402) )).
% 15.12/15.30 cnf(matrix-351, 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, _u402, _u404)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u404) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u404, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-352, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u406) | ~c_Orderings_Oord__class_Oless__eq(_u405, hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u407), hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u408)) | c_Orderings_Oord__class_Oless__eq(_u405, _u407, _u408) )).
% 15.12/15.30 cnf(matrix-353, plain, ( ~class_Rings_Olinordered__ring__strict(_u405) | ~c_Orderings_Oord__class_Oless(_u405, c_Groups_Ozero__class_Ozero(_u405), _u406) | ~c_Orderings_Oord__class_Oless__eq(_u405, _u407, _u408) | c_Orderings_Oord__class_Oless__eq(_u405, hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u407), hAPP(c_Groups_Otimes__class_Otimes(_u405, _u406), _u408)) )).
% 15.12/15.30 cnf(matrix-354, plain, ( ~class_Rings_Olinordered__ring__strict(_u409) | ~c_Orderings_Oord__class_Oless(_u409, _u410, c_Groups_Ozero__class_Ozero(_u409)) | ~c_Orderings_Oord__class_Oless__eq(_u409, hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u411), hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u412)) | c_Orderings_Oord__class_Oless__eq(_u409, _u412, _u411) )).
% 15.12/15.30 cnf(matrix-355, plain, ( ~class_Rings_Olinordered__ring__strict(_u409) | ~c_Orderings_Oord__class_Oless(_u409, _u410, c_Groups_Ozero__class_Ozero(_u409)) | ~c_Orderings_Oord__class_Oless__eq(_u409, _u412, _u411) | c_Orderings_Oord__class_Oless__eq(_u409, hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u411), hAPP(c_Groups_Otimes__class_Otimes(_u409, _u410), _u412)) )).
% 15.12/15.30 cnf(matrix-356, plain, ( ~class_Rings_Olinordered__semiring__strict(_u413) | ~c_Orderings_Oord__class_Oless(_u413, _u414, _u415) | ~c_Orderings_Oord__class_Oless(_u413, _u416, _u417) | ~c_Orderings_Oord__class_Oless(_u413, c_Groups_Ozero__class_Ozero(_u413), _u415) | ~c_Orderings_Oord__class_Oless__eq(_u413, c_Groups_Ozero__class_Ozero(_u413), _u416) | c_Orderings_Oord__class_Oless(_u413, hAPP(c_Groups_Otimes__class_Otimes(_u413, _u414), _u416), hAPP(c_Groups_Otimes__class_Otimes(_u413, _u415), _u417)) )).
% 15.12/15.30 cnf(matrix-357, plain, ( ~class_Rings_Olinordered__semiring__strict(_u418) | ~c_Orderings_Oord__class_Oless(_u418, _u419, _u420) | ~c_Orderings_Oord__class_Oless(_u418, _u421, _u422) | ~c_Orderings_Oord__class_Oless__eq(_u418, c_Groups_Ozero__class_Ozero(_u418), _u419) | ~c_Orderings_Oord__class_Oless__eq(_u418, c_Groups_Ozero__class_Ozero(_u418), _u421) | c_Orderings_Oord__class_Oless(_u418, hAPP(c_Groups_Otimes__class_Otimes(_u418, _u419), _u421), hAPP(c_Groups_Otimes__class_Otimes(_u418, _u420), _u422)) )).
% 15.12/15.30 cnf(matrix-358, plain, ( ~class_Rings_Olinordered__semiring__strict(_u423) | ~c_Orderings_Oord__class_Oless(_u423, _u424, _u425) | ~c_Orderings_Oord__class_Oless__eq(_u423, _u426, _u427) | ~c_Orderings_Oord__class_Oless__eq(_u423, c_Groups_Ozero__class_Ozero(_u423), _u424) | ~c_Orderings_Oord__class_Oless(_u423, c_Groups_Ozero__class_Ozero(_u423), _u426) | c_Orderings_Oord__class_Oless(_u423, hAPP(c_Groups_Otimes__class_Otimes(_u423, _u424), _u426), hAPP(c_Groups_Otimes__class_Otimes(_u423, _u425), _u427)) )).
% 15.12/15.30 cnf(matrix-359, plain, ( ~class_Rings_Olinordered__semiring__strict(_u428) | ~c_Orderings_Oord__class_Oless__eq(_u428, _u429, _u430) | ~c_Orderings_Oord__class_Oless(_u428, _u431, _u432) | ~c_Orderings_Oord__class_Oless(_u428, c_Groups_Ozero__class_Ozero(_u428), _u429) | ~c_Orderings_Oord__class_Oless__eq(_u428, c_Groups_Ozero__class_Ozero(_u428), _u431) | c_Orderings_Oord__class_Oless(_u428, hAPP(c_Groups_Otimes__class_Otimes(_u428, _u429), _u431), hAPP(c_Groups_Otimes__class_Otimes(_u428, _u430), _u432)) )).
% 15.12/15.30 cnf(matrix-360, plain, ( ~class_Rings_Olinordered__semiring(_u433) | ~c_Orderings_Oord__class_Oless(_u433, hAPP(c_Groups_Otimes__class_Otimes(_u433, _u434), _u435), hAPP(c_Groups_Otimes__class_Otimes(_u433, _u436), _u435)) | ~c_Orderings_Oord__class_Oless__eq(_u433, c_Groups_Ozero__class_Ozero(_u433), _u435) | c_Orderings_Oord__class_Oless(_u433, _u434, _u436) )).
% 15.12/15.30 cnf(matrix-361, plain, ( ~class_Rings_Olinordered__semiring__strict(_u437) | ~c_Orderings_Oord__class_Oless(_u437, hAPP(c_Groups_Otimes__class_Otimes(_u437, _u438), _u439), hAPP(c_Groups_Otimes__class_Otimes(_u437, _u440), _u439)) | ~c_Orderings_Oord__class_Oless__eq(_u437, c_Groups_Ozero__class_Ozero(_u437), _u439) | c_Orderings_Oord__class_Oless(_u437, _u438, _u440) )).
% 15.12/15.30 cnf(matrix-362, plain, ( ~class_Rings_Olinordered__semiring(_u441) | ~c_Orderings_Oord__class_Oless(_u441, hAPP(c_Groups_Otimes__class_Otimes(_u441, _u442), _u443), hAPP(c_Groups_Otimes__class_Otimes(_u441, _u442), _u444)) | ~c_Orderings_Oord__class_Oless__eq(_u441, c_Groups_Ozero__class_Ozero(_u441), _u442) | c_Orderings_Oord__class_Oless(_u441, _u443, _u444) )).
% 15.12/15.30 cnf(matrix-363, plain, ( ~class_Rings_Olinordered__semiring__strict(_u445) | ~c_Orderings_Oord__class_Oless(_u445, hAPP(c_Groups_Otimes__class_Otimes(_u445, _u446), _u447), hAPP(c_Groups_Otimes__class_Otimes(_u445, _u446), _u448)) | ~c_Orderings_Oord__class_Oless__eq(_u445, c_Groups_Ozero__class_Ozero(_u445), _u446) | c_Orderings_Oord__class_Oless(_u445, _u447, _u448) )).
% 15.12/15.30 cnf(matrix-364, plain, ( ~class_Rings_Olinordered__semiring__strict(_u449) | ~c_Orderings_Oord__class_Oless__eq(_u449, hAPP(c_Groups_Otimes__class_Otimes(_u449, _u450), _u451), hAPP(c_Groups_Otimes__class_Otimes(_u449, _u452), _u451)) | ~c_Orderings_Oord__class_Oless(_u449, c_Groups_Ozero__class_Ozero(_u449), _u451) | c_Orderings_Oord__class_Oless__eq(_u449, _u450, _u452) )).
% 15.12/15.30 cnf(matrix-365, plain, ( ~class_Rings_Olinordered__semiring__strict(_u453) | ~c_Orderings_Oord__class_Oless__eq(_u453, hAPP(c_Groups_Otimes__class_Otimes(_u453, _u454), _u455), hAPP(c_Groups_Otimes__class_Otimes(_u453, _u454), _u456)) | ~c_Orderings_Oord__class_Oless(_u453, c_Groups_Ozero__class_Ozero(_u453), _u454) | c_Orderings_Oord__class_Oless__eq(_u453, _u455, _u456) )).
% 15.12/15.30 cnf(matrix-366, plain, ( ~class_Rings_Olinordered__idom(_u457) | ~c_Orderings_Oord__class_Oless__eq(_u457, c_Groups_Ozero__class_Ozero(_u457), _u458) | ~c_Orderings_Oord__class_Oless__eq(_u457, c_Groups_Ozero__class_Ozero(_u457), _u459) | ~c_Orderings_Oord__class_Oless__eq(_u457, _u459, c_Groups_Oone__class_Oone(_u457)) | c_Orderings_Oord__class_Oless__eq(_u457, hAPP(c_Groups_Otimes__class_Otimes(_u457, _u459), _u458), _u458) )).
% 15.12/15.30 cnf(matrix-367, plain, ( ~class_Rings_Olinordered__idom(_u460) | ~c_Orderings_Oord__class_Oless__eq(_u460, c_Groups_Ozero__class_Ozero(_u460), _u461) | ~c_Orderings_Oord__class_Oless__eq(_u460, c_Groups_Ozero__class_Ozero(_u460), _u462) | ~c_Orderings_Oord__class_Oless__eq(_u460, _u462, c_Groups_Oone__class_Oone(_u460)) | c_Orderings_Oord__class_Oless__eq(_u460, hAPP(c_Groups_Otimes__class_Otimes(_u460, _u461), _u462), _u461) )).
% 15.12/15.30 cnf(matrix-368, plain, ( ~class_Fields_Olinordered__field(_u463) | ~c_Orderings_Oord__class_Oless__eq(_u463, _u464, c_Groups_Ozero__class_Ozero(_u463)) | ~c_Orderings_Oord__class_Oless(_u463, _u465, c_Groups_Ozero__class_Ozero(_u463)) | c_Orderings_Oord__class_Oless__eq(_u463, c_Groups_Ozero__class_Ozero(_u463), c_Rings_Oinverse__class_Odivide(_u463, _u464, _u465)) )).
% 15.12/15.30 cnf(matrix-369, plain, ( ~class_Fields_Olinordered__field(_u466) | ~c_Orderings_Oord__class_Oless__eq(_u466, _u467, c_Groups_Ozero__class_Ozero(_u466)) | ~c_Orderings_Oord__class_Oless(_u466, c_Groups_Ozero__class_Ozero(_u466), _u468) | c_Orderings_Oord__class_Oless__eq(_u466, c_Rings_Oinverse__class_Odivide(_u466, _u467, _u468), c_Groups_Ozero__class_Ozero(_u466)) )).
% 15.12/15.30 cnf(matrix-370, plain, ( ~class_Fields_Olinordered__field(_u469) | ~c_Orderings_Oord__class_Oless__eq(_u469, c_Groups_Ozero__class_Ozero(_u469), _u470) | ~c_Orderings_Oord__class_Oless__eq(_u469, _u470, _u471) | ~c_Orderings_Oord__class_Oless(_u469, c_Groups_Ozero__class_Ozero(_u469), _u472) | ~c_Orderings_Oord__class_Oless__eq(_u469, _u472, _u473) | c_Orderings_Oord__class_Oless__eq(_u469, c_Rings_Oinverse__class_Odivide(_u469, _u470, _u473), c_Rings_Oinverse__class_Odivide(_u469, _u471, _u472)) )).
% 15.12/15.30 cnf(matrix-371, plain, ( ~class_Fields_Olinordered__field(_u474) | ~c_Orderings_Oord__class_Oless__eq(_u474, c_Groups_Ozero__class_Ozero(_u474), _u475) | ~c_Orderings_Oord__class_Oless(_u474, _u475, _u476) | ~c_Orderings_Oord__class_Oless(_u474, c_Groups_Ozero__class_Ozero(_u474), _u477) | ~c_Orderings_Oord__class_Oless__eq(_u474, _u477, _u478) | c_Orderings_Oord__class_Oless(_u474, c_Rings_Oinverse__class_Odivide(_u474, _u475, _u478), c_Rings_Oinverse__class_Odivide(_u474, _u476, _u477)) )).
% 15.12/15.30 cnf(matrix-372, plain, ( ~class_Fields_Olinordered__field(_u479) | ~c_Orderings_Oord__class_Oless(_u479, c_Groups_Ozero__class_Ozero(_u479), _u480) | ~c_Orderings_Oord__class_Oless__eq(_u479, _u480, _u481) | ~c_Orderings_Oord__class_Oless(_u479, c_Groups_Ozero__class_Ozero(_u479), _u482) | ~c_Orderings_Oord__class_Oless(_u479, _u482, _u483) | c_Orderings_Oord__class_Oless(_u479, c_Rings_Oinverse__class_Odivide(_u479, _u480, _u483), c_Rings_Oinverse__class_Odivide(_u479, _u481, _u482)) )).
% 15.12/15.30 cnf(matrix-373, plain, ( ~class_Fields_Olinordered__field(_u484) | ~c_Orderings_Oord__class_Oless__eq(_u484, c_Groups_Ozero__class_Ozero(_u484), _u485) | ~c_Orderings_Oord__class_Oless(_u484, _u486, c_Groups_Ozero__class_Ozero(_u484)) | c_Orderings_Oord__class_Oless__eq(_u484, c_Rings_Oinverse__class_Odivide(_u484, _u485, _u486), c_Groups_Ozero__class_Ozero(_u484)) )).
% 15.12/15.30 cnf(matrix-374, plain, ( ~class_Fields_Olinordered__field(_u487) | ~c_Orderings_Oord__class_Oless__eq(_u487, c_Groups_Ozero__class_Ozero(_u487), _u488) | ~c_Orderings_Oord__class_Oless(_u487, c_Groups_Ozero__class_Ozero(_u487), _u489) | c_Orderings_Oord__class_Oless__eq(_u487, c_Groups_Ozero__class_Ozero(_u487), c_Rings_Oinverse__class_Odivide(_u487, _u488, _u489)) )).
% 15.12/15.30 cnf(matrix-375, plain, ( ~class_Groups_Ozero(_u490) | ( c_Groups_Ozero__class_Ozero(_u490) != _u491) | ( _u491 = c_Groups_Ozero__class_Ozero(_u490)) )).
% 15.12/15.30 cnf(matrix-376, plain, ( ~class_Groups_Ozero(_u490) | ( _u491 != c_Groups_Ozero__class_Ozero(_u490)) | ( c_Groups_Ozero__class_Ozero(_u490) = _u491) )).
% 15.12/15.30 cnf(matrix-377, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u492) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u493), _u492), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u494), _u492)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) )).
% 15.12/15.30 cnf(matrix-378, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u492) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u493, _u494) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u493), _u492), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u494), _u492)) )).
% 15.12/15.30 cnf(matrix-379, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u495) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u496), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u497)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u497) )).
% 15.12/15.30 cnf(matrix-380, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u495) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u496, _u497) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u496), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u495), _u497)) )).
% 15.12/15.30 cnf(matrix-381, plain, ( ~class_Groups_Oab__semigroup__mult(_u498) | ( hAPP(c_Groups_Otimes__class_Otimes(_u498, hAPP(c_Groups_Otimes__class_Otimes(_u498, _u499), _u500)), _u501) = hAPP(c_Groups_Otimes__class_Otimes(_u498, _u499), hAPP(c_Groups_Otimes__class_Otimes(_u498, _u500), _u501))) )).
% 15.12/15.30 cnf(matrix-382, plain, ( ~class_Groups_Oone(_u502) | ( c_Groups_Oone__class_Oone(_u502) != _u503) | ( _u503 = c_Groups_Oone__class_Oone(_u502)) )).
% 15.12/15.30 cnf(matrix-383, plain, ( ~class_Groups_Oone(_u502) | ( _u503 != c_Groups_Oone__class_Oone(_u502)) | ( c_Groups_Oone__class_Oone(_u502) = _u503) )).
% 15.12/15.30 cnf(matrix-384, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) )).
% 15.12/15.30 cnf(matrix-385, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) )).
% 15.12/15.30 cnf(matrix-386, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-387, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-388, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-389, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-390, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless(_u504, c_Groups_Ozero__class_Ozero(_u504), _u507) )).
% 15.12/15.30 cnf(matrix-391, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-392, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless(_u504, _u507, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-393, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u504) | c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Rings_Oinverse__class_Odivide(_u504, _u506, _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507), _u506) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u506, hAPP(c_Groups_Otimes__class_Otimes(_u504, _u505), _u507)) | ~c_Orderings_Oord__class_Oless__eq(_u504, _u505, c_Groups_Ozero__class_Ozero(_u504)) )).
% 15.12/15.30 cnf(matrix-394, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) )).
% 15.12/15.30 cnf(matrix-395, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) )).
% 15.12/15.30 cnf(matrix-396, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.30 cnf(matrix-397, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.30 cnf(matrix-398, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) )).
% 15.12/15.30 cnf(matrix-399, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.30 cnf(matrix-400, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless(_u508, c_Groups_Ozero__class_Ozero(_u508), _u510) )).
% 15.12/15.30 cnf(matrix-401, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.30 cnf(matrix-402, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless(_u508, _u510, c_Groups_Ozero__class_Ozero(_u508)) )).
% 15.12/15.30 cnf(matrix-403, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u508) | c_Orderings_Oord__class_Oless__eq(_u508, c_Rings_Oinverse__class_Odivide(_u508, _u509, _u510), _u511) | ~c_Orderings_Oord__class_Oless__eq(_u508, _u509, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510)) | ~c_Orderings_Oord__class_Oless__eq(_u508, hAPP(c_Groups_Otimes__class_Otimes(_u508, _u511), _u510), _u509) | ~c_Orderings_Oord__class_Oless__eq(_u508, c_Groups_Ozero__class_Ozero(_u508), _u511) )).
% 15.12/15.30 cnf(matrix-404, plain, ( ~class_Fields_Olinordered__field(_u512) | ~c_Orderings_Oord__class_Oless(_u512, c_Groups_Ozero__class_Ozero(_u512), _u513) | ~c_Orderings_Oord__class_Oless__eq(_u512, _u514, c_Rings_Oinverse__class_Odivide(_u512, _u515, _u513)) | c_Orderings_Oord__class_Oless__eq(_u512, hAPP(c_Groups_Otimes__class_Otimes(_u512, _u514), _u513), _u515) )).
% 15.12/15.30 cnf(matrix-405, plain, ( ~class_Fields_Olinordered__field(_u512) | ~c_Orderings_Oord__class_Oless(_u512, c_Groups_Ozero__class_Ozero(_u512), _u513) | ~c_Orderings_Oord__class_Oless__eq(_u512, hAPP(c_Groups_Otimes__class_Otimes(_u512, _u514), _u513), _u515) | c_Orderings_Oord__class_Oless__eq(_u512, _u514, c_Rings_Oinverse__class_Odivide(_u512, _u515, _u513)) )).
% 15.12/15.30 cnf(matrix-406, plain, ( ~class_Fields_Olinordered__field(_u516) | ~c_Orderings_Oord__class_Oless(_u516, c_Groups_Ozero__class_Ozero(_u516), _u517) | ~c_Orderings_Oord__class_Oless__eq(_u516, c_Rings_Oinverse__class_Odivide(_u516, _u518, _u517), _u519) | c_Orderings_Oord__class_Oless__eq(_u516, _u518, hAPP(c_Groups_Otimes__class_Otimes(_u516, _u519), _u517)) )).
% 15.12/15.30 cnf(matrix-407, plain, ( ~class_Fields_Olinordered__field(_u516) | ~c_Orderings_Oord__class_Oless(_u516, c_Groups_Ozero__class_Ozero(_u516), _u517) | ~c_Orderings_Oord__class_Oless__eq(_u516, _u518, hAPP(c_Groups_Otimes__class_Otimes(_u516, _u519), _u517)) | c_Orderings_Oord__class_Oless__eq(_u516, c_Rings_Oinverse__class_Odivide(_u516, _u518, _u517), _u519) )).
% 15.12/15.30 cnf(matrix-408, plain, ( ~class_Fields_Olinordered__field(_u520) | ~c_Orderings_Oord__class_Oless(_u520, c_Groups_Ozero__class_Ozero(_u520), _u521) | ~c_Orderings_Oord__class_Oless__eq(_u520, _u522, hAPP(c_Groups_Otimes__class_Otimes(_u520, _u523), _u521)) | c_Orderings_Oord__class_Oless__eq(_u520, c_Rings_Oinverse__class_Odivide(_u520, _u522, _u521), _u523) )).
% 15.12/15.30 cnf(matrix-409, plain, ( ~class_Fields_Olinordered__field(_u524) | ~c_Orderings_Oord__class_Oless(_u524, c_Groups_Ozero__class_Ozero(_u524), _u525) | ~c_Orderings_Oord__class_Oless__eq(_u524, hAPP(c_Groups_Otimes__class_Otimes(_u524, _u526), _u525), _u527) | c_Orderings_Oord__class_Oless__eq(_u524, _u526, c_Rings_Oinverse__class_Odivide(_u524, _u527, _u525)) )).
% 15.12/15.30 cnf(matrix-410, plain, ( ~class_Fields_Olinordered__field(_u528) | ~c_Orderings_Oord__class_Oless(_u528, _u529, c_Groups_Ozero__class_Ozero(_u528)) | ~c_Orderings_Oord__class_Oless__eq(_u528, _u530, c_Rings_Oinverse__class_Odivide(_u528, _u531, _u529)) | c_Orderings_Oord__class_Oless__eq(_u528, _u531, hAPP(c_Groups_Otimes__class_Otimes(_u528, _u530), _u529)) )).
% 15.12/15.30 cnf(matrix-411, plain, ( ~class_Fields_Olinordered__field(_u528) | ~c_Orderings_Oord__class_Oless(_u528, _u529, c_Groups_Ozero__class_Ozero(_u528)) | ~c_Orderings_Oord__class_Oless__eq(_u528, _u531, hAPP(c_Groups_Otimes__class_Otimes(_u528, _u530), _u529)) | c_Orderings_Oord__class_Oless__eq(_u528, _u530, c_Rings_Oinverse__class_Odivide(_u528, _u531, _u529)) )).
% 15.12/15.30 cnf(matrix-412, plain, ( ~class_Fields_Olinordered__field(_u532) | ~c_Orderings_Oord__class_Oless(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | ~c_Orderings_Oord__class_Oless__eq(_u532, c_Rings_Oinverse__class_Odivide(_u532, _u534, _u533), _u535) | c_Orderings_Oord__class_Oless__eq(_u532, hAPP(c_Groups_Otimes__class_Otimes(_u532, _u535), _u533), _u534) )).
% 15.12/15.30 cnf(matrix-413, plain, ( ~class_Fields_Olinordered__field(_u532) | ~c_Orderings_Oord__class_Oless(_u532, _u533, c_Groups_Ozero__class_Ozero(_u532)) | ~c_Orderings_Oord__class_Oless__eq(_u532, hAPP(c_Groups_Otimes__class_Otimes(_u532, _u535), _u533), _u534) | c_Orderings_Oord__class_Oless__eq(_u532, c_Rings_Oinverse__class_Odivide(_u532, _u534, _u533), _u535) )).
% 15.12/15.30 cnf(matrix-414, plain, ( ~class_Fields_Olinordered__field(_u536) | ~c_Orderings_Oord__class_Oless__eq(_u536, _u537, _u538) | ~c_Orderings_Oord__class_Oless__eq(_u536, c_Groups_Ozero__class_Ozero(_u536), _u539) | ~c_Orderings_Oord__class_Oless(_u536, c_Groups_Ozero__class_Ozero(_u536), hAPP(c_Groups_Otimes__class_Otimes(_u536, _u538), _u537)) | c_Orderings_Oord__class_Oless__eq(_u536, c_Rings_Oinverse__class_Odivide(_u536, _u539, _u538), c_Rings_Oinverse__class_Odivide(_u536, _u539, _u537)) )).
% 15.12/15.30 cnf(matrix-415, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u540) | ~c_Orderings_Oord__class_Oless__eq(_u540, _u541, _u542) | ~c_Orderings_Oord__class_Oless__eq(_u540, _u543, c_Groups_Ozero__class_Ozero(_u540)) | ~c_Orderings_Oord__class_Oless(_u540, c_Groups_Ozero__class_Ozero(_u540), hAPP(c_Groups_Otimes__class_Otimes(_u540, _u541), _u542)) | c_Orderings_Oord__class_Oless__eq(_u540, c_Rings_Oinverse__class_Odivide(_u540, _u543, _u541), c_Rings_Oinverse__class_Odivide(_u540, _u543, _u542)) )).
% 15.12/15.30 cnf(matrix-416, plain, ( ~class_Orderings_Opreorder(_u544) | c_Orderings_Oord__class_Oless__eq(_u544, _u545, _u545) )).
% 15.12/15.30 cnf(matrix-417, plain, ( ~class_Orderings_Olinorder(_u546) | c_Orderings_Oord__class_Oless(_u546, _u547, _u548) | c_Orderings_Oord__class_Oless__eq(_u546, _u548, _u547) )).
% 15.12/15.30 cnf(matrix-418, plain, ( ~class_Orderings_Olinorder(_u546) | ~c_Orderings_Oord__class_Oless__eq(_u546, _u548, _u547) | ~c_Orderings_Oord__class_Oless(_u546, _u547, _u548) )).
% 15.12/15.30 cnf(matrix-419, plain, ( ~class_Orderings_Olinorder(_u549) | c_Orderings_Oord__class_Oless__eq(_u549, _u550, _u551) | c_Orderings_Oord__class_Oless(_u549, _u551, _u550) )).
% 15.12/15.30 cnf(matrix-420, plain, ( ~class_Orderings_Olinorder(_u549) | ~c_Orderings_Oord__class_Oless(_u549, _u551, _u550) | ~c_Orderings_Oord__class_Oless__eq(_u549, _u550, _u551) )).
% 15.12/15.30 cnf(matrix-421, plain, ( ~class_Orderings_Olinorder(_u552) | c_Orderings_Oord__class_Oless__eq(_u552, _u553, _u554) | c_Orderings_Oord__class_Oless(_u552, _u554, _u553) )).
% 15.12/15.30 cnf(matrix-422, plain, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless(_u555, _u556, _u557) | c_Orderings_Oord__class_Oless__eq(_u555, _u556, _u557) )).
% 15.12/15.30 cnf(matrix-423, plain, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless(_u555, _u556, _u557) | ( _u556 != _u557) )).
% 15.12/15.30 cnf(matrix-424, plain, ( ~class_Orderings_Oorder(_u555) | ~c_Orderings_Oord__class_Oless__eq(_u555, _u556, _u557) | ( _u556 = _u557) | c_Orderings_Oord__class_Oless(_u555, _u556, _u557) )).
% 15.12/15.30 cnf(matrix-425, plain, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless(_u558, _u559, _u560) | c_Orderings_Oord__class_Oless__eq(_u558, _u559, _u560) )).
% 15.12/15.30 cnf(matrix-426, plain, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless(_u558, _u559, _u560) | ~c_Orderings_Oord__class_Oless__eq(_u558, _u560, _u559) )).
% 15.12/15.30 cnf(matrix-427, plain, ( ~class_Orderings_Opreorder(_u558) | ~c_Orderings_Oord__class_Oless__eq(_u558, _u559, _u560) | c_Orderings_Oord__class_Oless__eq(_u558, _u560, _u559) | c_Orderings_Oord__class_Oless(_u558, _u559, _u560) )).
% 15.12/15.30 cnf(matrix-428, plain, ( ~class_Orderings_Oorder(_u561) | ~c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | c_Orderings_Oord__class_Oless(_u561, _u562, _u563) | ( _u562 = _u563) )).
% 15.12/15.30 cnf(matrix-429, plain, ( ~class_Orderings_Oorder(_u561) | c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | ~c_Orderings_Oord__class_Oless(_u561, _u562, _u563) )).
% 15.12/15.30 cnf(matrix-430, plain, ( ~class_Orderings_Oorder(_u561) | c_Orderings_Oord__class_Oless__eq(_u561, _u562, _u563) | ( _u562 != _u563) )).
% 15.12/15.30 cnf(matrix-431, plain, ( ~class_Orderings_Olinorder(_u564) | c_Orderings_Oord__class_Oless(_u564, _u565, _u566) | c_Orderings_Oord__class_Oless__eq(_u564, _u566, _u565) )).
% 15.12/15.30 cnf(matrix-432, plain, ( ~class_Orderings_Olinorder(_u567) | c_Orderings_Oord__class_Oless__eq(_u567, _u568, _u569) | c_Orderings_Oord__class_Oless(_u567, _u569, _u568) )).
% 15.12/15.30 cnf(matrix-433, plain, ( ~class_Orderings_Oord(_u572) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u573, _u572), _u574, _u575) | c_Orderings_Oord__class_Oless__eq(_u572, hAPP(_u574, _u570), hAPP(_u575, _u570)) )).
% 15.12/15.30 cnf(matrix-434, plain, ( ~class_Orderings_Oord(_u572) | ~c_Orderings_Oord__class_Oless__eq(_u572, hAPP(_u574, skolem4(_u575, _u574, _u573, _u572)), hAPP(_u575, skolem4(_u575, _u574, _u573, _u572))) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u573, _u572), _u574, _u575) )).
% 15.12/15.30 cnf(matrix-435, plain, ( ~class_Orderings_Olinorder(_u576) | c_Orderings_Oord__class_Oless__eq(_u576, _u577, _u578) | c_Orderings_Oord__class_Oless__eq(_u576, _u578, _u577) )).
% 15.12/15.30 cnf(matrix-436, plain, ( ~class_Orderings_Oorder(_u579) | ( _u580 != _u581) | c_Orderings_Oord__class_Oless__eq(_u579, _u580, _u581) )).
% 15.12/15.30 cnf(matrix-437, plain, ( ~class_Orderings_Oorder(_u579) | ( _u580 != _u581) | c_Orderings_Oord__class_Oless__eq(_u579, _u581, _u580) )).
% 15.12/15.30 cnf(matrix-438, plain, ( ~class_Orderings_Oorder(_u579) | ~c_Orderings_Oord__class_Oless__eq(_u579, _u580, _u581) | ~c_Orderings_Oord__class_Oless__eq(_u579, _u581, _u580) | ( _u580 = _u581) )).
% 15.12/15.30 cnf(matrix-439, plain, ( ~class_Orderings_Opreorder(_u582) | ( _u583 != _u584) | c_Orderings_Oord__class_Oless__eq(_u582, _u583, _u584) )).
% 15.12/15.30 cnf(matrix-440, plain, ( ~class_Orderings_Oord(_u585) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u586, _u585), _u587, _u588) | c_Orderings_Oord__class_Oless__eq(_u585, hAPP(_u587, _u589), hAPP(_u588, _u589)) )).
% 15.12/15.30 cnf(matrix-441, plain, ( ~class_Orderings_Oorder(_u590) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u591, _u592) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u592, _u591) | ( _u592 = _u591) )).
% 15.12/15.30 cnf(matrix-442, plain, ( ~class_Orderings_Oorder(_u590) | ~c_Orderings_Oord__class_Oless__eq(_u590, _u591, _u592) | ( _u592 != _u591) | c_Orderings_Oord__class_Oless__eq(_u590, _u592, _u591) )).
% 15.12/15.30 cnf(matrix-443, plain, ( ~class_Orderings_Oord(_u593) | ( _u594 != _u595) | ~c_Orderings_Oord__class_Oless__eq(_u593, _u595, _u596) | c_Orderings_Oord__class_Oless__eq(_u593, _u594, _u596) )).
% 15.12/15.30 cnf(matrix-444, plain, ( ~class_Orderings_Oorder(_u597) | ( _u598 != _u599) | ~c_Orderings_Oord__class_Oless__eq(_u597, _u600, _u599) | c_Orderings_Oord__class_Oless__eq(_u597, _u600, _u598) )).
% 15.12/15.30 cnf(matrix-445, plain, ( ~class_Orderings_Oord(_u601) | ~c_Orderings_Oord__class_Oless__eq(_u601, _u602, _u603) | ( _u603 != _u604) | c_Orderings_Oord__class_Oless__eq(_u601, _u602, _u604) )).
% 15.12/15.30 cnf(matrix-446, plain, ( ~class_Orderings_Oorder(_u605) | ~c_Orderings_Oord__class_Oless__eq(_u605, _u606, _u607) | ( _u606 != _u608) | c_Orderings_Oord__class_Oless__eq(_u605, _u608, _u607) )).
% 15.12/15.30 cnf(matrix-447, plain, ( ~class_Orderings_Oorder(_u609) | ~c_Orderings_Oord__class_Oless__eq(_u609, _u610, _u611) | ~c_Orderings_Oord__class_Oless__eq(_u609, _u611, _u610) | ( _u610 = _u611) )).
% 15.12/15.30 cnf(matrix-448, plain, ( ~class_Orderings_Opreorder(_u612) | ~c_Orderings_Oord__class_Oless__eq(_u612, _u613, _u614) | ~c_Orderings_Oord__class_Oless__eq(_u612, _u614, _u615) | c_Orderings_Oord__class_Oless__eq(_u612, _u613, _u615) )).
% 15.12/15.30 cnf(matrix-449, plain, ( ~class_Orderings_Oorder(_u616) | ~c_Orderings_Oord__class_Oless__eq(_u616, _u617, _u618) | ~c_Orderings_Oord__class_Oless__eq(_u616, _u618, _u617) | ( _u618 = _u617) )).
% 15.12/15.30 cnf(matrix-450, plain, ( ~class_Orderings_Oorder(_u619) | ~c_Orderings_Oord__class_Oless__eq(_u619, _u620, _u621) | ~c_Orderings_Oord__class_Oless__eq(_u619, _u622, _u620) | c_Orderings_Oord__class_Oless__eq(_u619, _u622, _u621) )).
% 15.12/15.30 cnf(matrix-451, plain, ( ~class_Orderings_Oord(_u623) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u624, _u623), _u625, _u626) | c_Orderings_Oord__class_Oless__eq(_u623, hAPP(_u625, _u627), hAPP(_u626, _u627)) )).
% 15.12/15.30 cnf(matrix-452, plain, ( ~class_Orderings_Olinorder(_u628) | c_Orderings_Oord__class_Oless__eq(_u628, _u629, _u630) | c_Orderings_Oord__class_Oless__eq(_u628, _u630, _u629) )).
% 15.12/15.30 cnf(matrix-453, plain, ( ~class_Orderings_Olinorder(_u631) | c_Orderings_Oord__class_Oless(_u631, _u632, _u633) | ( _u632 = _u633) | c_Orderings_Oord__class_Oless(_u631, _u633, _u632) )).
% 15.12/15.30 cnf(matrix-454, plain, ( ~class_Orderings_Opreorder(_u634) | ~c_Orderings_Oord__class_Oless(_u634, _u635, _u636) | ~c_Orderings_Oord__class_Oless(_u634, _u636, _u635) )).
% 15.12/15.30 cnf(matrix-455, plain, ( ~class_Orderings_Oorder(_u637) | ~c_Orderings_Oord__class_Oless(_u637, _u638, _u639) | ~c_Orderings_Oord__class_Oless(_u637, _u640, _u638) | c_Orderings_Oord__class_Oless(_u637, _u640, _u639) )).
% 15.12/15.30 cnf(matrix-456, plain, ( ~class_Orderings_Opreorder(_u641) | ~c_Orderings_Oord__class_Oless(_u641, _u642, _u643) | ~c_Orderings_Oord__class_Oless(_u641, _u643, _u644) | c_Orderings_Oord__class_Oless(_u641, _u642, _u644) )).
% 15.12/15.30 cnf(matrix-457, plain, ( ~class_Orderings_Oorder(_u645) | ~c_Orderings_Oord__class_Oless(_u645, _u646, _u647) | ( _u646 != _u648) | c_Orderings_Oord__class_Oless(_u645, _u648, _u647) )).
% 15.12/15.30 cnf(matrix-458, plain, ( ~class_Orderings_Oord(_u649) | ~c_Orderings_Oord__class_Oless(_u649, _u650, _u651) | ( _u651 != _u652) | c_Orderings_Oord__class_Oless(_u649, _u650, _u652) )).
% 15.12/15.30 cnf(matrix-459, plain, ( ~class_Orderings_Oorder(_u653) | ( _u654 != _u655) | ~c_Orderings_Oord__class_Oless(_u653, _u656, _u655) | c_Orderings_Oord__class_Oless(_u653, _u656, _u654) )).
% 15.12/15.30 cnf(matrix-460, plain, ( ~class_Orderings_Oord(_u657) | ( _u658 != _u659) | ~c_Orderings_Oord__class_Oless(_u657, _u659, _u660) | c_Orderings_Oord__class_Oless(_u657, _u658, _u660) )).
% 15.12/15.30 cnf(matrix-461, plain, ( ~class_Orderings_Oorder(_u661) | ~c_Orderings_Oord__class_Oless(_u661, _u662, _u663) | ~c_Orderings_Oord__class_Oless(_u661, _u663, _u662) )).
% 15.12/15.30 cnf(matrix-462, plain, ( ~class_Orderings_Opreorder(_u664) | ~c_Orderings_Oord__class_Oless(_u664, _u665, _u666) | ~c_Orderings_Oord__class_Oless(_u664, _u666, _u665) )).
% 15.12/15.30 cnf(matrix-463, plain, ( ~class_Orderings_Oorder(_u667) | ~c_Orderings_Oord__class_Oless(_u667, _u668, _u669) | ( _u669 != _u668) )).
% 15.12/15.30 cnf(matrix-464, plain, ( ~class_Orderings_Oorder(_u670) | ~c_Orderings_Oord__class_Oless(_u670, _u671, _u672) | ( _u671 != _u672) )).
% 15.12/15.30 cnf(matrix-465, plain, ( ~class_Orderings_Opreorder(_u673) | ~c_Orderings_Oord__class_Oless(_u673, _u674, _u675) | ~c_Orderings_Oord__class_Oless(_u673, _u675, _u674) )).
% 15.12/15.30 cnf(matrix-466, plain, ( ~class_Orderings_Opreorder(_u676) | ~c_Orderings_Oord__class_Oless(_u676, _u677, _u678) | ~c_Orderings_Oord__class_Oless(_u676, _u678, _u677) )).
% 15.12/15.30 cnf(matrix-467, plain, ( ~class_Orderings_Oorder(_u679) | ~c_Orderings_Oord__class_Oless(_u679, _u680, _u681) | ( _u680 != _u681) )).
% 15.12/15.30 cnf(matrix-468, plain, ( ~class_Orderings_Olinorder(_u682) | ( _u683 = _u684) | c_Orderings_Oord__class_Oless(_u682, _u683, _u684) | c_Orderings_Oord__class_Oless(_u682, _u684, _u683) )).
% 15.12/15.30 cnf(matrix-469, plain, ( ~class_Orderings_Olinorder(_u685) | c_Orderings_Oord__class_Oless(_u685, _u686, _u687) | c_Orderings_Oord__class_Oless(_u685, _u687, _u686) | ( _u687 = _u686) )).
% 15.12/15.30 cnf(matrix-470, plain, ( ~class_Orderings_Olinorder(_u685) | c_Orderings_Oord__class_Oless(_u685, _u686, _u687) | ( _u687 != _u686) | ~c_Orderings_Oord__class_Oless(_u685, _u687, _u686) )).
% 15.12/15.30 cnf(matrix-471, plain, ( ~class_Orderings_Olinorder(_u688) | c_Orderings_Oord__class_Oless(_u688, _u689, _u690) | ( _u689 = _u690) | c_Orderings_Oord__class_Oless(_u688, _u690, _u689) )).
% 15.12/15.30 cnf(matrix-472, plain, ( ~class_Orderings_Olinorder(_u691) | c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | c_Orderings_Oord__class_Oless(_u691, _u693, _u692) | ( _u692 = _u693) )).
% 15.12/15.30 cnf(matrix-473, plain, ( ~class_Orderings_Olinorder(_u691) | ~c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | ~c_Orderings_Oord__class_Oless(_u691, _u693, _u692) )).
% 15.12/15.30 cnf(matrix-474, plain, ( ~class_Orderings_Olinorder(_u691) | ~c_Orderings_Oord__class_Oless(_u691, _u692, _u693) | ( _u692 != _u693) )).
% 15.12/15.30 cnf(matrix-475, plain, ( ~class_Orderings_Olinorder(_u694) | ( _u695 = _u696) | c_Orderings_Oord__class_Oless(_u694, _u695, _u696) | c_Orderings_Oord__class_Oless(_u694, _u696, _u695) )).
% 15.12/15.30 cnf(matrix-476, plain, ( ~class_Orderings_Olinorder(_u694) | ( _u695 != _u696) | ~c_Orderings_Oord__class_Oless(_u694, _u695, _u696) )).
% 15.12/15.30 cnf(matrix-477, plain, ( ~class_Orderings_Olinorder(_u694) | ( _u695 != _u696) | ~c_Orderings_Oord__class_Oless(_u694, _u696, _u695) )).
% 15.12/15.30 cnf(matrix-478, plain, ( ~class_Orderings_Opreorder(_u697) | ~c_Orderings_Oord__class_Oless(_u697, _u698, _u698) )).
% 15.12/15.30 cnf(matrix-479, plain, ( ~class_Orderings_Oorder(_u699) | ~c_Orderings_Oord__class_Oless__eq(_u699, _u700, _u701) | ~c_Orderings_Oord__class_Oless(_u699, _u702, _u700) | c_Orderings_Oord__class_Oless(_u699, _u702, _u701) )).
% 15.12/15.30 cnf(matrix-480, plain, ( ~class_Orderings_Opreorder(_u703) | ~c_Orderings_Oord__class_Oless__eq(_u703, _u704, _u705) | ~c_Orderings_Oord__class_Oless(_u703, _u705, _u706) | c_Orderings_Oord__class_Oless(_u703, _u704, _u706) )).
% 15.12/15.30 cnf(matrix-481, plain, ( ~class_Orderings_Oorder(_u707) | ~c_Orderings_Oord__class_Oless(_u707, _u708, _u709) | ~c_Orderings_Oord__class_Oless__eq(_u707, _u710, _u708) | c_Orderings_Oord__class_Oless(_u707, _u710, _u709) )).
% 15.12/15.30 cnf(matrix-482, plain, ( ~class_Orderings_Opreorder(_u711) | ~c_Orderings_Oord__class_Oless(_u711, _u712, _u713) | ~c_Orderings_Oord__class_Oless__eq(_u711, _u713, _u714) | c_Orderings_Oord__class_Oless(_u711, _u712, _u714) )).
% 15.12/15.30 cnf(matrix-483, plain, ( ~class_Orderings_Oorder(_u715) | ~c_Orderings_Oord__class_Oless__eq(_u715, _u716, _u717) | ( _u717 = _u716) | c_Orderings_Oord__class_Oless(_u715, _u716, _u717) )).
% 15.12/15.30 cnf(matrix-484, plain, ( ~class_Orderings_Oorder(_u718) | ~c_Orderings_Oord__class_Oless__eq(_u718, _u719, _u720) | ( _u719 = _u720) | c_Orderings_Oord__class_Oless(_u718, _u719, _u720) )).
% 15.12/15.30 cnf(matrix-485, plain, ( ~class_Orderings_Oorder(_u721) | ~c_Orderings_Oord__class_Oless__eq(_u721, _u722, _u723) | c_Orderings_Oord__class_Oless(_u721, _u722, _u723) | ( _u722 = _u723) )).
% 15.12/15.30 cnf(matrix-486, plain, ( ~class_Orderings_Olinorder(_u724) | ~c_Orderings_Oord__class_Oless__eq(_u724, _u725, _u726) | c_Orderings_Oord__class_Oless(_u724, _u725, _u726) | ( _u725 = _u726) )).
% 15.12/15.30 cnf(matrix-487, plain, ( ~class_Orderings_Olinorder(_u724) | ~c_Orderings_Oord__class_Oless__eq(_u724, _u725, _u726) | ( _u725 != _u726) | ~c_Orderings_Oord__class_Oless(_u724, _u725, _u726) )).
% 15.12/15.30 cnf(matrix-488, plain, ( ~class_Orderings_Opreorder(_u727) | ~c_Orderings_Oord__class_Oless(_u727, _u728, _u729) | c_Orderings_Oord__class_Oless__eq(_u727, _u728, _u729) )).
% 15.12/15.30 cnf(matrix-489, plain, ( ~class_Orderings_Olinorder(_u730) | ~c_Orderings_Oord__class_Oless__eq(_u730, _u731, _u732) | ~c_Orderings_Oord__class_Oless(_u730, _u732, _u731) )).
% 15.12/15.30 cnf(matrix-490, plain, ( ~class_Orderings_Oorder(_u733) | ( _u734 = _u735) | ~c_Orderings_Oord__class_Oless__eq(_u733, _u735, _u734) | c_Orderings_Oord__class_Oless(_u733, _u735, _u734) )).
% 15.12/15.30 cnf(matrix-491, plain, ( ~class_Orderings_Oorder(_u736) | ( _u737 = _u738) | ~c_Orderings_Oord__class_Oless__eq(_u736, _u737, _u738) | c_Orderings_Oord__class_Oless(_u736, _u737, _u738) )).
% 15.12/15.30 cnf(matrix-492, plain, ( ~class_Orderings_Olinorder(_u739) | c_Orderings_Oord__class_Oless(_u739, _u740, _u741) | ~c_Orderings_Oord__class_Oless__eq(_u739, _u740, _u741) | ( _u740 = _u741) )).
% 15.12/15.30 cnf(matrix-493, plain, ( ~class_Orderings_Olinorder(_u739) | c_Orderings_Oord__class_Oless(_u739, _u740, _u741) | ( _u740 != _u741) | c_Orderings_Oord__class_Oless__eq(_u739, _u740, _u741) )).
% 15.12/15.30 cnf(matrix-494, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | c_Orderings_Oord__class_Oless(_u743, c_Groups_Ozero__class_Ozero(_u743), skolem5(_u745, _u744, _u743)) )).
% 15.12/15.30 cnf(matrix-495, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | c_Orderings_Oord__class_Oless(_u743, skolem5(_u745, _u744, _u743), c_Groups_Oone__class_Oone(_u743)) )).
% 15.12/15.30 cnf(matrix-496, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u743) | c_Orderings_Oord__class_Oless__eq(_u743, _u744, _u745) | ~c_Orderings_Oord__class_Oless__eq(_u743, hAPP(c_Groups_Otimes__class_Otimes(_u743, skolem5(_u745, _u744, _u743)), _u744), _u745) )).
% 15.12/15.30 cnf(matrix-497, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u746) | ~c_Orderings_Oord__class_Oless(_u746, _u747, _u748) | ~c_Orderings_Oord__class_Oless(_u746, _u749, _u748) | ~c_Orderings_Oord__class_Oless__eq(_u746, c_Groups_Ozero__class_Ozero(_u746), _u750) | ~c_Orderings_Oord__class_Oless__eq(_u746, c_Groups_Ozero__class_Ozero(_u746), _u751) | ( c_Groups_Oplus__class_Oplus(_u746, _u750, _u751) != c_Groups_Oone__class_Oone(_u746)) | c_Orderings_Oord__class_Oless(_u746, c_Groups_Oplus__class_Oplus(_u746, hAPP(c_Groups_Otimes__class_Otimes(_u746, _u750), _u747), hAPP(c_Groups_Otimes__class_Otimes(_u746, _u751), _u749)), _u748) )).
% 15.12/15.30 cnf(matrix-498, plain, ( ~class_Rings_Olinordered__semiring__1(_u752) | ~c_Orderings_Oord__class_Oless__eq(_u752, _u753, _u754) | ~c_Orderings_Oord__class_Oless__eq(_u752, _u755, _u754) | ~c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Ozero__class_Ozero(_u752), _u756) | ~c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Ozero__class_Ozero(_u752), _u757) | ( c_Groups_Oplus__class_Oplus(_u752, _u756, _u757) != c_Groups_Oone__class_Oone(_u752)) | c_Orderings_Oord__class_Oless__eq(_u752, c_Groups_Oplus__class_Oplus(_u752, hAPP(c_Groups_Otimes__class_Otimes(_u752, _u756), _u753), hAPP(c_Groups_Otimes__class_Otimes(_u752, _u757), _u755)), _u754) )).
% 15.12/15.30 cnf(matrix-499, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) | c_Orderings_Oord__class_Oless(_u758, c_Groups_Ozero__class_Ozero(_u758), _u759) )).
% 15.12/15.30 cnf(matrix-500, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) | c_Orderings_Oord__class_Oless__eq(_u758, _u759, c_Groups_Oone__class_Oone(_u758)) )).
% 15.12/15.30 cnf(matrix-501, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u758) | ~c_Orderings_Oord__class_Oless(_u758, c_Groups_Ozero__class_Ozero(_u758), _u759) | ~c_Orderings_Oord__class_Oless__eq(_u758, _u759, c_Groups_Oone__class_Oone(_u758)) | c_Orderings_Oord__class_Oless__eq(_u758, c_Groups_Oone__class_Oone(_u758), c_Rings_Oinverse__class_Oinverse(_u758, _u759)) )).
% 15.12/15.30 cnf(matrix-502, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | ~c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | c_Orderings_Oord__class_Oless__eq(_u760, _u761, c_Groups_Ozero__class_Ozero(_u760)) | c_Orderings_Oord__class_Oless(_u760, c_Groups_Oone__class_Oone(_u760), _u761) )).
% 15.12/15.30 cnf(matrix-503, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | ~c_Orderings_Oord__class_Oless__eq(_u760, _u761, c_Groups_Ozero__class_Ozero(_u760)) )).
% 15.12/15.30 cnf(matrix-504, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u760) | c_Orderings_Oord__class_Oless(_u760, c_Rings_Oinverse__class_Oinverse(_u760, _u761), c_Groups_Oone__class_Oone(_u760)) | ~c_Orderings_Oord__class_Oless(_u760, c_Groups_Oone__class_Oone(_u760), _u761) )).
% 15.12/15.30 cnf(matrix-505, plain, ( ~class_Fields_Olinordered__field(_u762) | ~c_Orderings_Oord__class_Oless(_u762, c_Groups_Ozero__class_Ozero(_u762), _u763) | ~c_Orderings_Oord__class_Oless__eq(_u762, _u763, c_Groups_Oone__class_Oone(_u762)) | c_Orderings_Oord__class_Oless__eq(_u762, c_Groups_Oone__class_Oone(_u762), c_Rings_Oinverse__class_Oinverse(_u762, _u763)) )).
% 15.12/15.30 cnf(matrix-506, plain, ( ~class_Rings_Olinordered__idom(_u764) | ( c_Groups_Osgn__class_Osgn(_u764, _u765) != c_Groups_Oone__class_Oone(_u764)) | c_Orderings_Oord__class_Oless(_u764, c_Groups_Ozero__class_Ozero(_u764), _u765) )).
% 15.12/15.30 cnf(matrix-507, plain, ( ~class_Rings_Olinordered__idom(_u764) | ~c_Orderings_Oord__class_Oless(_u764, c_Groups_Ozero__class_Ozero(_u764), _u765) | ( c_Groups_Osgn__class_Osgn(_u764, _u765) = c_Groups_Oone__class_Oone(_u764)) )).
% 15.12/15.30 cnf(matrix-508, plain, ( ~class_Rings_Olinordered__idom(_u766) | ~c_Orderings_Oord__class_Oless(_u766, c_Groups_Ozero__class_Ozero(_u766), _u767) | ( c_Groups_Osgn__class_Osgn(_u766, _u767) = c_Groups_Oone__class_Oone(_u766)) )).
% 15.12/15.30 cnf(matrix-509, plain, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u770, _u771) )).
% 15.12/15.30 cnf(matrix-510, plain, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u771, _u770) )).
% 15.12/15.30 cnf(matrix-511, plain, ( ~class_Orderings_Oord(_u768) | ~c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u770, _u771) | c_Orderings_Oord__class_Oless__eq(tc_fun(_u769, _u768), _u771, _u770) | c_Orderings_Oord__class_Oless(tc_fun(_u769, _u768), _u770, _u771) )).
% 15.12/15.30 cnf(matrix-512, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u772) | ( c_Rings_Oinverse__class_Oinverse(_u772, c_Rings_Oinverse__class_Oinverse(_u772, _u773)) = _u773) )).
% 15.12/15.30 cnf(matrix-513, plain, ( ~class_Rings_Olinordered__idom(_u774) | ( c_Groups_Osgn__class_Osgn(_u774, c_Groups_Osgn__class_Osgn(_u774, _u775)) = c_Groups_Osgn__class_Osgn(_u774, _u775)) )).
% 15.12/15.30 cnf(matrix-514, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u776) | ( c_Rings_Oinverse__class_Oinverse(_u776, _u777) != c_Rings_Oinverse__class_Oinverse(_u776, _u778)) | ( _u777 = _u778) )).
% 15.12/15.30 cnf(matrix-515, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u776) | ( _u777 != _u778) | ( c_Rings_Oinverse__class_Oinverse(_u776, _u777) = c_Rings_Oinverse__class_Oinverse(_u776, _u778)) )).
% 15.12/15.30 cnf(matrix-516, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u779) | ( c_Rings_Oinverse__class_Oinverse(_u779, _u780) != c_Rings_Oinverse__class_Oinverse(_u779, _u781)) | ( _u780 = _u781) )).
% 15.12/15.30 cnf(matrix-517, plain, ( ~class_Rings_Ocomm__semiring__1(_u782) | ( c_Groups_Oplus__class_Oplus(_u782, _u783, _u784) = c_Groups_Oplus__class_Oplus(_u782, _u784, _u783)) )).
% 15.12/15.30 cnf(matrix-518, plain, ( ~class_Rings_Ocomm__semiring__1(_u785) | ( c_Groups_Oplus__class_Oplus(_u785, _u786, c_Groups_Oplus__class_Oplus(_u785, _u787, _u788)) = c_Groups_Oplus__class_Oplus(_u785, _u787, c_Groups_Oplus__class_Oplus(_u785, _u786, _u788))) )).
% 15.12/15.30 cnf(matrix-519, plain, ( ~class_Rings_Ocomm__semiring__1(_u789) | ( c_Groups_Oplus__class_Oplus(_u789, _u790, c_Groups_Oplus__class_Oplus(_u789, _u791, _u792)) = c_Groups_Oplus__class_Oplus(_u789, c_Groups_Oplus__class_Oplus(_u789, _u790, _u791), _u792)) )).
% 15.12/15.30 cnf(matrix-520, plain, ( ~class_Rings_Ocomm__semiring__1(_u793) | ( c_Groups_Oplus__class_Oplus(_u793, c_Groups_Oplus__class_Oplus(_u793, _u794, _u795), _u796) = c_Groups_Oplus__class_Oplus(_u793, _u794, c_Groups_Oplus__class_Oplus(_u793, _u795, _u796))) )).
% 15.12/15.30 cnf(matrix-521, plain, ( ~class_Rings_Ocomm__semiring__1(_u797) | ( c_Groups_Oplus__class_Oplus(_u797, c_Groups_Oplus__class_Oplus(_u797, _u798, _u799), _u800) = c_Groups_Oplus__class_Oplus(_u797, c_Groups_Oplus__class_Oplus(_u797, _u798, _u800), _u799)) )).
% 15.12/15.30 cnf(matrix-522, plain, ( ~class_Rings_Ocomm__semiring__1(_u801) | ( c_Groups_Oplus__class_Oplus(_u801, c_Groups_Oplus__class_Oplus(_u801, _u802, _u803), c_Groups_Oplus__class_Oplus(_u801, _u804, _u805)) = c_Groups_Oplus__class_Oplus(_u801, c_Groups_Oplus__class_Oplus(_u801, _u802, _u804), c_Groups_Oplus__class_Oplus(_u801, _u803, _u805))) )).
% 15.12/15.30 cnf(matrix-523, plain, ( ~class_Groups_Oab__semigroup__add(_u806) | ( c_Groups_Oplus__class_Oplus(_u806, c_Groups_Oplus__class_Oplus(_u806, _u807, _u808), _u809) = c_Groups_Oplus__class_Oplus(_u806, _u807, c_Groups_Oplus__class_Oplus(_u806, _u808, _u809))) )).
% 15.12/15.30 cnf(matrix-524, plain, ( ~class_Groups_Ocancel__semigroup__add(_u810) | ( c_Groups_Oplus__class_Oplus(_u810, _u811, _u812) != c_Groups_Oplus__class_Oplus(_u810, _u811, _u813)) | ( _u812 = _u813) )).
% 15.12/15.30 cnf(matrix-525, plain, ( ~class_Groups_Ocancel__semigroup__add(_u810) | ( _u812 != _u813) | ( c_Groups_Oplus__class_Oplus(_u810, _u811, _u812) = c_Groups_Oplus__class_Oplus(_u810, _u811, _u813)) )).
% 15.12/15.30 cnf(matrix-526, plain, ( ~class_Groups_Ocancel__semigroup__add(_u814) | ( c_Groups_Oplus__class_Oplus(_u814, _u815, _u816) != c_Groups_Oplus__class_Oplus(_u814, _u817, _u816)) | ( _u815 = _u817) )).
% 15.12/15.30 cnf(matrix-527, plain, ( ~class_Groups_Ocancel__semigroup__add(_u814) | ( _u815 != _u817) | ( c_Groups_Oplus__class_Oplus(_u814, _u815, _u816) = c_Groups_Oplus__class_Oplus(_u814, _u817, _u816)) )).
% 15.12/15.30 cnf(matrix-528, plain, ( ~class_Groups_Ocancel__semigroup__add(_u818) | ( c_Groups_Oplus__class_Oplus(_u818, _u819, _u820) != c_Groups_Oplus__class_Oplus(_u818, _u819, _u821)) | ( _u820 = _u821) )).
% 15.12/15.30 cnf(matrix-529, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u822) | ( c_Groups_Oplus__class_Oplus(_u822, _u823, _u824) != c_Groups_Oplus__class_Oplus(_u822, _u823, _u825)) | ( _u824 = _u825) )).
% 15.12/15.30 cnf(matrix-530, plain, ( ~class_Groups_Ocancel__semigroup__add(_u826) | ( c_Groups_Oplus__class_Oplus(_u826, _u827, _u828) != c_Groups_Oplus__class_Oplus(_u826, _u829, _u828)) | ( _u827 = _u829) )).
% 15.12/15.30 cnf(matrix-531, plain, ( ~class_Fields_Ofield(_u830) | ( _u831 = c_Groups_Ozero__class_Ozero(_u830)) | ( _u832 = c_Groups_Ozero__class_Ozero(_u830)) | ( c_Groups_Oplus__class_Oplus(_u830, c_Rings_Oinverse__class_Oinverse(_u830, _u831), c_Rings_Oinverse__class_Oinverse(_u830, _u832)) = hAPP(c_Groups_Otimes__class_Otimes(_u830, hAPP(c_Groups_Otimes__class_Otimes(_u830, c_Groups_Oplus__class_Oplus(_u830, _u831, _u832)), c_Rings_Oinverse__class_Oinverse(_u830, _u831))), c_Rings_Oinverse__class_Oinverse(_u830, _u832))) )).
% 15.12/15.30 cnf(matrix-532, plain, ( ~class_Rings_Odivision__ring(_u833) | ( _u834 = c_Groups_Ozero__class_Ozero(_u833)) | ( _u835 = c_Groups_Ozero__class_Ozero(_u833)) | ( c_Groups_Oplus__class_Oplus(_u833, c_Rings_Oinverse__class_Oinverse(_u833, _u834), c_Rings_Oinverse__class_Oinverse(_u833, _u835)) = hAPP(c_Groups_Otimes__class_Otimes(_u833, hAPP(c_Groups_Otimes__class_Otimes(_u833, c_Rings_Oinverse__class_Oinverse(_u833, _u834)), c_Groups_Oplus__class_Oplus(_u833, _u834, _u835))), c_Rings_Oinverse__class_Oinverse(_u833, _u835))) )).
% 15.12/15.30 cnf(matrix-533, plain, ( ~class_Fields_Ofield__inverse__zero(_u836) | ( c_Rings_Oinverse__class_Oinverse(_u836, c_Groups_Ozero__class_Ozero(_u836)) = c_Groups_Ozero__class_Ozero(_u836)) )).
% 15.12/15.30 cnf(matrix-534, plain, ( ~class_Rings_Odivision__ring(_u837) | ( c_Rings_Oinverse__class_Oinverse(_u837, _u838) != c_Rings_Oinverse__class_Oinverse(_u837, _u839)) | ( _u838 = c_Groups_Ozero__class_Ozero(_u837)) | ( _u839 = c_Groups_Ozero__class_Ozero(_u837)) | ( _u838 = _u839) )).
% 15.12/15.30 cnf(matrix-535, plain, ( ~class_Rings_Odivision__ring(_u840) | ( c_Rings_Oinverse__class_Oinverse(_u840, _u841) != c_Groups_Ozero__class_Ozero(_u840)) | ( _u841 = c_Groups_Ozero__class_Ozero(_u840)) )).
% 15.12/15.30 cnf(matrix-536, plain, ( ~class_Rings_Odivision__ring(_u842) | ( _u843 = c_Groups_Ozero__class_Ozero(_u842)) | ( c_Rings_Oinverse__class_Oinverse(_u842, c_Rings_Oinverse__class_Oinverse(_u842, _u843)) = _u843) )).
% 15.12/15.30 cnf(matrix-537, plain, ( ~class_Rings_Odivision__ring(_u844) | ( _u845 = c_Groups_Ozero__class_Ozero(_u844)) | ( c_Rings_Oinverse__class_Oinverse(_u844, _u845) != c_Groups_Ozero__class_Ozero(_u844)) )).
% 15.12/15.30 cnf(matrix-538, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u846) | ( c_Rings_Oinverse__class_Oinverse(_u846, _u847) != c_Groups_Ozero__class_Ozero(_u846)) | ( _u847 = c_Groups_Ozero__class_Ozero(_u846)) )).
% 15.12/15.30 cnf(matrix-539, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u846) | ( _u847 != c_Groups_Ozero__class_Ozero(_u846)) | ( c_Rings_Oinverse__class_Oinverse(_u846, _u847) = c_Groups_Ozero__class_Ozero(_u846)) )).
% 15.12/15.30 cnf(matrix-540, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u848) | ( c_Rings_Oinverse__class_Oinverse(_u848, c_Groups_Ozero__class_Ozero(_u848)) = c_Groups_Ozero__class_Ozero(_u848)) )).
% 15.12/15.30 cnf(matrix-541, plain, ( ~class_Fields_Ofield__inverse__zero(_u849) | ( c_Rings_Oinverse__class_Oinverse(_u849, hAPP(c_Groups_Otimes__class_Otimes(_u849, _u850), _u851)) = hAPP(c_Groups_Otimes__class_Otimes(_u849, c_Rings_Oinverse__class_Oinverse(_u849, _u850)), c_Rings_Oinverse__class_Oinverse(_u849, _u851))) )).
% 15.12/15.30 cnf(matrix-542, plain, ( ~class_Fields_Ofield__inverse__zero(_u852) | ( c_Rings_Oinverse__class_Oinverse(_u852, _u853) != c_Groups_Oone__class_Oone(_u852)) | ( _u853 = c_Groups_Oone__class_Oone(_u852)) )).
% 15.12/15.30 cnf(matrix-543, plain, ( ~class_Fields_Ofield__inverse__zero(_u852) | ( _u853 != c_Groups_Oone__class_Oone(_u852)) | ( c_Rings_Oinverse__class_Oinverse(_u852, _u853) = c_Groups_Oone__class_Oone(_u852)) )).
% 15.12/15.30 cnf(matrix-544, plain, ( ~class_Rings_Odivision__ring(_u854) | ( c_Rings_Oinverse__class_Oinverse(_u854, c_Groups_Oone__class_Oone(_u854)) = c_Groups_Oone__class_Oone(_u854)) )).
% 15.12/15.30 cnf(matrix-545, plain, ( ~class_Fields_Ofield__inverse__zero(_u855) | ( c_Rings_Oinverse__class_Oinverse(_u855, c_Rings_Oinverse__class_Odivide(_u855, _u856, _u857)) = c_Rings_Oinverse__class_Odivide(_u855, _u857, _u856)) )).
% 15.12/15.30 cnf(matrix-546, plain, ( ( c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-547, plain, ( ~class_Groups_Ocomm__monoid__add(_u858) | ( c_Groups_Oplus__class_Oplus(_u858, _u859, c_Groups_Ozero__class_Ozero(_u858)) = _u859) )).
% 15.12/15.30 cnf(matrix-548, plain, ( ~class_Groups_Omonoid__add(_u860) | ( c_Groups_Oplus__class_Oplus(_u860, _u861, c_Groups_Ozero__class_Ozero(_u860)) = _u861) )).
% 15.12/15.30 cnf(matrix-549, plain, ( ~class_Groups_Olinordered__ab__group__add(_u862) | ( c_Groups_Ozero__class_Ozero(_u862) != c_Groups_Oplus__class_Oplus(_u862, _u863, _u863)) | ( _u863 = c_Groups_Ozero__class_Ozero(_u862)) )).
% 15.12/15.30 cnf(matrix-550, plain, ( ~class_Groups_Olinordered__ab__group__add(_u862) | ( _u863 != c_Groups_Ozero__class_Ozero(_u862)) | ( c_Groups_Ozero__class_Ozero(_u862) = c_Groups_Oplus__class_Oplus(_u862, _u863, _u863)) )).
% 15.12/15.30 cnf(matrix-551, plain, ( ~class_Groups_Ocomm__monoid__add(_u864) | ( c_Groups_Oplus__class_Oplus(_u864, c_Groups_Ozero__class_Ozero(_u864), _u865) = _u865) )).
% 15.12/15.30 cnf(matrix-552, plain, ( ~class_Groups_Omonoid__add(_u866) | ( c_Groups_Oplus__class_Oplus(_u866, c_Groups_Ozero__class_Ozero(_u866), _u867) = _u867) )).
% 15.12/15.30 cnf(matrix-553, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u868) | ( _u869 != c_Groups_Oplus__class_Oplus(_u868, _u869, _u870)) | ( _u870 = c_Groups_Ozero__class_Ozero(_u868)) )).
% 15.12/15.30 cnf(matrix-554, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u868) | ( _u870 != c_Groups_Ozero__class_Ozero(_u868)) | ( _u869 = c_Groups_Oplus__class_Oplus(_u868, _u869, _u870)) )).
% 15.12/15.30 cnf(matrix-555, plain, ( ~class_Rings_Ocomm__semiring__1(_u871) | ( c_Groups_Oplus__class_Oplus(_u871, _u872, c_Groups_Ozero__class_Ozero(_u871)) = _u872) )).
% 15.12/15.30 cnf(matrix-556, plain, ( ~class_Rings_Ocomm__semiring__1(_u873) | ( c_Groups_Oplus__class_Oplus(_u873, c_Groups_Ozero__class_Ozero(_u873), _u874) = _u874) )).
% 15.12/15.30 cnf(matrix-557, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u875) | ~c_Orderings_Oord__class_Oless__eq(_u875, c_Groups_Oplus__class_Oplus(_u875, _u876, _u877), c_Groups_Oplus__class_Oplus(_u875, _u876, _u878)) | c_Orderings_Oord__class_Oless__eq(_u875, _u877, _u878) )).
% 15.12/15.30 cnf(matrix-558, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u879) | ~c_Orderings_Oord__class_Oless__eq(_u879, c_Groups_Oplus__class_Oplus(_u879, _u880, _u881), c_Groups_Oplus__class_Oplus(_u879, _u882, _u881)) | c_Orderings_Oord__class_Oless__eq(_u879, _u880, _u882) )).
% 15.12/15.30 cnf(matrix-559, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u883) | ~c_Orderings_Oord__class_Oless__eq(_u883, _u884, _u885) | ~c_Orderings_Oord__class_Oless__eq(_u883, _u886, _u887) | c_Orderings_Oord__class_Oless__eq(_u883, c_Groups_Oplus__class_Oplus(_u883, _u884, _u886), c_Groups_Oplus__class_Oplus(_u883, _u885, _u887)) )).
% 15.12/15.30 cnf(matrix-560, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u888) | ~c_Orderings_Oord__class_Oless__eq(_u888, _u889, _u890) | c_Orderings_Oord__class_Oless__eq(_u888, c_Groups_Oplus__class_Oplus(_u888, _u891, _u889), c_Groups_Oplus__class_Oplus(_u888, _u891, _u890)) )).
% 15.12/15.30 cnf(matrix-561, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u892) | ~c_Orderings_Oord__class_Oless__eq(_u892, _u893, _u894) | c_Orderings_Oord__class_Oless__eq(_u892, c_Groups_Oplus__class_Oplus(_u892, _u893, _u895), c_Groups_Oplus__class_Oplus(_u892, _u894, _u895)) )).
% 15.12/15.30 cnf(matrix-562, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u896) | ~c_Orderings_Oord__class_Oless__eq(_u896, c_Groups_Oplus__class_Oplus(_u896, _u897, _u898), c_Groups_Oplus__class_Oplus(_u896, _u897, _u899)) | c_Orderings_Oord__class_Oless__eq(_u896, _u898, _u899) )).
% 15.12/15.30 cnf(matrix-563, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u896) | ~c_Orderings_Oord__class_Oless__eq(_u896, _u898, _u899) | c_Orderings_Oord__class_Oless__eq(_u896, c_Groups_Oplus__class_Oplus(_u896, _u897, _u898), c_Groups_Oplus__class_Oplus(_u896, _u897, _u899)) )).
% 15.12/15.30 cnf(matrix-564, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u900) | ~c_Orderings_Oord__class_Oless__eq(_u900, c_Groups_Oplus__class_Oplus(_u900, _u901, _u902), c_Groups_Oplus__class_Oplus(_u900, _u903, _u902)) | c_Orderings_Oord__class_Oless__eq(_u900, _u901, _u903) )).
% 15.12/15.30 cnf(matrix-565, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u900) | ~c_Orderings_Oord__class_Oless__eq(_u900, _u901, _u903) | c_Orderings_Oord__class_Oless__eq(_u900, c_Groups_Oplus__class_Oplus(_u900, _u901, _u902), c_Groups_Oplus__class_Oplus(_u900, _u903, _u902)) )).
% 15.12/15.30 cnf(matrix-566, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u904) | ~c_Orderings_Oord__class_Oless(_u904, c_Groups_Oplus__class_Oplus(_u904, _u905, _u906), c_Groups_Oplus__class_Oplus(_u904, _u907, _u906)) | c_Orderings_Oord__class_Oless(_u904, _u905, _u907) )).
% 15.12/15.30 cnf(matrix-567, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u904) | ~c_Orderings_Oord__class_Oless(_u904, _u905, _u907) | c_Orderings_Oord__class_Oless(_u904, c_Groups_Oplus__class_Oplus(_u904, _u905, _u906), c_Groups_Oplus__class_Oplus(_u904, _u907, _u906)) )).
% 15.12/15.30 cnf(matrix-568, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u908) | ~c_Orderings_Oord__class_Oless(_u908, c_Groups_Oplus__class_Oplus(_u908, _u909, _u910), c_Groups_Oplus__class_Oplus(_u908, _u909, _u911)) | c_Orderings_Oord__class_Oless(_u908, _u910, _u911) )).
% 15.12/15.30 cnf(matrix-569, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u908) | ~c_Orderings_Oord__class_Oless(_u908, _u910, _u911) | c_Orderings_Oord__class_Oless(_u908, c_Groups_Oplus__class_Oplus(_u908, _u909, _u910), c_Groups_Oplus__class_Oplus(_u908, _u909, _u911)) )).
% 15.12/15.30 cnf(matrix-570, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u912) | ~c_Orderings_Oord__class_Oless(_u912, _u913, _u914) | c_Orderings_Oord__class_Oless(_u912, c_Groups_Oplus__class_Oplus(_u912, _u913, _u915), c_Groups_Oplus__class_Oplus(_u912, _u914, _u915)) )).
% 15.12/15.30 cnf(matrix-571, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u916) | ~c_Orderings_Oord__class_Oless(_u916, _u917, _u918) | c_Orderings_Oord__class_Oless(_u916, c_Groups_Oplus__class_Oplus(_u916, _u919, _u917), c_Groups_Oplus__class_Oplus(_u916, _u919, _u918)) )).
% 15.12/15.30 cnf(matrix-572, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u920) | ~c_Orderings_Oord__class_Oless(_u920, _u921, _u922) | ~c_Orderings_Oord__class_Oless(_u920, _u923, _u924) | c_Orderings_Oord__class_Oless(_u920, c_Groups_Oplus__class_Oplus(_u920, _u921, _u923), c_Groups_Oplus__class_Oplus(_u920, _u922, _u924)) )).
% 15.12/15.30 cnf(matrix-573, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u925) | ~c_Orderings_Oord__class_Oless(_u925, c_Groups_Oplus__class_Oplus(_u925, _u926, _u927), c_Groups_Oplus__class_Oplus(_u925, _u928, _u927)) | c_Orderings_Oord__class_Oless(_u925, _u926, _u928) )).
% 15.12/15.30 cnf(matrix-574, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u929) | ~c_Orderings_Oord__class_Oless(_u929, c_Groups_Oplus__class_Oplus(_u929, _u930, _u931), c_Groups_Oplus__class_Oplus(_u929, _u930, _u932)) | c_Orderings_Oord__class_Oless(_u929, _u931, _u932) )).
% 15.12/15.30 cnf(matrix-575, plain, ( ~class_RealVector_Oreal__normed__algebra(_u933) | ( hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), c_Groups_Oplus__class_Oplus(_u933, _u935, _u936)) = c_Groups_Oplus__class_Oplus(_u933, hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), _u935), hAPP(c_Groups_Otimes__class_Otimes(_u933, _u934), _u936))) )).
% 15.12/15.30 cnf(matrix-576, plain, ( ~class_RealVector_Oreal__normed__algebra(_u937) | ( hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), c_Groups_Oplus__class_Oplus(_u937, _u939, _u940)) = c_Groups_Oplus__class_Oplus(_u937, hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), _u939), hAPP(c_Groups_Otimes__class_Otimes(_u937, _u938), _u940))) )).
% 15.12/15.30 cnf(matrix-577, plain, ( ~class_RealVector_Oreal__normed__algebra(_u941) | ( hAPP(c_Groups_Otimes__class_Otimes(_u941, c_Groups_Oplus__class_Oplus(_u941, _u942, _u943)), _u944) = c_Groups_Oplus__class_Oplus(_u941, hAPP(c_Groups_Otimes__class_Otimes(_u941, _u942), _u944), hAPP(c_Groups_Otimes__class_Otimes(_u941, _u943), _u944))) )).
% 15.12/15.30 cnf(matrix-578, plain, ( ~class_RealVector_Oreal__normed__algebra(_u945) | ( hAPP(c_Groups_Otimes__class_Otimes(_u945, c_Groups_Oplus__class_Oplus(_u945, _u946, _u947)), _u948) = c_Groups_Oplus__class_Oplus(_u945, hAPP(c_Groups_Otimes__class_Otimes(_u945, _u946), _u948), hAPP(c_Groups_Otimes__class_Otimes(_u945, _u947), _u948))) )).
% 15.12/15.30 cnf(matrix-579, plain, ( ~class_Rings_Ocomm__semiring__1(_u949) | ( hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), c_Groups_Oplus__class_Oplus(_u949, _u951, _u952)) = c_Groups_Oplus__class_Oplus(_u949, hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), _u951), hAPP(c_Groups_Otimes__class_Otimes(_u949, _u950), _u952))) )).
% 15.12/15.30 cnf(matrix-580, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( _u954 = _u955) | ( _u956 = _u957) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) != c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) )).
% 15.12/15.30 cnf(matrix-581, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) = c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) | ( _u954 != _u955) )).
% 15.12/15.30 cnf(matrix-582, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u953) | ( c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u956), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u957)) = c_Groups_Oplus__class_Oplus(_u953, hAPP(c_Groups_Otimes__class_Otimes(_u953, _u954), _u957), hAPP(c_Groups_Otimes__class_Otimes(_u953, _u955), _u956))) | ( _u956 != _u957) )).
% 15.12/15.30 cnf(matrix-583, plain, ( ~class_Rings_Ocomm__semiring__1(_u958) | ( hAPP(c_Groups_Otimes__class_Otimes(_u958, c_Groups_Oplus__class_Oplus(_u958, _u959, _u960)), _u961) = c_Groups_Oplus__class_Oplus(_u958, hAPP(c_Groups_Otimes__class_Otimes(_u958, _u959), _u961), hAPP(c_Groups_Otimes__class_Otimes(_u958, _u960), _u961))) )).
% 15.12/15.30 cnf(matrix-584, plain, ( ~class_Rings_Ocomm__semiring__1(_u962) | ( c_Groups_Oplus__class_Oplus(_u962, hAPP(c_Groups_Otimes__class_Otimes(_u962, _u963), _u964), hAPP(c_Groups_Otimes__class_Otimes(_u962, _u965), _u964)) = hAPP(c_Groups_Otimes__class_Otimes(_u962, c_Groups_Oplus__class_Oplus(_u962, _u963, _u965)), _u964)) )).
% 15.12/15.30 cnf(matrix-585, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) != c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u967 = _u969) | ( _u968 = _u970) )).
% 15.12/15.30 cnf(matrix-586, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) = c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u967 != _u969) )).
% 15.12/15.30 cnf(matrix-587, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u966) | ( c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u968), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u970)) = c_Groups_Oplus__class_Oplus(_u966, hAPP(c_Groups_Otimes__class_Otimes(_u966, _u967), _u970), hAPP(c_Groups_Otimes__class_Otimes(_u966, _u969), _u968))) | ( _u968 != _u970) )).
% 15.12/15.30 cnf(matrix-588, plain, ( ~class_Rings_Ocomm__semiring(_u971) | ( hAPP(c_Groups_Otimes__class_Otimes(_u971, c_Groups_Oplus__class_Oplus(_u971, _u972, _u973)), _u974) = c_Groups_Oplus__class_Oplus(_u971, hAPP(c_Groups_Otimes__class_Otimes(_u971, _u972), _u974), hAPP(c_Groups_Otimes__class_Otimes(_u971, _u973), _u974))) )).
% 15.12/15.30 cnf(matrix-589, plain, ( ~class_Rings_Osemiring(_u975) | ( c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, _u976), _u977), c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, _u978), _u977), _u979)) = c_Groups_Oplus__class_Oplus(_u975, hAPP(c_Groups_Otimes__class_Otimes(_u975, c_Groups_Oplus__class_Oplus(_u975, _u976, _u978)), _u977), _u979)) )).
% 15.12/15.30 cnf(matrix-590, plain, ( ~class_RealVector_Oreal__normed__field(_u980) | ( c_Rings_Oinverse__class_Odivide(_u980, c_Groups_Oplus__class_Oplus(_u980, _u981, _u982), _u983) = c_Groups_Oplus__class_Oplus(_u980, c_Rings_Oinverse__class_Odivide(_u980, _u981, _u983), c_Rings_Oinverse__class_Odivide(_u980, _u982, _u983))) )).
% 15.12/15.30 cnf(matrix-591, plain, ( ~class_Rings_Odivision__ring(_u984) | ( c_Rings_Oinverse__class_Odivide(_u984, c_Groups_Oplus__class_Oplus(_u984, _u985, _u986), _u987) = c_Groups_Oplus__class_Oplus(_u984, c_Rings_Oinverse__class_Odivide(_u984, _u985, _u987), c_Rings_Oinverse__class_Odivide(_u984, _u986, _u987))) )).
% 15.12/15.30 cnf(matrix-592, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u988, _u989) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u990, _u988), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u990, _u989)) )).
% 15.12/15.30 cnf(matrix-593, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u991, _u992)), _u993) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u991), _u993), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u992), _u993))) )).
% 15.12/15.30 cnf(matrix-594, plain, ( ~class_RealVector_Oreal__normed__vector(_u994) | ( c_Groups_Osgn__class_Osgn(_u994, _u995) != c_Groups_Ozero__class_Ozero(_u994)) | ( _u995 = c_Groups_Ozero__class_Ozero(_u994)) )).
% 15.12/15.30 cnf(matrix-595, plain, ( ~class_RealVector_Oreal__normed__vector(_u994) | ( _u995 != c_Groups_Ozero__class_Ozero(_u994)) | ( c_Groups_Osgn__class_Osgn(_u994, _u995) = c_Groups_Ozero__class_Ozero(_u994)) )).
% 15.12/15.30 cnf(matrix-596, plain, ( ~class_RealVector_Oreal__normed__vector(_u996) | ( c_Groups_Osgn__class_Osgn(_u996, c_Groups_Ozero__class_Ozero(_u996)) = c_Groups_Ozero__class_Ozero(_u996)) )).
% 15.12/15.30 cnf(matrix-597, plain, ( ~class_Groups_Osgn__if(_u997) | ( c_Groups_Osgn__class_Osgn(_u997, c_Groups_Ozero__class_Ozero(_u997)) = c_Groups_Ozero__class_Ozero(_u997)) )).
% 15.12/15.30 cnf(matrix-598, plain, ( ~class_Rings_Olinordered__idom(_u998) | ( c_Groups_Osgn__class_Osgn(_u998, _u999) != c_Groups_Ozero__class_Ozero(_u998)) | ( _u999 = c_Groups_Ozero__class_Ozero(_u998)) )).
% 15.12/15.30 cnf(matrix-599, plain, ( ~class_Rings_Olinordered__idom(_u998) | ( _u999 != c_Groups_Ozero__class_Ozero(_u998)) | ( c_Groups_Osgn__class_Osgn(_u998, _u999) = c_Groups_Ozero__class_Ozero(_u998)) )).
% 15.12/15.30 cnf(matrix-600, plain, ( ~class_RealVector_Oreal__normed__div__algebra(_u1000) | ( c_Groups_Osgn__class_Osgn(_u1000, hAPP(c_Groups_Otimes__class_Otimes(_u1000, _u1001), _u1002)) = hAPP(c_Groups_Otimes__class_Otimes(_u1000, c_Groups_Osgn__class_Osgn(_u1000, _u1001)), c_Groups_Osgn__class_Osgn(_u1000, _u1002))) )).
% 15.12/15.30 cnf(matrix-601, plain, ( ~class_Rings_Olinordered__idom(_u1003) | ( c_Groups_Osgn__class_Osgn(_u1003, hAPP(c_Groups_Otimes__class_Otimes(_u1003, _u1004), _u1005)) = hAPP(c_Groups_Otimes__class_Otimes(_u1003, c_Groups_Osgn__class_Osgn(_u1003, _u1004)), c_Groups_Osgn__class_Osgn(_u1003, _u1005))) )).
% 15.12/15.30 cnf(matrix-602, plain, ( ~class_RealVector_Oreal__normed__algebra__1(_u1006) | ( c_Groups_Osgn__class_Osgn(_u1006, c_Groups_Oone__class_Oone(_u1006)) = c_Groups_Oone__class_Oone(_u1006)) )).
% 15.12/15.30 cnf(matrix-603, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1007) | ~c_Orderings_Oord__class_Oless__eq(_u1007, c_Rings_Oinverse__class_Oinverse(_u1007, _u1008), c_Groups_Ozero__class_Ozero(_u1007)) | c_Orderings_Oord__class_Oless__eq(_u1007, _u1008, c_Groups_Ozero__class_Ozero(_u1007)) )).
% 15.12/15.30 cnf(matrix-604, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1007) | ~c_Orderings_Oord__class_Oless__eq(_u1007, _u1008, c_Groups_Ozero__class_Ozero(_u1007)) | c_Orderings_Oord__class_Oless__eq(_u1007, c_Rings_Oinverse__class_Oinverse(_u1007, _u1008), c_Groups_Ozero__class_Ozero(_u1007)) )).
% 15.12/15.30 cnf(matrix-605, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1009) | ~c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), c_Rings_Oinverse__class_Oinverse(_u1009, _u1010)) | c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), _u1010) )).
% 15.12/15.30 cnf(matrix-606, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1009) | ~c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), _u1010) | c_Orderings_Oord__class_Oless__eq(_u1009, c_Groups_Ozero__class_Ozero(_u1009), c_Rings_Oinverse__class_Oinverse(_u1009, _u1010)) )).
% 15.12/15.30 cnf(matrix-607, plain, ( ~class_Fields_Olinordered__field(_u1011) | ~c_Orderings_Oord__class_Oless(_u1011, c_Rings_Oinverse__class_Oinverse(_u1011, _u1012), c_Rings_Oinverse__class_Oinverse(_u1011, _u1013)) | ~c_Orderings_Oord__class_Oless(_u1011, _u1013, c_Groups_Ozero__class_Ozero(_u1011)) | c_Orderings_Oord__class_Oless(_u1011, _u1013, _u1012) )).
% 15.12/15.30 cnf(matrix-608, plain, ( ~class_Fields_Olinordered__field(_u1014) | ~c_Orderings_Oord__class_Oless(_u1014, c_Rings_Oinverse__class_Oinverse(_u1014, _u1015), c_Rings_Oinverse__class_Oinverse(_u1014, _u1016)) | ~c_Orderings_Oord__class_Oless(_u1014, c_Groups_Ozero__class_Ozero(_u1014), _u1015) | c_Orderings_Oord__class_Oless(_u1014, _u1016, _u1015) )).
% 15.12/15.30 cnf(matrix-609, plain, ( ~class_Fields_Olinordered__field(_u1017) | ~c_Orderings_Oord__class_Oless(_u1017, c_Rings_Oinverse__class_Oinverse(_u1017, _u1018), c_Groups_Ozero__class_Ozero(_u1017)) | ( _u1018 = c_Groups_Ozero__class_Ozero(_u1017)) | c_Orderings_Oord__class_Oless(_u1017, _u1018, c_Groups_Ozero__class_Ozero(_u1017)) )).
% 15.12/15.30 cnf(matrix-610, plain, ( ~class_Fields_Olinordered__field(_u1019) | ~c_Orderings_Oord__class_Oless(_u1019, _u1020, _u1021) | ~c_Orderings_Oord__class_Oless(_u1019, _u1021, c_Groups_Ozero__class_Ozero(_u1019)) | c_Orderings_Oord__class_Oless(_u1019, c_Rings_Oinverse__class_Oinverse(_u1019, _u1021), c_Rings_Oinverse__class_Oinverse(_u1019, _u1020)) )).
% 15.12/15.30 cnf(matrix-611, plain, ( ~class_Fields_Olinordered__field(_u1022) | ~c_Orderings_Oord__class_Oless(_u1022, _u1023, _u1024) | ~c_Orderings_Oord__class_Oless(_u1022, c_Groups_Ozero__class_Ozero(_u1022), _u1023) | c_Orderings_Oord__class_Oless(_u1022, c_Rings_Oinverse__class_Oinverse(_u1022, _u1024), c_Rings_Oinverse__class_Oinverse(_u1022, _u1023)) )).
% 15.12/15.30 cnf(matrix-612, plain, ( ~class_Fields_Olinordered__field(_u1025) | ~c_Orderings_Oord__class_Oless(_u1025, _u1026, c_Groups_Ozero__class_Ozero(_u1025)) | c_Orderings_Oord__class_Oless(_u1025, c_Rings_Oinverse__class_Oinverse(_u1025, _u1026), c_Groups_Ozero__class_Ozero(_u1025)) )).
% 15.12/15.30 cnf(matrix-613, plain, ( ~class_Fields_Olinordered__field(_u1027) | ~c_Orderings_Oord__class_Oless(_u1027, c_Groups_Ozero__class_Ozero(_u1027), c_Rings_Oinverse__class_Oinverse(_u1027, _u1028)) | ( _u1028 = c_Groups_Ozero__class_Ozero(_u1027)) | c_Orderings_Oord__class_Oless(_u1027, c_Groups_Ozero__class_Ozero(_u1027), _u1028) )).
% 15.12/15.30 cnf(matrix-614, plain, ( ~class_Fields_Olinordered__field(_u1029) | ~c_Orderings_Oord__class_Oless(_u1029, c_Groups_Ozero__class_Ozero(_u1029), _u1030) | c_Orderings_Oord__class_Oless(_u1029, c_Groups_Ozero__class_Ozero(_u1029), c_Rings_Oinverse__class_Oinverse(_u1029, _u1030)) )).
% 15.12/15.30 cnf(matrix-615, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1031) | ~c_Orderings_Oord__class_Oless(_u1031, c_Rings_Oinverse__class_Oinverse(_u1031, _u1032), c_Groups_Ozero__class_Ozero(_u1031)) | c_Orderings_Oord__class_Oless(_u1031, _u1032, c_Groups_Ozero__class_Ozero(_u1031)) )).
% 15.12/15.30 cnf(matrix-616, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1031) | ~c_Orderings_Oord__class_Oless(_u1031, _u1032, c_Groups_Ozero__class_Ozero(_u1031)) | c_Orderings_Oord__class_Oless(_u1031, c_Rings_Oinverse__class_Oinverse(_u1031, _u1032), c_Groups_Ozero__class_Ozero(_u1031)) )).
% 15.12/15.30 cnf(matrix-617, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), c_Rings_Oinverse__class_Oinverse(_u1033, _u1034)) | c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), _u1034) )).
% 15.12/15.30 cnf(matrix-618, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1033) | ~c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), _u1034) | c_Orderings_Oord__class_Oless(_u1033, c_Groups_Ozero__class_Ozero(_u1033), c_Rings_Oinverse__class_Oinverse(_u1033, _u1034)) )).
% 15.12/15.30 cnf(matrix-619, plain, ( ~class_Rings_Odivision__ring(_u1035) | ( _u1036 = c_Groups_Ozero__class_Ozero(_u1035)) | ( _u1037 = c_Groups_Ozero__class_Ozero(_u1035)) | ( c_Rings_Oinverse__class_Oinverse(_u1035, hAPP(c_Groups_Otimes__class_Otimes(_u1035, _u1036), _u1037)) = hAPP(c_Groups_Otimes__class_Otimes(_u1035, c_Rings_Oinverse__class_Oinverse(_u1035, _u1037)), c_Rings_Oinverse__class_Oinverse(_u1035, _u1036))) )).
% 15.12/15.30 cnf(matrix-620, plain, ( ~class_Rings_Odivision__ring(_u1038) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1038, _u1039), _u1040) != c_Groups_Oone__class_Oone(_u1038)) | ( c_Rings_Oinverse__class_Oinverse(_u1038, _u1039) = _u1040) )).
% 15.12/15.30 cnf(matrix-621, plain, ( ~class_Fields_Ofield(_u1041) | ( c_Rings_Oinverse__class_Odivide(_u1041, _u1042, _u1043) = hAPP(c_Groups_Otimes__class_Otimes(_u1041, _u1042), c_Rings_Oinverse__class_Oinverse(_u1041, _u1043))) )).
% 15.12/15.30 cnf(matrix-622, plain, ( ~class_Rings_Odivision__ring(_u1044) | ( c_Rings_Oinverse__class_Odivide(_u1044, _u1045, _u1046) = hAPP(c_Groups_Otimes__class_Otimes(_u1044, _u1045), c_Rings_Oinverse__class_Oinverse(_u1044, _u1046))) )).
% 15.12/15.30 cnf(matrix-623, plain, ( ~class_Fields_Ofield(_u1047) | ( c_Rings_Oinverse__class_Oinverse(_u1047, _u1048) = c_Rings_Oinverse__class_Odivide(_u1047, c_Groups_Oone__class_Oone(_u1047), _u1048)) )).
% 15.12/15.30 cnf(matrix-624, plain, ( ~class_Rings_Odivision__ring(_u1049) | ( c_Rings_Oinverse__class_Oinverse(_u1049, _u1050) = c_Rings_Oinverse__class_Odivide(_u1049, c_Groups_Oone__class_Oone(_u1049), _u1050)) )).
% 15.12/15.30 cnf(matrix-625, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1051) | ~c_Orderings_Oord__class_Oless__eq(_u1051, _u1052, c_Groups_Ozero__class_Ozero(_u1051)) | ~c_Orderings_Oord__class_Oless__eq(_u1051, _u1053, c_Groups_Ozero__class_Ozero(_u1051)) | c_Orderings_Oord__class_Oless__eq(_u1051, c_Groups_Oplus__class_Oplus(_u1051, _u1052, _u1053), c_Groups_Ozero__class_Ozero(_u1051)) )).
% 15.12/15.30 cnf(matrix-626, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1054) | ~c_Orderings_Oord__class_Oless__eq(_u1054, c_Groups_Ozero__class_Ozero(_u1054), _u1055) | ~c_Orderings_Oord__class_Oless__eq(_u1054, _u1056, _u1057) | c_Orderings_Oord__class_Oless__eq(_u1054, _u1056, c_Groups_Oplus__class_Oplus(_u1054, _u1057, _u1055)) )).
% 15.12/15.30 cnf(matrix-627, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1058) | ~c_Orderings_Oord__class_Oless__eq(_u1058, c_Groups_Ozero__class_Ozero(_u1058), _u1059) | ~c_Orderings_Oord__class_Oless__eq(_u1058, _u1060, _u1061) | c_Orderings_Oord__class_Oless__eq(_u1058, _u1060, c_Groups_Oplus__class_Oplus(_u1058, _u1059, _u1061)) )).
% 15.12/15.30 cnf(matrix-628, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1063 = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.30 cnf(matrix-629, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1064 = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.30 cnf(matrix-630, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1062) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1063) | ~c_Orderings_Oord__class_Oless__eq(_u1062, c_Groups_Ozero__class_Ozero(_u1062), _u1064) | ( _u1063 != c_Groups_Ozero__class_Ozero(_u1062)) | ( _u1064 != c_Groups_Ozero__class_Ozero(_u1062)) | ( c_Groups_Oplus__class_Oplus(_u1062, _u1063, _u1064) = c_Groups_Ozero__class_Ozero(_u1062)) )).
% 15.12/15.30 cnf(matrix-631, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1065) | ~c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), _u1066) | ~c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), _u1067) | c_Orderings_Oord__class_Oless__eq(_u1065, c_Groups_Ozero__class_Ozero(_u1065), c_Groups_Oplus__class_Oplus(_u1065, _u1066, _u1067)) )).
% 15.12/15.30 cnf(matrix-632, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1068) | ~c_Orderings_Oord__class_Oless__eq(_u1068, c_Groups_Oplus__class_Oplus(_u1068, _u1069, _u1069), c_Groups_Ozero__class_Ozero(_u1068)) | c_Orderings_Oord__class_Oless__eq(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) )).
% 15.12/15.30 cnf(matrix-633, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1068) | ~c_Orderings_Oord__class_Oless__eq(_u1068, _u1069, c_Groups_Ozero__class_Ozero(_u1068)) | c_Orderings_Oord__class_Oless__eq(_u1068, c_Groups_Oplus__class_Oplus(_u1068, _u1069, _u1069), c_Groups_Ozero__class_Ozero(_u1068)) )).
% 15.12/15.30 cnf(matrix-634, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ~c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) | c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), _u1071) )).
% 15.12/15.30 cnf(matrix-635, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1070) | ~c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), _u1071) | c_Orderings_Oord__class_Oless__eq(_u1070, c_Groups_Ozero__class_Ozero(_u1070), c_Groups_Oplus__class_Oplus(_u1070, _u1071, _u1071)) )).
% 15.12/15.30 cnf(matrix-636, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1072) | ~c_Orderings_Oord__class_Oless(_u1072, _u1073, c_Groups_Ozero__class_Ozero(_u1072)) | ~c_Orderings_Oord__class_Oless(_u1072, _u1074, c_Groups_Ozero__class_Ozero(_u1072)) | c_Orderings_Oord__class_Oless(_u1072, c_Groups_Oplus__class_Oplus(_u1072, _u1073, _u1074), c_Groups_Ozero__class_Ozero(_u1072)) )).
% 15.12/15.30 cnf(matrix-637, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1075) | ~c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), _u1076) | ~c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), _u1077) | c_Orderings_Oord__class_Oless(_u1075, c_Groups_Ozero__class_Ozero(_u1075), c_Groups_Oplus__class_Oplus(_u1075, _u1076, _u1077)) )).
% 15.12/15.30 cnf(matrix-638, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1078) | ~c_Orderings_Oord__class_Oless(_u1078, c_Groups_Oplus__class_Oplus(_u1078, _u1079, _u1079), c_Groups_Ozero__class_Ozero(_u1078)) | c_Orderings_Oord__class_Oless(_u1078, _u1079, c_Groups_Ozero__class_Ozero(_u1078)) )).
% 15.12/15.30 cnf(matrix-639, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1078) | ~c_Orderings_Oord__class_Oless(_u1078, _u1079, c_Groups_Ozero__class_Ozero(_u1078)) | c_Orderings_Oord__class_Oless(_u1078, c_Groups_Oplus__class_Oplus(_u1078, _u1079, _u1079), c_Groups_Ozero__class_Ozero(_u1078)) )).
% 15.12/15.30 cnf(matrix-640, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1081)) | c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), _u1081) )).
% 15.12/15.30 cnf(matrix-641, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1080) | ~c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), _u1081) | c_Orderings_Oord__class_Oless(_u1080, c_Groups_Ozero__class_Ozero(_u1080), c_Groups_Oplus__class_Oplus(_u1080, _u1081, _u1081)) )).
% 15.12/15.30 cnf(matrix-642, plain, ( ~class_Rings_Olinordered__semidom(_u1082) | ~c_Orderings_Oord__class_Oless(_u1082, c_Groups_Ozero__class_Ozero(_u1082), _u1083) | ~c_Orderings_Oord__class_Oless(_u1082, _u1084, _u1085) | c_Orderings_Oord__class_Oless(_u1082, _u1084, c_Groups_Oplus__class_Oplus(_u1082, _u1083, _u1085)) )).
% 15.12/15.30 cnf(matrix-643, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1086) | ~c_Orderings_Oord__class_Oless(_u1086, _u1087, _u1088) | ~c_Orderings_Oord__class_Oless__eq(_u1086, _u1089, _u1090) | c_Orderings_Oord__class_Oless(_u1086, c_Groups_Oplus__class_Oplus(_u1086, _u1087, _u1089), c_Groups_Oplus__class_Oplus(_u1086, _u1088, _u1090)) )).
% 15.12/15.30 cnf(matrix-644, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u1091) | ~c_Orderings_Oord__class_Oless__eq(_u1091, _u1092, _u1093) | ~c_Orderings_Oord__class_Oless(_u1091, _u1094, _u1095) | c_Orderings_Oord__class_Oless(_u1091, c_Groups_Oplus__class_Oplus(_u1091, _u1092, _u1094), c_Groups_Oplus__class_Oplus(_u1091, _u1093, _u1095)) )).
% 15.12/15.30 cnf(matrix-645, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u1096) | ( _u1097 = c_Groups_Ozero__class_Ozero(_u1096)) | ( _u1098 != _u1099) | ( _u1100 = _u1101) | ( c_Groups_Oplus__class_Oplus(_u1096, _u1098, hAPP(c_Groups_Otimes__class_Otimes(_u1096, _u1097), _u1100)) != c_Groups_Oplus__class_Oplus(_u1096, _u1099, hAPP(c_Groups_Otimes__class_Otimes(_u1096, _u1097), _u1101))) )).
% 15.12/15.30 cnf(matrix-646, plain, ( ~class_Rings_Olinordered__semidom(_u1102) | c_Orderings_Oord__class_Oless(_u1102, _u1103, c_Groups_Oplus__class_Oplus(_u1102, _u1103, c_Groups_Oone__class_Oone(_u1102))) )).
% 15.12/15.30 cnf(matrix-647, plain, ( ~class_Rings_Ocomm__semiring__1(_u1104) | ( c_Groups_Oplus__class_Oplus(_u1104, hAPP(c_Groups_Otimes__class_Otimes(_u1104, _u1105), _u1106), _u1106) = hAPP(c_Groups_Otimes__class_Otimes(_u1104, c_Groups_Oplus__class_Oplus(_u1104, _u1105, c_Groups_Oone__class_Oone(_u1104))), _u1106)) )).
% 15.12/15.30 cnf(matrix-648, plain, ( ~class_Rings_Ocomm__semiring__1(_u1107) | ( c_Groups_Oplus__class_Oplus(_u1107, _u1108, hAPP(c_Groups_Otimes__class_Otimes(_u1107, _u1109), _u1108)) = hAPP(c_Groups_Otimes__class_Otimes(_u1107, c_Groups_Oplus__class_Oplus(_u1107, _u1109, c_Groups_Oone__class_Oone(_u1107))), _u1108)) )).
% 15.12/15.30 cnf(matrix-649, plain, ( ~class_Rings_Ocomm__semiring__1(_u1110) | ( c_Groups_Oplus__class_Oplus(_u1110, _u1111, _u1111) = hAPP(c_Groups_Otimes__class_Otimes(_u1110, c_Groups_Oplus__class_Oplus(_u1110, c_Groups_Oone__class_Oone(_u1110), c_Groups_Oone__class_Oone(_u1110))), _u1111)) )).
% 15.12/15.30 cnf(matrix-650, plain, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1112, _u1113) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1112), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1113))) )).
% 15.12/15.30 cnf(matrix-651, plain, ( ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u1114, _u1115) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1114), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1115))) )).
% 15.12/15.30 cnf(matrix-652, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1118), _u1118), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1120), _u1120)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1118 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.30 cnf(matrix-653, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1118), _u1118), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1120), _u1120)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1120 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-654, plain, ( ( _u1119 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1121 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1119), _u1119), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1121), _u1121)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-655, plain, ( ~class_Rings_Olinordered__idom(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, c_Groups_Osgn__class_Osgn(_u1122, _u1123), c_Groups_Ozero__class_Ozero(_u1122)) | c_Orderings_Oord__class_Oless(_u1122, _u1123, c_Groups_Ozero__class_Ozero(_u1122)) )).
% 15.12/15.31 cnf(matrix-656, plain, ( ~class_Rings_Olinordered__idom(_u1122) | ~c_Orderings_Oord__class_Oless(_u1122, _u1123, c_Groups_Ozero__class_Ozero(_u1122)) | c_Orderings_Oord__class_Oless(_u1122, c_Groups_Osgn__class_Osgn(_u1122, _u1123), c_Groups_Ozero__class_Ozero(_u1122)) )).
% 15.12/15.31 cnf(matrix-657, plain, ( ~class_Rings_Olinordered__idom(_u1124) | ~c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), c_Groups_Osgn__class_Osgn(_u1124, _u1125)) | c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), _u1125) )).
% 15.12/15.31 cnf(matrix-658, plain, ( ~class_Rings_Olinordered__idom(_u1124) | ~c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), _u1125) | c_Orderings_Oord__class_Oless(_u1124, c_Groups_Ozero__class_Ozero(_u1124), c_Groups_Osgn__class_Osgn(_u1124, _u1125)) )).
% 15.12/15.31 cnf(matrix-659, plain, ( ~class_Fields_Olinordered__field(_u1126) | ~c_Orderings_Oord__class_Oless__eq(_u1126, c_Rings_Oinverse__class_Oinverse(_u1126, _u1127), c_Rings_Oinverse__class_Oinverse(_u1126, _u1128)) | ~c_Orderings_Oord__class_Oless(_u1126, _u1128, c_Groups_Ozero__class_Ozero(_u1126)) | c_Orderings_Oord__class_Oless__eq(_u1126, _u1128, _u1127) )).
% 15.12/15.31 cnf(matrix-660, plain, ( ~class_Fields_Olinordered__field(_u1129) | ~c_Orderings_Oord__class_Oless__eq(_u1129, c_Rings_Oinverse__class_Oinverse(_u1129, _u1130), c_Rings_Oinverse__class_Oinverse(_u1129, _u1131)) | ~c_Orderings_Oord__class_Oless(_u1129, c_Groups_Ozero__class_Ozero(_u1129), _u1130) | c_Orderings_Oord__class_Oless__eq(_u1129, _u1131, _u1130) )).
% 15.12/15.31 cnf(matrix-661, plain, ( ~class_Fields_Olinordered__field(_u1132) | ~c_Orderings_Oord__class_Oless__eq(_u1132, _u1133, _u1134) | ~c_Orderings_Oord__class_Oless(_u1132, _u1134, c_Groups_Ozero__class_Ozero(_u1132)) | c_Orderings_Oord__class_Oless__eq(_u1132, c_Rings_Oinverse__class_Oinverse(_u1132, _u1134), c_Rings_Oinverse__class_Oinverse(_u1132, _u1133)) )).
% 15.12/15.31 cnf(matrix-662, plain, ( ~class_Fields_Olinordered__field(_u1135) | ~c_Orderings_Oord__class_Oless__eq(_u1135, _u1136, _u1137) | ~c_Orderings_Oord__class_Oless(_u1135, c_Groups_Ozero__class_Ozero(_u1135), _u1136) | c_Orderings_Oord__class_Oless__eq(_u1135, c_Rings_Oinverse__class_Oinverse(_u1135, _u1137), c_Rings_Oinverse__class_Oinverse(_u1135, _u1136)) )).
% 15.12/15.31 cnf(matrix-663, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | ~c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | c_Orderings_Oord__class_Oless__eq(_u1138, _u1139, c_Groups_Ozero__class_Ozero(_u1138)) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Groups_Oone__class_Oone(_u1138), _u1139) )).
% 15.12/15.31 cnf(matrix-664, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | ~c_Orderings_Oord__class_Oless__eq(_u1138, _u1139, c_Groups_Ozero__class_Ozero(_u1138)) )).
% 15.12/15.31 cnf(matrix-665, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1138) | c_Orderings_Oord__class_Oless__eq(_u1138, c_Rings_Oinverse__class_Oinverse(_u1138, _u1139), c_Groups_Oone__class_Oone(_u1138)) | ~c_Orderings_Oord__class_Oless__eq(_u1138, c_Groups_Oone__class_Oone(_u1138), _u1139) )).
% 15.12/15.31 cnf(matrix-666, plain, ( ~class_Fields_Olinordered__field(_u1140) | ~c_Orderings_Oord__class_Oless(_u1140, c_Groups_Ozero__class_Ozero(_u1140), _u1141) | ~c_Orderings_Oord__class_Oless(_u1140, _u1141, c_Groups_Oone__class_Oone(_u1140)) | c_Orderings_Oord__class_Oless(_u1140, c_Groups_Oone__class_Oone(_u1140), c_Rings_Oinverse__class_Oinverse(_u1140, _u1141)) )).
% 15.12/15.31 cnf(matrix-667, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) | c_Orderings_Oord__class_Oless(_u1142, c_Groups_Ozero__class_Ozero(_u1142), _u1143) )).
% 15.12/15.31 cnf(matrix-668, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) | c_Orderings_Oord__class_Oless(_u1142, _u1143, c_Groups_Oone__class_Oone(_u1142)) )).
% 15.12/15.31 cnf(matrix-669, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1142) | ~c_Orderings_Oord__class_Oless(_u1142, c_Groups_Ozero__class_Ozero(_u1142), _u1143) | ~c_Orderings_Oord__class_Oless(_u1142, _u1143, c_Groups_Oone__class_Oone(_u1142)) | c_Orderings_Oord__class_Oless(_u1142, c_Groups_Oone__class_Oone(_u1142), c_Rings_Oinverse__class_Oinverse(_u1142, _u1143)) )).
% 15.12/15.31 cnf(matrix-670, plain, ( ~class_Fields_Ofield(_u1144) | ( _u1145 = c_Groups_Ozero__class_Ozero(_u1144)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1144, c_Rings_Oinverse__class_Oinverse(_u1144, _u1145)), _u1145) = c_Groups_Oone__class_Oone(_u1144)) )).
% 15.12/15.31 cnf(matrix-671, plain, ( ~class_Rings_Odivision__ring(_u1146) | ( _u1147 = c_Groups_Ozero__class_Ozero(_u1146)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1146, c_Rings_Oinverse__class_Oinverse(_u1146, _u1147)), _u1147) = c_Groups_Oone__class_Oone(_u1146)) )).
% 15.12/15.31 cnf(matrix-672, plain, ( ~class_Rings_Odivision__ring(_u1148) | ( _u1149 = c_Groups_Ozero__class_Ozero(_u1148)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1148, _u1149), c_Rings_Oinverse__class_Oinverse(_u1148, _u1149)) = c_Groups_Oone__class_Oone(_u1148)) )).
% 15.12/15.31 cnf(matrix-673, plain, ( ~class_Rings_Odivision__ring(_u1150) | ( _u1151 = c_Groups_Ozero__class_Ozero(_u1150)) | ( c_Rings_Oinverse__class_Oinverse(_u1150, _u1151) = c_Rings_Oinverse__class_Odivide(_u1150, c_Groups_Oone__class_Oone(_u1150), _u1151)) )).
% 15.12/15.31 cnf(matrix-674, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1152) | ~c_Orderings_Oord__class_Oless__eq(_u1152, _u1153, c_Groups_Ozero__class_Ozero(_u1152)) | ~c_Orderings_Oord__class_Oless(_u1152, _u1154, c_Groups_Ozero__class_Ozero(_u1152)) | c_Orderings_Oord__class_Oless(_u1152, c_Groups_Oplus__class_Oplus(_u1152, _u1153, _u1154), c_Groups_Ozero__class_Ozero(_u1152)) )).
% 15.12/15.31 cnf(matrix-675, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1155) | ~c_Orderings_Oord__class_Oless(_u1155, _u1156, c_Groups_Ozero__class_Ozero(_u1155)) | ~c_Orderings_Oord__class_Oless__eq(_u1155, _u1157, c_Groups_Ozero__class_Ozero(_u1155)) | c_Orderings_Oord__class_Oless(_u1155, c_Groups_Oplus__class_Oplus(_u1155, _u1156, _u1157), c_Groups_Ozero__class_Ozero(_u1155)) )).
% 15.12/15.31 cnf(matrix-676, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1158) | ~c_Orderings_Oord__class_Oless__eq(_u1158, c_Groups_Ozero__class_Ozero(_u1158), _u1159) | ~c_Orderings_Oord__class_Oless(_u1158, _u1160, _u1161) | c_Orderings_Oord__class_Oless(_u1158, _u1160, c_Groups_Oplus__class_Oplus(_u1158, _u1159, _u1161)) )).
% 15.12/15.31 cnf(matrix-677, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1162) | ~c_Orderings_Oord__class_Oless(_u1162, c_Groups_Ozero__class_Ozero(_u1162), _u1163) | ~c_Orderings_Oord__class_Oless__eq(_u1162, _u1164, _u1165) | c_Orderings_Oord__class_Oless(_u1162, _u1164, c_Groups_Oplus__class_Oplus(_u1162, _u1163, _u1165)) )).
% 15.12/15.31 cnf(matrix-678, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1166) | ~c_Orderings_Oord__class_Oless__eq(_u1166, c_Groups_Ozero__class_Ozero(_u1166), _u1167) | ~c_Orderings_Oord__class_Oless(_u1166, c_Groups_Ozero__class_Ozero(_u1166), _u1168) | c_Orderings_Oord__class_Oless(_u1166, c_Groups_Ozero__class_Ozero(_u1166), c_Groups_Oplus__class_Oplus(_u1166, _u1167, _u1168)) )).
% 15.12/15.31 cnf(matrix-679, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u1169) | ~c_Orderings_Oord__class_Oless(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1170) | ~c_Orderings_Oord__class_Oless__eq(_u1169, c_Groups_Ozero__class_Ozero(_u1169), _u1171) | c_Orderings_Oord__class_Oless(_u1169, c_Groups_Ozero__class_Ozero(_u1169), c_Groups_Oplus__class_Oplus(_u1169, _u1170, _u1171)) )).
% 15.12/15.31 cnf(matrix-680, plain, ( ~class_Rings_Olinordered__semidom(_u1172) | c_Orderings_Oord__class_Oless(_u1172, c_Groups_Ozero__class_Ozero(_u1172), c_Groups_Oplus__class_Oplus(_u1172, c_Groups_Oone__class_Oone(_u1172), c_Groups_Oone__class_Oone(_u1172))) )).
% 15.12/15.31 cnf(matrix-681, plain, ( ~class_Fields_Ofield(_u1173) | ( _u1174 = c_Groups_Ozero__class_Ozero(_u1173)) | ( _u1175 = c_Groups_Ozero__class_Ozero(_u1173)) | ( c_Groups_Oplus__class_Oplus(_u1173, c_Rings_Oinverse__class_Odivide(_u1173, _u1176, _u1174), c_Rings_Oinverse__class_Odivide(_u1173, _u1177, _u1175)) = c_Rings_Oinverse__class_Odivide(_u1173, c_Groups_Oplus__class_Oplus(_u1173, hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1176), _u1175), hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1177), _u1174)), hAPP(c_Groups_Otimes__class_Otimes(_u1173, _u1174), _u1175))) )).
% 15.12/15.31 cnf(matrix-682, plain, ( ~class_Fields_Ofield(_u1178) | ( _u1179 = c_Groups_Ozero__class_Ozero(_u1178)) | ( c_Groups_Oplus__class_Oplus(_u1178, c_Rings_Oinverse__class_Odivide(_u1178, _u1180, _u1179), _u1181) = c_Rings_Oinverse__class_Odivide(_u1178, c_Groups_Oplus__class_Oplus(_u1178, _u1180, hAPP(c_Groups_Otimes__class_Otimes(_u1178, _u1179), _u1181)), _u1179)) )).
% 15.12/15.31 cnf(matrix-683, plain, ( ~class_Fields_Ofield__inverse__zero(_u1182) | ( _u1183 = c_Groups_Ozero__class_Ozero(_u1182)) | ( c_Groups_Oplus__class_Oplus(_u1182, c_Rings_Oinverse__class_Odivide(_u1182, _u1184, _u1183), _u1185) = c_Rings_Oinverse__class_Odivide(_u1182, c_Groups_Oplus__class_Oplus(_u1182, _u1184, hAPP(c_Groups_Otimes__class_Otimes(_u1182, _u1185), _u1183)), _u1183)) )).
% 15.12/15.31 cnf(matrix-684, plain, ( ~class_Fields_Ofield(_u1186) | ( _u1187 = c_Groups_Ozero__class_Ozero(_u1186)) | ( c_Groups_Oplus__class_Oplus(_u1186, _u1188, c_Rings_Oinverse__class_Odivide(_u1186, _u1189, _u1187)) = c_Rings_Oinverse__class_Odivide(_u1186, c_Groups_Oplus__class_Oplus(_u1186, hAPP(c_Groups_Otimes__class_Otimes(_u1186, _u1187), _u1188), _u1189), _u1187)) )).
% 15.12/15.31 cnf(matrix-685, plain, ( ~class_Fields_Ofield__inverse__zero(_u1190) | ( _u1191 = c_Groups_Ozero__class_Ozero(_u1190)) | ( c_Groups_Oplus__class_Oplus(_u1190, _u1192, c_Rings_Oinverse__class_Odivide(_u1190, _u1193, _u1191)) = c_Rings_Oinverse__class_Odivide(_u1190, c_Groups_Oplus__class_Oplus(_u1190, _u1193, hAPP(c_Groups_Otimes__class_Otimes(_u1190, _u1192), _u1191)), _u1191)) )).
% 15.12/15.31 cnf(matrix-686, plain, ( ( _u1194 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1194)), _u1194) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-687, plain, ( ~class_Fields_Olinordered__field(_u1195) | ~c_Orderings_Oord__class_Oless(_u1195, _u1196, _u1197) | c_Orderings_Oord__class_Oless(_u1195, c_Rings_Oinverse__class_Odivide(_u1195, c_Groups_Oplus__class_Oplus(_u1195, _u1196, _u1197), c_Groups_Oplus__class_Oplus(_u1195, c_Groups_Oone__class_Oone(_u1195), c_Groups_Oone__class_Oone(_u1195))), _u1197) )).
% 15.12/15.31 cnf(matrix-688, plain, ( ~class_Fields_Olinordered__field(_u1198) | ~c_Orderings_Oord__class_Oless(_u1198, _u1199, _u1200) | c_Orderings_Oord__class_Oless(_u1198, _u1199, c_Rings_Oinverse__class_Odivide(_u1198, c_Groups_Oplus__class_Oplus(_u1198, _u1199, _u1200), c_Groups_Oplus__class_Oplus(_u1198, c_Groups_Oone__class_Oone(_u1198), c_Groups_Oone__class_Oone(_u1198)))) )).
% 15.12/15.31 cnf(matrix-689, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1201) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1201) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-690, plain, ( ~class_Rings_Olinordered__ring(_u1202) | ~c_Orderings_Oord__class_Oless(_u1202, c_Groups_Oplus__class_Oplus(_u1202, hAPP(c_Groups_Otimes__class_Otimes(_u1202, _u1203), _u1203), hAPP(c_Groups_Otimes__class_Otimes(_u1202, _u1204), _u1204)), c_Groups_Ozero__class_Ozero(_u1202)) )).
% 15.12/15.31 cnf(matrix-691, plain, ( ~class_Rings_Olinordered__ring__strict(_u1205) | ~c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1206 != c_Groups_Ozero__class_Ozero(_u1205)) | ( _u1207 != c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.31 cnf(matrix-692, plain, ( ~class_Rings_Olinordered__ring__strict(_u1205) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1206 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.31 cnf(matrix-693, plain, ( ~class_Rings_Olinordered__ring__strict(_u1205) | c_Orderings_Oord__class_Oless(_u1205, c_Groups_Ozero__class_Ozero(_u1205), c_Groups_Oplus__class_Oplus(_u1205, hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1206), _u1206), hAPP(c_Groups_Otimes__class_Otimes(_u1205, _u1207), _u1207))) | ( _u1207 = c_Groups_Ozero__class_Ozero(_u1205)) )).
% 15.12/15.31 cnf(matrix-694, plain, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ~c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1209 = c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.31 cnf(matrix-695, plain, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ~c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1210 = c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.31 cnf(matrix-696, plain, ( ~class_Rings_Olinordered__ring__strict(_u1208) | ( _u1209 != c_Groups_Ozero__class_Ozero(_u1208)) | ( _u1210 != c_Groups_Ozero__class_Ozero(_u1208)) | c_Orderings_Oord__class_Oless__eq(_u1208, c_Groups_Oplus__class_Oplus(_u1208, hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1209), _u1209), hAPP(c_Groups_Otimes__class_Otimes(_u1208, _u1210), _u1210)), c_Groups_Ozero__class_Ozero(_u1208)) )).
% 15.12/15.31 cnf(matrix-697, plain, ( ~class_Rings_Olinordered__ring(_u1211) | c_Orderings_Oord__class_Oless__eq(_u1211, c_Groups_Ozero__class_Ozero(_u1211), c_Groups_Oplus__class_Oplus(_u1211, hAPP(c_Groups_Otimes__class_Otimes(_u1211, _u1212), _u1212), hAPP(c_Groups_Otimes__class_Otimes(_u1211, _u1213), _u1213))) )).
% 15.12/15.31 cnf(matrix-698, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1214) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1215) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1215), _u1216), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1214), _u1217)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1216), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1214)), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1217), c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1215))) )).
% 15.12/15.31 cnf(matrix-699, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1218) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1219) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1219), _u1220), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1218), _u1221)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1218)), _u1220), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1219)), _u1221)) )).
% 15.12/15.31 cnf(matrix-700, plain, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1223 = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.31 cnf(matrix-701, plain, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1224 = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.31 cnf(matrix-702, plain, ( ~class_Rings_Olinordered__ring__strict(_u1222) | ( _u1223 != c_Groups_Ozero__class_Ozero(_u1222)) | ( _u1224 != c_Groups_Ozero__class_Ozero(_u1222)) | ( c_Groups_Oplus__class_Oplus(_u1222, hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1223), _u1223), hAPP(c_Groups_Otimes__class_Otimes(_u1222, _u1224), _u1224)) = c_Groups_Ozero__class_Ozero(_u1222)) )).
% 15.12/15.31 cnf(matrix-703, plain, ( ~class_Rings_Olinordered__idom(_u1225) | ~c_Orderings_Oord__class_Oless(_u1225, c_Groups_Oplus__class_Oplus(_u1225, _u1226, _u1226), c_Groups_Ozero__class_Ozero(_u1225)) | c_Orderings_Oord__class_Oless(_u1225, _u1226, c_Groups_Ozero__class_Ozero(_u1225)) )).
% 15.12/15.31 cnf(matrix-704, plain, ( ~class_Rings_Olinordered__idom(_u1225) | ~c_Orderings_Oord__class_Oless(_u1225, _u1226, c_Groups_Ozero__class_Ozero(_u1225)) | c_Orderings_Oord__class_Oless(_u1225, c_Groups_Oplus__class_Oplus(_u1225, _u1226, _u1226), c_Groups_Ozero__class_Ozero(_u1225)) )).
% 15.12/15.31 cnf(matrix-705, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1227) | ( c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1228) != c_Groups_Ozero__class_Ozero(_u1227)) | ( _u1228 = c_Groups_Ozero__class_Ozero(_u1227)) )).
% 15.12/15.31 cnf(matrix-706, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1227) | ( _u1228 != c_Groups_Ozero__class_Ozero(_u1227)) | ( c_Groups_Oplus__class_Oplus(_u1227, _u1228, _u1228) = c_Groups_Ozero__class_Ozero(_u1227)) )).
% 15.12/15.31 cnf(matrix-707, plain, ( ~class_Fields_Olinordered__field(_u1230) | c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, _u1232) | c_Orderings_Oord__class_Oless(_u1230, c_Groups_Ozero__class_Ozero(_u1230), skolem6(_u1232, _u1231, _u1230)) )).
% 15.12/15.31 cnf(matrix-708, plain, ( ~class_Fields_Olinordered__field(_u1230) | c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, _u1232) | ~c_Orderings_Oord__class_Oless__eq(_u1230, _u1231, c_Groups_Oplus__class_Oplus(_u1230, _u1232, skolem6(_u1232, _u1231, _u1230))) )).
% 15.12/15.31 cnf(matrix-709, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1233) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1233)), _u1233) )).
% 15.12/15.31 cnf(matrix-710, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1234) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1235) | ( hAPP(c_Transcendental_Oln, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1234), _u1235)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1234), hAPP(c_Transcendental_Oln, _u1235))) )).
% 15.12/15.31 cnf(matrix-711, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1236) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1236), hAPP(c_Transcendental_Oln, _u1237)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1236, _u1237) )).
% 15.12/15.31 cnf(matrix-712, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1236) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1237) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1236, _u1237) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1236), hAPP(c_Transcendental_Oln, _u1237)) )).
% 15.12/15.31 cnf(matrix-713, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1238) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( hAPP(c_Transcendental_Oln, _u1238) != hAPP(c_Transcendental_Oln, _u1239)) | ( _u1238 = _u1239) )).
% 15.12/15.31 cnf(matrix-714, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1238) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1239) | ( _u1238 != _u1239) | ( hAPP(c_Transcendental_Oln, _u1238) = hAPP(c_Transcendental_Oln, _u1239)) )).
% 15.12/15.31 cnf(matrix-715, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1240) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1240), _u1240) )).
% 15.12/15.31 cnf(matrix-716, plain, ( ( hAPP(c_Transcendental_Oln, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-717, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1241) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1242) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1241), hAPP(c_Transcendental_Oln, _u1242)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1241, _u1242) )).
% 15.12/15.31 cnf(matrix-718, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1241) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1242) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1241, _u1242) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1241), hAPP(c_Transcendental_Oln, _u1242)) )).
% 15.12/15.31 cnf(matrix-719, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1243) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1243)) )).
% 15.12/15.31 cnf(matrix-720, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1244)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1244) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1244) )).
% 15.12/15.31 cnf(matrix-721, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1245) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1245, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1245), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-722, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1246), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-723, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1246) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1246, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1246), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-724, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1247) | ( hAPP(c_Transcendental_Oln, _u1247) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1247 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-725, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1247) | ( _u1247 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( hAPP(c_Transcendental_Oln, _u1247) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-726, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1248)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1248) )).
% 15.12/15.31 cnf(matrix-727, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1248) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1248) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1248)) )).
% 15.12/15.31 cnf(matrix-728, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1249) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1249)) )).
% 15.12/15.31 cnf(matrix-729, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1250)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1250) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1250) )).
% 15.12/15.31 cnf(matrix-730, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1251) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1251)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1251) )).
% 15.12/15.31 cnf(matrix-731, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1251) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1251) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1251)) )).
% 15.12/15.31 cnf(matrix-732, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) )).
% 15.12/15.31 cnf(matrix-733, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) )).
% 15.12/15.31 cnf(matrix-734, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.31 cnf(matrix-735, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.31 cnf(matrix-736, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) )).
% 15.12/15.31 cnf(matrix-737, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.31 cnf(matrix-738, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless(_u1252, c_Groups_Ozero__class_Ozero(_u1252), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)) )).
% 15.12/15.31 cnf(matrix-739, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.31 cnf(matrix-740, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless(_u1252, c_Int_Onumber__class_Onumber__of(_u1252, _u1254), c_Groups_Ozero__class_Ozero(_u1252)) )).
% 15.12/15.31 cnf(matrix-741, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1252) | ~class_Int_Onumber(_u1252) | c_Orderings_Oord__class_Oless__eq(_u1252, c_Rings_Oinverse__class_Odivide(_u1252, _u1253, c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1255) | ~c_Orderings_Oord__class_Oless__eq(_u1252, _u1253, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254))) | ~c_Orderings_Oord__class_Oless__eq(_u1252, hAPP(c_Groups_Otimes__class_Otimes(_u1252, _u1255), c_Int_Onumber__class_Onumber__of(_u1252, _u1254)), _u1253) | ~c_Orderings_Oord__class_Oless__eq(_u1252, c_Groups_Ozero__class_Ozero(_u1252), _u1255) )).
% 15.12/15.31 cnf(matrix-742, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) )).
% 15.12/15.31 cnf(matrix-743, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) )).
% 15.12/15.31 cnf(matrix-744, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.31 cnf(matrix-745, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.31 cnf(matrix-746, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) )).
% 15.12/15.31 cnf(matrix-747, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.31 cnf(matrix-748, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless(_u1256, c_Groups_Ozero__class_Ozero(_u1256), _u1258) )).
% 15.12/15.31 cnf(matrix-749, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.31 cnf(matrix-750, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless(_u1256, _u1258, c_Groups_Ozero__class_Ozero(_u1256)) )).
% 15.12/15.31 cnf(matrix-751, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1256) | ~class_Int_Onumber(_u1256) | c_Orderings_Oord__class_Oless__eq(_u1256, c_Rings_Oinverse__class_Odivide(_u1256, _u1257, _u1258), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, _u1257, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258)) | ~c_Orderings_Oord__class_Oless__eq(_u1256, hAPP(c_Groups_Otimes__class_Otimes(_u1256, c_Int_Onumber__class_Onumber__of(_u1256, _u1259)), _u1258), _u1257) | ~c_Orderings_Oord__class_Oless__eq(_u1256, c_Groups_Ozero__class_Ozero(_u1256), c_Int_Onumber__class_Onumber__of(_u1256, _u1259)) )).
% 15.12/15.31 cnf(matrix-752, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) )).
% 15.12/15.31 cnf(matrix-753, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) )).
% 15.12/15.31 cnf(matrix-754, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-755, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-756, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-757, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-758, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless(_u1260, c_Groups_Ozero__class_Ozero(_u1260), _u1263) )).
% 15.12/15.31 cnf(matrix-759, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-760, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless(_u1260, _u1263, c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-761, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1260) | ~class_Int_Onumber(_u1260) | c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Rings_Oinverse__class_Odivide(_u1260, _u1262, _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263), _u1262) | ~c_Orderings_Oord__class_Oless__eq(_u1260, _u1262, hAPP(c_Groups_Otimes__class_Otimes(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261)), _u1263)) | ~c_Orderings_Oord__class_Oless__eq(_u1260, c_Int_Onumber__class_Onumber__of(_u1260, _u1261), c_Groups_Ozero__class_Ozero(_u1260)) )).
% 15.12/15.31 cnf(matrix-762, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) )).
% 15.12/15.31 cnf(matrix-763, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) )).
% 15.12/15.31 cnf(matrix-764, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-765, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-766, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-767, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-768, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless(_u1264, c_Groups_Ozero__class_Ozero(_u1264), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)) )).
% 15.12/15.31 cnf(matrix-769, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-770, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless(_u1264, c_Int_Onumber__class_Onumber__of(_u1264, _u1267), c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-771, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1264) | ~class_Int_Onumber(_u1264) | c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Rings_Oinverse__class_Odivide(_u1264, _u1266, c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267)), _u1266) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1266, hAPP(c_Groups_Otimes__class_Otimes(_u1264, _u1265), c_Int_Onumber__class_Onumber__of(_u1264, _u1267))) | ~c_Orderings_Oord__class_Oless__eq(_u1264, _u1265, c_Groups_Ozero__class_Ozero(_u1264)) )).
% 15.12/15.31 cnf(matrix-772, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1268) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, _u1268, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1268)) )).
% 15.12/15.31 cnf(matrix-773, plain, ( ~class_Int_Onumber__ring(_u1269) | ( c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, _u1270), c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, _u1271), _u1272)) = c_Groups_Oplus__class_Oplus(_u1269, c_Int_Onumber__class_Onumber__of(_u1269, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1270, _u1271)), _u1272)) )).
% 15.12/15.31 cnf(matrix-774, plain, ( ~class_Int_Onumber__ring(_u1273) | ( c_Groups_Oplus__class_Oplus(_u1273, c_Int_Onumber__class_Onumber__of(_u1273, _u1274), c_Int_Onumber__class_Onumber__of(_u1273, _u1275)) = c_Int_Onumber__class_Onumber__of(_u1273, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1274, _u1275))) )).
% 15.12/15.31 cnf(matrix-775, plain, ( ~class_Int_Onumber__ring(_u1276) | ( c_Int_Onumber__class_Onumber__of(_u1276, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1277, _u1278)) = c_Groups_Oplus__class_Oplus(_u1276, c_Int_Onumber__class_Onumber__of(_u1276, _u1277), c_Int_Onumber__class_Onumber__of(_u1276, _u1278))) )).
% 15.12/15.31 cnf(matrix-776, plain, ( ~class_Int_Onumber__ring(_u1279) | ~class_Rings_Olinordered__idom(_u1279) | ~c_Orderings_Oord__class_Oless(_u1279, c_Int_Onumber__class_Onumber__of(_u1279, _u1280), c_Int_Onumber__class_Onumber__of(_u1279, _u1281)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1280, _u1281) )).
% 15.12/15.31 cnf(matrix-777, plain, ( ~class_Int_Onumber__ring(_u1279) | ~class_Rings_Olinordered__idom(_u1279) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1280, _u1281) | c_Orderings_Oord__class_Oless(_u1279, c_Int_Onumber__class_Onumber__of(_u1279, _u1280), c_Int_Onumber__class_Onumber__of(_u1279, _u1281)) )).
% 15.12/15.31 cnf(matrix-778, plain, ( ~class_Int_Onumber__ring(_u1282) | ~class_Int_Oring__char__0(_u1282) | ( c_Int_Onumber__class_Onumber__of(_u1282, _u1283) != c_Int_Onumber__class_Onumber__of(_u1282, _u1284)) | ( _u1283 = _u1284) )).
% 15.12/15.31 cnf(matrix-779, plain, ( ~class_Int_Onumber__ring(_u1282) | ~class_Int_Oring__char__0(_u1282) | ( _u1283 != _u1284) | ( c_Int_Onumber__class_Onumber__of(_u1282, _u1283) = c_Int_Onumber__class_Onumber__of(_u1282, _u1284)) )).
% 15.12/15.31 cnf(matrix-780, plain, ( ~class_Int_Onumber(_u1285) | ( c_Int_Onumber__class_Onumber__of(_u1285, _u1286) != _u1287) | ( _u1287 = c_Int_Onumber__class_Onumber__of(_u1285, _u1286)) )).
% 15.12/15.31 cnf(matrix-781, plain, ( ~class_Int_Onumber(_u1285) | ( _u1287 != c_Int_Onumber__class_Onumber__of(_u1285, _u1286)) | ( c_Int_Onumber__class_Onumber__of(_u1285, _u1286) = _u1287) )).
% 15.12/15.31 cnf(matrix-782, plain, ( ~class_Int_Onumber__ring(_u1288) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, _u1289)), hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, _u1290)), _u1291)) = hAPP(c_Groups_Otimes__class_Otimes(_u1288, c_Int_Onumber__class_Onumber__of(_u1288, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1289), _u1290))), _u1291)) )).
% 15.12/15.31 cnf(matrix-783, plain, ( ~class_Int_Onumber__ring(_u1292) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1292, c_Int_Onumber__class_Onumber__of(_u1292, _u1293)), c_Int_Onumber__class_Onumber__of(_u1292, _u1294)) = c_Int_Onumber__class_Onumber__of(_u1292, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1293), _u1294))) )).
% 15.12/15.31 cnf(matrix-784, plain, ( ~class_Int_Onumber__ring(_u1295) | ( c_Int_Onumber__class_Onumber__of(_u1295, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1296), _u1297)) = hAPP(c_Groups_Otimes__class_Otimes(_u1295, c_Int_Onumber__class_Onumber__of(_u1295, _u1296)), c_Int_Onumber__class_Onumber__of(_u1295, _u1297))) )).
% 15.12/15.31 cnf(matrix-785, plain, ( ~class_Int_Onumber__ring(_u1298) | ~class_Rings_Olinordered__idom(_u1298) | ~c_Orderings_Oord__class_Oless__eq(_u1298, c_Int_Onumber__class_Onumber__of(_u1298, _u1299), c_Int_Onumber__class_Onumber__of(_u1298, _u1300)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1299, _u1300) )).
% 15.12/15.31 cnf(matrix-786, plain, ( ~class_Int_Onumber__ring(_u1298) | ~class_Rings_Olinordered__idom(_u1298) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1299, _u1300) | c_Orderings_Oord__class_Oless__eq(_u1298, c_Int_Onumber__class_Onumber__of(_u1298, _u1299), c_Int_Onumber__class_Onumber__of(_u1298, _u1300)) )).
% 15.12/15.31 cnf(matrix-787, plain, ( ~class_Int_Onumber(_u1301) | ~class_Orderings_Olinorder(_u1301) | ~c_Orderings_Oord__class_Oless__eq(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1302), c_Int_Onumber__class_Onumber__of(_u1301, _u1303)) | ~c_Orderings_Oord__class_Oless(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1303), c_Int_Onumber__class_Onumber__of(_u1301, _u1302)) )).
% 15.12/15.31 cnf(matrix-788, plain, ( ~class_Int_Onumber(_u1301) | ~class_Orderings_Olinorder(_u1301) | c_Orderings_Oord__class_Oless(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1303), c_Int_Onumber__class_Onumber__of(_u1301, _u1302)) | c_Orderings_Oord__class_Oless__eq(_u1301, c_Int_Onumber__class_Onumber__of(_u1301, _u1302), c_Int_Onumber__class_Onumber__of(_u1301, _u1303)) )).
% 15.12/15.31 cnf(matrix-789, plain, ( ~class_Int_Onumber(_u1304) | ~class_Rings_Osemiring(_u1304) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1304, c_Groups_Oplus__class_Oplus(_u1304, _u1305, _u1306)), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)) = c_Groups_Oplus__class_Oplus(_u1304, hAPP(c_Groups_Otimes__class_Otimes(_u1304, _u1305), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)), hAPP(c_Groups_Otimes__class_Otimes(_u1304, _u1306), c_Int_Onumber__class_Onumber__of(_u1304, _u1307)))) )).
% 15.12/15.31 cnf(matrix-790, plain, ( ~class_Int_Onumber(_u1308) | ~class_Rings_Osemiring(_u1308) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), c_Groups_Oplus__class_Oplus(_u1308, _u1310, _u1311)) = c_Groups_Oplus__class_Oplus(_u1308, hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), _u1310), hAPP(c_Groups_Otimes__class_Otimes(_u1308, c_Int_Onumber__class_Onumber__of(_u1308, _u1309)), _u1311))) )).
% 15.12/15.31 cnf(matrix-791, plain, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 != c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) = c_Groups_Ozero__class_Ozero(_u1312)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) = _u1314) )).
% 15.12/15.31 cnf(matrix-792, plain, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 != c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) != c_Groups_Ozero__class_Ozero(_u1312)) | ( _u1313 = c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.31 cnf(matrix-793, plain, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) != c_Groups_Ozero__class_Ozero(_u1312)) | ( _u1313 != c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.31 cnf(matrix-794, plain, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) != _u1314) | ( c_Int_Onumber__class_Onumber__of(_u1312, _u1315) = c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.31 cnf(matrix-795, plain, ( ~class_Fields_Ofield__inverse__zero(_u1312) | ~class_Int_Onumber(_u1312) | ( _u1313 = c_Rings_Oinverse__class_Odivide(_u1312, _u1314, c_Int_Onumber__class_Onumber__of(_u1312, _u1315))) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1312, _u1313), c_Int_Onumber__class_Onumber__of(_u1312, _u1315)) != _u1314) | ( _u1313 != c_Groups_Ozero__class_Ozero(_u1312)) )).
% 15.12/15.31 cnf(matrix-796, plain, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 = c_Groups_Ozero__class_Ozero(_u1316)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) = _u1318) )).
% 15.12/15.31 cnf(matrix-797, plain, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 != c_Groups_Ozero__class_Ozero(_u1316)) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.31 cnf(matrix-798, plain, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( _u1319 != c_Groups_Ozero__class_Ozero(_u1316)) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.31 cnf(matrix-799, plain, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) != _u1318) | ( _u1319 = c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.31 cnf(matrix-800, plain, ( ~class_Fields_Ofield__inverse__zero(_u1316) | ~class_Int_Onumber(_u1316) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) = c_Rings_Oinverse__class_Odivide(_u1316, _u1318, _u1319)) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1316, c_Int_Onumber__class_Onumber__of(_u1316, _u1317)), _u1319) != _u1318) | ( c_Int_Onumber__class_Onumber__of(_u1316, _u1317) != c_Groups_Ozero__class_Ozero(_u1316)) )).
% 15.12/15.31 cnf(matrix-801, plain, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) != c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 = c_Groups_Ozero__class_Ozero(_u1320)) | ( _u1321 = hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) )).
% 15.12/15.31 cnf(matrix-802, plain, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) != c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 != c_Groups_Ozero__class_Ozero(_u1320)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) = c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.31 cnf(matrix-803, plain, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1322 != c_Groups_Ozero__class_Ozero(_u1320)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) != c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.31 cnf(matrix-804, plain, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1321 != hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) | ( _u1322 = c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.31 cnf(matrix-805, plain, ( ~class_Fields_Ofield__inverse__zero(_u1320) | ~class_Int_Onumber(_u1320) | ( c_Rings_Oinverse__class_Odivide(_u1320, _u1321, _u1322) = c_Int_Onumber__class_Onumber__of(_u1320, _u1323)) | ( _u1321 != hAPP(c_Groups_Otimes__class_Otimes(_u1320, c_Int_Onumber__class_Onumber__of(_u1320, _u1323)), _u1322)) | ( c_Int_Onumber__class_Onumber__of(_u1320, _u1323) != c_Groups_Ozero__class_Ozero(_u1320)) )).
% 15.12/15.31 cnf(matrix-806, plain, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) != _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) = c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1325 = hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) )).
% 15.12/15.31 cnf(matrix-807, plain, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) != _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) != c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1327 = c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.31 cnf(matrix-808, plain, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) != c_Groups_Ozero__class_Ozero(_u1324)) | ( _u1327 != c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.31 cnf(matrix-809, plain, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( _u1325 != hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) | ( c_Int_Onumber__class_Onumber__of(_u1324, _u1326) = c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.31 cnf(matrix-810, plain, ( ~class_Fields_Ofield__inverse__zero(_u1324) | ~class_Int_Onumber(_u1324) | ( c_Rings_Oinverse__class_Odivide(_u1324, _u1325, c_Int_Onumber__class_Onumber__of(_u1324, _u1326)) = _u1327) | ( _u1325 != hAPP(c_Groups_Otimes__class_Otimes(_u1324, _u1327), c_Int_Onumber__class_Onumber__of(_u1324, _u1326))) | ( _u1327 != c_Groups_Ozero__class_Ozero(_u1324)) )).
% 15.12/15.31 cnf(matrix-811, plain, ( ~class_Int_Onumber(_u1328) | ~class_Rings_Odivision__ring(_u1328) | ( c_Rings_Oinverse__class_Oinverse(_u1328, c_Int_Onumber__class_Onumber__of(_u1328, _u1329)) = c_Rings_Oinverse__class_Odivide(_u1328, c_Groups_Oone__class_Oone(_u1328), c_Int_Onumber__class_Onumber__of(_u1328, _u1329))) )).
% 15.12/15.31 cnf(matrix-812, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) )).
% 15.12/15.31 cnf(matrix-813, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) )).
% 15.12/15.31 cnf(matrix-814, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | ~c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.31 cnf(matrix-815, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.31 cnf(matrix-816, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) )).
% 15.12/15.31 cnf(matrix-817, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.31 cnf(matrix-818, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)) )).
% 15.12/15.31 cnf(matrix-819, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.31 cnf(matrix-820, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Int_Onumber__class_Onumber__of(_u1330, _u1332), c_Groups_Ozero__class_Ozero(_u1330)) )).
% 15.12/15.31 cnf(matrix-821, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1330) | ~class_Int_Onumber(_u1330) | c_Orderings_Oord__class_Oless(_u1330, c_Rings_Oinverse__class_Odivide(_u1330, _u1331, c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1333) | ~c_Orderings_Oord__class_Oless(_u1330, _u1331, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332))) | ~c_Orderings_Oord__class_Oless(_u1330, hAPP(c_Groups_Otimes__class_Otimes(_u1330, _u1333), c_Int_Onumber__class_Onumber__of(_u1330, _u1332)), _u1331) | ~c_Orderings_Oord__class_Oless(_u1330, c_Groups_Ozero__class_Ozero(_u1330), _u1333) )).
% 15.12/15.31 cnf(matrix-822, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) )).
% 15.12/15.31 cnf(matrix-823, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) )).
% 15.12/15.31 cnf(matrix-824, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | ~c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.31 cnf(matrix-825, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.31 cnf(matrix-826, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) )).
% 15.12/15.31 cnf(matrix-827, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.31 cnf(matrix-828, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), _u1336) )).
% 15.12/15.31 cnf(matrix-829, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.31 cnf(matrix-830, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, _u1336, c_Groups_Ozero__class_Ozero(_u1334)) )).
% 15.12/15.31 cnf(matrix-831, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1334) | ~class_Int_Onumber(_u1334) | c_Orderings_Oord__class_Oless(_u1334, c_Rings_Oinverse__class_Odivide(_u1334, _u1335, _u1336), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) | ~c_Orderings_Oord__class_Oless(_u1334, _u1335, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336)) | ~c_Orderings_Oord__class_Oless(_u1334, hAPP(c_Groups_Otimes__class_Otimes(_u1334, c_Int_Onumber__class_Onumber__of(_u1334, _u1337)), _u1336), _u1335) | ~c_Orderings_Oord__class_Oless(_u1334, c_Groups_Ozero__class_Ozero(_u1334), c_Int_Onumber__class_Onumber__of(_u1334, _u1337)) )).
% 15.12/15.31 cnf(matrix-832, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) )).
% 15.12/15.31 cnf(matrix-833, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) )).
% 15.12/15.31 cnf(matrix-834, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-835, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-836, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-837, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-838, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, c_Groups_Ozero__class_Ozero(_u1338), _u1341) )).
% 15.12/15.31 cnf(matrix-839, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-840, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, _u1341, c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-841, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1338) | ~class_Int_Onumber(_u1338) | c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Rings_Oinverse__class_Odivide(_u1338, _u1340, _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341), _u1340) | ~c_Orderings_Oord__class_Oless(_u1338, _u1340, hAPP(c_Groups_Otimes__class_Otimes(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339)), _u1341)) | ~c_Orderings_Oord__class_Oless(_u1338, c_Int_Onumber__class_Onumber__of(_u1338, _u1339), c_Groups_Ozero__class_Ozero(_u1338)) )).
% 15.12/15.31 cnf(matrix-842, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) )).
% 15.12/15.31 cnf(matrix-843, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) )).
% 15.12/15.31 cnf(matrix-844, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-845, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-846, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-847, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-848, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, c_Groups_Ozero__class_Ozero(_u1342), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)) )).
% 15.12/15.31 cnf(matrix-849, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-850, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, c_Int_Onumber__class_Onumber__of(_u1342, _u1345), c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-851, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u1342) | ~class_Int_Onumber(_u1342) | c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Rings_Oinverse__class_Odivide(_u1342, _u1344, c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345)), _u1344) | ~c_Orderings_Oord__class_Oless(_u1342, _u1344, hAPP(c_Groups_Otimes__class_Otimes(_u1342, _u1343), c_Int_Onumber__class_Onumber__of(_u1342, _u1345))) | ~c_Orderings_Oord__class_Oless(_u1342, _u1343, c_Groups_Ozero__class_Ozero(_u1342)) )).
% 15.12/15.31 cnf(matrix-852, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1346) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oln, _u1346, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1346)) )).
% 15.12/15.31 cnf(matrix-853, plain, ( ~class_RealVector_Oreal__normed__field(_u1347) | c_Deriv_Oderiv(_u1347, c_Groups_Otimes__class_Otimes(_u1347, _u1348), _u1349, _u1348) )).
% 15.12/15.31 cnf(matrix-854, plain, ( ~class_Int_Onumber__ring(_u1350) | ( c_Int_Onumber__class_Onumber__of(_u1350, c_Int_Osucc(_u1351)) = c_Groups_Oplus__class_Oplus(_u1350, c_Groups_Oone__class_Oone(_u1350), c_Int_Onumber__class_Onumber__of(_u1350, _u1351))) )).
% 15.12/15.31 cnf(matrix-855, plain, ( ( _u1353 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1353) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-856, plain, ( ( _u1354 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1354) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1354) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-857, plain, ( ( _u1354 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1354) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1354) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.12/15.31 cnf(matrix-858, plain, ( ( _u1356 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1356) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-859, plain, ( ( _u1357 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1357) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1357) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-860, plain, ( ( _u1357 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1357) | ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u1357) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )).
% 15.12/15.31 cnf(matrix-861, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1358) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u1358), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1358)) )).
% 15.12/15.31 cnf(matrix-862, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1359, _u1360) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1359), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1360)) )).
% 15.12/15.31 cnf(matrix-863, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1361), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1362)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1361, _u1362))) )).
% 15.12/15.31 cnf(matrix-864, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1365), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1367)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1365, _u1367) )).
% 15.12/15.31 cnf(matrix-865, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1366, _u1368) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1366), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1368)) )).
% 15.12/15.31 cnf(matrix-866, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1369)), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1370)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1369), _u1370))) )).
% 15.12/15.31 cnf(matrix-867, plain, ( ~class_Int_Onumber__ring(_u1371) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1371, c_Groups_Ouminus__class_Ouminus(_u1371, c_Int_Onumber__class_Onumber__of(_u1371, _u1372))), _u1373) = hAPP(c_Groups_Otimes__class_Otimes(_u1371, c_Int_Onumber__class_Onumber__of(_u1371, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1372))), _u1373)) )).
% 15.12/15.31 cnf(matrix-868, plain, ( ~class_Int_Onumber__ring(_u1374) | ( c_Int_Onumber__class_Onumber__of(_u1374, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1375)) = c_Groups_Ouminus__class_Ouminus(_u1374, c_Int_Onumber__class_Onumber__of(_u1374, _u1375))) )).
% 15.12/15.31 cnf(matrix-869, plain, ( ~class_Int_Onumber__ring(_u1376) | ( c_Groups_Ouminus__class_Ouminus(_u1376, c_Int_Onumber__class_Onumber__of(_u1376, _u1377)) = c_Int_Onumber__class_Onumber__of(_u1376, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1377))) )).
% 15.12/15.31 cnf(matrix-870, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1380), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1382)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1380, _u1382) )).
% 15.12/15.31 cnf(matrix-871, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1381, _u1383) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1381), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1383)) )).
% 15.12/15.31 cnf(matrix-872, plain, ( ~class_RealVector_Oreal__normed__vector(_u1384) | ( c_Groups_Osgn__class_Osgn(_u1384, c_Groups_Ouminus__class_Ouminus(_u1384, _u1385)) = c_Groups_Ouminus__class_Ouminus(_u1384, c_Groups_Osgn__class_Osgn(_u1384, _u1385))) )).
% 15.12/15.31 cnf(matrix-873, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1388), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1390)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1388, _u1390) )).
% 15.12/15.31 cnf(matrix-874, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1389, _u1391) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1389), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1391)) )).
% 15.12/15.31 cnf(matrix-875, plain, ( ~class_RealVector_Oreal__normed__field(_u1392) | ~class_SEQ_Obanach(_u1392) | ( hAPP(c_Transcendental_Oexp(_u1392), c_Groups_Ouminus__class_Ouminus(_u1392, _u1393)) = c_Rings_Oinverse__class_Oinverse(_u1392, hAPP(c_Transcendental_Oexp(_u1392), _u1393))) )).
% 15.12/15.31 cnf(matrix-876, plain, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1396) != hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1398)) | ( _u1396 = _u1398) )).
% 15.12/15.31 cnf(matrix-877, plain, ( ( _u1397 != _u1399) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1397) = hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1399)) )).
% 15.12/15.31 cnf(matrix-878, plain, ( ~class_Groups_Ogroup__add(_u1400) | ( c_Groups_Ouminus__class_Ouminus(_u1400, c_Groups_Ozero__class_Ozero(_u1400)) = c_Groups_Ozero__class_Ozero(_u1400)) )).
% 15.12/15.31 cnf(matrix-879, plain, ( ~class_Groups_Ogroup__add(_u1401) | ( c_Groups_Ozero__class_Ozero(_u1401) != c_Groups_Ouminus__class_Ouminus(_u1401, _u1402)) | ( c_Groups_Ozero__class_Ozero(_u1401) = _u1402) )).
% 15.12/15.31 cnf(matrix-880, plain, ( ~class_Groups_Ogroup__add(_u1401) | ( c_Groups_Ozero__class_Ozero(_u1401) != _u1402) | ( c_Groups_Ozero__class_Ozero(_u1401) = c_Groups_Ouminus__class_Ouminus(_u1401, _u1402)) )).
% 15.12/15.31 cnf(matrix-881, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1403) | ( _u1404 != c_Groups_Ouminus__class_Ouminus(_u1403, _u1404)) | ( _u1404 = c_Groups_Ozero__class_Ozero(_u1403)) )).
% 15.12/15.31 cnf(matrix-882, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1403) | ( _u1404 != c_Groups_Ozero__class_Ozero(_u1403)) | ( _u1404 = c_Groups_Ouminus__class_Ouminus(_u1403, _u1404)) )).
% 15.12/15.31 cnf(matrix-883, plain, ( ~class_Groups_Ogroup__add(_u1405) | ( c_Groups_Ouminus__class_Ouminus(_u1405, _u1406) != c_Groups_Ozero__class_Ozero(_u1405)) | ( _u1406 = c_Groups_Ozero__class_Ozero(_u1405)) )).
% 15.12/15.31 cnf(matrix-884, plain, ( ~class_Groups_Ogroup__add(_u1405) | ( _u1406 != c_Groups_Ozero__class_Ozero(_u1405)) | ( c_Groups_Ouminus__class_Ouminus(_u1405, _u1406) = c_Groups_Ozero__class_Ozero(_u1405)) )).
% 15.12/15.31 cnf(matrix-885, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1407) | ( c_Groups_Ouminus__class_Ouminus(_u1407, _u1408) != _u1408) | ( _u1408 = c_Groups_Ozero__class_Ozero(_u1407)) )).
% 15.12/15.31 cnf(matrix-886, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1407) | ( _u1408 != c_Groups_Ozero__class_Ozero(_u1407)) | ( c_Groups_Ouminus__class_Ouminus(_u1407, _u1408) = _u1408) )).
% 15.12/15.31 cnf(matrix-887, plain, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, c_Groups_Ouminus__class_Ouminus(_u1409, _u1411)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1411, c_Groups_Ouminus__class_Ouminus(_u1409, _u1410)) )).
% 15.12/15.31 cnf(matrix-888, plain, ( ~class_Groups_Oordered__ab__group__add(_u1409) | ~c_Orderings_Oord__class_Oless__eq(_u1409, _u1411, c_Groups_Ouminus__class_Ouminus(_u1409, _u1410)) | c_Orderings_Oord__class_Oless__eq(_u1409, _u1410, c_Groups_Ouminus__class_Ouminus(_u1409, _u1411)) )).
% 15.12/15.31 cnf(matrix-889, plain, ( ~class_Groups_Oordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1414) | c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1414), _u1413) )).
% 15.12/15.31 cnf(matrix-890, plain, ( ~class_Groups_Oordered__ab__group__add(_u1412) | ~c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1414), _u1413) | c_Orderings_Oord__class_Oless__eq(_u1412, c_Groups_Ouminus__class_Ouminus(_u1412, _u1413), _u1414) )).
% 15.12/15.31 cnf(matrix-891, plain, ( ~class_Groups_Oordered__ab__group__add(_u1415) | ~c_Orderings_Oord__class_Oless__eq(_u1415, c_Groups_Ouminus__class_Ouminus(_u1415, _u1416), c_Groups_Ouminus__class_Ouminus(_u1415, _u1417)) | c_Orderings_Oord__class_Oless__eq(_u1415, _u1417, _u1416) )).
% 15.12/15.31 cnf(matrix-892, plain, ( ~class_Groups_Oordered__ab__group__add(_u1415) | ~c_Orderings_Oord__class_Oless__eq(_u1415, _u1417, _u1416) | c_Orderings_Oord__class_Oless__eq(_u1415, c_Groups_Ouminus__class_Ouminus(_u1415, _u1416), c_Groups_Ouminus__class_Ouminus(_u1415, _u1417)) )).
% 15.12/15.31 cnf(matrix-893, plain, ( ~class_Groups_Oordered__ab__group__add(_u1418) | ~c_Orderings_Oord__class_Oless__eq(_u1418, _u1419, _u1420) | c_Orderings_Oord__class_Oless__eq(_u1418, c_Groups_Ouminus__class_Ouminus(_u1418, _u1420), c_Groups_Ouminus__class_Ouminus(_u1418, _u1419)) )).
% 15.12/15.31 cnf(matrix-894, plain, ( ~class_Lattices_Oboolean__algebra(_u1421) | ~c_Orderings_Oord__class_Oless__eq(_u1421, _u1422, _u1423) | c_Orderings_Oord__class_Oless__eq(_u1421, c_Groups_Ouminus__class_Ouminus(_u1421, _u1423), c_Groups_Ouminus__class_Ouminus(_u1421, _u1422)) )).
% 15.12/15.31 cnf(matrix-895, plain, ( ~class_Lattices_Oboolean__algebra(_u1424) | ~c_Orderings_Oord__class_Oless__eq(_u1424, c_Groups_Ouminus__class_Ouminus(_u1424, _u1425), c_Groups_Ouminus__class_Ouminus(_u1424, _u1426)) | c_Orderings_Oord__class_Oless__eq(_u1424, _u1426, _u1425) )).
% 15.12/15.31 cnf(matrix-896, plain, ( ~class_Lattices_Oboolean__algebra(_u1424) | ~c_Orderings_Oord__class_Oless__eq(_u1424, _u1426, _u1425) | c_Orderings_Oord__class_Oless__eq(_u1424, c_Groups_Ouminus__class_Ouminus(_u1424, _u1425), c_Groups_Ouminus__class_Ouminus(_u1424, _u1426)) )).
% 15.12/15.31 cnf(matrix-897, plain, ( ~class_Groups_Oordered__ab__group__add(_u1427) | ~c_Orderings_Oord__class_Oless(_u1427, c_Groups_Ouminus__class_Ouminus(_u1427, _u1428), c_Groups_Ouminus__class_Ouminus(_u1427, _u1429)) | c_Orderings_Oord__class_Oless(_u1427, _u1429, _u1428) )).
% 15.12/15.31 cnf(matrix-898, plain, ( ~class_Groups_Oordered__ab__group__add(_u1427) | ~c_Orderings_Oord__class_Oless(_u1427, _u1429, _u1428) | c_Orderings_Oord__class_Oless(_u1427, c_Groups_Ouminus__class_Ouminus(_u1427, _u1428), c_Groups_Ouminus__class_Ouminus(_u1427, _u1429)) )).
% 15.12/15.31 cnf(matrix-899, plain, ( ~class_Groups_Oordered__ab__group__add(_u1430) | ~c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1432) | c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1432), _u1431) )).
% 15.12/15.31 cnf(matrix-900, plain, ( ~class_Groups_Oordered__ab__group__add(_u1430) | ~c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1432), _u1431) | c_Orderings_Oord__class_Oless(_u1430, c_Groups_Ouminus__class_Ouminus(_u1430, _u1431), _u1432) )).
% 15.12/15.31 cnf(matrix-901, plain, ( ~class_Groups_Oordered__ab__group__add(_u1433) | ~c_Orderings_Oord__class_Oless(_u1433, _u1434, c_Groups_Ouminus__class_Ouminus(_u1433, _u1435)) | c_Orderings_Oord__class_Oless(_u1433, _u1435, c_Groups_Ouminus__class_Ouminus(_u1433, _u1434)) )).
% 15.12/15.31 cnf(matrix-902, plain, ( ~class_Groups_Oordered__ab__group__add(_u1433) | ~c_Orderings_Oord__class_Oless(_u1433, _u1435, c_Groups_Ouminus__class_Ouminus(_u1433, _u1434)) | c_Orderings_Oord__class_Oless(_u1433, _u1434, c_Groups_Ouminus__class_Ouminus(_u1433, _u1435)) )).
% 15.12/15.31 cnf(matrix-903, plain, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) != hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 = _u1438) | ( _u1437 = c_Groups_Ouminus__class_Ouminus(_u1436, _u1438)) )).
% 15.12/15.31 cnf(matrix-904, plain, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) = hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 != _u1438) )).
% 15.12/15.31 cnf(matrix-905, plain, ( ~class_Rings_Oidom(_u1436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1437), _u1437) = hAPP(c_Groups_Otimes__class_Otimes(_u1436, _u1438), _u1438)) | ( _u1437 != c_Groups_Ouminus__class_Ouminus(_u1436, _u1438)) )).
% 15.12/15.31 cnf(matrix-906, plain, ( ~class_Rings_Oring(_u1439) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1439, c_Groups_Ouminus__class_Ouminus(_u1439, _u1440)), c_Groups_Ouminus__class_Ouminus(_u1439, _u1441)) = hAPP(c_Groups_Otimes__class_Otimes(_u1439, _u1440), _u1441)) )).
% 15.12/15.31 cnf(matrix-907, plain, ( ~class_Rings_Oring(_u1442) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1442, c_Groups_Ouminus__class_Ouminus(_u1442, _u1443)), _u1444) = hAPP(c_Groups_Otimes__class_Otimes(_u1442, _u1443), c_Groups_Ouminus__class_Ouminus(_u1442, _u1444))) )).
% 15.12/15.31 cnf(matrix-908, plain, ( ~class_Rings_Oring(_u1445) | ( c_Groups_Ouminus__class_Ouminus(_u1445, hAPP(c_Groups_Otimes__class_Otimes(_u1445, _u1446), _u1447)) = hAPP(c_Groups_Otimes__class_Otimes(_u1445, c_Groups_Ouminus__class_Ouminus(_u1445, _u1446)), _u1447)) )).
% 15.12/15.31 cnf(matrix-909, plain, ( ~class_Rings_Oring(_u1448) | ( c_Groups_Ouminus__class_Ouminus(_u1448, hAPP(c_Groups_Otimes__class_Otimes(_u1448, _u1449), _u1450)) = hAPP(c_Groups_Otimes__class_Otimes(_u1448, _u1449), c_Groups_Ouminus__class_Ouminus(_u1448, _u1450))) )).
% 15.12/15.31 cnf(matrix-910, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1451) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1451, c_Groups_Ouminus__class_Ouminus(_u1451, _u1452)), _u1453) = c_Groups_Ouminus__class_Ouminus(_u1451, hAPP(c_Groups_Otimes__class_Otimes(_u1451, _u1452), _u1453))) )).
% 15.12/15.31 cnf(matrix-911, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1454) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1454, c_Groups_Ouminus__class_Ouminus(_u1454, _u1455)), _u1456) = c_Groups_Ouminus__class_Ouminus(_u1454, hAPP(c_Groups_Otimes__class_Otimes(_u1454, _u1455), _u1456))) )).
% 15.12/15.31 cnf(matrix-912, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1457) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1457, _u1458), c_Groups_Ouminus__class_Ouminus(_u1457, _u1459)) = c_Groups_Ouminus__class_Ouminus(_u1457, hAPP(c_Groups_Otimes__class_Otimes(_u1457, _u1458), _u1459))) )).
% 15.12/15.31 cnf(matrix-913, plain, ( ~class_RealVector_Oreal__normed__algebra(_u1460) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1460, _u1461), c_Groups_Ouminus__class_Ouminus(_u1460, _u1462)) = c_Groups_Ouminus__class_Ouminus(_u1460, hAPP(c_Groups_Otimes__class_Otimes(_u1460, _u1461), _u1462))) )).
% 15.12/15.31 cnf(matrix-914, plain, ( ~class_Groups_Ogroup__add(_u1463) | ( c_Groups_Oplus__class_Oplus(_u1463, c_Groups_Ouminus__class_Ouminus(_u1463, _u1464), c_Groups_Oplus__class_Oplus(_u1463, _u1464, _u1465)) = _u1465) )).
% 15.12/15.31 cnf(matrix-915, plain, ( ~class_Groups_Ogroup__add(_u1466) | ( c_Groups_Oplus__class_Oplus(_u1466, _u1467, c_Groups_Oplus__class_Oplus(_u1466, c_Groups_Ouminus__class_Ouminus(_u1466, _u1467), _u1468)) = _u1468) )).
% 15.12/15.31 cnf(matrix-916, plain, ( ~class_Groups_Ogroup__add(_u1469) | ( c_Groups_Ouminus__class_Ouminus(_u1469, c_Groups_Oplus__class_Oplus(_u1469, _u1470, _u1471)) = c_Groups_Oplus__class_Oplus(_u1469, c_Groups_Ouminus__class_Ouminus(_u1469, _u1471), c_Groups_Ouminus__class_Ouminus(_u1469, _u1470))) )).
% 15.12/15.31 cnf(matrix-917, plain, ( ~class_Groups_Oab__group__add(_u1472) | ( c_Groups_Ouminus__class_Ouminus(_u1472, c_Groups_Oplus__class_Oplus(_u1472, _u1473, _u1474)) = c_Groups_Oplus__class_Oplus(_u1472, c_Groups_Ouminus__class_Ouminus(_u1472, _u1473), c_Groups_Ouminus__class_Ouminus(_u1472, _u1474))) )).
% 15.12/15.31 cnf(matrix-918, plain, ( ~class_Rings_Odivision__ring(_u1475) | ( c_Groups_Ouminus__class_Ouminus(_u1475, c_Rings_Oinverse__class_Odivide(_u1475, _u1476, _u1477)) = c_Rings_Oinverse__class_Odivide(_u1475, c_Groups_Ouminus__class_Ouminus(_u1475, _u1476), _u1477)) )).
% 15.12/15.31 cnf(matrix-919, plain, ( ~class_Fields_Ofield__inverse__zero(_u1478) | ( c_Groups_Ouminus__class_Ouminus(_u1478, c_Rings_Oinverse__class_Odivide(_u1478, _u1479, _u1480)) = c_Rings_Oinverse__class_Odivide(_u1478, _u1479, c_Groups_Ouminus__class_Ouminus(_u1478, _u1480))) )).
% 15.12/15.31 cnf(matrix-920, plain, ( ~class_Fields_Ofield__inverse__zero(_u1481) | ( c_Rings_Oinverse__class_Odivide(_u1481, c_Groups_Ouminus__class_Ouminus(_u1481, _u1482), c_Groups_Ouminus__class_Ouminus(_u1481, _u1483)) = c_Rings_Oinverse__class_Odivide(_u1481, _u1482, _u1483)) )).
% 15.12/15.31 cnf(matrix-921, plain, ( ~class_RealVector_Oreal__normed__field(_u1484) | ( c_Rings_Oinverse__class_Odivide(_u1484, c_Groups_Ouminus__class_Ouminus(_u1484, _u1485), _u1486) = c_Groups_Ouminus__class_Ouminus(_u1484, c_Rings_Oinverse__class_Odivide(_u1484, _u1485, _u1486))) )).
% 15.12/15.31 cnf(matrix-922, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u1487) | ( c_Rings_Oinverse__class_Oinverse(_u1487, c_Groups_Ouminus__class_Ouminus(_u1487, _u1488)) = c_Groups_Ouminus__class_Ouminus(_u1487, c_Rings_Oinverse__class_Oinverse(_u1487, _u1488))) )).
% 15.12/15.31 cnf(matrix-923, plain, ( ~class_Lattices_Oboolean__algebra(_u1489) | ( c_Groups_Ouminus__class_Ouminus(_u1489, c_Groups_Ouminus__class_Ouminus(_u1489, _u1490)) = _u1490) )).
% 15.12/15.31 cnf(matrix-924, plain, ( ~class_Groups_Ouminus(_u1491) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u1492, _u1491), _u1493), _u1494) = c_Groups_Ouminus__class_Ouminus(_u1491, hAPP(_u1493, _u1494))) )).
% 15.12/15.31 cnf(matrix-925, plain, ( ~class_Lattices_Oboolean__algebra(_u1495) | ( c_Groups_Ouminus__class_Ouminus(_u1495, _u1496) != c_Groups_Ouminus__class_Ouminus(_u1495, _u1497)) | ( _u1496 = _u1497) )).
% 15.12/15.31 cnf(matrix-926, plain, ( ~class_Lattices_Oboolean__algebra(_u1495) | ( _u1496 != _u1497) | ( c_Groups_Ouminus__class_Ouminus(_u1495, _u1496) = c_Groups_Ouminus__class_Ouminus(_u1495, _u1497)) )).
% 15.12/15.31 cnf(matrix-927, plain, ( ~class_Groups_Ogroup__add(_u1498) | ( c_Groups_Ouminus__class_Ouminus(_u1498, c_Groups_Ouminus__class_Ouminus(_u1498, _u1499)) = _u1499) )).
% 15.12/15.31 cnf(matrix-928, plain, ( ~class_Groups_Ogroup__add(_u1500) | ( _u1501 != c_Groups_Ouminus__class_Ouminus(_u1500, _u1502)) | ( _u1502 = c_Groups_Ouminus__class_Ouminus(_u1500, _u1501)) )).
% 15.12/15.31 cnf(matrix-929, plain, ( ~class_Groups_Ogroup__add(_u1500) | ( _u1502 != c_Groups_Ouminus__class_Ouminus(_u1500, _u1501)) | ( _u1501 = c_Groups_Ouminus__class_Ouminus(_u1500, _u1502)) )).
% 15.12/15.31 cnf(matrix-930, plain, ( ~class_Groups_Ogroup__add(_u1503) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1504) != _u1505) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1505) = _u1504) )).
% 15.12/15.31 cnf(matrix-931, plain, ( ~class_Groups_Ogroup__add(_u1503) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1505) != _u1504) | ( c_Groups_Ouminus__class_Ouminus(_u1503, _u1504) = _u1505) )).
% 15.12/15.31 cnf(matrix-932, plain, ( ~class_Groups_Ogroup__add(_u1506) | ( c_Groups_Ouminus__class_Ouminus(_u1506, _u1507) != c_Groups_Ouminus__class_Ouminus(_u1506, _u1508)) | ( _u1507 = _u1508) )).
% 15.12/15.31 cnf(matrix-933, plain, ( ~class_Groups_Ogroup__add(_u1506) | ( _u1507 != _u1508) | ( c_Groups_Ouminus__class_Ouminus(_u1506, _u1507) = c_Groups_Ouminus__class_Ouminus(_u1506, _u1508)) )).
% 15.12/15.31 cnf(matrix-934, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1511), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1513)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1511, _u1513) )).
% 15.12/15.31 cnf(matrix-935, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1512, _u1514) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1512), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1514)) )).
% 15.12/15.31 cnf(matrix-936, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1515), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1516)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1515, _u1516) )).
% 15.12/15.31 cnf(matrix-937, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1517, _u1518) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1518, _u1517) | ( _u1517 = _u1518) )).
% 15.12/15.31 cnf(matrix-938, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, _u1520) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1520, _u1521) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1519, _u1521) )).
% 15.12/15.31 cnf(matrix-939, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1522, _u1523) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1523, _u1522) )).
% 15.12/15.31 cnf(matrix-940, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1524, _u1524) )).
% 15.12/15.31 cnf(matrix-941, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1525) = _u1525) )).
% 15.12/15.31 cnf(matrix-942, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1526), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u1526) )).
% 15.12/15.31 cnf(matrix-943, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1527), _u1528)), _u1529) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1527), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1528), _u1529))) )).
% 15.12/15.31 cnf(matrix-944, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1530), _u1531) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1531), _u1530)) )).
% 15.12/15.31 cnf(matrix-945, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1532, _u1533) | ( _u1532 = _u1533) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1533, _u1532) )).
% 15.12/15.31 cnf(matrix-946, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1534, _u1535) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1536) | c_Orderings_Oord__class_Oless(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1536), _u1534), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1536), _u1535)) )).
% 15.12/15.31 cnf(matrix-947, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1537) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1537 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-948, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1537) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1538 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-949, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1537) | ( _u1537 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u1538 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1537), _u1538) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-950, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-951, 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), _u1539), _u1539) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-952, plain, ( ( c_Int_Osucc(_u1540) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1540, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.31 cnf(matrix-953, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1541) = _u1541) )).
% 15.12/15.31 cnf(matrix-954, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1542, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u1542) )).
% 15.12/15.31 cnf(matrix-955, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1545, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1547, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1545, _u1547) | ( _u1545 = _u1547) )).
% 15.12/15.31 cnf(matrix-956, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1548, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, _u1548) )).
% 15.12/15.31 cnf(matrix-957, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1546, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1548, c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u1546 != _u1548) )).
% 15.12/15.31 cnf(matrix-958, 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), _u1550), _u1550), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1550, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-959, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1551, 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), _u1551), _u1551), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-960, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1552, _u1553) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1552, _u1554), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1553, _u1554)) )).
% 15.12/15.31 cnf(matrix-961, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1555, _u1556) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1556, _u1555)) )).
% 15.12/15.31 cnf(matrix-962, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1557, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1558, _u1559)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1558, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1557, _u1559))) )).
% 15.12/15.31 cnf(matrix-963, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1560, _u1561), _u1562) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1560, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1561, _u1562))) )).
% 15.12/15.31 cnf(matrix-964, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1563, _u1564)), _u1565) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1563), _u1565), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1564), _u1565))) )).
% 15.12/15.31 cnf(matrix-965, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1567, _u1568)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), _u1567), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1566), _u1568))) )).
% 15.12/15.31 cnf(matrix-966, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1570) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1570) )).
% 15.12/15.31 cnf(matrix-967, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1571) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1571) )).
% 15.12/15.31 cnf(matrix-968, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1574, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1576, c_Groups_Oone__class_Oone(tc_Int_Oint))) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1574, _u1576) )).
% 15.12/15.31 cnf(matrix-969, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1575, _u1577) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1575, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1577, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.31 cnf(matrix-970, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1580, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1582) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1580, _u1582) )).
% 15.12/15.31 cnf(matrix-971, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1581, _u1583) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1581, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1583) )).
% 15.12/15.31 cnf(matrix-972, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1584) | 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), _u1584)) )).
% 15.12/15.31 cnf(matrix-973, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1585, _u1586) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1585, c_Groups_Oone__class_Oone(tc_Int_Oint)), _u1586) )).
% 15.12/15.31 cnf(matrix-974, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1587, _u1588) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1589, _u1590) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1587, _u1589), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1588, _u1590)) )).
% 15.12/15.31 cnf(matrix-975, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1593, _u1595) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1593, _u1595) )).
% 15.12/15.31 cnf(matrix-976, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1593, _u1595) | ( _u1593 != _u1595) )).
% 15.12/15.31 cnf(matrix-977, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1594, _u1596) | ( _u1594 = _u1596) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1594, _u1596) )).
% 15.12/15.31 cnf(matrix-978, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1597, _u1598) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1599, _u1597), c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1599, _u1598)) )).
% 15.12/15.31 cnf(matrix-979, plain, ( ( hAPP(c_Transcendental_Oln, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1600)) = _u1600) )).
% 15.12/15.31 cnf(matrix-980, plain, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1601) != _u1602) | ( hAPP(c_Transcendental_Oln, _u1602) = _u1601) )).
% 15.12/15.31 cnf(matrix-981, plain, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1603) != _u1604) | ( hAPP(c_Transcendental_Oln, _u1604) = _u1603) )).
% 15.12/15.31 cnf(matrix-982, plain, ( ~class_RealVector_Oreal__normed__field(_u1605) | ~class_SEQ_Obanach(_u1605) | ( hAPP(c_Transcendental_Oexp(_u1605), _u1606) != c_Groups_Ozero__class_Ozero(_u1605)) )).
% 15.12/15.31 cnf(matrix-983, plain, ( ~class_RealVector_Oreal__normed__field(_u1607) | ~class_SEQ_Obanach(_u1607) | c_Deriv_Oderiv(_u1607, c_Transcendental_Oexp(_u1607), _u1608, hAPP(c_Transcendental_Oexp(_u1607), _u1608)) )).
% 15.12/15.31 cnf(matrix-984, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1609) | ~c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ouminus__class_Ouminus(_u1609, _u1610), _u1610) | c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ozero__class_Ozero(_u1609), _u1610) )).
% 15.12/15.31 cnf(matrix-985, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1609) | ~c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ozero__class_Ozero(_u1609), _u1610) | c_Orderings_Oord__class_Oless__eq(_u1609, c_Groups_Ouminus__class_Ouminus(_u1609, _u1610), _u1610) )).
% 15.12/15.31 cnf(matrix-986, plain, ( ~class_Groups_Oordered__ab__group__add(_u1611) | ~c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ouminus__class_Ouminus(_u1611, _u1612), c_Groups_Ozero__class_Ozero(_u1611)) | c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ozero__class_Ozero(_u1611), _u1612) )).
% 15.12/15.31 cnf(matrix-987, plain, ( ~class_Groups_Oordered__ab__group__add(_u1611) | ~c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ozero__class_Ozero(_u1611), _u1612) | c_Orderings_Oord__class_Oless__eq(_u1611, c_Groups_Ouminus__class_Ouminus(_u1611, _u1612), c_Groups_Ozero__class_Ozero(_u1611)) )).
% 15.12/15.31 cnf(matrix-988, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1613) | ~c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ouminus__class_Ouminus(_u1613, _u1614)) | c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ozero__class_Ozero(_u1613)) )).
% 15.12/15.31 cnf(matrix-989, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1613) | ~c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ozero__class_Ozero(_u1613)) | c_Orderings_Oord__class_Oless__eq(_u1613, _u1614, c_Groups_Ouminus__class_Ouminus(_u1613, _u1614)) )).
% 15.12/15.31 cnf(matrix-990, plain, ( ~class_Groups_Oordered__ab__group__add(_u1615) | ~c_Orderings_Oord__class_Oless__eq(_u1615, c_Groups_Ozero__class_Ozero(_u1615), c_Groups_Ouminus__class_Ouminus(_u1615, _u1616)) | c_Orderings_Oord__class_Oless__eq(_u1615, _u1616, c_Groups_Ozero__class_Ozero(_u1615)) )).
% 15.12/15.31 cnf(matrix-991, plain, ( ~class_Groups_Oordered__ab__group__add(_u1615) | ~c_Orderings_Oord__class_Oless__eq(_u1615, _u1616, c_Groups_Ozero__class_Ozero(_u1615)) | c_Orderings_Oord__class_Oless__eq(_u1615, c_Groups_Ozero__class_Ozero(_u1615), c_Groups_Ouminus__class_Ouminus(_u1615, _u1616)) )).
% 15.12/15.31 cnf(matrix-992, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1617) | ~c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ouminus__class_Ouminus(_u1617, _u1618), _u1618) | c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ozero__class_Ozero(_u1617), _u1618) )).
% 15.12/15.31 cnf(matrix-993, plain, ( ~class_Groups_Olinordered__ab__group__add(_u1617) | ~c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ozero__class_Ozero(_u1617), _u1618) | c_Orderings_Oord__class_Oless(_u1617, c_Groups_Ouminus__class_Ouminus(_u1617, _u1618), _u1618) )).
% 15.12/15.31 cnf(matrix-994, plain, ( ~class_Groups_Oordered__ab__group__add(_u1619) | ~c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ouminus__class_Ouminus(_u1619, _u1620), c_Groups_Ozero__class_Ozero(_u1619)) | c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ozero__class_Ozero(_u1619), _u1620) )).
% 15.12/15.31 cnf(matrix-995, plain, ( ~class_Groups_Oordered__ab__group__add(_u1619) | ~c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ozero__class_Ozero(_u1619), _u1620) | c_Orderings_Oord__class_Oless(_u1619, c_Groups_Ouminus__class_Ouminus(_u1619, _u1620), c_Groups_Ozero__class_Ozero(_u1619)) )).
% 15.12/15.31 cnf(matrix-996, plain, ( ~class_Groups_Oordered__ab__group__add(_u1621) | ~c_Orderings_Oord__class_Oless(_u1621, c_Groups_Ozero__class_Ozero(_u1621), c_Groups_Ouminus__class_Ouminus(_u1621, _u1622)) | c_Orderings_Oord__class_Oless(_u1621, _u1622, c_Groups_Ozero__class_Ozero(_u1621)) )).
% 15.12/15.31 cnf(matrix-997, plain, ( ~class_Groups_Oordered__ab__group__add(_u1621) | ~c_Orderings_Oord__class_Oless(_u1621, _u1622, c_Groups_Ozero__class_Ozero(_u1621)) | c_Orderings_Oord__class_Oless(_u1621, c_Groups_Ozero__class_Ozero(_u1621), c_Groups_Ouminus__class_Ouminus(_u1621, _u1622)) )).
% 15.12/15.31 cnf(matrix-998, plain, ( ~class_Rings_Olinordered__idom(_u1623) | ~c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ouminus__class_Ouminus(_u1623, _u1624)) | c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ozero__class_Ozero(_u1623)) )).
% 15.12/15.31 cnf(matrix-999, plain, ( ~class_Rings_Olinordered__idom(_u1623) | ~c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ozero__class_Ozero(_u1623)) | c_Orderings_Oord__class_Oless(_u1623, _u1624, c_Groups_Ouminus__class_Ouminus(_u1623, _u1624)) )).
% 15.12/15.31 cnf(matrix-1000, plain, ( ~class_Groups_Ogroup__add(_u1625) | ( c_Groups_Oplus__class_Oplus(_u1625, _u1626, _u1627) != c_Groups_Ozero__class_Ozero(_u1625)) | ( _u1627 = c_Groups_Ouminus__class_Ouminus(_u1625, _u1626)) )).
% 15.12/15.31 cnf(matrix-1001, plain, ( ~class_Groups_Ogroup__add(_u1625) | ( _u1627 != c_Groups_Ouminus__class_Ouminus(_u1625, _u1626)) | ( c_Groups_Oplus__class_Oplus(_u1625, _u1626, _u1627) = c_Groups_Ozero__class_Ozero(_u1625)) )).
% 15.12/15.31 cnf(matrix-1002, plain, ( ~class_Groups_Ogroup__add(_u1628) | ( c_Groups_Oplus__class_Oplus(_u1628, _u1629, c_Groups_Ouminus__class_Ouminus(_u1628, _u1629)) = c_Groups_Ozero__class_Ozero(_u1628)) )).
% 15.12/15.31 cnf(matrix-1003, plain, ( ~class_Groups_Ogroup__add(_u1630) | ( _u1631 != c_Groups_Ouminus__class_Ouminus(_u1630, _u1632)) | ( c_Groups_Oplus__class_Oplus(_u1630, _u1631, _u1632) = c_Groups_Ozero__class_Ozero(_u1630)) )).
% 15.12/15.31 cnf(matrix-1004, plain, ( ~class_Groups_Ogroup__add(_u1630) | ( c_Groups_Oplus__class_Oplus(_u1630, _u1631, _u1632) != c_Groups_Ozero__class_Ozero(_u1630)) | ( _u1631 = c_Groups_Ouminus__class_Ouminus(_u1630, _u1632)) )).
% 15.12/15.31 cnf(matrix-1005, plain, ( ~class_Groups_Ogroup__add(_u1633) | ( c_Groups_Oplus__class_Oplus(_u1633, c_Groups_Ouminus__class_Ouminus(_u1633, _u1634), _u1634) = c_Groups_Ozero__class_Ozero(_u1633)) )).
% 15.12/15.31 cnf(matrix-1006, plain, ( ~class_Groups_Oab__group__add(_u1635) | ( c_Groups_Oplus__class_Oplus(_u1635, c_Groups_Ouminus__class_Ouminus(_u1635, _u1636), _u1636) = c_Groups_Ozero__class_Ozero(_u1635)) )).
% 15.12/15.31 cnf(matrix-1007, plain, ( ~class_Groups_Ogroup__add(_u1637) | ( c_Groups_Oplus__class_Oplus(_u1637, _u1638, _u1639) != c_Groups_Ozero__class_Ozero(_u1637)) | ( c_Groups_Ouminus__class_Ouminus(_u1637, _u1638) = _u1639) )).
% 15.12/15.31 cnf(matrix-1008, plain, ( ~class_Rings_Ocomm__ring__1(_u1640) | ( c_Groups_Ouminus__class_Ouminus(_u1640, _u1641) = hAPP(c_Groups_Otimes__class_Otimes(_u1640, c_Groups_Ouminus__class_Ouminus(_u1640, c_Groups_Oone__class_Oone(_u1640))), _u1641)) )).
% 15.12/15.31 cnf(matrix-1009, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) != c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 = c_Groups_Ouminus__class_Ouminus(_u1642, c_Groups_Oone__class_Oone(_u1642))) )).
% 15.12/15.31 cnf(matrix-1010, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 != c_Groups_Oone__class_Oone(_u1642)) )).
% 15.12/15.31 cnf(matrix-1011, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u1642) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1642, _u1643), _u1643) = c_Groups_Oone__class_Oone(_u1642)) | ( _u1643 != c_Groups_Ouminus__class_Ouminus(_u1642, c_Groups_Oone__class_Oone(_u1642))) )).
% 15.12/15.31 cnf(matrix-1012, plain, ( ~class_Rings_Odivision__ring(_u1644) | ( _u1645 = c_Groups_Ozero__class_Ozero(_u1644)) | ( c_Rings_Oinverse__class_Odivide(_u1644, c_Groups_Ouminus__class_Ouminus(_u1644, _u1646), c_Groups_Ouminus__class_Ouminus(_u1644, _u1645)) = c_Rings_Oinverse__class_Odivide(_u1644, _u1646, _u1645)) )).
% 15.12/15.31 cnf(matrix-1013, plain, ( ~class_Rings_Odivision__ring(_u1647) | ( _u1648 = c_Groups_Ozero__class_Ozero(_u1647)) | ( c_Groups_Ouminus__class_Ouminus(_u1647, c_Rings_Oinverse__class_Odivide(_u1647, _u1649, _u1648)) = c_Rings_Oinverse__class_Odivide(_u1647, _u1649, c_Groups_Ouminus__class_Ouminus(_u1647, _u1648))) )).
% 15.12/15.31 cnf(matrix-1014, plain, ( ~class_Rings_Odivision__ring(_u1650) | ( _u1651 = c_Groups_Ozero__class_Ozero(_u1650)) | ( c_Rings_Oinverse__class_Oinverse(_u1650, c_Groups_Ouminus__class_Ouminus(_u1650, _u1651)) = c_Groups_Ouminus__class_Ouminus(_u1650, c_Rings_Oinverse__class_Oinverse(_u1650, _u1651))) )).
% 15.12/15.31 cnf(matrix-1015, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1652), _u1652)), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u1653), _u1653)) )).
% 15.12/15.31 cnf(matrix-1016, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1656, _u1658) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1658 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1656)) )).
% 15.12/15.31 cnf(matrix-1017, plain, ( ( _u1659 != c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1657)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1657, _u1659) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1018, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1662, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1664)) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u1662 = _u1664) )).
% 15.12/15.31 cnf(matrix-1019, plain, ( ( _u1663 != _u1665) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1663, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1665)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1020, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1666)) )).
% 15.12/15.31 cnf(matrix-1021, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1667), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1022, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1668)) )).
% 15.12/15.31 cnf(matrix-1023, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1669), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1024, plain, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1671) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( _u1671 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1025, plain, ( ( _u1672 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1672) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1026, plain, ( ~class_RealVector_Oreal__normed__field(_u1673) | ~class_SEQ_Obanach(_u1673) | ( hAPP(c_Transcendental_Oexp(_u1673), c_Groups_Ozero__class_Ozero(_u1673)) = c_Groups_Oone__class_Oone(_u1673)) )).
% 15.12/15.31 cnf(matrix-1027, plain, ( ~class_RealVector_Oreal__normed__field(_u1674) | ~class_SEQ_Obanach(_u1674) | ( hAPP(c_Transcendental_Oexp(_u1674), c_Groups_Oplus__class_Oplus(_u1674, _u1675, _u1676)) = hAPP(c_Groups_Otimes__class_Otimes(_u1674, hAPP(c_Transcendental_Oexp(_u1674), _u1675)), hAPP(c_Transcendental_Oexp(_u1674), _u1676))) )).
% 15.12/15.31 cnf(matrix-1028, plain, ( ~class_RealVector_Oreal__normed__field(_u1677) | ~class_SEQ_Obanach(_u1677) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1677, hAPP(c_Transcendental_Oexp(_u1677), _u1678)), hAPP(c_Transcendental_Oexp(_u1677), _u1679)) = hAPP(c_Transcendental_Oexp(_u1677), c_Groups_Oplus__class_Oplus(_u1677, _u1678, _u1679))) )).
% 15.12/15.31 cnf(matrix-1029, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1682, _u1684), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1684, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1682)) )).
% 15.12/15.31 cnf(matrix-1030, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1685, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1683)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1683, _u1685), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1031, 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, _u1688, _u1690)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1688), _u1690) )).
% 15.12/15.31 cnf(matrix-1032, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1689), _u1691) | 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, _u1689, _u1691)) )).
% 15.12/15.31 cnf(matrix-1033, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1694, _u1696), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1696, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1694)) )).
% 15.12/15.31 cnf(matrix-1034, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1697, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1695)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1695, _u1697), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1035, 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, _u1700, _u1702)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1700), _u1702) )).
% 15.12/15.31 cnf(matrix-1036, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u1701), _u1703) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1701, _u1703)) )).
% 15.12/15.31 cnf(matrix-1037, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1705), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1705, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1038, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u1706, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1706), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1039, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1708)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1708) )).
% 15.12/15.31 cnf(matrix-1040, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1709) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1709)) )).
% 15.12/15.31 cnf(matrix-1041, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1710) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1710)) )).
% 15.12/15.31 cnf(matrix-1042, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1712), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1712, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1043, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1713, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1713), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1044, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1715)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1715) )).
% 15.12/15.31 cnf(matrix-1045, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1716) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), _u1716)) )).
% 15.12/15.31 cnf(matrix-1046, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1717) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1717)) = _u1717) )).
% 15.12/15.31 cnf(matrix-1047, plain, ( ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1719)) != _u1719) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1719) )).
% 15.12/15.31 cnf(matrix-1048, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1720) | ( hAPP(c_Transcendental_Oexp(tc_RealDef_Oreal), hAPP(c_Transcendental_Oln, _u1720)) = _u1720) )).
% 15.12/15.31 cnf(matrix-1049, plain, ( ~class_RealVector_Oreal__normed__field(_u1721) | ~c_Deriv_Oderiv(_u1721, _u1722, _u1723, _u1724) | ~c_Deriv_Oderiv(_u1721, _u1722, _u1723, _u1725) | ( _u1724 = _u1725) )).
% 15.12/15.31 cnf(matrix-1050, plain, ( ~class_RealVector_Oreal__normed__field(_u1726) | ~c_Deriv_Oderiv(_u1726, _u1727, _u1728, _u1729) | ( _u1729 != _u1730) | c_Deriv_Oderiv(_u1726, _u1727, _u1728, _u1730) )).
% 15.12/15.31 cnf(matrix-1051, plain, ( ~class_RealVector_Oreal__normed__field(_u1731) | ~c_Deriv_Oderiv(_u1731, _u1732, _u1733, _u1734) | ( _u1734 != _u1735) | c_Deriv_Oderiv(_u1731, _u1732, _u1733, _u1735) )).
% 15.12/15.31 cnf(matrix-1052, plain, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 != c_Groups_Ozero__class_Ozero(_u1736)) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Ozero__class_Ozero(_u1736)) )).
% 15.12/15.31 cnf(matrix-1053, plain, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 = c_Groups_Ozero__class_Ozero(_u1736)) | ~c_Orderings_Oord__class_Oless(_u1736, c_Groups_Ozero__class_Ozero(_u1736), _u1737) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Oone__class_Oone(_u1736)) )).
% 15.12/15.31 cnf(matrix-1054, plain, ( ~class_Groups_Osgn__if(_u1736) | ( _u1737 = c_Groups_Ozero__class_Ozero(_u1736)) | c_Orderings_Oord__class_Oless(_u1736, c_Groups_Ozero__class_Ozero(_u1736), _u1737) | ( c_Groups_Osgn__class_Osgn(_u1736, _u1737) = c_Groups_Ouminus__class_Ouminus(_u1736, c_Groups_Oone__class_Oone(_u1736))) )).
% 15.12/15.31 cnf(matrix-1055, plain, ( ~class_Rings_Olinordered__idom(_u1738) | ~c_Orderings_Oord__class_Oless(_u1738, _u1739, c_Groups_Ozero__class_Ozero(_u1738)) | ( c_Groups_Osgn__class_Osgn(_u1738, _u1739) = c_Groups_Ouminus__class_Ouminus(_u1738, c_Groups_Oone__class_Oone(_u1738))) )).
% 15.12/15.31 cnf(matrix-1056, plain, ( ~class_Rings_Olinordered__idom(_u1740) | ( c_Groups_Osgn__class_Osgn(_u1740, _u1741) != c_Groups_Ouminus__class_Ouminus(_u1740, c_Groups_Oone__class_Oone(_u1740))) | c_Orderings_Oord__class_Oless(_u1740, _u1741, c_Groups_Ozero__class_Ozero(_u1740)) )).
% 15.12/15.31 cnf(matrix-1057, plain, ( ~class_Rings_Olinordered__idom(_u1740) | ~c_Orderings_Oord__class_Oless(_u1740, _u1741, c_Groups_Ozero__class_Ozero(_u1740)) | ( c_Groups_Osgn__class_Osgn(_u1740, _u1741) = c_Groups_Ouminus__class_Ouminus(_u1740, c_Groups_Oone__class_Oone(_u1740))) )).
% 15.12/15.31 cnf(matrix-1058, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1742) | ( hAPP(c_Transcendental_Oln, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u1742)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oln, _u1742))) )).
% 15.12/15.31 cnf(matrix-1059, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1743), _u1744), _u1745) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1746), _u1747), _u1748)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1746), _u1747), _u1748), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1745, _u1743) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1748) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1746) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1746, _u1743) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1747, _u1744) )).
% 15.12/15.31 cnf(matrix-1060, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1749), _u1750), _u1751), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1749), _u1752), _u1753)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1753, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1749, _u1753) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1749, _u1751) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1752, _u1750) )).
% 15.12/15.31 cnf(matrix-1061, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1754), _u1755), _u1756) != c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1757), _u1758), _u1759)) | ~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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1757), _u1758), _u1759)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1759, _u1757) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1756) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1757) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1757, _u1754) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1755, _u1758) )).
% 15.12/15.31 cnf(matrix-1062, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1760), _u1761), _u1762), c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1760), _u1763), _u1764)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1762) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1762, _u1760) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1764, _u1760) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1761, _u1763) )).
% 15.12/15.31 cnf(matrix-1063, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1765)) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1765))) )).
% 15.12/15.31 cnf(matrix-1064, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1065, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1766)) = _u1766) )).
% 15.12/15.31 cnf(matrix-1066, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1767)), _u1768) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1767), _u1768))) )).
% 15.12/15.31 cnf(matrix-1067, plain, ( ( _u1770 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1770) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1068, plain, ( ( _u1771 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1771) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1771) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1069, plain, ( ( _u1771 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1771) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u1771) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 15.12/15.31 cnf(matrix-1070, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1772), _u1772) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1071, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1773, _u1774)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1773), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1774))) )).
% 15.12/15.31 cnf(matrix-1072, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1073, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u1775) = _u1775) )).
% 15.12/15.31 cnf(matrix-1074, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1776) | ( _u1776 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1777, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1776), _u1778))) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1777) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1778, c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1075, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1779) | ( _u1779 != c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1780, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1779), _u1781))) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1780, _u1779) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1781) )).
% 15.12/15.31 cnf(matrix-1076, 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(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1782), _u1783), _u1784)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1784, _u1782) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1782) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1783) )).
% 15.12/15.31 cnf(matrix-1077, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1785), _u1786), _u1787), 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), _u1787) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1785) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1786, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1078, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1788) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1789) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1788), _u1789)) )).
% 15.12/15.31 cnf(matrix-1079, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1790) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u1791) | 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, _u1790, _u1791)) )).
% 15.12/15.31 cnf(matrix-1080, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1081, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1082, plain, ( ~class_Int_Onumber__ring(_u1792) | ( c_Int_Onumber__class_Onumber__of(_u1792, _u1793) != c_Int_Onumber__class_Onumber__of(_u1792, _u1794)) | c_Int_Oiszero(_u1792, c_Int_Onumber__class_Onumber__of(_u1792, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1793, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1794)))) )).
% 15.12/15.31 cnf(matrix-1083, plain, ( ~class_Int_Onumber__ring(_u1792) | ~c_Int_Oiszero(_u1792, c_Int_Onumber__class_Onumber__of(_u1792, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1793, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1794)))) | ( c_Int_Onumber__class_Onumber__of(_u1792, _u1793) = c_Int_Onumber__class_Onumber__of(_u1792, _u1794)) )).
% 15.12/15.31 cnf(matrix-1084, plain, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1797, _u1798, _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1799) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem7(_u1799, _u1798, _u1797)) )).
% 15.12/15.31 cnf(matrix-1085, plain, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1797, _u1798, _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1799) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1795) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1795, skolem7(_u1799, _u1798, _u1797)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(_u1797, _u1798), hAPP(_u1797, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1798, _u1795))) )).
% 15.12/15.31 cnf(matrix-1086, plain, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1802, _u1803, _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), skolem8(_u1804, _u1803, _u1802)) )).
% 15.12/15.31 cnf(matrix-1087, plain, ( ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u1802, _u1803, _u1804) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1804, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u1800) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u1800, skolem8(_u1804, _u1803, _u1802)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(_u1802, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u1803, _u1800)), hAPP(_u1802, _u1803)) )).
% 15.12/15.31 cnf(matrix-1088, plain, ( ~class_Rings_Osemiring__1(_u1805) | ~c_Int_Oiszero(_u1805, _u1806) | ( _u1806 = c_Groups_Ozero__class_Ozero(_u1805)) )).
% 15.12/15.31 cnf(matrix-1089, plain, ( ~class_Rings_Osemiring__1(_u1805) | ( _u1806 != c_Groups_Ozero__class_Ozero(_u1805)) | c_Int_Oiszero(_u1805, _u1806) )).
% 15.12/15.31 cnf(matrix-1090, plain, ( ~class_Rings_Osemiring__1(_u1807) | c_Int_Oiszero(_u1807, c_Groups_Ozero__class_Ozero(_u1807)) )).
% 15.12/15.31 cnf(matrix-1091, plain, ( ~class_Rings_Osemiring__1(_u1808) | ~c_Int_Oiszero(_u1808, c_Groups_Oone__class_Oone(_u1808)) )).
% 15.12/15.31 cnf(matrix-1092, plain, ( ~class_Int_Onumber__ring(_u1809) | ( c_Int_Onumber__class_Onumber__of(_u1809, _u1810) != c_Groups_Ozero__class_Ozero(_u1809)) | c_Int_Oiszero(_u1809, c_Int_Onumber__class_Onumber__of(_u1809, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1810, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1093, plain, ( ~class_Int_Onumber__ring(_u1809) | ~c_Int_Oiszero(_u1809, c_Int_Onumber__class_Onumber__of(_u1809, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1810, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls)))) | ( c_Int_Onumber__class_Onumber__of(_u1809, _u1810) = c_Groups_Ozero__class_Ozero(_u1809)) )).
% 15.12/15.31 cnf(matrix-1094, plain, ( ~class_Int_Onumber__ring(_u1811) | ( c_Groups_Ozero__class_Ozero(_u1811) != c_Int_Onumber__class_Onumber__of(_u1811, _u1812)) | c_Int_Oiszero(_u1811, c_Int_Onumber__class_Onumber__of(_u1811, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1812)))) )).
% 15.12/15.31 cnf(matrix-1095, plain, ( ~class_Int_Onumber__ring(_u1811) | ~c_Int_Oiszero(_u1811, c_Int_Onumber__class_Onumber__of(_u1811, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1812)))) | ( c_Groups_Ozero__class_Ozero(_u1811) = c_Int_Onumber__class_Onumber__of(_u1811, _u1812)) )).
% 15.12/15.31 cnf(matrix-1096, plain, ( ~class_Int_Onumber__ring(_u1813) | ( c_Int_Onumber__class_Onumber__of(_u1813, c_Int_Opred(_u1814)) = c_Groups_Oplus__class_Oplus(_u1813, c_Groups_Ouminus__class_Ouminus(_u1813, c_Groups_Oone__class_Oone(_u1813)), c_Int_Onumber__class_Onumber__of(_u1813, _u1814))) )).
% 15.12/15.31 cnf(matrix-1097, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1817), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1819)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1817, _u1819) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1819) )).
% 15.12/15.31 cnf(matrix-1098, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1817), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1819)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1817, _u1819) )).
% 15.12/15.31 cnf(matrix-1099, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1818), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1820)) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1818, _u1820) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1820) )).
% 15.12/15.31 cnf(matrix-1100, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1822)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1822) )).
% 15.12/15.31 cnf(matrix-1101, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1823) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1823)) )).
% 15.12/15.31 cnf(matrix-1102, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1825)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1825, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1103, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1826, c_Int_OPls) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1826)) )).
% 15.12/15.31 cnf(matrix-1104, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1828) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1828, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1105, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1829, c_Int_OPls) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1829) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1106, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1832), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1834)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1832, _u1834) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1832, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1107, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1833), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1835)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1833, _u1835) )).
% 15.12/15.31 cnf(matrix-1108, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1833), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1835)) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1833, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1109, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls) = c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1110, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1111, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1112, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1113, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1836, c_Int_OPls) = _u1836) )).
% 15.12/15.31 cnf(matrix-1114, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, _u1837) = _u1837) )).
% 15.12/15.31 cnf(matrix-1115, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1116, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OPls), _u1838) = c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1117, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1118, plain, ( ( c_Int_Osucc(c_Int_Opred(_u1839)) = _u1839) )).
% 15.12/15.31 cnf(matrix-1119, plain, ( ~class_Int_Onumber__ring(_u1840) | ( c_Groups_Ozero__class_Ozero(_u1840) = c_Int_Onumber__class_Onumber__of(_u1840, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1120, plain, ( ~class_Int_Onumber__ring(_u1841) | ( c_Int_Onumber__class_Onumber__of(_u1841, c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u1841)) )).
% 15.12/15.31 cnf(matrix-1121, plain, ( ~class_Int_Onumber__ring(_u1842) | ( c_Groups_Oplus__class_Oplus(_u1842, _u1843, c_Int_Onumber__class_Onumber__of(_u1842, c_Int_OPls)) = _u1843) )).
% 15.12/15.31 cnf(matrix-1122, plain, ( ~class_Int_Onumber__ring(_u1844) | ( c_Groups_Oplus__class_Oplus(_u1844, c_Int_Onumber__class_Onumber__of(_u1844, c_Int_OPls), _u1845) = _u1845) )).
% 15.12/15.31 cnf(matrix-1123, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1124, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1125, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1848, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1848), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1850)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1850)) )).
% 15.12/15.31 cnf(matrix-1126, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1849, c_Int_OPls) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1851, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1851)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849)) )).
% 15.12/15.31 cnf(matrix-1127, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1849, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1851, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1849), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1851)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1849, _u1851))) )).
% 15.12/15.31 cnf(matrix-1128, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1855, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1855)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1857)), _u1859)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1129, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1856, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1856)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1858)), _u1860)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1856), _u1858))), _u1860)) )).
% 15.12/15.31 cnf(matrix-1130, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1863, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1863)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1865)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1131, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1864, c_Int_OPls) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1864)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1866)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u1864), _u1866))) )).
% 15.12/15.31 cnf(matrix-1132, plain, ( ~class_Int_Onumber__ring(_u1867) | c_Int_Oiszero(_u1867, c_Int_Onumber__class_Onumber__of(_u1867, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1133, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1869, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1869)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1134, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1870, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1870)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_Osucc(_u1870))) )).
% 15.12/15.31 cnf(matrix-1135, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1872, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1872), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1136, plain, ( c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1873, c_Int_OPls) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u1873), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_Osucc(_u1873))) )).
% 15.12/15.31 cnf(matrix-1137, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1876, _u1878) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Opred(_u1876), _u1878) )).
% 15.12/15.31 cnf(matrix-1138, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_Opred(_u1877), _u1879) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1877, _u1879) )).
% 15.12/15.31 cnf(matrix-1139, plain, ( ~class_Fields_Ofield__inverse__zero(_u1880) | ~class_Int_Onumber__ring(_u1880) | ( c_Rings_Oinverse__class_Odivide(_u1880, _u1881, c_Int_Onumber__class_Onumber__of(_u1880, c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u1880)) )).
% 15.12/15.31 cnf(matrix-1140, plain, ( ~class_Int_Onumber__ring(_u1882) | ~class_Rings_Olinordered__idom(_u1882) | ~c_Orderings_Oord__class_Oless__eq(_u1882, c_Groups_Ozero__class_Ozero(_u1882), c_Int_Onumber__class_Onumber__of(_u1882, _u1883)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1883) )).
% 15.12/15.31 cnf(matrix-1141, plain, ( ~class_Int_Onumber__ring(_u1882) | ~class_Rings_Olinordered__idom(_u1882) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1883) | c_Orderings_Oord__class_Oless__eq(_u1882, c_Groups_Ozero__class_Ozero(_u1882), c_Int_Onumber__class_Onumber__of(_u1882, _u1883)) )).
% 15.12/15.31 cnf(matrix-1142, plain, ( ~class_Int_Onumber__ring(_u1884) | ~class_Rings_Olinordered__idom(_u1884) | ~c_Orderings_Oord__class_Oless__eq(_u1884, c_Int_Onumber__class_Onumber__of(_u1884, _u1885), c_Groups_Ozero__class_Ozero(_u1884)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1885, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1143, plain, ( ~class_Int_Onumber__ring(_u1884) | ~class_Rings_Olinordered__idom(_u1884) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1885, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(_u1884, c_Int_Onumber__class_Onumber__of(_u1884, _u1885), c_Groups_Ozero__class_Ozero(_u1884)) )).
% 15.12/15.31 cnf(matrix-1144, plain, ( ~class_Int_Onumber__ring(_u1886) | ~class_Rings_Olinordered__idom(_u1886) | ~c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), c_Int_Onumber__class_Onumber__of(_u1886, _u1887)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1887) )).
% 15.12/15.31 cnf(matrix-1145, plain, ( ~class_Int_Onumber__ring(_u1886) | ~class_Rings_Olinordered__idom(_u1886) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u1887) | c_Orderings_Oord__class_Oless(_u1886, c_Groups_Ozero__class_Ozero(_u1886), c_Int_Onumber__class_Onumber__of(_u1886, _u1887)) )).
% 15.12/15.31 cnf(matrix-1146, plain, ( ~class_Int_Onumber__ring(_u1888) | ~class_Rings_Olinordered__idom(_u1888) | ~c_Orderings_Oord__class_Oless(_u1888, c_Int_Onumber__class_Onumber__of(_u1888, _u1889), c_Groups_Ozero__class_Ozero(_u1888)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1889, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1147, plain, ( ~class_Int_Onumber__ring(_u1888) | ~class_Rings_Olinordered__idom(_u1888) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1889, c_Int_OPls) | c_Orderings_Oord__class_Oless(_u1888, c_Int_Onumber__class_Onumber__of(_u1888, _u1889), c_Groups_Ozero__class_Ozero(_u1888)) )).
% 15.12/15.31 cnf(matrix-1148, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1149, plain, ( ~class_Int_Onumber__ring(_u1890) | ( c_Int_Onumber__class_Onumber__of(_u1890, _u1891) != c_Groups_Oone__class_Oone(_u1890)) | c_Int_Oiszero(_u1890, c_Int_Onumber__class_Onumber__of(_u1890, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1891, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1150, plain, ( ~class_Int_Onumber__ring(_u1890) | ~c_Int_Oiszero(_u1890, c_Int_Onumber__class_Onumber__of(_u1890, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1891, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))))) | ( c_Int_Onumber__class_Onumber__of(_u1890, _u1891) = c_Groups_Oone__class_Oone(_u1890)) )).
% 15.12/15.31 cnf(matrix-1151, plain, ( ~class_Int_Onumber__ring(_u1892) | ( c_Groups_Oone__class_Oone(_u1892) != c_Int_Onumber__class_Onumber__of(_u1892, _u1893)) | c_Int_Oiszero(_u1892, c_Int_Onumber__class_Onumber__of(_u1892, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1893)))) )).
% 15.12/15.31 cnf(matrix-1152, plain, ( ~class_Int_Onumber__ring(_u1892) | ~c_Int_Oiszero(_u1892, c_Int_Onumber__class_Onumber__of(_u1892, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1893)))) | ( c_Groups_Oone__class_Oone(_u1892) = c_Int_Onumber__class_Onumber__of(_u1892, _u1893)) )).
% 15.12/15.31 cnf(matrix-1153, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1154, plain, ( ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1155, plain, ( ( c_Int_OPls != c_Int_OBit1(_u1894)) )).
% 15.12/15.31 cnf(matrix-1156, plain, ( ( c_Int_OBit1(_u1895) != c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1157, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1898), c_Int_OBit1(_u1900)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1898, _u1900) )).
% 15.12/15.31 cnf(matrix-1158, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1899, _u1901) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1899), c_Int_OBit1(_u1901)) )).
% 15.12/15.31 cnf(matrix-1159, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1904), c_Int_OBit1(_u1906)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1904, _u1906) )).
% 15.12/15.31 cnf(matrix-1160, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1905, _u1907) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1905), c_Int_OBit1(_u1907)) )).
% 15.12/15.31 cnf(matrix-1161, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1910), c_Int_OBit1(_u1912)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1910, _u1912) )).
% 15.12/15.31 cnf(matrix-1162, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1911, _u1913) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1911), c_Int_OBit1(_u1913)) )).
% 15.12/15.31 cnf(matrix-1163, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1916), c_Int_OBit1(_u1918)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1916, _u1918) )).
% 15.12/15.31 cnf(matrix-1164, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1917, _u1919) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1917), c_Int_OBit1(_u1919)) )).
% 15.12/15.31 cnf(matrix-1165, plain, ( ( c_Int_OBit1(_u1922) != c_Int_OBit1(_u1924)) | ( _u1922 = _u1924) )).
% 15.12/15.31 cnf(matrix-1166, plain, ( ( _u1923 != _u1925) | ( c_Int_OBit1(_u1923) = c_Int_OBit1(_u1925)) )).
% 15.12/15.31 cnf(matrix-1167, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1927)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1927) )).
% 15.12/15.31 cnf(matrix-1168, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1928) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1928)) )).
% 15.12/15.31 cnf(matrix-1169, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1930), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1930, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1170, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1931, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1931), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1171, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1933), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1933, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1172, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1934, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u1934), c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1173, plain, ( ( c_Int_OBit1(_u1935) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u1935), _u1935)) )).
% 15.12/15.31 cnf(matrix-1174, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit1(_u1936)) = c_Int_OBit1(c_Int_Opred(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u1936)))) )).
% 15.12/15.31 cnf(matrix-1175, plain, ( ~class_Int_Onumber__ring(_u1937) | ~class_Int_Oring__char__0(_u1937) | ~c_Int_Oiszero(_u1937, c_Int_Onumber__class_Onumber__of(_u1937, c_Int_OBit1(_u1938))) )).
% 15.12/15.31 cnf(matrix-1176, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1177, plain, ( ~class_Int_Onumber__ring(_u1939) | ( c_Int_Onumber__class_Onumber__of(_u1939, c_Int_OBit1(_u1940)) = c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Oplus__class_Oplus(_u1939, c_Groups_Oone__class_Oone(_u1939), c_Int_Onumber__class_Onumber__of(_u1939, _u1940)), c_Int_Onumber__class_Onumber__of(_u1939, _u1940))) )).
% 15.12/15.31 cnf(matrix-1178, plain, ( ~class_Int_Onumber__ring(_u1941) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1941, c_Int_Onumber__class_Onumber__of(_u1941, c_Int_OBit1(c_Int_OPls))), _u1942) = _u1942) )).
% 15.12/15.31 cnf(matrix-1179, plain, ( ~class_Int_Onumber__ring(_u1943) | ( hAPP(c_Groups_Otimes__class_Otimes(_u1943, _u1944), c_Int_Onumber__class_Onumber__of(_u1943, c_Int_OBit1(c_Int_OPls))) = _u1944) )).
% 15.12/15.31 cnf(matrix-1180, plain, ( ~class_Int_Onumber__ring(_u1945) | ( c_Int_Onumber__class_Onumber__of(_u1945, c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u1945)) )).
% 15.12/15.31 cnf(matrix-1181, plain, ( ~class_Int_Onumber__ring(_u1946) | ( c_Groups_Oone__class_Oone(_u1946) = c_Int_Onumber__class_Onumber__of(_u1946, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1182, plain, ( ~class_Fields_Ofield(_u1947) | ~class_Int_Onumber__ring(_u1947) | ( c_Rings_Oinverse__class_Odivide(_u1947, _u1948, c_Int_Onumber__class_Onumber__of(_u1947, c_Int_OBit1(c_Int_OPls))) = _u1948) )).
% 15.12/15.31 cnf(matrix-1183, plain, ( ~class_Fields_Ofield(_u1949) | ~class_Int_Onumber__ring(_u1949) | ( c_Rings_Oinverse__class_Odivide(_u1949, _u1950, c_Int_Onumber__class_Onumber__of(_u1949, c_Int_OBit1(c_Int_OPls))) = _u1950) )).
% 15.12/15.31 cnf(matrix-1184, plain, ( ~class_Fields_Ofield(_u1951) | ~class_Int_Onumber__ring(_u1951) | ( c_Rings_Oinverse__class_Oinverse(_u1951, c_Int_Onumber__class_Onumber__of(_u1951, c_Int_OBit1(c_Int_OPls))) = c_Int_Onumber__class_Onumber__of(_u1951, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1185, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1953), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1953, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1186, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1954, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u1954), c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1187, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1956)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1956) )).
% 15.12/15.31 cnf(matrix-1188, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u1957) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit1(_u1957)) )).
% 15.12/15.31 cnf(matrix-1189, plain, ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1190, plain, ( ~class_Int_Onumber__ring(_u1958) | ~c_Int_Oiszero(_u1958, c_Int_Onumber__class_Onumber__of(_u1958, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1191, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1192, plain, ( ~class_Int_Onumber__ring(_u1959) | ~class_Rings_Olinordered__idom(_u1959) | ~c_Orderings_Oord__class_Oless__eq(_u1959, c_Groups_Oone__class_Oone(_u1959), c_Int_Onumber__class_Onumber__of(_u1959, _u1960)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1960) )).
% 15.12/15.31 cnf(matrix-1193, plain, ( ~class_Int_Onumber__ring(_u1959) | ~class_Rings_Olinordered__idom(_u1959) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1960) | c_Orderings_Oord__class_Oless__eq(_u1959, c_Groups_Oone__class_Oone(_u1959), c_Int_Onumber__class_Onumber__of(_u1959, _u1960)) )).
% 15.12/15.31 cnf(matrix-1194, plain, ( ~class_Int_Onumber__ring(_u1961) | ~class_Rings_Olinordered__idom(_u1961) | ~c_Orderings_Oord__class_Oless__eq(_u1961, c_Int_Onumber__class_Onumber__of(_u1961, _u1962), c_Groups_Oone__class_Oone(_u1961)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1962, c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1195, plain, ( ~class_Int_Onumber__ring(_u1961) | ~class_Rings_Olinordered__idom(_u1961) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u1962, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless__eq(_u1961, c_Int_Onumber__class_Onumber__of(_u1961, _u1962), c_Groups_Oone__class_Oone(_u1961)) )).
% 15.12/15.31 cnf(matrix-1196, plain, ( ~class_Int_Onumber__ring(_u1963) | ~class_Rings_Olinordered__idom(_u1963) | ~c_Orderings_Oord__class_Oless(_u1963, c_Groups_Oone__class_Oone(_u1963), c_Int_Onumber__class_Onumber__of(_u1963, _u1964)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1964) )).
% 15.12/15.31 cnf(matrix-1197, plain, ( ~class_Int_Onumber__ring(_u1963) | ~class_Rings_Olinordered__idom(_u1963) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1964) | c_Orderings_Oord__class_Oless(_u1963, c_Groups_Oone__class_Oone(_u1963), c_Int_Onumber__class_Onumber__of(_u1963, _u1964)) )).
% 15.12/15.31 cnf(matrix-1198, plain, ( ~class_Int_Onumber__ring(_u1965) | ~class_Rings_Olinordered__idom(_u1965) | ~c_Orderings_Oord__class_Oless(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Oone__class_Oone(_u1965)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1966, c_Int_OBit1(c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1199, plain, ( ~class_Int_Onumber__ring(_u1965) | ~class_Rings_Olinordered__idom(_u1965) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u1966, c_Int_OBit1(c_Int_OPls)) | c_Orderings_Oord__class_Oless(_u1965, c_Int_Onumber__class_Onumber__of(_u1965, _u1966), c_Groups_Oone__class_Oone(_u1965)) )).
% 15.12/15.31 cnf(matrix-1200, plain, ( ~class_Int_Onumber__ring(_u1967) | ( c_Groups_Oplus__class_Oplus(_u1967, c_Int_Onumber__class_Onumber__of(_u1967, _u1968), c_Groups_Oone__class_Oone(_u1967)) = c_Int_Onumber__class_Onumber__of(_u1967, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u1968, c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1201, plain, ( ~class_Int_Onumber__ring(_u1969) | ( c_Groups_Oplus__class_Oplus(_u1969, c_Groups_Oone__class_Oone(_u1969), c_Int_Onumber__class_Onumber__of(_u1969, _u1970)) = c_Int_Onumber__class_Onumber__of(_u1969, c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(c_Int_OPls), _u1970))) )).
% 15.12/15.31 cnf(matrix-1202, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1971) )).
% 15.12/15.31 cnf(matrix-1203, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1972, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1204, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1976), _u1978), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1976), _u1980)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1976) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1978, _u1980) )).
% 15.12/15.31 cnf(matrix-1205, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1979), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1981)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u1977) )).
% 15.12/15.31 cnf(matrix-1206, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1979), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u1977), _u1981)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u1979, _u1981) )).
% 15.12/15.31 cnf(matrix-1207, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1982, _u1982) )).
% 15.12/15.31 cnf(matrix-1208, plain, ( ( _u1985 = _u1987) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1985, _u1987) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1987, _u1985) )).
% 15.12/15.31 cnf(matrix-1209, plain, ( ( _u1986 != _u1988) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1986, _u1988) )).
% 15.12/15.31 cnf(matrix-1210, plain, ( ( _u1986 != _u1988) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1988, _u1986) )).
% 15.12/15.31 cnf(matrix-1211, plain, ( ( _u1989 = _u1990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1989, _u1990) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1990, _u1989) )).
% 15.12/15.31 cnf(matrix-1212, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1991, _u1991) )).
% 15.12/15.31 cnf(matrix-1213, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1992, _u1993) | ( _u1993 != _u1992) )).
% 15.12/15.31 cnf(matrix-1214, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1994, _u1995) | ( _u1994 != _u1995) )).
% 15.12/15.31 cnf(matrix-1215, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1996, _u1997) | ( _u1996 = _u1997) | hBOOL(hAPP(hAPP(_u1998, _u1997), _u1996)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u1997, _u1996) )).
% 15.12/15.31 cnf(matrix-1216, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u1999, _u2000) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2000, _u1999)) )).
% 15.12/15.31 cnf(matrix-1217, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2001, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2002, _u2003)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2002, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2001, _u2003))) )).
% 15.12/15.31 cnf(matrix-1218, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2004, _u2005), _u2006) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2004, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2005, _u2006))) )).
% 15.12/15.31 cnf(matrix-1219, plain, ( ( _u2012 = _u2014) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2010, _u2012) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2010, _u2014)) )).
% 15.12/15.31 cnf(matrix-1220, plain, ( ( _u2013 != _u2015) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2011, _u2013) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2011, _u2015)) )).
% 15.12/15.31 cnf(matrix-1221, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2019, _u2021) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2023, _u2021)) | ( _u2019 = _u2023) )).
% 15.12/15.31 cnf(matrix-1222, plain, ( ( _u2020 != _u2024) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2020, _u2022) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2024, _u2022)) )).
% 15.12/15.31 cnf(matrix-1223, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2025, _u2026) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2026, _u2025) | ( _u2025 = _u2026) )).
% 15.12/15.31 cnf(matrix-1224, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2027, _u2028) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2028, _u2029) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2027, _u2029) )).
% 15.12/15.31 cnf(matrix-1225, plain, ( ( _u2030 != _u2031) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2030, _u2031) )).
% 15.12/15.31 cnf(matrix-1226, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2032, _u2033) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2033, _u2032) )).
% 15.12/15.31 cnf(matrix-1227, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2034, _u2034) )).
% 15.12/15.31 cnf(matrix-1228, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2035), _u2036)), _u2037) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2035), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2036), _u2037))) )).
% 15.12/15.31 cnf(matrix-1229, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2038), _u2039) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2039), _u2038)) )).
% 15.12/15.31 cnf(matrix-1230, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2040, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1231, plain, ( ( _u2042 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2042) )).
% 15.12/15.31 cnf(matrix-1232, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2043) | ( _u2043 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1233, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2044, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1234, plain, ( ( _u2046 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2045, _u2046) )).
% 15.12/15.31 cnf(matrix-1235, plain, ( ( _u2047 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2047) )).
% 15.12/15.31 cnf(matrix-1236, plain, ( ( _u2049 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2048, _u2049) != _u2048) )).
% 15.12/15.31 cnf(matrix-1237, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, _u2054) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2052 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1238, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2052, _u2054) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2054 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1239, plain, ( ( _u2053 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2055 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2053, _u2055) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1240, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2056, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u2056) )).
% 15.12/15.31 cnf(matrix-1241, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2057) = _u2057) )).
% 15.12/15.31 cnf(matrix-1242, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2058) )).
% 15.12/15.31 cnf(matrix-1243, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2060, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2060 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1244, plain, ( ( _u2061 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2061, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1245, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2065), _u2067) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2069), _u2067)) | ( _u2065 = _u2069) | ( _u2067 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1246, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2066), _u2068) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2070), _u2068)) | ( _u2066 != _u2070) )).
% 15.12/15.31 cnf(matrix-1247, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2066), _u2068) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2070), _u2068)) | ( _u2068 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1248, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2074), _u2076) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2074), _u2078)) | ( _u2076 = _u2078) | ( _u2074 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1249, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2077) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2079)) | ( _u2077 != _u2079) )).
% 15.12/15.31 cnf(matrix-1250, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2077) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2075), _u2079)) | ( _u2075 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1251, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2082), _u2084) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2082 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2084 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1252, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2083), _u2085) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2083 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1253, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2083), _u2085) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2085 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1254, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2086), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1255, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2087) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1256, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2088, _u2089), _u2090) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2088, _u2090) )).
% 15.12/15.31 cnf(matrix-1257, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2091, _u2092) | ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2093, _u2092) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2091, _u2094)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2093, _u2094) )).
% 15.12/15.31 cnf(matrix-1258, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2095, _u2096) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2097, _u2098) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2095, _u2097), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2096, _u2098)) )).
% 15.12/15.31 cnf(matrix-1259, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2099, _u2100) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2099, _u2101), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2100, _u2101)) )).
% 15.12/15.31 cnf(matrix-1260, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2102, _u2103) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2102, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2104, _u2103)) )).
% 15.12/15.31 cnf(matrix-1261, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2105, _u2106) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2105, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2106, _u2107)) )).
% 15.12/15.31 cnf(matrix-1262, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2113, _u2115) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2111, _u2113), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2111, _u2115)) )).
% 15.12/15.31 cnf(matrix-1263, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2114, _u2116) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2112, _u2114), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2112, _u2116)) )).
% 15.12/15.31 cnf(matrix-1264, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2117, _u2118), _u2118) )).
% 15.12/15.31 cnf(matrix-1265, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2119, _u2120), _u2119) )).
% 15.12/15.31 cnf(matrix-1266, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2121, _u2122) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2121, _u2122) )).
% 15.12/15.31 cnf(matrix-1267, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2121, _u2122) | ( _u2121 != _u2122) )).
% 15.12/15.31 cnf(matrix-1268, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2123, _u2124) | ( _u2123 = _u2124) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2123, _u2124) )).
% 15.12/15.31 cnf(matrix-1269, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2125, _u2126) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2125, _u2126) )).
% 15.12/15.31 cnf(matrix-1270, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2129, _u2131) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2129, _u2131) | ( _u2129 = _u2131) )).
% 15.12/15.31 cnf(matrix-1271, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2130, _u2132) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2130, _u2132) )).
% 15.12/15.31 cnf(matrix-1272, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2130, _u2132) | ( _u2130 != _u2132) )).
% 15.12/15.31 cnf(matrix-1273, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2135, _u2137) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2135, _u2137) )).
% 15.12/15.31 cnf(matrix-1274, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2135, _u2137) | ( _u2135 != _u2137) )).
% 15.12/15.31 cnf(matrix-1275, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2136, _u2138) | ( _u2136 = _u2138) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2136, _u2138) )).
% 15.12/15.31 cnf(matrix-1276, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2139, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2140, _u2139)) )).
% 15.12/15.31 cnf(matrix-1277, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2141, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2141, _u2142)) )).
% 15.12/15.31 cnf(matrix-1278, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2147, _u2149) | ( _u2149 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2147, skolem9(_u2149, _u2147))) )).
% 15.12/15.31 cnf(matrix-1279, plain, ( ( _u2150 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2148, _u2144)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2148, _u2150) )).
% 15.12/15.31 cnf(matrix-1280, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2156, _u2158) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2154, _u2156), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2154, _u2158)) )).
% 15.12/15.31 cnf(matrix-1281, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2157, _u2159) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2155, _u2157), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2155, _u2159)) )).
% 15.12/15.31 cnf(matrix-1282, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2160, _u2161) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2160, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2161, _u2162)) )).
% 15.12/15.31 cnf(matrix-1283, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2163, _u2164) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2163, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2165, _u2164)) )).
% 15.12/15.31 cnf(matrix-1284, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2166, _u2167) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2166, _u2168), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2167, _u2168)) )).
% 15.12/15.31 cnf(matrix-1285, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2169, _u2170) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2171, _u2172) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2169, _u2171), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2170, _u2172)) )).
% 15.12/15.31 cnf(matrix-1286, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2174, _u2175) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2173, _u2174), _u2175) )).
% 15.12/15.31 cnf(matrix-1287, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2176, _u2177), _u2178) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2176, _u2178) )).
% 15.12/15.31 cnf(matrix-1288, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2179, _u2180), _u2181) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2179, _u2181) )).
% 15.12/15.31 cnf(matrix-1289, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2179, _u2180), _u2181) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2180, _u2181) )).
% 15.12/15.31 cnf(matrix-1290, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2182, _u2183)), _u2184) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2182), _u2184), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2183), _u2184))) )).
% 15.12/15.31 cnf(matrix-1291, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2186, _u2187)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), _u2186), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2185), _u2187))) )).
% 15.12/15.31 cnf(matrix-1292, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2188, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2188), _u2188)) )).
% 15.12/15.31 cnf(matrix-1293, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2189, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2189), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2189), _u2189))) )).
% 15.12/15.31 cnf(matrix-1294, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2190, _u2191) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2190), _u2192), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2191), _u2192)) )).
% 15.12/15.31 cnf(matrix-1295, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2193, _u2194) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2195), _u2193), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2195), _u2194)) )).
% 15.12/15.31 cnf(matrix-1296, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2196, _u2197) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2198, _u2199) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2196), _u2198), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2197), _u2199)) )).
% 15.12/15.31 cnf(matrix-1297, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2202), _u2204) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2202 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1298, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2202), _u2204) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2204 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1299, plain, ( ( _u2203 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2205 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2203), _u2205) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1300, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2206), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2206) )).
% 15.12/15.31 cnf(matrix-1301, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209), _u2211)) | ( _u2209 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1302, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2209), _u2211)) | ( _u2211 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1303, plain, ( ( _u2210 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2212 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2210), _u2212)) )).
% 15.12/15.31 cnf(matrix-1304, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u2213) = _u2213) )).
% 15.12/15.31 cnf(matrix-1305, 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, _u2216, _u2218)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2216) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2218) )).
% 15.12/15.31 cnf(matrix-1306, 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, _u2217, _u2219)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2217) )).
% 15.12/15.31 cnf(matrix-1307, 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, _u2217, _u2219)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2219) )).
% 15.12/15.31 cnf(matrix-1308, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2222), _u2224)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2222) )).
% 15.12/15.31 cnf(matrix-1309, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2222), _u2224)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2224) )).
% 15.12/15.31 cnf(matrix-1310, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2223) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2225) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2223), _u2225)) )).
% 15.12/15.31 cnf(matrix-1311, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2231), 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) )).
% 15.12/15.31 cnf(matrix-1312, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2231), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2229), _u2233)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2231, _u2233) )).
% 15.12/15.31 cnf(matrix-1313, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2230) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2232, _u2234) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2230), _u2232), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2230), _u2234)) )).
% 15.12/15.31 cnf(matrix-1314, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2238), _u2240), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2242), _u2240)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2240) )).
% 15.12/15.31 cnf(matrix-1315, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2238), _u2240), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2242), _u2240)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2238, _u2242) )).
% 15.12/15.31 cnf(matrix-1316, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2241) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2239, _u2243) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2239), _u2241), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2243), _u2241)) )).
% 15.12/15.31 cnf(matrix-1317, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2244, _u2245) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2246) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2244), _u2246), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2245), _u2246)) )).
% 15.12/15.31 cnf(matrix-1318, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2247, _u2248) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2249) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2249), _u2247), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2249), _u2248)) )).
% 15.12/15.31 cnf(matrix-1319, plain, ( ( _u2250 != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2250), _u2251)) | ( _u2251 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1320, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2255), _u2257), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2259), _u2257)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2257) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2255, _u2259) )).
% 15.12/15.31 cnf(matrix-1321, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2256), _u2258), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2260), _u2258)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2258) )).
% 15.12/15.31 cnf(matrix-1322, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2256), _u2258), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2260), _u2258)) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2256, _u2260) )).
% 15.12/15.31 cnf(matrix-1323, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2262), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2263)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2262, _u2263) )).
% 15.12/15.31 cnf(matrix-1324, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2261) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2262, _u2263) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2262), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2261), _u2263)) )).
% 15.12/15.31 cnf(matrix-1325, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2264) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2265) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2266)) | ( _u2265 = _u2266) )).
% 15.12/15.31 cnf(matrix-1326, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2264) | ( _u2265 != _u2266) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2265) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2264), _u2266)) )).
% 15.12/15.31 cnf(matrix-1327, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2268), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2269)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2268, _u2269) )).
% 15.12/15.31 cnf(matrix-1328, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2267) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2268, _u2269) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2268), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2267), _u2269)) )).
% 15.12/15.31 cnf(matrix-1329, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2273), _u2275) != hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2273), _u2277)) | ( _u2273 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2275 = _u2277) )).
% 15.12/15.31 cnf(matrix-1330, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2276) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2278)) | ( _u2274 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1331, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2276) = hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2274), _u2278)) | ( _u2276 != _u2278) )).
% 15.12/15.31 cnf(matrix-1332, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2279), _u2280), c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2281), _u2280), _u2282)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2279, _u2281)), _u2280), _u2282)) )).
% 15.12/15.31 cnf(matrix-1333, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2283, _u2284) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2283, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2285, _u2284)) )).
% 15.12/15.31 cnf(matrix-1334, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2286, _u2287) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2286, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2287, _u2288)) )).
% 15.12/15.31 cnf(matrix-1335, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2289, _u2290) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2289, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2291, _u2290)) )).
% 15.12/15.31 cnf(matrix-1336, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2292, _u2293) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2292, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2293, _u2294)) )).
% 15.12/15.31 cnf(matrix-1337, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2295, _u2296) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2295, _u2296) )).
% 15.12/15.31 cnf(matrix-1338, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2301, _u2303) | ( _u2303 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2301, skolem10(_u2303, _u2301))) )).
% 15.12/15.31 cnf(matrix-1339, plain, ( ( _u2304 != c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2302, _u2298)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2302, _u2304) )).
% 15.12/15.31 cnf(matrix-1340, plain, ( ( c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OBit1(c_Int_OPls))) )).
% 15.12/15.31 cnf(matrix-1341, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OPls)) )).
% 15.12/15.31 cnf(matrix-1342, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2305) | ~class_Int_Onumber__ring(_u2305) | c_Orderings_Oord__class_Oless(_u2305, c_Groups_Ozero__class_Ozero(_u2305), c_Rings_Oinverse__class_Odivide(_u2305, c_Groups_Oone__class_Oone(_u2305), c_Int_Onumber__class_Onumber__of(_u2305, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1343, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2308) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2310) | ~hBOOL(hAPP(_u2309, _u2307)) | hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2307, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2310), _u2308)))) | hBOOL(hAPP(_u2309, skolem11(_u2310, _u2309, _u2308))) )).
% 15.12/15.31 cnf(matrix-1344, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2308) | ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2310) | ~hBOOL(hAPP(_u2309, _u2307)) | hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2307, hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2310), _u2308)))) | ~hBOOL(hAPP(_u2309, c_Groups_Oplus__class_Oplus(tc_Int_Oint, skolem11(_u2310, _u2309, _u2308), _u2308))) )).
% 15.12/15.31 cnf(matrix-1345, plain, ( ~class_Int_Onumber__ring(_u2311) | ~class_Int_Oring__char__0(_u2311) | ~c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, c_Int_OBit0(_u2312))) | c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, _u2312)) )).
% 15.12/15.31 cnf(matrix-1346, plain, ( ~class_Int_Onumber__ring(_u2311) | ~class_Int_Oring__char__0(_u2311) | ~c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, _u2312)) | c_Int_Oiszero(_u2311, c_Int_Onumber__class_Onumber__of(_u2311, c_Int_OBit0(_u2312))) )).
% 15.12/15.31 cnf(matrix-1347, plain, ( ( c_Int_Opred(c_Int_OBit1(_u2313)) = c_Int_OBit0(_u2313)) )).
% 15.12/15.31 cnf(matrix-1348, plain, ( ( c_Int_Opred(c_Int_OBit0(_u2314)) = c_Int_OBit1(c_Int_Opred(_u2314))) )).
% 15.12/15.31 cnf(matrix-1349, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u2315)) = c_Int_OBit1(_u2315)) )).
% 15.12/15.31 cnf(matrix-1350, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u2316)) = c_Int_OBit0(c_Int_Osucc(_u2316))) )).
% 15.12/15.31 cnf(matrix-1351, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2319), c_Int_OBit0(_u2321)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2319, _u2321) )).
% 15.12/15.31 cnf(matrix-1352, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2320, _u2322) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2320), c_Int_OBit0(_u2322)) )).
% 15.12/15.31 cnf(matrix-1353, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2325), c_Int_OBit0(_u2327)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2325, _u2327) )).
% 15.12/15.31 cnf(matrix-1354, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2326, _u2328) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2326), c_Int_OBit0(_u2328)) )).
% 15.12/15.31 cnf(matrix-1355, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit0(_u2329)), _u2330) = c_Int_OBit0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2329), _u2330))) )).
% 15.12/15.31 cnf(matrix-1356, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2333), c_Int_OBit0(_u2335)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2333, _u2335) )).
% 15.12/15.31 cnf(matrix-1357, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2334, _u2336) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2334), c_Int_OBit0(_u2336)) )).
% 15.12/15.31 cnf(matrix-1358, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2339), c_Int_OBit0(_u2341)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2339, _u2341) )).
% 15.12/15.31 cnf(matrix-1359, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2340, _u2342) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2340), c_Int_OBit0(_u2342)) )).
% 15.12/15.31 cnf(matrix-1360, plain, ( ( c_Int_OBit0(_u2343) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2343, _u2343)) )).
% 15.12/15.31 cnf(matrix-1361, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u2344), c_Int_OBit0(_u2345)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2344, _u2345))) )).
% 15.12/15.31 cnf(matrix-1362, plain, ( ( c_Int_OBit1(_u2346) != c_Int_OBit0(_u2347)) )).
% 15.12/15.31 cnf(matrix-1363, plain, ( ( c_Int_OBit0(_u2348) != c_Int_OBit1(_u2349)) )).
% 15.12/15.31 cnf(matrix-1364, plain, ( ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OBit0(_u2350)) = c_Int_OBit0(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, _u2350))) )).
% 15.12/15.31 cnf(matrix-1365, plain, ( ( c_Int_OBit0(_u2353) != c_Int_OBit0(_u2355)) | ( _u2353 = _u2355) )).
% 15.12/15.31 cnf(matrix-1366, plain, ( ( _u2354 != _u2356) | ( c_Int_OBit0(_u2354) = c_Int_OBit0(_u2356)) )).
% 15.12/15.31 cnf(matrix-1367, plain, ( ( c_Int_OBit0(_u2358) != c_Int_OPls) | ( _u2358 = c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1368, plain, ( ( _u2359 != c_Int_OPls) | ( c_Int_OBit0(_u2359) = c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1369, plain, ( ( c_Int_OPls != c_Int_OBit0(_u2361)) | ( c_Int_OPls = _u2361) )).
% 15.12/15.31 cnf(matrix-1370, plain, ( ( c_Int_OPls != _u2362) | ( c_Int_OPls = c_Int_OBit0(_u2362)) )).
% 15.12/15.31 cnf(matrix-1371, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1372, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(_u2363), c_Int_OBit1(_u2364)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2363, _u2364))) )).
% 15.12/15.31 cnf(matrix-1373, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u2365), c_Int_OBit0(_u2366)) = c_Int_OBit1(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2365, _u2366))) )).
% 15.12/15.31 cnf(matrix-1374, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2368)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u2368) )).
% 15.12/15.31 cnf(matrix-1375, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, _u2369) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2369)) )).
% 15.12/15.31 cnf(matrix-1376, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2371), c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2371, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1377, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2372, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2372), c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1378, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2374), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2374, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1379, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2375, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2375), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1380, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2378), c_Int_OBit0(_u2380)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2378, _u2380) )).
% 15.12/15.31 cnf(matrix-1381, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2379, _u2381) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2379), c_Int_OBit0(_u2381)) )).
% 15.12/15.31 cnf(matrix-1382, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2384), c_Int_OBit0(_u2386)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2384, _u2386) )).
% 15.12/15.31 cnf(matrix-1383, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2385, _u2387) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit1(_u2385), c_Int_OBit0(_u2387)) )).
% 15.12/15.31 cnf(matrix-1384, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2389), c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2389, c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1385, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2390, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2390), c_Int_OPls) )).
% 15.12/15.31 cnf(matrix-1386, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2392)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2392) )).
% 15.12/15.31 cnf(matrix-1387, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, _u2393) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OBit0(_u2393)) )).
% 15.12/15.31 cnf(matrix-1388, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2396), c_Int_OBit1(_u2398)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2396, _u2398) )).
% 15.12/15.31 cnf(matrix-1389, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2397, _u2399) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2397), c_Int_OBit1(_u2399)) )).
% 15.12/15.31 cnf(matrix-1390, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2402), c_Int_OBit1(_u2404)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2402, _u2404) )).
% 15.12/15.31 cnf(matrix-1391, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2403, _u2405) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit0(_u2403), c_Int_OBit1(_u2405)) )).
% 15.12/15.31 cnf(matrix-1392, plain, ( ~class_Int_Onumber__ring(_u2406) | ( c_Int_Onumber__class_Onumber__of(_u2406, c_Int_OBit0(_u2407)) = c_Groups_Oplus__class_Oplus(_u2406, c_Groups_Oplus__class_Oplus(_u2406, c_Groups_Ozero__class_Ozero(_u2406), c_Int_Onumber__class_Onumber__of(_u2406, _u2407)), c_Int_Onumber__class_Onumber__of(_u2406, _u2407))) )).
% 15.12/15.31 cnf(matrix-1393, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2410), c_Int_OBit1(_u2412)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2410, _u2412) )).
% 15.12/15.31 cnf(matrix-1394, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2411, _u2413) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2411), c_Int_OBit1(_u2413)) )).
% 15.12/15.31 cnf(matrix-1395, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2416), c_Int_OBit1(_u2418)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2416, _u2418) )).
% 15.12/15.31 cnf(matrix-1396, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, _u2417, _u2419) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OBit0(_u2417), c_Int_OBit1(_u2419)) )).
% 15.12/15.31 cnf(matrix-1397, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2422), c_Int_OBit0(_u2424)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2422, _u2424) )).
% 15.12/15.31 cnf(matrix-1398, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2423, _u2425) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2423), c_Int_OBit0(_u2425)) )).
% 15.12/15.31 cnf(matrix-1399, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2428), c_Int_OBit0(_u2430)) | c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2428, _u2430) )).
% 15.12/15.31 cnf(matrix-1400, plain, ( ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2429, _u2431) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OBit1(_u2429), c_Int_OBit0(_u2431)) )).
% 15.12/15.31 cnf(matrix-1401, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Int_OBit1(_u2432)), _u2433) = c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit0(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, _u2432), _u2433)), _u2433)) )).
% 15.12/15.31 cnf(matrix-1402, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OBit1(_u2434), c_Int_OBit1(_u2435)) = c_Int_OBit0(c_Groups_Oplus__class_Oplus(tc_Int_Oint, _u2434, c_Int_Osucc(_u2435)))) )).
% 15.12/15.31 cnf(matrix-1403, plain, ( ~class_Int_Onumber__ring(_u2436) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2436, c_Groups_Oplus__class_Oplus(_u2436, c_Groups_Oone__class_Oone(_u2436), c_Groups_Oone__class_Oone(_u2436))), c_Int_Onumber__class_Onumber__of(_u2436, _u2437)) = c_Int_Onumber__class_Onumber__of(_u2436, c_Int_OBit0(_u2437))) )).
% 15.12/15.31 cnf(matrix-1404, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2438)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(_u2438))) )).
% 15.12/15.31 cnf(matrix-1405, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, _u2438)) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit1(_u2438))) )).
% 15.12/15.31 cnf(matrix-1406, plain, ( ( _u2442 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2444, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2446))) | ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2442) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2444, _u2446)) )).
% 15.12/15.31 cnf(matrix-1407, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2443) != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2445, _u2447)) | ( _u2443 = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2445, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2447))) )).
% 15.12/15.31 cnf(matrix-1408, plain, ( ~class_Int_Onumber__ring(_u2448) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2448, _u2449), c_Int_Onumber__class_Onumber__of(_u2448, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u2448, _u2449, _u2449)) )).
% 15.12/15.31 cnf(matrix-1409, plain, ( ~class_Int_Onumber__ring(_u2450) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2450, c_Int_Onumber__class_Onumber__of(_u2450, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2451) = c_Groups_Oplus__class_Oplus(_u2450, _u2451, _u2451)) )).
% 15.12/15.31 cnf(matrix-1410, plain, ( ~class_Int_Onumber__ring(_u2452) | ( c_Groups_Oplus__class_Oplus(_u2452, c_Groups_Oone__class_Oone(_u2452), c_Groups_Oone__class_Oone(_u2452)) = c_Int_Onumber__class_Onumber__of(_u2452, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1411, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1412, plain, ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1413, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2453), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2453, _u2453)) )).
% 15.12/15.31 cnf(matrix-1414, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2454) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2454, _u2454)) )).
% 15.12/15.31 cnf(matrix-1415, plain, ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 15.12/15.31 cnf(matrix-1416, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2455, _u2456) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2455, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2455, _u2456), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1417, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2457, _u2458) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2457, _u2458), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2458) )).
% 15.12/15.31 cnf(matrix-1418, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2459) | ~class_Int_Onumber__ring(_u2459) | ~c_Orderings_Oord__class_Oless(_u2459, c_Groups_Ozero__class_Ozero(_u2459), _u2460) | c_Orderings_Oord__class_Oless(_u2459, c_Groups_Ozero__class_Ozero(_u2459), c_Rings_Oinverse__class_Odivide(_u2459, _u2460, c_Int_Onumber__class_Onumber__of(_u2459, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1419, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2461) | ~class_Int_Onumber__ring(_u2461) | ~c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), c_Rings_Oinverse__class_Odivide(_u2461, _u2462, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), _u2462) )).
% 15.12/15.31 cnf(matrix-1420, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2461) | ~class_Int_Onumber__ring(_u2461) | ~c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), _u2462) | c_Orderings_Oord__class_Oless(_u2461, c_Groups_Ozero__class_Ozero(_u2461), c_Rings_Oinverse__class_Odivide(_u2461, _u2462, c_Int_Onumber__class_Onumber__of(_u2461, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1421, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2463) | ~c_Orderings_Oord__class_Oless(tc_Int_Oint, _u2463, c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) | ( _u2463 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u2463 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 15.12/15.31 cnf(matrix-1422, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2464, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2464, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = _u2464) )).
% 15.12/15.31 cnf(matrix-1423, plain, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2465) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2465, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1424, plain, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2465) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465))), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1425, plain, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2465, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1426, plain, ( ( _u2465 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2465, _u2466) | ( _u2466 != c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2465))), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1427, plain, ( ( _u2468 = _u2469) | ~c_Deriv_Oderiv(tc_RealDef_Oreal, _u2470, skolem12(_u2471, _u2470, _u2469, _u2468), _u2471) | ( hAPP(_u2470, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2468, _u2469), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(_u2470, _u2468), hAPP(_u2470, _u2469)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1428, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2473), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2473, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1429, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2474, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2474), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1430, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2476)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2476) )).
% 15.12/15.31 cnf(matrix-1431, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2477) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2477)) )).
% 15.12/15.31 cnf(matrix-1432, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2479)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2479) )).
% 15.12/15.31 cnf(matrix-1433, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2480) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2480)) )).
% 15.12/15.31 cnf(matrix-1434, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2482), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2482, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1435, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2483, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2483), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1436, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), _u2484) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2484)) )).
% 15.12/15.31 cnf(matrix-1437, plain, ( ( hAPP(c_NthRoot_Osqrt, _u2486) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( _u2486 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1438, plain, ( ( _u2487 != c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, _u2487) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1439, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1440, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2488, _u2489) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2488), hAPP(c_NthRoot_Osqrt, _u2489)) )).
% 15.12/15.31 cnf(matrix-1441, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2492), hAPP(c_NthRoot_Osqrt, _u2494)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2492, _u2494) )).
% 15.12/15.31 cnf(matrix-1442, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2493, _u2495) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2493), hAPP(c_NthRoot_Osqrt, _u2495)) )).
% 15.12/15.31 cnf(matrix-1443, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2496, _u2497) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2496), hAPP(c_NthRoot_Osqrt, _u2497)) )).
% 15.12/15.31 cnf(matrix-1444, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2500), hAPP(c_NthRoot_Osqrt, _u2502)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2500, _u2502) )).
% 15.12/15.31 cnf(matrix-1445, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2501, _u2503) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2501), hAPP(c_NthRoot_Osqrt, _u2503)) )).
% 15.12/15.31 cnf(matrix-1446, plain, ( ( hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2504), _u2505)) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2504)), hAPP(c_NthRoot_Osqrt, _u2505))) )).
% 15.12/15.31 cnf(matrix-1447, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u2506)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2506))) )).
% 15.12/15.31 cnf(matrix-1448, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u2507)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2507))) )).
% 15.12/15.31 cnf(matrix-1449, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2508, _u2509)) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2508), hAPP(c_NthRoot_Osqrt, _u2509))) )).
% 15.12/15.31 cnf(matrix-1450, plain, ( ( hAPP(c_NthRoot_Osqrt, _u2512) != hAPP(c_NthRoot_Osqrt, _u2514)) | ( _u2512 = _u2514) )).
% 15.12/15.31 cnf(matrix-1451, plain, ( ( _u2513 != _u2515) | ( hAPP(c_NthRoot_Osqrt, _u2513) = hAPP(c_NthRoot_Osqrt, _u2515)) )).
% 15.12/15.31 cnf(matrix-1452, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2516) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2516)) )).
% 15.12/15.31 cnf(matrix-1453, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2517) | ( hAPP(c_NthRoot_Osqrt, _u2517) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1454, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2519), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2519, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1455, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2520, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2520), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1456, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2522)) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2522) )).
% 15.12/15.31 cnf(matrix-1457, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2523) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2523)) )).
% 15.12/15.31 cnf(matrix-1458, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2525)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2525) )).
% 15.12/15.31 cnf(matrix-1459, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2526) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2526)) )).
% 15.12/15.31 cnf(matrix-1460, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2528), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2528, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1461, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2529, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2529), c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1462, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2530) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, _u2530)) )).
% 15.12/15.31 cnf(matrix-1463, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2531) | ( hAPP(c_NthRoot_Osqrt, _u2531) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2531 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1464, plain, ( ( hAPP(c_NthRoot_Osqrt, _u2533) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2533 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1465, plain, ( ( _u2534 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, _u2534) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1466, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1467, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2535, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2535), _u2535), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2536), _u2536)))) )).
% 15.12/15.31 cnf(matrix-1468, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2537), _u2537), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2538), _u2538)))) )).
% 15.12/15.31 cnf(matrix-1469, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2539) | ( c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2539), _u2539) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2539))) )).
% 15.12/15.31 cnf(matrix-1470, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1471, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1472, plain, ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1473, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2540) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2540, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), _u2540) )).
% 15.12/15.31 cnf(matrix-1474, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2541) | c_Deriv_Oderiv(tc_RealDef_Oreal, c_NthRoot_Osqrt, _u2541, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2541)), c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1475, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2542) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2543, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2542, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2544, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2542, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2543) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2544) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2543, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2544, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _u2542) )).
% 15.12/15.31 cnf(matrix-1476, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2545, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2546, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2547, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2548, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 15.12/15.31 cnf(matrix-1477, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2549, _u2550)) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2549), _u2550)) )).
% 15.12/15.31 cnf(matrix-1478, plain, ( ~class_Rings_Ocomm__semiring__1(_u2551) | ( c_Power_Opower__class_Opower(_u2551, _u2552, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2551)) )).
% 15.12/15.31 cnf(matrix-1479, plain, ( ~class_Rings_Ocomm__semiring__1(_u2553) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2553, c_Power_Opower__class_Opower(_u2553, _u2554, _u2555)), c_Power_Opower__class_Opower(_u2553, _u2554, _u2556)) = c_Power_Opower__class_Opower(_u2553, _u2554, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2555, _u2556))) )).
% 15.12/15.31 cnf(matrix-1480, plain, ( ~class_Rings_Ocomm__semiring__1(_u2557) | ( c_Power_Opower__class_Opower(_u2557, c_Power_Opower__class_Opower(_u2557, _u2558, _u2559), _u2560) = c_Power_Opower__class_Opower(_u2557, _u2558, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2559), _u2560))) )).
% 15.12/15.31 cnf(matrix-1481, plain, ( ~class_Rings_Ocomm__semiring__1(_u2561) | ( c_Power_Opower__class_Opower(_u2561, hAPP(c_Groups_Otimes__class_Otimes(_u2561, _u2562), _u2563), _u2564) = hAPP(c_Groups_Otimes__class_Otimes(_u2561, c_Power_Opower__class_Opower(_u2561, _u2562, _u2564)), c_Power_Opower__class_Opower(_u2561, _u2563, _u2564))) )).
% 15.12/15.31 cnf(matrix-1482, plain, ( ~class_Rings_Ocomm__semiring__1(_u2565) | ( c_Power_Opower__class_Opower(_u2565, _u2566, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2566) )).
% 15.12/15.31 cnf(matrix-1483, plain, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) != c_Groups_Ozero__class_Ozero(_u2567)) | ( _u2568 = c_Groups_Ozero__class_Ozero(_u2567)) )).
% 15.12/15.31 cnf(matrix-1484, plain, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) != c_Groups_Ozero__class_Ozero(_u2567)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1485, plain, ( ~class_Power_Opower(_u2567) | ~class_Rings_Omult__zero(_u2567) | ~class_Rings_Ono__zero__divisors(_u2567) | ~class_Rings_Ozero__neq__one(_u2567) | ( _u2568 != c_Groups_Ozero__class_Ozero(_u2567)) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2567, _u2568, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2569)) = c_Groups_Ozero__class_Ozero(_u2567)) )).
% 15.12/15.31 cnf(matrix-1486, plain, ( ~class_Power_Opower(_u2570) | ~class_Rings_Osemiring__0(_u2570) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2570, c_Groups_Ozero__class_Ozero(_u2570), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571)) = c_Groups_Oone__class_Oone(_u2570)) )).
% 15.12/15.31 cnf(matrix-1487, plain, ( ~class_Power_Opower(_u2570) | ~class_Rings_Osemiring__0(_u2570) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2570, c_Groups_Ozero__class_Ozero(_u2570), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2571)) = c_Groups_Ozero__class_Ozero(_u2570)) )).
% 15.12/15.31 cnf(matrix-1488, plain, ( ~class_Groups_Omonoid__mult(_u2572) | ( c_Power_Opower__class_Opower(_u2572, _u2573, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2572, hAPP(c_Groups_Otimes__class_Otimes(_u2572, _u2573), _u2573)), _u2573)) )).
% 15.12/15.31 cnf(matrix-1489, plain, ( ~class_Rings_Osemiring__1(_u2574) | ( c_Power_Opower__class_Opower(_u2574, c_Groups_Ozero__class_Ozero(_u2574), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u2574)) )).
% 15.12/15.31 cnf(matrix-1490, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2575) | ( c_Power_Opower__class_Opower(_u2575, _u2576, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u2575)) | ( _u2576 = c_Groups_Ozero__class_Ozero(_u2575)) )).
% 15.12/15.31 cnf(matrix-1491, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2575) | ( _u2576 != c_Groups_Ozero__class_Ozero(_u2575)) | ( c_Power_Opower__class_Opower(_u2575, _u2576, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u2575)) )).
% 15.12/15.31 cnf(matrix-1492, plain, ( ~class_Rings_Ocomm__semiring__1(_u2577) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2577, _u2578), _u2578) = c_Power_Opower__class_Opower(_u2577, _u2578, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1493, plain, ( ~class_Groups_Omonoid__mult(_u2579) | ( c_Power_Opower__class_Opower(_u2579, _u2580, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2579, _u2580), _u2580)) )).
% 15.12/15.31 cnf(matrix-1494, plain, ( ~class_Rings_Osemiring__1(_u2581) | ( c_Power_Opower__class_Opower(_u2581, c_Groups_Oone__class_Oone(_u2581), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2581)) )).
% 15.12/15.31 cnf(matrix-1495, plain, ( ~class_Rings_Oring__1(_u2582) | ( c_Power_Opower__class_Opower(_u2582, c_Groups_Ouminus__class_Ouminus(_u2582, _u2583), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Power_Opower__class_Opower(_u2582, _u2583, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1496, plain, ( ~class_Groups_Omonoid__mult(_u2584) | ( c_Power_Opower__class_Opower(_u2584, _u2585, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2586)) = c_Power_Opower__class_Opower(_u2584, c_Power_Opower__class_Opower(_u2584, _u2585, _u2586), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1497, plain, ( ~class_Rings_Olinordered__idom(_u2587) | c_Orderings_Oord__class_Oless__eq(_u2587, c_Groups_Ozero__class_Ozero(_u2587), c_Power_Opower__class_Opower(_u2587, _u2588, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1498, plain, ( ~class_Rings_Olinordered__semidom(_u2589) | ~c_Orderings_Oord__class_Oless__eq(_u2589, c_Power_Opower__class_Opower(_u2589, _u2590, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2589, _u2591, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2589, c_Groups_Ozero__class_Ozero(_u2589), _u2591) | c_Orderings_Oord__class_Oless__eq(_u2589, _u2590, _u2591) )).
% 15.12/15.31 cnf(matrix-1499, plain, ( ~class_Rings_Olinordered__semidom(_u2592) | ( c_Power_Opower__class_Opower(_u2592, _u2593, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Power_Opower__class_Opower(_u2592, _u2594, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2592, c_Groups_Ozero__class_Ozero(_u2592), _u2593) | ~c_Orderings_Oord__class_Oless__eq(_u2592, c_Groups_Ozero__class_Ozero(_u2592), _u2594) | ( _u2593 = _u2594) )).
% 15.12/15.31 cnf(matrix-1500, plain, ( ~class_Rings_Olinordered__idom(_u2595) | ~c_Orderings_Oord__class_Oless(_u2595, c_Groups_Ozero__class_Ozero(_u2595), c_Power_Opower__class_Opower(_u2595, _u2596, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u2596 != c_Groups_Ozero__class_Ozero(_u2595)) )).
% 15.12/15.31 cnf(matrix-1501, plain, ( ~class_Rings_Olinordered__idom(_u2595) | ( _u2596 = c_Groups_Ozero__class_Ozero(_u2595)) | c_Orderings_Oord__class_Oless(_u2595, c_Groups_Ozero__class_Ozero(_u2595), c_Power_Opower__class_Opower(_u2595, _u2596, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1502, plain, ( ~class_Rings_Olinordered__idom(_u2597) | ~c_Orderings_Oord__class_Oless(_u2597, c_Power_Opower__class_Opower(_u2597, _u2598, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Groups_Ozero__class_Ozero(_u2597)) )).
% 15.12/15.31 cnf(matrix-1503, plain, ( ~class_Rings_Olinordered__idom(_u2599) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2600 = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.31 cnf(matrix-1504, plain, ( ~class_Rings_Olinordered__idom(_u2599) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2601 = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.31 cnf(matrix-1505, plain, ( ~class_Rings_Olinordered__idom(_u2599) | ( _u2600 != c_Groups_Ozero__class_Ozero(_u2599)) | ( _u2601 != c_Groups_Ozero__class_Ozero(_u2599)) | ( c_Groups_Oplus__class_Oplus(_u2599, c_Power_Opower__class_Opower(_u2599, _u2600, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2599, _u2601, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u2599)) )).
% 15.12/15.31 cnf(matrix-1506, plain, ( ~class_Groups_Omonoid__mult(_u2602) | ~class_Int_Onumber(_u2602) | ( c_Power_Opower__class_Opower(_u2602, c_Int_Onumber__class_Onumber__of(_u2602, _u2603), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(_u2602, c_Int_Onumber__class_Onumber__of(_u2602, _u2603)), c_Int_Onumber__class_Onumber__of(_u2602, _u2603))) )).
% 15.12/15.31 cnf(matrix-1507, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 = c_Groups_Ouminus__class_Ouminus(_u2604, c_Groups_Oone__class_Oone(_u2604))) )).
% 15.12/15.31 cnf(matrix-1508, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 != c_Groups_Oone__class_Oone(_u2604)) )).
% 15.12/15.31 cnf(matrix-1509, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2604) | ( c_Power_Opower__class_Opower(_u2604, _u2605, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u2604)) | ( _u2605 != c_Groups_Ouminus__class_Ouminus(_u2604, c_Groups_Oone__class_Oone(_u2604))) )).
% 15.12/15.31 cnf(matrix-1510, plain, ( ~class_Rings_Ocomm__semiring__1(_u2606) | ( c_Power_Opower__class_Opower(_u2606, _u2607, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2608)) = hAPP(c_Groups_Otimes__class_Otimes(_u2606, c_Power_Opower__class_Opower(_u2606, _u2607, _u2608)), c_Power_Opower__class_Opower(_u2606, _u2607, _u2608))) )).
% 15.12/15.31 cnf(matrix-1511, plain, ( ~class_Rings_Oring__1(_u2609) | ( c_Power_Opower__class_Opower(_u2609, c_Groups_Ouminus__class_Ouminus(_u2609, _u2610), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2611)) = c_Power_Opower__class_Opower(_u2609, _u2610, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2611))) )).
% 15.12/15.31 cnf(matrix-1512, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2614, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2616, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2614 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1513, plain, ( ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2614, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2616, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2616 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1514, plain, ( ( _u2615 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( _u2617 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2615, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2617, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1515, plain, ( ( hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2618, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2618), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1516, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))), _u2619)) )).
% 15.12/15.31 cnf(matrix-1517, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2620, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2621, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1518, plain, ( ~class_Rings_Olinordered__semidom(_u2622) | ~c_Orderings_Oord__class_Oless(_u2622, c_Power_Opower__class_Opower(_u2622, _u2623, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2622, _u2624, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ~c_Orderings_Oord__class_Oless__eq(_u2622, c_Groups_Ozero__class_Ozero(_u2622), _u2624) | c_Orderings_Oord__class_Oless(_u2622, _u2623, _u2624) )).
% 15.12/15.31 cnf(matrix-1519, plain, ( ~class_Rings_Olinordered__idom(_u2625) | c_Orderings_Oord__class_Oless__eq(_u2625, c_Groups_Ozero__class_Ozero(_u2625), c_Groups_Oplus__class_Oplus(_u2625, c_Power_Opower__class_Opower(_u2625, _u2626, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2625, _u2627, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 15.12/15.31 cnf(matrix-1520, plain, ( ~class_Rings_Olinordered__idom(_u2628) | ~c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2629 = c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.31 cnf(matrix-1521, plain, ( ~class_Rings_Olinordered__idom(_u2628) | ~c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2630 = c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.31 cnf(matrix-1522, plain, ( ~class_Rings_Olinordered__idom(_u2628) | ( _u2629 != c_Groups_Ozero__class_Ozero(_u2628)) | ( _u2630 != c_Groups_Ozero__class_Ozero(_u2628)) | c_Orderings_Oord__class_Oless__eq(_u2628, c_Groups_Oplus__class_Oplus(_u2628, c_Power_Opower__class_Opower(_u2628, _u2629, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2628, _u2630, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2628)) )).
% 15.12/15.31 cnf(matrix-1523, plain, ( ~class_Rings_Olinordered__idom(_u2631) | ~c_Orderings_Oord__class_Oless(_u2631, c_Groups_Oplus__class_Oplus(_u2631, c_Power_Opower__class_Opower(_u2631, _u2632, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2631, _u2633, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u2631)) )).
% 15.12/15.31 cnf(matrix-1524, plain, ( ~class_Rings_Olinordered__idom(_u2634) | ~c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2635 != c_Groups_Ozero__class_Ozero(_u2634)) | ( _u2636 != c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.31 cnf(matrix-1525, plain, ( ~class_Rings_Olinordered__idom(_u2634) | c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2635 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.31 cnf(matrix-1526, plain, ( ~class_Rings_Olinordered__idom(_u2634) | c_Orderings_Oord__class_Oless(_u2634, c_Groups_Ozero__class_Ozero(_u2634), c_Groups_Oplus__class_Oplus(_u2634, c_Power_Opower__class_Opower(_u2634, _u2635, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2634, _u2636, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u2636 = c_Groups_Ozero__class_Ozero(_u2634)) )).
% 15.12/15.31 cnf(matrix-1527, plain, ( ~class_Int_Onumber__ring(_u2637) | ( c_Power_Opower__class_Opower(_u2637, c_Groups_Oplus__class_Oplus(_u2637, _u2638, _u2639), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(_u2637, c_Groups_Oplus__class_Oplus(_u2637, c_Power_Opower__class_Opower(_u2637, _u2638, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(_u2637, _u2639, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(c_Groups_Otimes__class_Otimes(_u2637, hAPP(c_Groups_Otimes__class_Otimes(_u2637, c_Int_Onumber__class_Onumber__of(_u2637, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2638)), _u2639))) )).
% 15.12/15.31 cnf(matrix-1528, plain, ( ~class_Rings_Olinordered__idom(_u2640) | ~c_Orderings_Oord__class_Oless__eq(_u2640, c_Power_Opower__class_Opower(_u2640, _u2641, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2642)), c_Groups_Ozero__class_Ozero(_u2640)) | ( _u2641 = c_Groups_Ozero__class_Ozero(_u2640)) )).
% 15.12/15.31 cnf(matrix-1529, plain, ( ~class_Rings_Olinordered__idom(_u2643) | c_Orderings_Oord__class_Oless__eq(_u2643, c_Groups_Ozero__class_Ozero(_u2643), c_Power_Opower__class_Opower(_u2643, _u2644, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2645))) )).
% 15.12/15.31 cnf(matrix-1530, plain, ( ~class_Rings_Oring__1(_u2646) | ( c_Power_Opower__class_Opower(_u2646, c_Groups_Ouminus__class_Ouminus(_u2646, c_Groups_Oone__class_Oone(_u2646)), hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2647)) = c_Groups_Oone__class_Oone(_u2646)) )).
% 15.12/15.31 cnf(matrix-1531, plain, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2648, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != _u2649) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2648) | ( hAPP(c_NthRoot_Osqrt, _u2649) = _u2648) )).
% 15.12/15.31 cnf(matrix-1532, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2650) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2650), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2650) )).
% 15.12/15.31 cnf(matrix-1533, plain, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2652), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != _u2652) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2652) )).
% 15.12/15.31 cnf(matrix-1534, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2653) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2653), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2653) )).
% 15.12/15.31 cnf(matrix-1535, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2654) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2654), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 15.12/15.31 cnf(matrix-1536, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2655, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2655, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2656, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.31 cnf(matrix-1537, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2657, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2658, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2657, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.31 cnf(matrix-1538, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2659, _u2660), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2661, _u2662), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2659, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2661, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2660, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2662, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))) )).
% 15.12/15.31 cnf(matrix-1539, plain, ( ( _u2664 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ( hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2663, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2664, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != _u2663) )).
% 15.12/15.31 cnf(matrix-1540, plain, ( ( hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2665, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2666, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) != _u2666) | ( _u2665 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1541, plain, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2667, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2669, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2667, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2668, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2669, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2670, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.31 cnf(matrix-1542, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2671, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2672, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.31 cnf(matrix-1543, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal), _u2673) | ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, _u2673)), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, _u2673)) )).
% 15.12/15.31 cnf(matrix-1544, plain, ( ( c_Power_Opower__class_Opower(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, _u2674, _u2675), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2674, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2675, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u2674)), _u2675))) )).
% 15.12/15.31 cnf(matrix-1545, plain, ( ~class_Rings_Olinordered__semidom(_u2676) | ~c_Orderings_Oord__class_Oless(_u2676, _u2677, _u2678) | ~c_Orderings_Oord__class_Oless__eq(_u2676, c_Groups_Ozero__class_Ozero(_u2676), _u2677) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2679) | c_Orderings_Oord__class_Oless(_u2676, c_Power_Opower__class_Opower(_u2676, _u2677, _u2679), c_Power_Opower__class_Opower(_u2676, _u2678, _u2679)) )).
% 15.12/15.31 cnf(matrix-1546, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2680) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Power_Opower__class_Opower(tc_Nat_Onat, _u2680, _u2681), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2680, _u2682)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2681, _u2682) )).
% 15.12/15.31 cnf(matrix-1547, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2685, _u2687)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2685) | ( _u2687 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1548, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2686, _u2688)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2686) )).
% 15.12/15.31 cnf(matrix-1549, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2686, _u2688)) | ( _u2688 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1550, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u2689) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), c_Power_Opower__class_Opower(tc_Int_Oint, _u2689, _u2690)) )).
% 15.12/15.31 cnf(matrix-1551, plain, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2692, _u2693)) = hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, _u2692)), c_Power_Opower__class_Opower(tc_Int_Oint, _u2691, _u2693))) )).
% 15.12/15.31 cnf(matrix-1552, plain, ( ( c_Power_Opower__class_Opower(tc_Int_Oint, c_Power_Opower__class_Opower(tc_Int_Oint, _u2694, _u2695), _u2696) = c_Power_Opower__class_Opower(tc_Int_Oint, _u2694, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2695), _u2696))) )).
% 15.12/15.31 cnf(matrix-1553, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2699, _u2701)) | ( _u2701 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2699) )).
% 15.12/15.31 cnf(matrix-1554, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2700, _u2702)) | ( _u2702 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1555, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2700, _u2702)) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2700) )).
% 15.12/15.31 cnf(matrix-1556, plain, ( ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2705, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2707))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2707) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2705) )).
% 15.12/15.31 cnf(matrix-1557, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2706, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708))) | ( c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1558, plain, ( c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), c_Power_Opower__class_Opower(tc_Nat_Onat, _u2706, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, _u2708))) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2706) )).
% 15.12/15.31 cnf(matrix-1559, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u2709) | ( _u2710 = c_Groups_Ozero__class_Ozero(_u2709)) | ( c_Power_Opower__class_Opower(_u2709, _u2710, _u2711) != c_Groups_Ozero__class_Ozero(_u2709)) )).
% 15.12/15.31 cnf(matrix-1560, plain, ( ~class_Groups_Ocomm__monoid__mult(_u2712) | ( c_Power_Opower__class_Opower(_u2712, hAPP(c_Groups_Otimes__class_Otimes(_u2712, _u2713), _u2714), _u2715) = hAPP(c_Groups_Otimes__class_Otimes(_u2712, c_Power_Opower__class_Opower(_u2712, _u2713, _u2715)), c_Power_Opower__class_Opower(_u2712, _u2714, _u2715))) )).
% 15.12/15.31 cnf(matrix-1561, plain, ( ~class_Groups_Omonoid__mult(_u2716) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2716, c_Power_Opower__class_Opower(_u2716, _u2717, _u2718)), _u2717) = hAPP(c_Groups_Otimes__class_Otimes(_u2716, _u2717), c_Power_Opower__class_Opower(_u2716, _u2717, _u2718))) )).
% 15.12/15.31 cnf(matrix-1562, plain, ( ~class_Groups_Omonoid__mult(_u2719) | ( c_Power_Opower__class_Opower(_u2719, c_Groups_Oone__class_Oone(_u2719), _u2720) = c_Groups_Oone__class_Oone(_u2719)) )).
% 15.12/15.31 cnf(matrix-1563, plain, ( ~class_Fields_Ofield__inverse__zero(_u2721) | ( c_Power_Opower__class_Opower(_u2721, c_Rings_Oinverse__class_Odivide(_u2721, _u2722, _u2723), _u2724) = c_Rings_Oinverse__class_Odivide(_u2721, c_Power_Opower__class_Opower(_u2721, _u2722, _u2724), c_Power_Opower__class_Opower(_u2721, _u2723, _u2724))) )).
% 15.12/15.31 cnf(matrix-1564, plain, ( ~class_Groups_Omonoid__mult(_u2725) | ( c_Power_Opower__class_Opower(_u2725, _u2726, hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat, _u2727), _u2728)) = c_Power_Opower__class_Opower(_u2725, c_Power_Opower__class_Opower(_u2725, _u2726, _u2727), _u2728)) )).
% 15.12/15.31 cnf(matrix-1565, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u2729) | ( c_Rings_Oinverse__class_Oinverse(_u2729, c_Power_Opower__class_Opower(_u2729, _u2730, _u2731)) = c_Power_Opower__class_Opower(_u2729, c_Rings_Oinverse__class_Oinverse(_u2729, _u2730), _u2731)) )).
% 15.12/15.31 cnf(matrix-1566, plain, ( ~class_Groups_Omonoid__mult(_u2732) | ( c_Power_Opower__class_Opower(_u2732, _u2733, c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u2733) )).
% 15.12/15.31 cnf(matrix-1567, plain, ( ~class_Rings_Olinordered__semidom(_u2734) | ~c_Orderings_Oord__class_Oless__eq(_u2734, c_Groups_Ozero__class_Ozero(_u2734), _u2735) | c_Orderings_Oord__class_Oless__eq(_u2734, c_Groups_Ozero__class_Ozero(_u2734), c_Power_Opower__class_Opower(_u2734, _u2735, _u2736)) )).
% 15.12/15.31 cnf(matrix-1568, plain, ( ~class_Rings_Olinordered__semidom(_u2737) | ~c_Orderings_Oord__class_Oless__eq(_u2737, _u2738, _u2739) | ~c_Orderings_Oord__class_Oless__eq(_u2737, c_Groups_Ozero__class_Ozero(_u2737), _u2738) | c_Orderings_Oord__class_Oless__eq(_u2737, c_Power_Opower__class_Opower(_u2737, _u2738, _u2740), c_Power_Opower__class_Opower(_u2737, _u2739, _u2740)) )).
% 15.12/15.31 cnf(matrix-1569, plain, ( ~class_Rings_Olinordered__semidom(_u2741) | ~c_Orderings_Oord__class_Oless(_u2741, c_Groups_Ozero__class_Ozero(_u2741), _u2742) | c_Orderings_Oord__class_Oless(_u2741, c_Groups_Ozero__class_Ozero(_u2741), c_Power_Opower__class_Opower(_u2741, _u2742, _u2743)) )).
% 15.12/15.31 cnf(matrix-1570, plain, ( ~class_Rings_Olinordered__semidom(_u2744) | ~c_Orderings_Oord__class_Oless__eq(_u2744, c_Groups_Oone__class_Oone(_u2744), _u2745) | c_Orderings_Oord__class_Oless__eq(_u2744, c_Groups_Oone__class_Oone(_u2744), c_Power_Opower__class_Opower(_u2744, _u2745, _u2746)) )).
% 15.12/15.31 cnf(matrix-1571, plain, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2748 = c_Groups_Ozero__class_Ozero(_u2747)) )).
% 15.12/15.31 cnf(matrix-1572, plain, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2749 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 15.12/15.31 cnf(matrix-1573, plain, ( ~class_Power_Opower(_u2747) | ~class_Rings_Omult__zero(_u2747) | ~class_Rings_Ono__zero__divisors(_u2747) | ~class_Rings_Ozero__neq__one(_u2747) | ( _u2748 != c_Groups_Ozero__class_Ozero(_u2747)) | ( _u2749 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2747, _u2748, _u2749) = c_Groups_Ozero__class_Ozero(_u2747)) )).
% 15.12/15.31 cnf(matrix-1574, plain, ( ~class_Rings_Olinordered__semidom(_u2750) | ~c_Orderings_Oord__class_Oless(_u2750, c_Groups_Oone__class_Oone(_u2750), _u2751) | ( c_Power_Opower__class_Opower(_u2750, _u2751, _u2752) != c_Power_Opower__class_Opower(_u2750, _u2751, _u2753)) | ( _u2752 = _u2753) )).
% 15.12/15.31 cnf(matrix-1575, plain, ( ~class_Rings_Olinordered__semidom(_u2750) | ~c_Orderings_Oord__class_Oless(_u2750, c_Groups_Oone__class_Oone(_u2750), _u2751) | ( _u2752 != _u2753) | ( c_Power_Opower__class_Opower(_u2750, _u2751, _u2752) = c_Power_Opower__class_Opower(_u2750, _u2751, _u2753)) )).
% 15.12/15.31 cnf(matrix-1576, plain, ( ~class_Fields_Ofield(_u2754) | ( _u2755 = c_Groups_Ozero__class_Ozero(_u2754)) | ( c_Power_Opower__class_Opower(_u2754, c_Rings_Oinverse__class_Odivide(_u2754, _u2756, _u2755), _u2757) = c_Rings_Oinverse__class_Odivide(_u2754, c_Power_Opower__class_Opower(_u2754, _u2756, _u2757), c_Power_Opower__class_Opower(_u2754, _u2755, _u2757))) )).
% 15.12/15.31 cnf(matrix-1577, plain, ( ~class_Power_Opower(_u2758) | ( c_Power_Opower__class_Opower(_u2758, _u2759, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u2758)) )).
% 15.12/15.31 cnf(matrix-1578, plain, ( ~class_Groups_Omonoid__mult(_u2760) | ( c_Power_Opower__class_Opower(_u2760, _u2761, c_Groups_Oplus__class_Oplus(tc_Nat_Onat, _u2762, _u2763)) = hAPP(c_Groups_Otimes__class_Otimes(_u2760, c_Power_Opower__class_Opower(_u2760, _u2761, _u2762)), c_Power_Opower__class_Opower(_u2760, _u2761, _u2763))) )).
% 15.12/15.31 cnf(matrix-1579, plain, ( ~class_Fields_Ofield__inverse__zero(_u2764) | ( c_Rings_Oinverse__class_Odivide(_u2764, c_Groups_Oone__class_Oone(_u2764), c_Power_Opower__class_Opower(_u2764, _u2765, _u2766)) = c_Power_Opower__class_Opower(_u2764, c_Rings_Oinverse__class_Odivide(_u2764, c_Groups_Oone__class_Oone(_u2764), _u2765), _u2766)) )).
% 15.12/15.31 cnf(matrix-1580, plain, ( ~class_Rings_Odivision__ring(_u2767) | ( _u2768 = c_Groups_Ozero__class_Ozero(_u2767)) | ( c_Rings_Oinverse__class_Oinverse(_u2767, c_Power_Opower__class_Opower(_u2767, _u2768, _u2769)) = c_Power_Opower__class_Opower(_u2767, c_Rings_Oinverse__class_Oinverse(_u2767, _u2768), _u2769)) )).
% 15.12/15.31 cnf(matrix-1581, plain, ( ~class_Rings_Olinordered__semidom(_u2770) | ~c_Orderings_Oord__class_Oless(_u2770, c_Power_Opower__class_Opower(_u2770, _u2771, _u2772), c_Power_Opower__class_Opower(_u2770, _u2773, _u2772)) | ~c_Orderings_Oord__class_Oless__eq(_u2770, c_Groups_Ozero__class_Ozero(_u2770), _u2773) | c_Orderings_Oord__class_Oless(_u2770, _u2771, _u2773) )).
% 15.12/15.31 cnf(matrix-1582, plain, ( ~class_Rings_Olinordered__semidom(_u2774) | ~c_Orderings_Oord__class_Oless(_u2774, c_Groups_Oone__class_Oone(_u2774), _u2775) | c_Orderings_Oord__class_Oless(_u2774, c_Groups_Oone__class_Oone(_u2774), hAPP(c_Groups_Otimes__class_Otimes(_u2774, _u2775), c_Power_Opower__class_Opower(_u2774, _u2775, _u2776))) )).
% 15.12/15.31 cnf(matrix-1583, plain, ( ~class_Rings_Olinordered__semidom(_u2777) | ~c_Orderings_Oord__class_Oless(_u2777, c_Groups_Oone__class_Oone(_u2777), _u2778) | c_Orderings_Oord__class_Oless(_u2777, c_Power_Opower__class_Opower(_u2777, _u2778, _u2779), hAPP(c_Groups_Otimes__class_Otimes(_u2777, _u2778), c_Power_Opower__class_Opower(_u2777, _u2778, _u2779))) )).
% 15.12/15.31 cnf(matrix-1584, plain, ( ~class_Power_Opower(_u2780) | ~class_Rings_Osemiring__0(_u2780) | ( _u2781 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2780, c_Groups_Ozero__class_Ozero(_u2780), _u2781) = c_Groups_Oone__class_Oone(_u2780)) )).
% 15.12/15.31 cnf(matrix-1585, plain, ( ~class_Power_Opower(_u2780) | ~class_Rings_Osemiring__0(_u2780) | ( _u2781 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Power_Opower__class_Opower(_u2780, c_Groups_Ozero__class_Ozero(_u2780), _u2781) = c_Groups_Ozero__class_Ozero(_u2780)) )).
% 15.12/15.31 cnf(matrix-1586, plain, ( ~class_Rings_Oring__1(_u2782) | ( c_Power_Opower__class_Opower(_u2782, c_Groups_Ouminus__class_Ouminus(_u2782, _u2783), _u2784) = hAPP(c_Groups_Otimes__class_Otimes(_u2782, c_Power_Opower__class_Opower(_u2782, c_Groups_Ouminus__class_Ouminus(_u2782, c_Groups_Oone__class_Oone(_u2782)), _u2784)), c_Power_Opower__class_Opower(_u2782, _u2783, _u2784))) )).
% 15.12/15.31 cnf(matrix-1587, plain, ( ~class_Rings_Olinordered__semidom(_u2785) | ~c_Orderings_Oord__class_Oless(_u2785, c_Groups_Oone__class_Oone(_u2785), _u2786) | ~c_Orderings_Oord__class_Oless(_u2785, c_Power_Opower__class_Opower(_u2785, _u2786, _u2787), c_Power_Opower__class_Opower(_u2785, _u2786, _u2788)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2787, _u2788) )).
% 15.12/15.31 cnf(matrix-1588, plain, ( ~class_Rings_Olinordered__semidom(_u2785) | ~c_Orderings_Oord__class_Oless(_u2785, c_Groups_Oone__class_Oone(_u2785), _u2786) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2787, _u2788) | c_Orderings_Oord__class_Oless(_u2785, c_Power_Opower__class_Opower(_u2785, _u2786, _u2787), c_Power_Opower__class_Opower(_u2785, _u2786, _u2788)) )).
% 15.12/15.31 cnf(matrix-1589, plain, ( ~class_Rings_Olinordered__semidom(_u2789) | ~c_Orderings_Oord__class_Oless(_u2789, c_Groups_Oone__class_Oone(_u2789), _u2790) | ~c_Orderings_Oord__class_Oless(_u2789, c_Power_Opower__class_Opower(_u2789, _u2790, _u2791), c_Power_Opower__class_Opower(_u2789, _u2790, _u2792)) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2791, _u2792) )).
% 15.12/15.31 cnf(matrix-1590, plain, ( ~class_Rings_Olinordered__semidom(_u2793) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2794, _u2795) | ~c_Orderings_Oord__class_Oless(_u2793, c_Groups_Oone__class_Oone(_u2793), _u2796) | c_Orderings_Oord__class_Oless(_u2793, c_Power_Opower__class_Opower(_u2793, _u2796, _u2794), c_Power_Opower__class_Opower(_u2793, _u2796, _u2795)) )).
% 15.12/15.31 cnf(matrix-1591, plain, ( ~class_Rings_Olinordered__semidom(_u2797) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2798, _u2799) | ~c_Orderings_Oord__class_Oless__eq(_u2797, c_Groups_Oone__class_Oone(_u2797), _u2800) | c_Orderings_Oord__class_Oless__eq(_u2797, c_Power_Opower__class_Opower(_u2797, _u2800, _u2798), c_Power_Opower__class_Opower(_u2797, _u2800, _u2799)) )).
% 15.12/15.31 cnf(matrix-1592, plain, ( ~class_Rings_Olinordered__semidom(_u2801) | ~c_Orderings_Oord__class_Oless(_u2801, c_Groups_Ozero__class_Ozero(_u2801), _u2802) | ~c_Orderings_Oord__class_Oless(_u2801, _u2802, c_Groups_Oone__class_Oone(_u2801)) | c_Orderings_Oord__class_Oless(_u2801, hAPP(c_Groups_Otimes__class_Otimes(_u2801, _u2802), c_Power_Opower__class_Opower(_u2801, _u2802, _u2803)), c_Power_Opower__class_Opower(_u2801, _u2802, _u2803)) )).
% 15.12/15.31 cnf(matrix-1593, plain, ( ~class_Rings_Olinordered__semidom(_u2804) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, _u2805, _u2806) | ~c_Orderings_Oord__class_Oless(_u2804, c_Groups_Ozero__class_Ozero(_u2804), _u2807) | ~c_Orderings_Oord__class_Oless(_u2804, _u2807, c_Groups_Oone__class_Oone(_u2804)) | c_Orderings_Oord__class_Oless(_u2804, c_Power_Opower__class_Opower(_u2804, _u2807, _u2806), c_Power_Opower__class_Opower(_u2804, _u2807, _u2805)) )).
% 15.12/15.31 cnf(matrix-1594, plain, ( ~class_Rings_Olinordered__semidom(_u2808) | ( c_Power_Opower__class_Opower(_u2808, _u2809, _u2810) != c_Power_Opower__class_Opower(_u2808, _u2811, _u2810)) | ~c_Orderings_Oord__class_Oless__eq(_u2808, c_Groups_Ozero__class_Ozero(_u2808), _u2809) | ~c_Orderings_Oord__class_Oless__eq(_u2808, c_Groups_Ozero__class_Ozero(_u2808), _u2811) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2810) | ( _u2809 = _u2811) )).
% 15.12/15.31 cnf(matrix-1595, plain, ( ~class_Rings_Olinordered__semidom(_u2812) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2813, _u2814) | ~c_Orderings_Oord__class_Oless__eq(_u2812, c_Groups_Ozero__class_Ozero(_u2812), _u2815) | ~c_Orderings_Oord__class_Oless__eq(_u2812, _u2815, c_Groups_Oone__class_Oone(_u2812)) | c_Orderings_Oord__class_Oless__eq(_u2812, c_Power_Opower__class_Opower(_u2812, _u2815, _u2814), c_Power_Opower__class_Opower(_u2812, _u2815, _u2813)) )).
% 15.12/15.31 cnf(matrix-1596, plain, ( ~class_Rings_Olinordered__semidom(_u2816) | ~c_Orderings_Oord__class_Oless(_u2816, c_Groups_Oone__class_Oone(_u2816), _u2817) | ~c_Orderings_Oord__class_Oless__eq(_u2816, c_Power_Opower__class_Opower(_u2816, _u2817, _u2818), c_Power_Opower__class_Opower(_u2816, _u2817, _u2819)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2818, _u2819) )).
% 15.12/15.31 cnf(matrix-1597, plain, ( ~class_Rings_Olinordered__semidom(_u2816) | ~c_Orderings_Oord__class_Oless(_u2816, c_Groups_Oone__class_Oone(_u2816), _u2817) | ~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2818, _u2819) | c_Orderings_Oord__class_Oless__eq(_u2816, c_Power_Opower__class_Opower(_u2816, _u2817, _u2818), c_Power_Opower__class_Opower(_u2816, _u2817, _u2819)) )).
% 15.12/15.31 cnf(matrix-1598, plain, ( ~class_Rings_Olinordered__semidom(_u2820) | ~c_Orderings_Oord__class_Oless(_u2820, c_Groups_Oone__class_Oone(_u2820), _u2821) | ~c_Orderings_Oord__class_Oless__eq(_u2820, c_Power_Opower__class_Opower(_u2820, _u2821, _u2822), c_Power_Opower__class_Opower(_u2820, _u2821, _u2823)) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, _u2822, _u2823) )).
% 15.12/15.31 cnf(matrix-1599, plain, ( ~class_Rings_Olinordered__semidom(_u2824) | ~c_Orderings_Oord__class_Oless(_u2824, c_Groups_Oone__class_Oone(_u2824), _u2825) | ~c_Orderings_Oord__class_Oless(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u2826) | c_Orderings_Oord__class_Oless(_u2824, c_Groups_Oone__class_Oone(_u2824), c_Power_Opower__class_Opower(_u2824, _u2825, _u2826)) )).
% 15.12/15.31 cnf(matrix-1600, plain, ( ( c_Power_Opower__class_Opower(tc_Complex_Ocomplex, c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(_u2827), c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u2827) )).
% 15.12/15.31 cnf(matrix-1601, plain, ( ( hAPP(c_Transcendental_Oarctan, _u2828) = hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), hAPP(c_Transcendental_Oarctan, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2828, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2828, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))))))) )).
% 15.12/15.31 cnf(matrix-1602, plain, ( ( hAPP(c_Transcendental_Oarctan, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1603, plain, ( ( hAPP(c_Transcendental_Oarctan, c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, _u2829)) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2829))) )).
% 15.12/15.31 cnf(matrix-1604, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2830, _u2831) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2830), hAPP(c_Transcendental_Oarctan, _u2831)) )).
% 15.12/15.31 cnf(matrix-1605, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, _u2832, _u2833) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Transcendental_Oarctan, _u2832), hAPP(c_Transcendental_Oarctan, _u2833)) )).
% 15.12/15.31 cnf(matrix-1606, plain, ( c_Deriv_Oderiv(tc_RealDef_Oreal, c_Transcendental_Oarctan, _u2834, c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Groups_Oone__class_Oone(tc_RealDef_Oreal), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2834, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 15.12/15.31 cnf(matrix-1607, plain, ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2835, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2835, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2836, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))), c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1608, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2837), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2838, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2839), c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2838, hAPP(c_NthRoot_Osqrt, c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_NthRoot_Osqrt, c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2837, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), c_Power_Opower__class_Opower(tc_RealDef_Oreal, _u2839, c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), _u2838) )).
% 15.12/15.31 cnf(matrix-1609, plain, ( ~class_Rings_Olinordered__idom(_u2840) | c_Orderings_Oord__class_Oless__eq(_u2840, c_Groups_Ozero__class_Ozero(_u2840), c_Power_Opower__class_Opower(_u2840, c_Groups_Oabs__class_Oabs(_u2840, _u2841), _u2842)) )).
% 15.12/15.31 cnf(matrix-1610, plain, ( ~class_Rings_Olinordered__idom(_u2843) | ( c_Groups_Oabs__class_Oabs(_u2843, c_Power_Opower__class_Opower(_u2843, _u2844, _u2845)) = c_Power_Opower__class_Opower(_u2843, c_Groups_Oabs__class_Oabs(_u2843, _u2844), _u2845)) )).
% 15.12/15.31 cnf(matrix-1611, plain, ( ~class_Rings_Olinordered__idom(_u2846) | ( c_Groups_Oabs__class_Oabs(_u2846, c_Power_Opower__class_Opower(_u2846, c_Groups_Ouminus__class_Ouminus(_u2846, _u2847), _u2848)) = c_Groups_Oabs__class_Oabs(_u2846, c_Power_Opower__class_Opower(_u2846, _u2847, _u2848))) )).
% 15.12/15.31 cnf(matrix-1612, plain, ( ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, _u2849, c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) | ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2850), hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, _u2849), c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2851))) | ( _u2850 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )).
% 15.12/15.31 cnf(matrix-1613, plain, ( ~class_Rings_Olinordered__idom(_u2852) | ~c_Orderings_Oord__class_Oless__eq(_u2852, c_Groups_Ozero__class_Ozero(_u2852), _u2853) | ( hAPP(c_Groups_Otimes__class_Otimes(_u2852, c_Groups_Oabs__class_Oabs(_u2852, _u2854)), _u2853) = c_Groups_Oabs__class_Oabs(_u2852, hAPP(c_Groups_Otimes__class_Otimes(_u2852, _u2854), _u2853))) )).
% 15.12/15.31 cnf(matrix-1614, plain, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2856) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2857) )).
% 15.12/15.31 cnf(matrix-1615, plain, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2856) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2857, c_Groups_Ozero__class_Ozero(_u2855)) )).
% 15.12/15.31 cnf(matrix-1616, plain, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2856, c_Groups_Ozero__class_Ozero(_u2855)) | ~c_Orderings_Oord__class_Oless__eq(_u2855, c_Groups_Ozero__class_Ozero(_u2855), _u2857) )).
% 15.12/15.31 cnf(matrix-1617, plain, ( ~class_Rings_Oordered__ring__abs(_u2855) | ( c_Groups_Oabs__class_Oabs(_u2855, hAPP(c_Groups_Otimes__class_Otimes(_u2855, _u2856), _u2857)) = hAPP(c_Groups_Otimes__class_Otimes(_u2855, c_Groups_Oabs__class_Oabs(_u2855, _u2856)), c_Groups_Oabs__class_Oabs(_u2855, _u2857))) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2856, c_Groups_Ozero__class_Ozero(_u2855)) | ~c_Orderings_Oord__class_Oless__eq(_u2855, _u2857, c_Groups_Ozero__class_Ozero(_u2855)) )).
% 15.12/15.31 cnf(matrix-1618, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u2858) | ~c_Orderings_Oord__class_Oless__eq(_u2858, _u2859, c_Groups_Ozero__class_Ozero(_u2858)) | ( c_Groups_Oabs__class_Oabs(_u2858, _u2859) = c_Groups_Ouminus__class_Ouminus(_u2858, _u2859)) )).
% 15.12/15.31 cnf(matrix-1619, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u2860) | c_Orderings_Oord__class_Oless__eq(_u2860, c_Groups_Ouminus__class_Ouminus(_u2860, c_Groups_Oabs__class_Oabs(_u2860, _u2861)), c_Groups_Ozero__class_Ozero(_u2860)) )).
% 15.12/15.31 cnf(matrix-1620, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u2862) | ~c_Orderings_Oord__class_Oless(_u2862, _u2863, c_Groups_Ozero__class_Ozero(_u2862)) | ( c_Groups_Oabs__class_Oabs(_u2862, _u2863) = c_Groups_Ouminus__class_Ouminus(_u2862, _u2863)) )).
% 15.12/15.31 cnf(matrix-1621, plain, ( ~class_Groups_Oabs__if(_u2864) | ~c_Orderings_Oord__class_Oless(_u2864, _u2865, c_Groups_Ozero__class_Ozero(_u2864)) | ( c_Groups_Oabs__class_Oabs(_u2864, _u2865) = c_Groups_Ouminus__class_Ouminus(_u2864, _u2865)) )).
% 15.12/15.31 cnf(matrix-1622, plain, ( ~class_Groups_Oabs__if(_u2864) | c_Orderings_Oord__class_Oless(_u2864, _u2865, c_Groups_Ozero__class_Ozero(_u2864)) | ( c_Groups_Oabs__class_Oabs(_u2864, _u2865) = _u2865) )).
% 15.12/15.31 cnf(matrix-1623, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u2866) | ~c_Orderings_Oord__class_Oless(_u2866, c_Groups_Ozero__class_Ozero(_u2866), _u2867) | ( c_Rings_Oinverse__class_Odivide(_u2866, c_Groups_Oabs__class_Oabs(_u2866, _u2868), _u2867) = c_Groups_Oabs__class_Oabs(_u2866, c_Rings_Oinverse__class_Odivide(_u2866, _u2868, _u2867))) )).
% 15.12/15.31 cnf(matrix-1624, plain, ( ~class_Rings_Olinordered__idom(_u2869) | ( c_Groups_Oabs__class_Oabs(_u2869, c_Groups_Oone__class_Oone(_u2869)) = c_Groups_Oone__class_Oone(_u2869)) )).
% 15.12/15.31 cnf(matrix-1625, plain, ( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, _u2870) = c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, _u2870, c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, _u2870))) )).
% 15.12/15.31 cnf(matrix-1626, plain, ( ~class_Rings_Olinordered__idom(_u2871) | ~c_Orderings_Oord__class_Oless(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2872), _u2873) | ~c_Orderings_Oord__class_Oless(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2874), _u2875) | c_Orderings_Oord__class_Oless(_u2871, hAPP(c_Groups_Otimes__class_Otimes(_u2871, c_Groups_Oabs__class_Oabs(_u2871, _u2872)), c_Groups_Oabs__class_Oabs(_u2871, _u2874)), hAPP(c_Groups_Otimes__class_Otimes(_u2871, _u2873), _u2875)) )).
% 15.12/15.31 cnf(matrix-1627, plain, ( ~class_Lattices_Oboolean__algebra(_u2876) | class_Lattices_Oboolean__algebra(tc_fun(_u2877, _u2876)) )).
% 15.12/15.31 cnf(matrix-1628, plain, ( ~class_Orderings_Opreorder(_u2878) | class_Orderings_Opreorder(tc_fun(_u2879, _u2878)) )).
% 15.12/15.31 cnf(matrix-1629, plain, ( ~class_Orderings_Oorder(_u2880) | class_Orderings_Oorder(tc_fun(_u2881, _u2880)) )).
% 15.12/15.31 cnf(matrix-1630, plain, ( ~class_Orderings_Oord(_u2882) | class_Orderings_Oord(tc_fun(_u2883, _u2882)) )).
% 15.12/15.31 cnf(matrix-1631, plain, ( ~class_Groups_Ouminus(_u2884) | class_Groups_Ouminus(tc_fun(_u2885, _u2884)) )).
% 15.12/15.31 cnf(matrix-1632, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1633, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1634, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1635, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1636, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1637, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1638, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1639, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1640, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1641, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1642, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1643, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1644, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1645, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1646, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1647, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1648, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1649, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1650, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1651, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1652, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1653, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1654, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1655, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1656, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1657, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1658, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1659, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1660, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1661, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1662, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1663, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1664, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1665, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1666, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1667, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1668, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1669, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1670, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1671, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1672, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1673, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1674, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1675, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1676, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1677, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1678, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1679, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1680, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1681, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1682, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1683, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1684, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1685, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1686, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1687, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1688, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1689, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1690, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 15.12/15.31 cnf(matrix-1691, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1692, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1693, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1694, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1695, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1696, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1697, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1698, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1699, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1700, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1701, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1702, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1703, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1704, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1705, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1706, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1707, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1708, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1709, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1710, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1711, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1712, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1713, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1714, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1715, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1716, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1717, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1718, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1719, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1720, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1721, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1722, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1723, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1724, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1725, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1726, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 15.12/15.31 cnf(matrix-1727, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 15.12/15.31 cnf(matrix-1728, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 15.12/15.31 cnf(matrix-1729, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 15.12/15.31 cnf(matrix-1730, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 15.12/15.31 cnf(matrix-1731, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 15.12/15.31 cnf(matrix-1732, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1733, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1734, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1735, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1736, plain, ( class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1737, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1738, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1739, plain, ( class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1740, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1741, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1742, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1743, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1744, plain, ( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1745, plain, ( class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1746, plain, ( class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1747, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1748, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1749, plain, ( class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1750, plain, ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1751, plain, ( class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1752, plain, ( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1753, plain, ( class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1754, plain, ( class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1755, plain, ( class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1756, plain, ( class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1757, plain, ( class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1758, plain, ( class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1759, plain, ( class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1760, plain, ( class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1761, plain, ( class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1762, plain, ( class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1763, plain, ( class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1764, plain, ( class_Fields_Olinordered__field(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1765, plain, ( class_Rings_Oordered__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1766, plain, ( class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1767, plain, ( class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1768, plain, ( class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1769, plain, ( class_Rings_Olinordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1770, plain, ( class_Rings_Olinordered__idom(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1771, plain, ( class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1772, plain, ( class_Rings_Odivision__ring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1773, plain, ( class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1774, plain, ( class_Groups_Oab__group__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1775, plain, ( class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1776, plain, ( class_Rings_Oordered__ring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1777, plain, ( class_Orderings_Opreorder(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1778, plain, ( class_Orderings_Olinorder(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1779, plain, ( class_Groups_Omonoid__mult(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1780, plain, ( class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1781, plain, ( class_Groups_Omonoid__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1782, plain, ( class_Rings_Osemiring__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1783, plain, ( class_Rings_Osemiring__0(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1784, plain, ( class_Groups_Ogroup__add(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1785, plain, ( class_Rings_Omult__zero(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1786, plain, ( class_Orderings_Oorder(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1787, plain, ( class_Int_Oring__char__0(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1788, plain, ( class_Int_Onumber__ring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1789, plain, ( class_Rings_Osemiring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1790, plain, ( class_Orderings_Oord(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1791, plain, ( class_Groups_Ouminus(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1792, plain, ( class_Groups_Osgn__if(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1793, plain, ( class_Groups_Oabs__if(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1794, plain, ( class_Rings_Oring__1(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1795, plain, ( class_Fields_Ofield(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1796, plain, ( class_Power_Opower(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1797, plain, ( class_Groups_Ozero(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1798, plain, ( class_SEQ_Obanach(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1799, plain, ( class_Rings_Oring(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1800, plain, ( class_Rings_Oidom(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1801, plain, ( class_Int_Onumber(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1802, plain, ( class_Groups_Oone(tc_RealDef_Oreal) )).
% 15.12/15.31 cnf(matrix-1803, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1804, plain, ( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1805, plain, ( class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1806, plain, ( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1807, plain, ( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1808, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1809, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1810, plain, ( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1811, plain, ( class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1812, plain, ( class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1813, plain, ( class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1814, plain, ( class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1815, plain, ( class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1816, plain, ( class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1817, plain, ( class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1818, plain, ( class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1819, plain, ( class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1820, plain, ( class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1821, plain, ( class_Rings_Odivision__ring(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1822, plain, ( class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1823, plain, ( class_Groups_Oab__group__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1824, plain, ( class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1825, plain, ( class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1826, plain, ( class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1827, plain, ( class_Groups_Omonoid__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1828, plain, ( class_Rings_Osemiring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1829, plain, ( class_Rings_Osemiring__0(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1830, plain, ( class_Groups_Ogroup__add(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1831, plain, ( class_Rings_Omult__zero(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1832, plain, ( class_Int_Oring__char__0(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1833, plain, ( class_Int_Onumber__ring(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1834, plain, ( class_Rings_Osemiring(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1835, plain, ( class_Groups_Ouminus(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1836, plain, ( class_Rings_Oring__1(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1837, plain, ( class_Fields_Ofield(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1838, plain, ( class_Power_Opower(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1839, plain, ( class_Groups_Ozero(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1840, plain, ( class_SEQ_Obanach(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1841, plain, ( class_Rings_Oring(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1842, plain, ( class_Rings_Oidom(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1843, plain, ( class_Int_Onumber(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1844, plain, ( class_Groups_Oone(tc_Complex_Ocomplex) )).
% 15.12/15.31 cnf(matrix-1845, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1846, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1847, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1848, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1849, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1850, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1851, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1852, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1853, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1854, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1855, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1856, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1857, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1858, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1859, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1860, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1861, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1862, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1863, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1864, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1865, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1866, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1867, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1868, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1869, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1870, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1871, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1872, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1873, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1874, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1875, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1876, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1877, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1878, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1879, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 15.12/15.31 cnf(matrix-1880, plain, ( ~c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v_da____), v_m____), v_e) )).
% 15.12/15.31
% 15.12/15.31 % Proof stack:
% 15.12/15.31 cnf(proof-stack, plain,
% 15.12/15.31 proof_stack(
% 15.12/15.31 start(1880),
% 15.12/15.31 left_branch(0, 178, 3, 2),
% 15.12/15.31 left_branch(0, 1736, 0, 3),
% 15.12/15.31 right_branch(3),
% 15.12/15.31 left_branch(0, 111, 0, 4),
% 15.12/15.31 right_branch(4),
% 15.12/15.31 left_branch(0, 112, 0, 5),
% 15.12/15.31 right_branch(5),
% 15.12/15.31 right_branch(2)
% 15.12/15.31 )).
% 15.12/15.31 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------