%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : ALG376-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n015.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 Jun 24 03:41:31 EDT 2024 % Result : Unsatisfiable 1.04s 1.33s % Output : CNFRefutation 1.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ALG376-1 : TPTP v8.2.0. Released v4.1.0. % 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n015.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Wed Jun 19 16:16:53 EDT 2024 % 0.13/0.35 % CPUTime : % 0.22/0.58 start to proof:theBenchmark % 1.02/1.23 %------------------------------------------- % 1.02/1.23 % File :CSE---1.7 % 1.02/1.23 % Problem :theBenchmark % 1.02/1.23 % Transform :cnf % 1.02/1.23 % Format :tptp:raw % 1.02/1.23 % Command :java -jar mcs_scs.jar %d %s % 1.02/1.23 % 1.02/1.23 % Result :Theorem 0.110000s % 1.02/1.23 % Output :CNFRefutation 0.110000s % 1.02/1.23 %------------------------------------------- % 1.02/1.24 %------------------------------------------------------------------------------ % 1.02/1.24 % File : ALG376-1 : TPTP v8.2.0. Released v4.1.0. % 1.02/1.24 % Domain : General Algebra % 1.02/1.24 % Problem : Fundamental theorem of algebra 0432_51 % 1.02/1.24 % Version : Especial. % 1.02/1.24 % English : % 1.02/1.24 % 1.02/1.24 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.02/1.24 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.02/1.24 % Source : [Nip10] % 1.02/1.24 % Names : Fundamental_Theorem_Algebra-0432_51 [Nip10] % 1.02/1.24 % 1.02/1.24 % Status : Unsatisfiable % 1.02/1.24 % Rating : 0.10 v8.1.0, 0.16 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.40 v5.5.0, 0.70 v5.4.0, 0.65 v5.3.0, 0.67 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.57 v4.1.0 % 1.02/1.24 % Syntax : Number of clauses : 1242 ( 280 unt; 200 nHn; 841 RR) % 1.02/1.24 % Number of literals : 3641 ( 630 equ;2203 neg) % 1.02/1.24 % Maximal clause size : 7 ( 2 avg) % 1.02/1.24 % Maximal term depth : 7 ( 1 avg) % 1.02/1.24 % Number of predicates : 67 ( 66 usr; 0 prp; 1-3 aty) % 1.02/1.24 % Number of functors : 40 ( 40 usr; 14 con; 0-3 aty) % 1.02/1.24 % Number of variables : 2983 ( 111 sgn) % 1.02/1.24 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.02/1.24 % 1.02/1.24 % Comments : % 1.02/1.24 %------------------------------------------------------------------------------ % 1.02/1.24 cnf(cls_mult__mono1_0,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 1.02/1.24 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.02/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.02/1.24 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_inverse__negative__imp__negative_0,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.02/1.24 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_real__sqrt__eq__iff_0,axiom, % 1.02/1.24 ( c_NthRoot_Osqrt(V_x) != c_NthRoot_Osqrt(V_y) % 1.02/1.24 | V_x = V_y ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_real__sqrt__ge__zero_0,axiom, % 1.02/1.24 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 1.02/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_real__sqrt__ge__0__iff_0,axiom, % 1.02/1.24 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.02/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_real__sqrt__ge__0__iff_1,axiom, % 1.02/1.24 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.02/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_mult__pos__neg2_0,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.02/1.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_mult__pos__neg_0,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.02/1.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_mult__neg__pos_0,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.02/1.24 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.02/1.24 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_mult__le__0__iff_3,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.02/1.24 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.02/1.24 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.02/1.24 % 1.02/1.24 cnf(cls_mult__le__0__iff_2,axiom, % 1.02/1.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.02/1.24 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.02/1.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_mult__le__0__iff_1,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.24 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.24 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_mult__le__0__iff_0,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.24 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.24 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_tan__npi_0,axiom, % 1.04/1.24 c_Transcendental_Otan(c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(V_n,tc_nat),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_neg__le__0__iff__le_1,axiom, % 1.04/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.24 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_neg__le__0__iff__le_0,axiom, % 1.04/1.24 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.24 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_one__less__inverse__iff_0,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_divide__le__eq__number__of_9,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.24 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.24 | ~ class_Int_Onumber(T_a) % 1.04/1.24 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.24 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_mult__left__idem_0,axiom, % 1.04/1.24 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.04/1.24 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_real__add__le__0__iff_0,axiom, % 1.04/1.24 ( c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.24 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_real__add__le__0__iff_1,axiom, % 1.04/1.24 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.24 | ~ c_lessequals(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_abs__eq__mult_3,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.04/1.24 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 1.04/1.24 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.24 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.24 cnf(cls_abs__eq__mult_2,axiom, % 1.04/1.24 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.04/1.24 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 1.04/1.24 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.24 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.24 % 1.04/1.25 cnf(cls_abs__eq__mult_1,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.04/1.25 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_abs__eq__mult_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Opordered__ring__abs(T_a) % 1.04/1.25 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__add__left__mono_0,axiom, % 1.04/1.25 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_z,V_x,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.25 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_abs__of__nonneg_0,axiom, % 1.04/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.25 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_arctan__zero__zero_0,axiom, % 1.04/1.25 c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_order__antisym__conv_0,axiom, % 1.04/1.25 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.25 | V_x = V_y % 1.04/1.25 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.25 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_le__antisym_0,axiom, % 1.04/1.25 ( V_m = V_n % 1.04/1.25 | ~ c_lessequals(V_n,V_m,tc_nat) % 1.04/1.25 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_order__eq__iff_2,axiom, % 1.04/1.25 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.25 | V_x = V_y % 1.04/1.25 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.25 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_order__antisym_0,axiom, % 1.04/1.25 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.25 | V_x = V_y % 1.04/1.25 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.25 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__le__antisym_0,axiom, % 1.04/1.25 ( V_z = V_w % 1.04/1.25 | ~ c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.04/1.25 | ~ c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__sqrt__not__eq__zero_0,axiom, % 1.04/1.25 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_eq__divide__imp_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.25 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_divide__eq__imp_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.25 | V_c = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_eq__divide__eq_3,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) % 1.04/1.25 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_divide__eq__eq_3,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a) = V_a % 1.04/1.25 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_divide__le__0__1__iff_1,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_divide__le__0__1__iff_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_abs__le__zero__iff_0,axiom, % 1.04/1.25 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.25 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_inverse__less__1__iff_1,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_le__divide__eq_8,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_divide__le__eq_8,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.25 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.25 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_one__neq__zero_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.04/1.25 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_zero__less__mult__pos2_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_zero__less__mult__pos_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__pos__pos_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__neg__neg_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__mult__order_0,axiom, % 1.04/1.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__eq__0__iff_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_no__zero__divisors_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_no__zero__divirors__neq0_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__of__nat__inject_0,axiom, % 1.04/1.25 ( c_RealDef_Oreal(V_n,tc_nat) != c_RealDef_Oreal(V_m,tc_nat) % 1.04/1.25 | V_n = V_m ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 1.04/1.25 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.25 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.25 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 1.04/1.25 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.25 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.25 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__less__imp__less__right_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__less__imp__less__left_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__right__less__imp__less_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__left__less__imp__less_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 1.04/1.25 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__left__mono_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__right__mono_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.25 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__left__mono__neg_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__right__mono__neg_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.25 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.25 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.25 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.25 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a) % 1.04/1.25 | V_c = V_d % 1.04/1.25 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__sum__squares__cancel_0,axiom, % 1.04/1.25 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.25 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_real__sum__squares__cancel2_0,axiom, % 1.04/1.25 ( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.25 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.25 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.25 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.25 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_inverse__unique_0,axiom, % 1.04/1.25 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.25 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.04/1.25 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = V_b ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_lemma__tan__total1_2,axiom, % 1.04/1.25 c_Transcendental_Otan(c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1(V_y)) = V_y ). % 1.04/1.25 % 1.04/1.25 cnf(cls_lemma__interval__lt_0,axiom, % 1.04/1.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1(V_a,V_b,V_x),tc_RealDef_Oreal) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_x,V_b,tc_RealDef_Oreal) % 1.04/1.25 | ~ c_HOL_Oord__class_Oless(V_a,V_x,tc_RealDef_Oreal) ) ). % 1.04/1.25 % 1.04/1.25 cnf(cls_mult__idem_0,axiom, % 1.04/1.26 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__strict__mono_H_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.26 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.26 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.26 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_inverse__eq__iff__eq_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 1.04/1.26 | V_a = V_b ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_nonzero__inverse__eq__imp__eq_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Oinverse__class_Oinverse(V_b,T_a) % 1.04/1.26 | V_a = V_b % 1.04/1.26 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_inverse__nonzero__iff__nonzero_1,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_inverse__zero_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_rp_0,axiom, % 1.04/1.26 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_divide__right__mono_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_divide__right__mono__neg_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_split__mult__pos__le_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_split__mult__pos__le_1,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__nonpos__nonpos_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__square_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_4,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_5,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__nonneg__nonneg_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_right__inverse__eq_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.04/1.26 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.26 | V_a = V_b ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__ring_Oneg__mul_0,axiom, % 1.04/1.26 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.26 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 1.04/1.26 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_real__mult__assoc_0,axiom, % 1.04/1.26 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_class__semiring_Omul__a_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_real__add__mult__distrib_0,axiom, % 1.04/1.26 c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_one__le__inverse__iff_2,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.26 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_1,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_2,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_zero__le__mult__iff_3,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_nonzero__inverse__eq__divide_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.26 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 1.04/1.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_field__inverse_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.04/1.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_left__inverse_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.04/1.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_right__inverse_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.26 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) % 1.04/1.26 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__mono_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.26 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.26 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__mono_H_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.26 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.26 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_norm__ge__zero_0,axiom, % 1.04/1.26 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.26 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.26 % 1.04/1.26 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 1.04/1.26 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.26 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.26 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.26 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom, % 1.04/1.27 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__zero_0,axiom, % 1.04/1.27 c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_one__less__inverse__iff_1,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__add_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.27 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 1.04/1.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_division__ring__inverse__add_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.27 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 1.04/1.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sum__squares__cancel__a_0,axiom, % 1.04/1.27 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.27 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sum__squares__cancel__a_1,axiom, % 1.04/1.27 ( c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.27 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_Deriv_Oinverse__diff__inverse_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.27 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a) % 1.04/1.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__left__le__one__le_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),V_x,T_a) % 1.04/1.27 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__right__le__one__le_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_x,T_a) % 1.04/1.27 | ~ c_lessequals(V_y,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_not__square__less__zero_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__le__0__iff_4,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__le__0__iff_5,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_split__mult__neg__le_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_split__mult__neg__le_1,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__nonneg__nonpos_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__nonpos__nonneg_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__mult__distrib_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_nonzero__inverse__mult__distrib_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.27 | c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.27 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_abs__le__zero__iff_1,axiom, % 1.04/1.27 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_nonzero__inverse__inverse__eq_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.27 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_divide__le__eq_5,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_divide__le__eq_7,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_le__divide__eq_5,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_le__divide__eq_7,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_zero__neq__one_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.04/1.27 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__gt__0__iff_1,axiom, % 1.04/1.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__gt__0__iff_0,axiom, % 1.04/1.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__gt__zero_0,axiom, % 1.04/1.27 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_neg__0__le__iff__le_0,axiom, % 1.04/1.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.27 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_neg__0__le__iff__le_1,axiom, % 1.04/1.27 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_scaleR__eq__0__iff_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.27 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult_OscaleR__left_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__left_OscaleR_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult_OscaleR__right_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__right_OscaleR_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__scaleR__left_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__scaleR__right_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__algebra(T_a) % 1.04/1.27 | c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_nonzero__abs__inverse_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_pi__neq__zero_0,axiom, % 1.04/1.27 c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__positive__imp__positive_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.27 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__sqrt__eq__zero__cancel_0,axiom, % 1.04/1.27 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.27 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__less__imp__less_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_less__imp__inverse__less_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__less__imp__less__neg_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_less__imp__inverse__less__neg_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_add__nonneg__nonneg_0,axiom, % 1.04/1.27 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__imp__le__div__pos_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_lessequals(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_mult__imp__div__pos__le_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 1.04/1.27 | ~ c_lessequals(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_le__divide__eq_6,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_le__divide__eq_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.27 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_divide__le__eq_6,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.27 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_divide__le__eq_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.27 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__add__minus__iff_0,axiom, % 1.04/1.27 ( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.27 | V_x = V_a ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_inverse__le__1__iff_1,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.27 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_norm__mult__ineq_0,axiom, % 1.04/1.27 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.27 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_sum__squares__ge__zero_0,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_real__mult__self__sum__ge__zero_0,axiom, % 1.04/1.27 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_arctan__monotone_H_0,axiom, % 1.04/1.27 ( c_lessequals(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 1.04/1.27 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.27 % 1.04/1.27 cnf(cls_zero__le__divide__1__iff_1,axiom, % 1.04/1.27 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.27 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.27 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 1.04/1.27 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__1__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_5,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_add__increasing2_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.28 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_add__increasing_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.28 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,V_c,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_norm__eq__zero_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_Onorm__class_Onorm(V_x,T_a) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_norm__le__zero__iff_1,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_abs__le__mult_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Olordered__ring(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__strict__mono_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__eq__divide_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__fieldgb_Oinverse__divide_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_norm__le__zero__iff_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__left__mono__neg_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__left__mono_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_not__real__of__nat__less__zero_0,axiom, % 1.04/1.28 ~ c_HOL_Oord__class_Oless(c_RealDef_Oreal(V_n,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__1__right_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__1__left_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__1_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Omul__1_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a) = V_x ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I12_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I11_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_arctan_2,axiom, % 1.04/1.28 c_Transcendental_Otan(c_Transcendental_Oarctan(V_y)) = V_y ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__inverse__eq_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = V_a ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__lt__0__iff_0,axiom, % 1.04/1.28 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__lt__0__iff_1,axiom, % 1.04/1.28 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Omul__c_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__commute_0,axiom, % 1.04/1.28 c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zadd__assoc_0,axiom, % 1.04/1.28 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_Int_Oint),V_z3,tc_Int_Oint) = c_HOL_Oplus__class_Oplus(V_z1,c_HOL_Oplus__class_Oplus(V_z2,V_z3,tc_Int_Oint),tc_Int_Oint) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zadd__left__commute_0,axiom, % 1.04/1.28 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_Int_Oint),tc_Int_Oint) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_Int_Oint),tc_Int_Oint) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_tan__total_2,axiom, % 1.04/1.28 c_Transcendental_Otan(c_Transcendental_Osko__Transcendental__Xtan__total__1__1(V_y)) = V_y ). % 1.04/1.28 % 1.04/1.28 cnf(cls_pi__not__less__zero_0,axiom, % 1.04/1.28 ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_right__inverse__eq_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__self_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.04/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__self__if_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a) = c_HOL_Oone__class_Oone(T_a) % 1.04/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_3,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_2,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_1,axiom, % 1.04/1.28 ( c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_0,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.28 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__le__1__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 1.04/1.28 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__right__le__imp__le_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_lessequals(V_a,V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__left__le__imp__le_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_lessequals(V_a,V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_lessequals(V_a,V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_lessequals(V_b,V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__le__cancel__iff2_1,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__le__cancel__iff2_0,axiom, % 1.04/1.28 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__le__cancel__iff1_1,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__le__cancel__iff1_0,axiom, % 1.04/1.28 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__of__nat__add_0,axiom, % 1.04/1.28 c_RealDef_Oreal(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(c_RealDef_Oreal(V_m,tc_nat),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__vector_Oscale__scale_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Otimes__class_Otimes(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_one__le__inverse__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR_Ozero__right_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR_Ozero__left_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR__eq__0__iff_2,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR__eq__0__iff_1,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__add__eq__0__iff_1,axiom, % 1.04/1.28 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__of__nat__ge__zero_0,axiom, % 1.04/1.28 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(V_n,tc_nat),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_d_I1_J_0,axiom, % 1.04/1.28 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d____,tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__mult_0,axiom, % 1.04/1.28 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__nonpositive__iff__nonpositive_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__nonpositive__iff__nonpositive_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__le__0__iff_0,axiom, % 1.04/1.28 ( c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__le__0__iff_1,axiom, % 1.04/1.28 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_nonzero__number__of__Min_0,axiom, % 1.04/1.28 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.28 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__eq__1__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(V_x,T_a) != c_HOL_Oone__class_Oone(T_a) % 1.04/1.28 | V_x = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__less__1__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) % 1.04/1.28 | c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_positive__imp__inverse__positive_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__positive__iff__positive_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__positive__iff__positive_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sum__square__gt__zero2_0,axiom, % 1.04/1.28 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | V_y = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sum__square__gt__zero_0,axiom, % 1.04/1.28 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__vector_Oscale__left__distrib_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR__left_Oadd_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),c_RealVector_OscaleR__class_OscaleR(V_y,V_xa,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR_Oadd__left_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Oplus__class_Oplus(V_a,V_a_H,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a_H,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__minus__mult__self__le_0,axiom, % 1.04/1.28 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__real__sqrt__sumsq_0,axiom, % 1.04/1.28 c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__divide__mult__cancel__right_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__divide__mult__cancel__left_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_tan__periodic__n_0,axiom, % 1.04/1.28 c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_n,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__le__iff_1,axiom, % 1.04/1.28 ( c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__le__iff_0,axiom, % 1.04/1.28 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_rabs__ratiotest__lemma_0,axiom, % 1.04/1.28 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_c,c_HOL_Oabs__class_Oabs(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__nonnegative__iff__nonnegative_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__nonnegative__iff__nonnegative_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__eq__0__iff_0,axiom, % 1.04/1.28 ( c_NthRoot_Osqrt(V_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__minus__self__iff_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__minus__self__iff_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_minus__le__self__iff_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_minus__le__self__iff_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_less__eq__neg__nonpos_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_less__eq__neg__nonpos_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_neg__less__eq__nonneg_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_neg__less__eq__nonneg_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_tan__zero_0,axiom, % 1.04/1.28 c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR_OscaleR__right_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR__left__commute_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_scaleR__right_OscaleR_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_not__real__square__gt__zero_1,axiom, % 1.04/1.28 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zadd__commute_0,axiom, % 1.04/1.28 c_HOL_Oplus__class_Oplus(V_z,V_w,tc_Int_Oint) = c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Int_Oint) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_2,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__0__iff_3,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_norm__zero_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.28 | c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__le__imp__le_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_lessequals(V_b,V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__imp__inverse__le_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__le__imp__le__neg_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_lessequals(V_b,V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__imp__inverse__le__neg_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_b,T_a),c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_norm__mult_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__div__algebra(T_a) % 1.04/1.28 | c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__left__cancel_0,axiom, % 1.04/1.28 ( c_HOL_Otimes__class_Otimes(V_c,V_a,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_c,V_b,tc_RealDef_Oreal) % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | V_a = V_b ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__mult__right__cancel_0,axiom, % 1.04/1.28 ( c_HOL_Otimes__class_Otimes(V_a,V_c,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(V_b,V_c,tc_RealDef_Oreal) % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | V_a = V_b ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__le__1__iff_2,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I4_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Oplus__class_Oplus(V_m,V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_eq__divide__eq_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__add__eq__0__iff_0,axiom, % 1.04/1.28 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.28 | V_y = c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__of__nat__le__iff_0,axiom, % 1.04/1.28 ( c_lessequals(V_n,V_m,tc_nat) % 1.04/1.28 | ~ c_lessequals(c_RealDef_Oreal(V_n,tc_nat),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__of__nat__le__iff_1,axiom, % 1.04/1.28 ( c_lessequals(c_RealDef_Oreal(V_n,tc_nat),c_RealDef_Oreal(V_m,tc_nat),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_not__one__less__zero_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_nonzero__inverse__minus__eq_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) % 1.04/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__eq__eq_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_eq__divide__eq_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a) = V_b % 1.04/1.28 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__one_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__left_Ozero_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult_Ozero__left_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult_Ozero__right_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__right_Ozero_0,axiom, % 1.04/1.28 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Omul__0_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__zero__left_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__zero__right_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__eq__0__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__eq__0__iff_2,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I2_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__semiring_Osemiring__rules_I3_J_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.28 | c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_iszero__def_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.04/1.28 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | ~ c_Int_Oiszero(V_z,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_abs__mult__pos_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.28 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_y,T_a),V_x,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_y,V_x,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_one__le__inverse__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_not__one__le__zero_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__negative__iff__negative_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__negative__iff__negative_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_negative__imp__inverse__negative_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__le__eq__diff_1,axiom, % 1.04/1.28 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__le__eq__diff_0,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__iff__diff__le__0_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__iff__diff__le__0_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__eq__1__iff_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_one__less__inverse__iff_2,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Oinverse__class_Oinverse(V_x,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__1_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_2,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_3,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_4,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__0__le__divide__iff_5,axiom, % 1.04/1.28 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_y,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__le__divide__iff_5,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_tan__periodic__pi_0,axiom, % 1.04/1.28 c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_zero__less__one_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__nonzero__iff__nonzero_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_inverse__zero__imp__zero_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Oinverse(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.28 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__le__less__imp__less_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.28 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__less__le__imp__less_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.28 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__inverse_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_class__fieldgb_Odivide__inverse_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.28 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.28 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oinverse__class_Oinverse(V_y,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_iszero__0_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.04/1.28 | c_Int_Oiszero(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_tan__pi_0,axiom, % 1.04/1.28 c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 1.04/1.28 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__sqrt__abs2_0,axiom, % 1.04/1.28 c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__divide__eq__number__of_9,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | ~ class_Int_Onumber(T_a) % 1.04/1.28 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__eq_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_divide__le__eq_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__divide__eq_1,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_le__divide__eq_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.28 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.28 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_pi__ge__zero_0,axiom, % 1.04/1.28 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_order__eq__refl_0,axiom, % 1.04/1.28 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.28 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_order__eq__iff_0,axiom, % 1.04/1.28 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.28 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_real__le__trans_0,axiom, % 1.04/1.28 ( c_lessequals(V_i,V_k,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_j,V_k,tc_RealDef_Oreal) % 1.04/1.28 | ~ c_lessequals(V_i,V_j,tc_RealDef_Oreal) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__strict__right__mono_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.28 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.28 % 1.04/1.28 cnf(cls_mult__strict__left__mono_0,axiom, % 1.04/1.28 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 1.04/1.28 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_real__mult__less__mono2_0,axiom, % 1.04/1.29 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_real__mult__less__iff1_1,axiom, % 1.04/1.29 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_real__mult__less__iff1_0,axiom, % 1.04/1.29 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_x,V_z,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_real__0__le__add__iff_0,axiom, % 1.04/1.29 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_real__0__le__add__iff_1,axiom, % 1.04/1.29 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.29 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_tan__periodic__nat_0,axiom, % 1.04/1.29 c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_RealDef_Oreal(V_n,tc_nat),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_le__divide__eq_9,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.29 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.29 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_divide__le__eq_9,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.29 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.29 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.29 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.29 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_less__1__mult_0,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Otimes__class_Otimes(V_m,V_n,T_a),T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_n,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_m,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_xt1_I7_J_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.29 | ~ c_lessequals(V_z,V_y,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_xt1_I8_J_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.04/1.29 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__less__le__trans_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.29 | ~ c_lessequals(V_y,V_z,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__le__less__trans_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.04/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__less__imp__le_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.29 | c_lessequals(V_x,V_y,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__le__less_1,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_lessequals(V_x,V_y,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_less__le__not__le_2,axiom, % 1.04/1.29 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.29 | c_lessequals(V_y,V_x,T_a) % 1.04/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 1.04/1.29 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_xt1_I11_J_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | V_a = V_b % 1.04/1.29 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_xt1_I12_J_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.29 | ~ c_lessequals(V_b,V_a,T_a) % 1.04/1.29 | V_a = V_b ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.29 | V_x = V_y % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.29 | V_x = V_y % 1.04/1.29 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__neq__le__trans_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | ~ c_lessequals(V_a,V_b,T_a) % 1.04/1.29 | V_a = V_b ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__le__neq__trans_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.29 | V_a = V_b % 1.04/1.29 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__le__less_0,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | V_x = V_y % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.29 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.29 % 1.04/1.29 cnf(cls_order__less__le_2,axiom, % 1.04/1.29 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.29 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.30 | V_x = V_y % 1.04/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__le__not__le_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.30 | ~ c_lessequals(V_y,V_x,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_not__leE_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.30 | c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | ~ c_lessequals(V_x,V_x,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 1.04/1.30 | c_lessequals(V_x,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__not__less_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.30 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__not__less_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | c_lessequals(V_y,V_x,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__not__le_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.30 | c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__not__le_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__strict__increasing_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__pos__nonneg_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__nonneg__pos_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_zero__less__two_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__nonpos__neg_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__neg__nonpos_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__strict__increasing2_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 1.04/1.30 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a),T_a) % 1.04/1.30 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__add__right__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) % 1.04/1.30 | V_y = V_z % 1.04/1.30 | V_w = V_x ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 1.04/1.30 | V_c = V_d % 1.04/1.30 | V_a = V_b ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Omul__d_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult_Oadd__left_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__left_Oadd_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult_Oadd__right_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__right_Oadd_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__le__cancel__right_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__le__cancel__right_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | c_lessequals(V_a,V_b,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__le__cancel__left_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__le__cancel__left_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.30 | c_lessequals(V_a,V_b,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__right__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__left__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_double__eq__0__iff_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 1.04/1.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_double__eq__0__iff_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_combine__common__factor_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR__right_Oadd_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR_Oadd__right_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__0__left_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Oadd__0_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_real__le__refl_0,axiom, % 1.04/1.30 c_lessequals(V_w,V_w,tc_RealDef_Oreal) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_eq__imp__le_0,axiom, % 1.04/1.30 c_lessequals(V_x,V_x,tc_nat) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__trans_0,axiom, % 1.04/1.30 ( c_lessequals(V_i,V_k,tc_nat) % 1.04/1.30 | ~ c_lessequals(V_j,V_k,tc_nat) % 1.04/1.30 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__refl_0,axiom, % 1.04/1.30 c_lessequals(V_n,V_n,tc_nat) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_order__trans_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.30 | c_lessequals(V_x,V_z,T_a) % 1.04/1.30 | ~ c_lessequals(V_y,V_z,T_a) % 1.04/1.30 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__nonpos__nonpos_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_xt1_I6_J_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.30 | c_lessequals(V_z,V_x,T_a) % 1.04/1.30 | ~ c_lessequals(V_z,V_y,T_a) % 1.04/1.30 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_inverse__less__1__iff_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Oinverse(V_x,T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR__cancel__left_1,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,T_a) = c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR__cancel__right_1,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_division__ring__inverse__diff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.30 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a) % 1.04/1.30 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_norm__ratiotest__lemma_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.30 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Otimes__class_Otimes(V_c,c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.30 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR__cancel__left_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a) % 1.04/1.30 | V_a = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.30 | V_x = V_y ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_scaleR__cancel__right_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.30 | c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a) != c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a) % 1.04/1.30 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | V_a = V_b ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_real__two__squares__add__zero__iff_2,axiom, % 1.04/1.30 c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_not__iszero__1_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.04/1.30 | ~ c_Int_Oiszero(c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_not__real__square__gt__zero_0,axiom, % 1.04/1.30 ( V_x = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_pi__gt__zero_0,axiom, % 1.04/1.30 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_frac__eq__eq_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.30 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) != c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) % 1.04/1.30 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) = c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_frac__eq__eq_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(V_x,V_z,T_a) != c_HOL_Otimes__class_Otimes(V_w,V_y,T_a) % 1.04/1.30 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.30 | c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a) = c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_abs__ge__zero_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__eq__eq_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_linorder__linear_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | c_lessequals(V_y,V_x,T_a) % 1.04/1.30 | c_lessequals(V_x,V_y,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_real__le__linear_0,axiom, % 1.04/1.30 ( c_lessequals(V_w,V_z,tc_RealDef_Oreal) % 1.04/1.30 | c_lessequals(V_z,V_w,tc_RealDef_Oreal) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_nat__le__linear_0,axiom, % 1.04/1.30 ( c_lessequals(V_n,V_m,tc_nat) % 1.04/1.30 | c_lessequals(V_m,V_n,tc_nat) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_3,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_3,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_3,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of1_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of1_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq__number__of_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq__number__of_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_3,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_2,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_double__number__of__Bit0_0,axiom, % 1.04/1.30 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_g_I1_J_0,axiom, % 1.04/1.30 c_lessequals(c_RealVector_Onorm__class_Onorm(v_g____(V_n),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_minus1__divide_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_x,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_norm__diff__triangle__ineq_0,axiom, % 1.04/1.30 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.30 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_pi__half__ge__zero_0,axiom, % 1.04/1.30 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_s1_1,axiom, % 1.04/1.30 ( c_lessequals(c_RealVector_Onorm__class_Onorm(v_sko__local__Xs1__1(v_p,v_r,V_y),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__number__of__eq__not__less_0,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__number__of__eq__not__less_1,axiom, % 1.04/1.30 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__le__less__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.30 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__less__le__mono_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_c,V_d,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__neg__neg_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_even__less__0__iff_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_even__less__0__iff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__add__one_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_pos__add__strict_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__pos__pos_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_number__of__add_0,axiom, % 1.04/1.30 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(V_v,V_w,tc_Int_Oint),T_a) = c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_right__distrib__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__number__of__left_0,axiom, % 1.04/1.30 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(V_v,V_w,tc_Int_Oint),T_a),V_z,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_add__number__of__eq_0,axiom, % 1.04/1.30 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.30 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(V_v,V_w,tc_Int_Oint),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_left__distrib__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Osemiring(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__iff__diff__less__0_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__iff__diff__less__0_1,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_neg__less__0__iff__less_0,axiom, % 1.04/1.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_le__divide__eq__number__of1_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_6,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__le__eq__number__of1_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | ~ class_Int_Onumber(T_a) % 1.04/1.30 | c_lessequals(V_b,c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_zero__less__divide__1__iff_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_zero__less__divide__1__iff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__strict__left__mono__neg_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__strict__left__mono_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_c,V_a,T_a),c_HOL_Oinverse__class_Odivide(V_c,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_frac__le_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_w,V_z,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.30 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq_7,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq_5,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq_4,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__0__1__iff_1,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__0__1__iff_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__nonpos__neg_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__nonneg__pos_0,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_less__divide__eq_8,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.30 % 1.04/1.30 cnf(cls_divide__less__eq_9,axiom, % 1.04/1.30 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.30 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.30 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__eq_8,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_frac__less_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(V_w,V_z,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__nonpos__pos_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.31 | ~ c_lessequals(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__nonneg__neg_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_mult__imp__less__div__pos_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),V_x,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_mult__imp__div__pos__less_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_less__divide__eq_6,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_less__divide__eq_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_b,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__eq_6,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__eq_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_b,c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_frac__less2_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_z,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_w,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_w,V_z,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_w,T_a) % 1.04/1.31 | ~ c_lessequals(V_x,V_y,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__divide__eq_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__divide__eq_2,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_lessequals(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__le__eq_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__le__eq_2,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__add__iff2_1,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__add__iff2_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.31 | c_lessequals(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__add__iff1_1,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__add__iff1_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_number__of__Min_0,axiom, % 1.04/1.31 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_arith__simps_I31_J_0,axiom, % 1.04/1.31 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_mult__minus1_0,axiom, % 1.04/1.31 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),V_z,T_a) = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_mult__minus1__right_0,axiom, % 1.04/1.31 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_HOL_Otimes__class_Otimes(V_z,c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_inverse__eq__divide__number__of_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a) % 1.04/1.31 | V_b = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) % 1.04/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of1_4,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) % 1.04/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of1_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_b % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of1_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | V_b = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) % 1.04/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of_4,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of_4,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),V_c,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a) % 1.04/1.31 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a) = V_b % 1.04/1.31 | V_c = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of1_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | V_a = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__eq__eq__number__of1_3,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = V_a % 1.04/1.31 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__divide__eq__number__of1_4,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | ~ class_Int_Onumber(T_a) % 1.04/1.31 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__eq__neg_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.31 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.04/1.31 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__eq__neg_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.04/1.31 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_add__frac__eq_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 1.04/1.31 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_add__num__frac_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 1.04/1.31 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_add__frac__num_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a) % 1.04/1.31 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_Bit1__Min_0,axiom, % 1.04/1.31 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ). % 1.04/1.31 % 1.04/1.31 cnf(cls_rel__simps_I47_J_0,axiom, % 1.04/1.31 ( c_Int_OBit1(V_k) != c_Int_OMin % 1.04/1.31 | V_k = c_Int_OMin ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_rel__simps_I43_J_0,axiom, % 1.04/1.31 ( c_Int_OMin != c_Int_OBit1(V_l) % 1.04/1.31 | c_Int_OMin = V_l ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_rel__simps_I43_J_1,axiom, % 1.04/1.31 c_Int_OMin = c_Int_OBit1(c_Int_OMin) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_rel__simps_I37_J_0,axiom, % 1.04/1.31 c_Int_OPls != c_Int_OMin ). % 1.04/1.31 % 1.04/1.31 cnf(cls_rel__simps_I40_J_0,axiom, % 1.04/1.31 c_Int_OMin != c_Int_OPls ). % 1.04/1.31 % 1.04/1.31 cnf(cls_add__Pls_0,axiom, % 1.04/1.31 c_HOL_Oplus__class_Oplus(c_Int_OPls,V_k,tc_Int_Oint) = V_k ). % 1.04/1.31 % 1.04/1.31 cnf(cls_add__Pls__right_0,axiom, % 1.04/1.31 c_HOL_Oplus__class_Oplus(V_k,c_Int_OPls,tc_Int_Oint) = V_k ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__eqI_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.04/1.31 | c_lessequals(V_y_H,V_x_H,T_a) % 1.04/1.31 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_le__eqI_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.04/1.31 | c_lessequals(V_y,V_x,T_a) % 1.04/1.31 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_scaleR__right_Odiff_0,axiom, % 1.04/1.31 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.31 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_scaleR_Odiff__right_0,axiom, % 1.04/1.31 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.31 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_right__minus__eq_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_diff__0__right_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_diff__self_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.31 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | V_a = V_b ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_right__minus__eq_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | V_a = V_b ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.31 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.31 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.31 | V_x = V_y ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_neg__less__0__iff__less_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_neg__0__less__iff__less_0,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_neg__0__less__iff__less_1,axiom, % 1.04/1.31 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_less__minus__self__iff_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_less__minus__self__iff_1,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__0__iff_0,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__0__iff_1,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.31 cnf(cls_divide__less__0__iff_2,axiom, % 1.04/1.31 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.31 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.31 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.31 % 1.04/1.32 cnf(cls_divide__less__0__iff_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__eq_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__eq_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_a,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__divide__eq_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__divide__eq_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__neg__neg_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__pos__pos_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_4,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__divide__iff_5,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__strict__right__mono_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__strict__right__mono__neg_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__neg__pos_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__pos__neg_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__0__iff_4,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__0__iff_5,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_iszero__number__of__Bit1_0,axiom, % 1.04/1.32 ( ~ class_Int_Oring__char__0(T_a) % 1.04/1.32 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(V_w),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_iszero__number__of__Pls_0,axiom, % 1.04/1.32 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_number__of__Pls_0,axiom, % 1.04/1.32 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_comp__arith_I112_J_0,axiom, % 1.04/1.32 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_right__diff__distrib__number__of_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(V_b,V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_b,T_a),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_v,T_a),V_c,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_left__diff__distrib__number__of_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__special_I2_J_0,axiom, % 1.04/1.32 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),V_w,tc_Int_Oint),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__special_I3_J_0,axiom, % 1.04/1.32 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Oone__class_Oone(T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(V_v,c_Int_OBit1(c_Int_OPls),tc_Int_Oint),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_iszero__number__of__Bit0_1,axiom, % 1.04/1.32 ( ~ class_Int_Oring__char__0(T_a) % 1.04/1.32 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a),T_a) % 1.04/1.32 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_iszero__number__of__Bit0_0,axiom, % 1.04/1.32 ( ~ class_Int_Oring__char__0(T_a) % 1.04/1.32 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.32 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult_Oprod__diff__prod_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__add__iff2_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__add__iff1_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__add__iff1_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a) = V_d ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__add__iff2_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a) % 1.04/1.32 | V_c = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__divide__eq__number__of1_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__divide__eq__number__of_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__divide__eq__number__of_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__eq__eq__number__of_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_w,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__eq__eq__number__of_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) != c_Int_Onumber__class_Onumber__of(V_w,T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__eq__eq__number__of1_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_Int_Onumber__class_Onumber__of(V_w,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_left__minus_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_right__minus_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_ab__left__minus_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__neg__iff__add__eq__0_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__unique_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) = V_b ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__neg__iff__add__eq__0_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__of__pos_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__mult__less_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_b,T_a),V_d,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_c,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__abs__iff_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) % 1.04/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__not__less__zero_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__if__lattice_1,axiom, % 1.04/1.32 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.32 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__if_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(V_a,T_a) = V_a % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__abs__iff_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__Bit0__Bit1_0,axiom, % 1.04/1.32 c_HOL_Oplus__class_Oplus(c_Int_OBit0(V_k),c_Int_OBit1(V_l),tc_Int_Oint) = c_Int_OBit1(c_HOL_Oplus__class_Oplus(V_k,V_l,tc_Int_Oint)) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__Bit1__Bit0_0,axiom, % 1.04/1.32 c_HOL_Oplus__class_Oplus(c_Int_OBit1(V_k),c_Int_OBit0(V_l),tc_Int_Oint) = c_Int_OBit1(c_HOL_Oplus__class_Oplus(V_k,V_l,tc_Int_Oint)) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_group__add__class_Odiff__0_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__triangle__ineq_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_estimate__by__abs_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_nonzero__minus__divide__right_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.04/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_nonzero__minus__divide__divide_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) % 1.04/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_pi__ge__two_0,axiom, % 1.04/1.32 c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__triangle__ineq3_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__triangle__ineq2_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__gt__zero_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(V_x),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__D2_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__leI_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__iff_2,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__ge__minus__self_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_nonzero__abs__divide_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) % 1.04/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_norm__not__less__zero_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR_Ominus__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__left_Ominus_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__minus__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ouminus__class_Ouminus(V_a,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR_Odiff__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_a_H,tc_RealDef_Oreal),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a_H,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__left_Odiff_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),V_xa,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_xa,T_a),c_RealVector_OscaleR__class_OscaleR(V_y,V_xa,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__left__diff__distrib_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_a,V_b,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__abs__def_1,axiom, % 1.04/1.32 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = V_r % 1.04/1.32 | c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_lemma__MVT_0,axiom, % 1.04/1.32 c_HOL_Ominus__class_Ominus(hAPP(V_f,V_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_b,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__diff__def_0,axiom, % 1.04/1.32 c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_complex__mod__minus__le__complex__mod_0,axiom, % 1.04/1.32 c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__minus__add__cancel_0,axiom, % 1.04/1.32 c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__interval__iff_0,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__interval__iff_2,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(V_x,V_r,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__less__zero_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_Transcendental_Otan(V_x),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__total_3,axiom, % 1.04/1.32 ( ~ c_HOL_Oord__class_Oless(V_ya,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_ya,tc_RealDef_Oreal) % 1.04/1.32 | V_ya = c_Transcendental_Osko__Transcendental__Xtan__total__1__1(c_Transcendental_Otan(V_ya)) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_arctan__tan_0,axiom, % 1.04/1.32 ( c_Transcendental_Oarctan(c_Transcendental_Otan(V_x)) = V_x % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__two__gt__zero_0,axiom, % 1.04/1.32 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__le__add__half__cancel_0,axiom, % 1.04/1.32 ( c_lessequals(V_x,c_HOL_Oinverse__class_Odivide(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oinverse__class_Odivide(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__le__add__half__cancel_1,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oinverse__class_Odivide(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(V_x,c_HOL_Oinverse__class_Odivide(V_y,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_pi__half__le__two_0,axiom, % 1.04/1.32 c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_pi__half__neq__zero_0,axiom, % 1.04/1.32 c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__add__iff1_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__right_Odiff_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult_Odiff__right_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult_Odiff__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__left_Odiff_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__minus__one_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.32 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_rel__simps_I42_J_0,axiom, % 1.04/1.32 c_Int_OMin != c_Int_OBit0(V_l) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_rel__simps_I45_J_0,axiom, % 1.04/1.32 c_Int_OBit0(V_k) != c_Int_OMin ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__Bit0__Bit0_0,axiom, % 1.04/1.32 c_HOL_Oplus__class_Oplus(c_Int_OBit0(V_k),c_Int_OBit0(V_l),tc_Int_Oint) = c_Int_OBit0(c_HOL_Oplus__class_Oplus(V_k,V_l,tc_Int_Oint)) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_Bit0__def_0,axiom, % 1.04/1.32 c_Int_OBit0(V_k) = c_HOL_Oplus__class_Oplus(V_k,V_k,tc_Int_Oint) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_diff__frac__eq_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) % 1.04/1.32 | V_z = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_DERIV__inverse__lemma_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),V_h,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_h,T_a),T_a),c_HOL_Oinverse__class_Oinverse(V_b,T_a),T_a),T_a) % 1.04/1.32 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__equal__zero_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__zero_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__mult__commute_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__0__equal__iff__equal_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__mult__minus_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_square__eq__iff_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__right_Ominus_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult_Ominus__right_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__left_Ominus_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult_Ominus__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__equal__zero_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Oordered__ab__group__add(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != V_a % 1.04/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_inverse__minus__eq_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Odivision__ring(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Oinverse(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__mult__right_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__mult__left_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oring(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__equal__0__iff__equal_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_square__eq__iff_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) != c_HOL_Otimes__class_Otimes(V_b,V_b,T_a) % 1.04/1.32 | V_a = c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 1.04/1.32 | V_a = V_b ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__minus__right_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR_Ominus__right_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__le__iff__le_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(V_a,V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__imp__neg__le_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.32 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_neg__0__equal__iff__equal_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) = V_a ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__le__iff_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_minus__le__iff_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__minus__iff_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.04/1.32 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__minus__iff_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.32 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.32 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_eq__divide__eq_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Ozero__class_Ozero(T_a) = c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide_OscaleR_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a) = c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__self__if_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__1_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = V_a ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_inverse__divide_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Oinverse(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_b,V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__frac__frac_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__zero__left_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__eq__eq_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__zero_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide_Ozero_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.32 | c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_mult__frac__num_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_norm__triangle__ineq_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_x,T_a),c_RealVector_Onorm__class_Onorm(V_y,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__periodic_0,axiom, % 1.04/1.32 c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__less__def_0,axiom, % 1.04/1.32 ( c_lessequals(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_arctan__monotone_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_x),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__less__def_2,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.32 | V_x = V_y % 1.04/1.32 | ~ c_lessequals(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__less__iff_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__less__iff_1,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__minus__le__zero_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__of__nonpos_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.04/1.32 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_norm__triangle__ineq4_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__add1_0,axiom, % 1.04/1.32 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__add2_0,axiom, % 1.04/1.32 c_lessequals(V_n,c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__iff__add_1,axiom, % 1.04/1.32 c_lessequals(V_m,c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat),tc_nat) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_le__Suc__ex__iff_1,axiom, % 1.04/1.32 c_lessequals(V_k,c_HOL_Oplus__class_Oplus(V_k,V_x,tc_nat),tc_nat) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__le__mono_0,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_k,V_l,tc_nat) % 1.04/1.32 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__le__mono1_0,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_nat__add__left__cancel__le_0,axiom, % 1.04/1.32 ( c_lessequals(V_m,V_n,tc_nat) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_nat__add__left__cancel__le_1,axiom, % 1.04/1.32 ( c_lessequals(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 1.04/1.32 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 1.04/1.32 ( c_lessequals(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__leE_0,axiom, % 1.04/1.32 ( c_lessequals(V_m,V_n,tc_nat) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_add__leE_1,axiom, % 1.04/1.32 ( c_lessequals(V_k,V_n,tc_nat) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),V_n,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_trans__le__add1_0,axiom, % 1.04/1.32 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_trans__le__add2_0,axiom, % 1.04/1.32 ( c_lessequals(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 1.04/1.32 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_scaleR__minus1__left_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__vector(T_a) % 1.04/1.32 | c_RealVector_OscaleR__class_OscaleR(c_Int_Onumber__class_Onumber__of(c_Int_OMin,tc_RealDef_Oreal),V_x,T_a) = c_HOL_Ouminus__class_Ouminus(V_x,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_norm__mult__less_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__algebra(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__norm__iff_1,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) % 1.04/1.32 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_zero__less__norm__iff_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(T_a),T_a),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__eq__0_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.04/1.32 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__mult__self_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.32 | c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_a,V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__ge__self_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(V_a,c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__one_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__mult_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__D1_0,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_lessequals(V_a,V_b,T_a) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__eq__0_1,axiom, % 1.04/1.32 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__inverse_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Oinverse(V_a,T_a),T_a) = c_HOL_Oinverse__class_Oinverse(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__add__less__0__iff_1,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__add__less__0__iff_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sum__gt__zero__less_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__less__sum__gt__zero_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_S,c_HOL_Ouminus__class_Ouminus(V_W,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_W,V_S,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__0__less__add__iff_1,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__0__less__add__iff_0,axiom, % 1.04/1.32 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__divide__square__eq_0,axiom, % 1.04/1.32 c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_r,V_a,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_r,V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_a,V_r,tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__divide_0,axiom, % 1.04/1.32 c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__minus_0,axiom, % 1.04/1.32 c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__minus_0,axiom, % 1.04/1.32 c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_arctan__minus_0,axiom, % 1.04/1.32 c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_norm__scaleR_0,axiom, % 1.04/1.32 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.32 | c_RealVector_Onorm__class_Onorm(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(V_a,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__sum__triangle__ineq_0,axiom, % 1.04/1.32 c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__real__of__nat__cancel_0,axiom, % 1.04/1.32 c_HOL_Oabs__class_Oabs(c_RealDef_Oreal(V_x,tc_nat),tc_RealDef_Oreal) = c_RealDef_Oreal(V_x,tc_nat) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_abs__le__interval__iff_1,axiom, % 1.04/1.32 ( c_lessequals(V_x,V_r,tc_RealDef_Oreal) % 1.04/1.32 | ~ c_lessequals(c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_real__sqrt__two__ge__zero_0,axiom, % 1.04/1.32 c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_tan__60_0,axiom, % 1.04/1.32 c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__add__iff1_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),V_d,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__add__iff2_0,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__add__iff2_1,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__eq__number__of1_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_divide__less__eq__number__of1_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),V_a,T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__divide__eq__number__of1_2,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.32 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) ) ). % 1.04/1.32 % 1.04/1.32 cnf(cls_less__divide__eq__number__of1_3,axiom, % 1.04/1.32 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.32 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.32 | ~ class_Int_Onumber(T_a) % 1.04/1.32 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(V_b,c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__less__eq__number__of_2,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__less__eq__number__of_3,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__divide__eq__number__of_2,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__divide__eq__number__of_3,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_gt__half__sum_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__half__sum_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_number__of__Bit1_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(V_w),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__number__of__diff1_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_w,T_a),V_c,T_a),T_a) = c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(V_v,V_w,tc_Int_Oint),T_a),V_c,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_number__of__Bit0_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_Int_Onumber__class_Onumber__of(c_Int_OBit0(V_w),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_s1m_0,axiom, % 1.04/1.33 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__number__of_1,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_x,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_half_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_mult__numeral__1__right_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Otimes__class_Otimes(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_mult__numeral__1_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),V_a,T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_not__iszero__Numeral1_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | ~ c_Int_Oiszero(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_comp__arith_I110_J_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oone__class_Oone(T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_numeral__1__eq__1_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_inverse__numeral__1_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Oinverse(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__Numeral0_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_DERIV__mult__lemma_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__field(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__minus1_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OMin,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__if__lattice_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | ~ class_OrderedGroup_Olordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__if_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oabs__if(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__of__neg_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(V_a,T_a) = c_HOL_Ouminus__class_Ouminus(V_a,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__div__pos_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_x,T_a),V_y,T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__diff__triangle__ineq_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),T_a),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),T_a),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__triangle__ineq4_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__add__less_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a),c_HOL_Oplus__class_Oplus(V_r,V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_y,T_a),V_s,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(V_x,T_a),V_r,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_lemma__tan__total1_1,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1(V_y),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_lemma__real__divide__sqrt__less_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(V_u,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),V_u,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_u,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_arctan_1,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(V_y),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_tan__total_1,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_Transcendental_Osko__Transcendental__Xtan__total__1__1(V_y),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_pi__half__gt__zero_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_m2pi__less__pi_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_scaleR_Oprod__diff__prod_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_x,V_y,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(c_HOL_Ominus__class_Ominus(V_x,V_a,tc_RealDef_Oreal),V_b,T_a),T_a),c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nonzero__norm__divide_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.33 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) % 1.04/1.33 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__diff__ineq_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__triangle__ineq2_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__abs__def_0,axiom, % 1.04/1.33 ( c_HOL_Oabs__class_Oabs(V_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(V_r,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_lemma__interval__lt_2,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(V_y,V_b,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1(V_a,V_b,V_x),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_b,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_x,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_lemma__interval__lt_1,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(V_a,V_y,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1(V_a,V_b,V_x),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_b,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_x,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_s1_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,V_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_y,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_s_0,axiom, % 1.04/1.33 ( c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,V_xa,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_lessequals(c_RealVector_Onorm__class_Onorm(V_xa,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,v_s____,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_s1_2,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_sko__local__Xs1__1(v_p,v_r,V_y),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_y,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_tan__total_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xtan__total__1__1(V_y),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_tan__monotone_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_Transcendental_Otan(V_y),c_Transcendental_Otan(V_x),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_tan__monotone_H_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_Transcendental_Otan(V_y),c_Transcendental_Otan(V_x),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_tan__monotone_H_1,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(V_y),c_Transcendental_Otan(V_x),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_lemma__tan__total1_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1(V_y),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__pi__half__less__zero_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_arctan_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Oarctan(V_y),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__number__of_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(V_x,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_x,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__triangle__ineq3_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_mult__2__right_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Otimes__class_Otimes(V_z,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a) = c_HOL_Oplus__class_Oplus(V_z,V_z,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_mult__2_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),V_z,T_a) = c_HOL_Oplus__class_Oplus(V_z,V_z,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_one__add__one__is__two_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_pi__less__4_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__sum__of__halves_0,axiom, % 1.04/1.33 c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x ). % 1.04/1.33 % 1.04/1.33 cnf(cls_pi__half__neq__two_0,axiom, % 1.04/1.33 c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_eq__divide__2__times__iff_0,axiom, % 1.04/1.33 c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_y,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_y,V_z,tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_eq__divide__2__times__iff_1,axiom, % 1.04/1.33 ( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(V_y,V_z,tc_RealDef_Oreal) % 1.04/1.33 | V_x = c_HOL_Oinverse__class_Odivide(V_y,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_half__gt__zero__iff_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_r,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_half__gt__zero_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oinverse__class_Odivide(V_r,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),T_a),T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_r,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__gt__half__sum_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_y,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__less__half__sum_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_pi__half__less__two_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__average__minus__first_0,axiom, % 1.04/1.33 c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__average__minus__second_0,axiom, % 1.04/1.33 c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_N1_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(V_n)),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_lessequals(v_N1____,V_n,tc_nat) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_d_I2_J_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,V_w,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_w,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_e_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_e2_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_th1_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,V_wa,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_wa,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_N2_0,axiom, % 1.04/1.33 c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealDef_Oreal(v_N2____,tc_nat),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__strict__mono_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__cancel__end_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__add__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = V_b ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_Bit0__Pls_0,axiom, % 1.04/1.33 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ). % 1.04/1.33 % 1.04/1.33 cnf(cls_Lim_Ominus__diff__minus_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__add__abs_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__less__cancel__left_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__less__cancel__left_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__strict__left__mono_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__less__cancel__right_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__less__cancel__right_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__strict__right__mono_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__diff__less__iff_1,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__add_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__add__distrib_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_order__less__asym_H_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_order__less__asym_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_xt1_I9_J_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_order__less__irrefl_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__less__def_1,axiom, % 1.04/1.33 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_order__less__le_1,axiom, % 1.04/1.33 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_linorder__neq__iff_1,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__less__iff_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I39_J_0,axiom, % 1.04/1.33 c_Int_OPls != c_Int_OBit1(V_l) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Oadd__c_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nat__add__commute_0,axiom, % 1.04/1.33 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__minus__cancel_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_RealVector_Onorm__class_Onorm(V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__idempotent_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_real__minus__half__eq_0,axiom, % 1.04/1.33 c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I46_J_0,axiom, % 1.04/1.33 c_Int_OBit1(V_k) != c_Int_OPls ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I44_J_0,axiom, % 1.04/1.33 ( c_Int_OBit0(V_k) != c_Int_OPls % 1.04/1.33 | V_k = c_Int_OPls ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I48_J_0,axiom, % 1.04/1.33 ( c_Int_OBit0(V_k) != c_Int_OBit0(V_l) % 1.04/1.33 | V_k = V_l ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__Numeral1_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_x ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide__numeral__1_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),T_a),T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__cancel__21_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__right__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 1.04/1.33 | V_b = V_c ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__left__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.04/1.33 | V_b = V_c ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__imp__eq_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 1.04/1.33 | V_b = V_c ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 1.04/1.33 | V_y = V_z ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_natgb_Oadd__cancel_0,axiom, % 1.04/1.33 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat) % 1.04/1.33 | V_y = V_z ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nat__add__left__cancel_0,axiom, % 1.04/1.33 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 1.04/1.33 | V_m = V_n ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nat__add__right__cancel_0,axiom, % 1.04/1.33 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat) % 1.04/1.33 | V_m = V_n ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__minus__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = c_HOL_Oabs__class_Oabs(V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_ab__diff__minus_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_diff__minus_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__ring_Osub__add_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_diff__def_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__number__of_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__algebra__1(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I50_J_0,axiom, % 1.04/1.33 c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I38_J_1,axiom, % 1.04/1.33 c_Int_OPls = c_Int_OBit0(c_Int_OPls) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__divide__left_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__divide__right_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__minus__commute_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__numeral__0_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),V_a,T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__numeral__0__right_0,axiom, % 1.04/1.33 ( ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_Int_Onumber__class_Onumber__of(c_Int_OPls,T_a),T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__eqI_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__eqI_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__minus__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a) = V_b ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__less__iff_2,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.33 | V_x = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | V_x = V_y % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | V_x = V_y % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_linorder__less__linear_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.33 | V_x = V_y % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_linorder__neqE_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Olinorder(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.04/1.33 | V_x = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_compl__eq__compl__iff_0,axiom, % 1.04/1.33 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a) % 1.04/1.33 | V_x = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_neg__equal__iff__equal_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a) % 1.04/1.33 | V_a = V_b ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_neg__less__iff__less_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_neg__less__iff__less_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__less__iff_1,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(V_a,T_a),V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_diff__divide__distrib_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide_Odiff_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__norm__cancel_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(V_a,T_a),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I38_J_0,axiom, % 1.04/1.33 ( c_Int_OPls != c_Int_OBit0(V_l) % 1.04/1.33 | c_Int_OPls = V_l ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__divide_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.33 | c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(V_a,T_a),c_RealVector_Onorm__class_Onorm(V_b,T_a),tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_diff__add__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I51_J_0,axiom, % 1.04/1.33 ( c_Int_OBit1(V_k) != c_Int_OBit1(V_l) % 1.04/1.33 | V_k = V_l ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_xt1_I10_J_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Oorder(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_order__less__trans_0,axiom, % 1.04/1.33 ( ~ class_Orderings_Opreorder(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Oadd__a_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nat__add__assoc_0,axiom, % 1.04/1.33 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_nat__add__left__commute_0,axiom, % 1.04/1.33 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__cancel__21_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_eq__eqI_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.04/1.33 | V_x_H = V_y_H ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_eq__eqI_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 1.04/1.33 | V_xa = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_eq__number__of_0,axiom, % 1.04/1.33 ( ~ class_Int_Oring__char__0(T_a) % 1.04/1.33 | ~ class_Int_Onumber__ring(T_a) % 1.04/1.33 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a) % 1.04/1.33 | V_x = V_y ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__divide__divide_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide_Ominus_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_Deriv_Oadd__diff__add_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__diff__less__iff_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__divide_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__field(T_a) % 1.04/1.33 | ~ class_Ring__and__Field_Odivision__by__zero(T_a) % 1.04/1.33 | c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(V_a,T_a),c_HOL_Oabs__class_Oabs(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__cancel__end_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != V_y % 1.04/1.33 | V_x = c_HOL_Ouminus__class_Ouminus(V_z,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_rel__simps_I49_J_0,axiom, % 1.04/1.33 c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_norm__minus__commute_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__vector(T_a) % 1.04/1.33 | c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_diff__minus__eq__add_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__diff__cancel_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_add__divide__distrib_0,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Ofield(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_divide_Oadd_0,axiom, % 1.04/1.33 ( ~ class_RealVector_Oreal__normed__field(T_a) % 1.04/1.33 | c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_abs__diff__less__iff_2,axiom, % 1.04/1.33 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),T_a),V_r,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_a,V_r,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_r,T_a),V_x,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__equation__iff_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_equation__minus__iff_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_equation__minus__iff_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_double__compl_0,axiom, % 1.04/1.33 ( ~ class_Lattices_Oboolean__algebra(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__minus_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__diff__eq_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.04/1.33 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__less__iff_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_minus__less__iff_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__minus__iff_1,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_less__minus__iff_0,axiom, % 1.04/1.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.04/1.33 | c_HOL_Oord__class_Oless(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_CHAINED_0,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,V_wa,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) % 1.04/1.33 | ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(V_wa,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_CHAINED_0_01,axiom, % 1.04/1.33 ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) % 1.04/1.33 | ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat) ) ). % 1.04/1.33 % 1.04/1.33 cnf(cls_conjecture_0,negated_conjecture, % 1.04/1.33 ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.33 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__zero(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__add(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.04/1.33 class_Orderings_Opreorder(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.04/1.33 class_Orderings_Olinorder(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.04/1.33 class_Orderings_Oorder(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_nat__Int_Onumber,axiom, % 1.04/1.33 class_Int_Onumber(tc_nat) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 1.04/1.33 class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.33 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom, % 1.04/1.33 class_Ring__and__Field_Oabs__if(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom, % 1.04/1.33 class_Ring__and__Field_Oring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oidom(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom, % 1.04/1.33 class_Orderings_Opreorder(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom, % 1.04/1.33 class_Orderings_Olinorder(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom, % 1.04/1.33 class_Orderings_Oorder(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom, % 1.04/1.33 class_Int_Oring__char__0(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom, % 1.04/1.33 class_Int_Onumber__ring(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Int__Oint__Int_Onumber,axiom, % 1.04/1.33 class_Int_Onumber(tc_Int_Oint) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom, % 1.04/1.33 class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.33 class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom, % 1.04/1.33 class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring__1(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__algebra(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__vector,axiom, % 1.04/1.33 class_RealVector_Oreal__vector(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom, % 1.04/1.33 class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom, % 1.04/1.33 class_RealVector_Oreal__field(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom, % 1.04/1.33 class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom, % 1.04/1.33 class_Ring__and__Field_Oring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom, % 1.04/1.33 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom, % 1.04/1.33 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom, % 1.04/1.33 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom, % 1.04/1.33 class_Int_Oring__char__0(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom, % 1.04/1.33 class_Int_Onumber__ring(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom, % 1.04/1.33 class_Int_Onumber(tc_RealDef_Oreal) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom, % 1.04/1.33 class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring,axiom, % 1.04/1.33 class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring,axiom, % 1.04/1.33 class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field,axiom, % 1.04/1.33 class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one,axiom, % 1.04/1.33 class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__1,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring__1(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom, % 1.04/1.33 class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero,axiom, % 1.04/1.33 class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring,axiom, % 1.04/1.33 class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__algebra,axiom, % 1.04/1.33 class_RealVector_Oreal__algebra(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add,axiom, % 1.04/1.33 class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__vector,axiom, % 1.04/1.33 class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom, % 1.04/1.33 class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom, % 1.04/1.33 class_RealVector_Oreal__field(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom, % 1.04/1.33 class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom, % 1.04/1.33 class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom, % 1.04/1.33 class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Int_Oring__char__0,axiom, % 1.04/1.33 class_Int_Oring__char__0(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom, % 1.04/1.33 class_Int_Onumber__ring(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom, % 1.04/1.33 class_Int_Onumber(tc_Complex_Ocomplex) ). % 1.04/1.33 % 1.04/1.33 %------------------------------------------------------------------------------ % 1.04/1.33 %------------------------------------------- % 1.04/1.33 % Proof found % 1.04/1.33 % SZS status Theorem for theBenchmark % 1.04/1.33 % SZS output start Proof % 1.04/1.33 %ClaNum:1363(EqnAxiom:122) % 1.04/1.33 %VarNum:7728(SingletonVarNum:2309) % 1.04/1.33 %MaxLitNum:6 % 1.04/1.33 %MaxfuncDepth:6 % 1.04/1.33 %SharedTerms:263 % 1.04/1.33 %goalClause: 401 % 1.04/1.33 %singleGoalClaCount:1 % 1.04/1.33 [125]P1(a13) % 1.04/1.33 [126]P1(a29) % 1.04/1.33 [127]P1(a14) % 1.04/1.33 [128]P49(a13) % 1.04/1.33 [129]P53(a13) % 1.04/1.33 [130]P53(a29) % 1.04/1.33 [131]P53(a14) % 1.04/1.33 [132]P54(a13) % 1.04/1.33 [133]P54(a14) % 1.04/1.33 [134]P2(a13) % 1.04/1.33 [135]P2(a14) % 1.04/1.33 [136]P24(a13) % 1.04/1.33 [137]P24(a15) % 1.04/1.33 [138]P3(a13) % 1.04/1.33 [139]P3(a29) % 1.04/1.33 [140]P3(a14) % 1.04/1.33 [141]P3(a15) % 1.04/1.33 [142]P58(a13) % 1.04/1.33 [143]P58(a14) % 1.04/1.33 [144]P25(a13) % 1.04/1.33 [145]P25(a14) % 1.04/1.33 [146]P26(a13) % 1.04/1.33 [147]P26(a29) % 1.04/1.33 [148]P26(a14) % 1.04/1.33 [149]P44(a13) % 1.04/1.33 [150]P44(a15) % 1.04/1.33 [151]P32(a13) % 1.04/1.33 [152]P32(a29) % 1.04/1.33 [153]P32(a14) % 1.04/1.33 [154]P32(a15) % 1.04/1.33 [155]P61(a13) % 1.04/1.33 [156]P61(a29) % 1.04/1.33 [157]P61(a14) % 1.04/1.33 [158]P61(a15) % 1.04/1.33 [159]P62(a13) % 1.04/1.33 [160]P62(a14) % 1.04/1.33 [161]P62(a15) % 1.04/1.33 [162]P50(a13) % 1.04/1.33 [163]P50(a29) % 1.04/1.33 [164]P50(a14) % 1.04/1.33 [165]P50(a15) % 1.04/1.33 [166]P27(a13) % 1.04/1.33 [167]P27(a29) % 1.04/1.33 [168]P27(a14) % 1.04/1.33 [169]P56(a13) % 1.04/1.33 [170]P56(a29) % 1.04/1.33 [171]P56(a14) % 1.04/1.33 [172]P46(a13) % 1.04/1.33 [173]P46(a29) % 1.04/1.33 [174]P46(a14) % 1.04/1.33 [175]P59(a13) % 1.04/1.33 [176]P59(a14) % 1.04/1.33 [177]P47(a13) % 1.04/1.33 [178]P47(a14) % 1.04/1.33 [179]P47(a15) % 1.04/1.33 [180]P7(a13) % 1.04/1.33 [181]P7(a14) % 1.04/1.33 [182]P7(a15) % 1.04/1.33 [183]P45(a13) % 1.04/1.33 [184]P45(a15) % 1.04/1.33 [185]P60(a13) % 1.04/1.33 [186]P60(a29) % 1.04/1.33 [187]P60(a14) % 1.04/1.33 [188]P8(a13) % 1.04/1.33 [189]P8(a29) % 1.04/1.33 [190]P8(a14) % 1.04/1.33 [191]P8(a15) % 1.04/1.33 [192]P63(a13) % 1.04/1.33 [193]P63(a29) % 1.04/1.33 [194]P63(a14) % 1.04/1.33 [195]P33(a13) % 1.04/1.33 [196]P33(a15) % 1.04/1.33 [197]P55(a13) % 1.04/1.33 [198]P55(a14) % 1.04/1.33 [199]P41(a13) % 1.04/1.33 [200]P41(a15) % 1.04/1.33 [201]P34(a13) % 1.04/1.33 [202]P34(a15) % 1.04/1.33 [203]P35(a13) % 1.04/1.33 [204]P35(a15) % 1.04/1.33 [205]P28(a13) % 1.04/1.33 [206]P28(a29) % 1.04/1.33 [207]P28(a14) % 1.04/1.33 [208]P14(a13) % 1.04/1.33 [209]P14(a29) % 1.04/1.33 [210]P14(a14) % 1.04/1.33 [211]P14(a15) % 1.04/1.33 [212]P48(a13) % 1.04/1.33 [213]P48(a14) % 1.04/1.33 [214]P17(a13) % 1.04/1.33 [215]P17(a29) % 1.04/1.33 [216]P17(a14) % 1.04/1.33 [217]P17(a15) % 1.04/1.33 [218]P18(a13) % 1.04/1.33 [219]P18(a29) % 1.04/1.33 [220]P18(a14) % 1.04/1.33 [221]P18(a15) % 1.04/1.33 [222]P52(a13) % 1.04/1.33 [223]P52(a29) % 1.04/1.33 [224]P52(a14) % 1.04/1.33 [225]P19(a13) % 1.04/1.33 [226]P19(a14) % 1.04/1.33 [227]P23(a13) % 1.04/1.33 [228]P23(a14) % 1.04/1.33 [229]P38(a13) % 1.04/1.33 [230]P38(a15) % 1.04/1.33 [231]P57(a13) % 1.04/1.33 [232]P57(a29) % 1.04/1.33 [233]P57(a14) % 1.04/1.33 [234]P51(a13) % 1.04/1.33 [235]P51(a29) % 1.04/1.33 [236]P51(a14) % 1.04/1.33 [237]P51(a15) % 1.04/1.33 [238]P65(a13) % 1.04/1.33 [239]P65(a29) % 1.04/1.33 [240]P65(a14) % 1.04/1.33 [241]P65(a15) % 1.04/1.33 [242]P36(a13) % 1.04/1.33 [243]P36(a29) % 1.04/1.33 [244]P36(a14) % 1.04/1.33 [245]P31(a13) % 1.04/1.33 [246]P31(a29) % 1.04/1.33 [247]P31(a14) % 1.04/1.33 [248]P29(a13) % 1.04/1.33 [249]P29(a29) % 1.04/1.33 [250]P29(a14) % 1.04/1.33 [251]P42(a13) % 1.04/1.33 [252]P42(a29) % 1.04/1.33 [253]P42(a14) % 1.04/1.33 [254]P42(a15) % 1.04/1.33 [255]P66(a13) % 1.04/1.33 [256]P66(a29) % 1.04/1.33 [257]P66(a14) % 1.04/1.33 [258]P66(a15) % 1.04/1.33 [259]P21(a13) % 1.04/1.33 [260]P21(a29) % 1.04/1.33 [261]P21(a14) % 1.04/1.33 [262]P21(a15) % 1.04/1.33 [263]P30(a13) % 1.04/1.33 [264]P30(a29) % 1.04/1.33 [265]P30(a14) % 1.04/1.33 [266]P9(a13) % 1.04/1.33 [267]P9(a14) % 1.04/1.33 [268]P9(a15) % 1.04/1.33 [269]P20(a13) % 1.04/1.33 [270]P20(a14) % 1.04/1.33 [271]P20(a15) % 1.04/1.33 [272]P10(a13) % 1.04/1.33 [273]P10(a14) % 1.04/1.33 [274]P10(a15) % 1.04/1.33 [275]P64(a13) % 1.04/1.33 [276]P64(a14) % 1.04/1.33 [277]P64(a15) % 1.04/1.33 [278]P22(a13) % 1.04/1.33 [279]P22(a14) % 1.04/1.33 [280]P43(a13) % 1.04/1.33 [281]P43(a14) % 1.04/1.33 [282]P40(a13) % 1.04/1.33 [283]P40(a15) % 1.04/1.33 [284]P37(a13) % 1.04/1.33 [285]P37(a15) % 1.04/1.33 [286]P15(a13) % 1.04/1.33 [287]P15(a29) % 1.04/1.33 [288]P15(a14) % 1.04/1.33 [289]P15(a15) % 1.04/1.33 [290]P16(a13) % 1.04/1.33 [291]P16(a29) % 1.04/1.33 [292]P16(a14) % 1.04/1.33 [293]P16(a15) % 1.04/1.33 [294]P39(a13) % 1.04/1.33 [295]P39(a15) % 1.04/1.33 [296]P12(a13) % 1.04/1.33 [297]P12(a29) % 1.04/1.33 [298]P12(a14) % 1.04/1.33 [299]P12(a15) % 1.04/1.33 [387]~E(a18,a1) % 1.04/1.33 [124]E(f2(a1),a1) % 1.04/1.33 [300]E(f3(a13),f25(a16)) % 1.04/1.33 [318]P4(f3(a13),a16,a13) % 1.04/1.33 [319]P4(f3(a13),a30,a13) % 1.04/1.33 [320]P5(f3(a13),a16,a13) % 1.04/1.33 [321]P5(f3(a13),a31,a13) % 1.04/1.33 [388]~E(f3(a13),a16) % 1.04/1.33 [394]~P5(a16,f3(a13),a13) % 1.04/1.33 [301]E(f17(f3(a13)),f3(a13)) % 1.04/1.33 [302]E(f25(f3(a13)),f3(a13)) % 1.04/1.33 [303]E(f20(f3(a13)),f3(a13)) % 1.04/1.33 [398]~P5(f3(a13),f12(f3(a13),f3(a13),a13),a13) % 1.04/1.33 [343]E(f7(f12(f3(a13),f3(a13),a13),f12(f3(a13),f3(a13),a13),a13),f3(a13)) % 1.04/1.33 [344]P4(f19(f7(f2(a18),f2(a18),a14),a13),a16,a13) % 1.04/1.33 [371]P5(f3(a13),f5(f8(f23(f22(a36,a37,a15),a15),f4(a38,a13),a13),a13),a13) % 1.04/1.33 [357]P4(f3(a13),f17(f19(f7(f2(a18),f2(a18),a14),a13)),a13) % 1.04/1.33 [358]P5(f3(a13),f17(f19(f7(f2(a18),f2(a18),a14),a13)),a13) % 1.04/1.33 [360]P4(f3(a13),f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [361]P5(f3(a13),f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [365]P4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13),a13) % 1.04/1.33 [366]P5(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13),a13) % 1.04/1.33 [370]P5(a16,f19(f7(f7(f2(a18),f2(a18),a14),f7(f2(a18),f2(a18),a14),a14),a13),a13) % 1.04/1.33 [383]P5(f3(a13),f9(f5(f8(f23(f22(a36,a37,a15),a15),f4(a38,a13),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [384]P5(f9(f19(f7(f2(a18),f2(a18),a14),a13),f5(f8(f23(f22(a36,a37,a15),a15),f4(a38,a13),a13),a13),a13),f21(a32,a29),a13) % 1.04/1.33 [399]~E(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),f3(a13)) % 1.04/1.33 [400]~E(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13)) % 1.04/1.33 [401]~P5(f23(f8(f22(a36,f34(f35(f7(a33,a32,a29))),a15),f22(a36,a37,a15),a15),a15),f9(f5(f8(f23(f22(a36,a37,a15),a15),f4(a38,a13),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [340]E(f25(f9(a16,f19(f2(f2(a18)),a13),a13)),f17(f19(f2(f2(a18)),a13))) % 1.04/1.33 [375]P5(f4(f12(f19(f7(f2(a18),f2(a18),a14),a13),a16,a13),a13),a16,a13) % 1.04/1.33 [376]P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),f3(a13),a13) % 1.04/1.33 [315]P4(x3151,x3151,a13) % 1.04/1.33 [317]P4(x3171,x3171,a29) % 1.04/1.33 [393]~P5(x3931,x3931,a13) % 1.04/1.33 [313]E(f7(x3131,a18,a14),x3131) % 1.04/1.33 [314]E(f7(a18,x3141,a14),x3141) % 1.04/1.33 [323]P4(f3(a13),f21(x3231,a29),a13) % 1.04/1.33 [390]~E(f2(x3901),a18) % 1.04/1.33 [392]~E(f7(x3921,x3921,a14),a1) % 1.04/1.33 [397]~P5(f21(x3971,a29),f3(a13),a13) % 1.04/1.33 [304]E(f25(f20(x3041)),x3041) % 1.04/1.33 [305]E(f25(f26(x3051)),x3051) % 1.04/1.33 [306]E(f25(f27(x3061)),x3061) % 1.04/1.33 [307]E(f17(f4(x3071,a13)),f4(f17(x3071),a13)) % 1.04/1.33 [308]E(f25(f4(x3081,a13)),f4(f25(x3081),a13)) % 1.04/1.33 [309]E(f20(f4(x3091,a13)),f4(f20(x3091),a13)) % 1.04/1.33 [310]E(f5(f21(x3101,a29),a13),f21(x3101,a29)) % 1.04/1.33 [322]E(f7(x3221,f4(x3221,a13),a13),f3(a13)) % 1.04/1.33 [324]P4(f23(f34(x3241),a15),a30,a13) % 1.04/1.33 [328]E(f25(f7(x3281,a16,a13)),f25(x3281)) % 1.04/1.33 [329]E(f17(f12(x3291,x3291,a13)),f5(x3291,a13)) % 1.04/1.33 [331]P4(f4(f23(x3311,a15),a13),f23(x3311,a15),a13) % 1.04/1.33 [332]E(f25(f12(f21(x3321,a29),a16,a13)),f3(a13)) % 1.04/1.33 [362]P5(f20(x3621),f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [363]P5(f26(x3631),f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [364]P5(f27(x3641),f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [367]E(f8(x3671,f9(x3671,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),f9(x3671,f19(f7(f2(a18),f2(a18),a14),a13),a13)) % 1.04/1.33 [372]E(f7(f9(x3721,f19(f7(f2(a18),f2(a18),a14),a13),a13),f9(x3721,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x3721) % 1.04/1.33 [377]P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),f20(x3771),a13) % 1.04/1.33 [378]P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),f26(x3781),a13) % 1.04/1.33 [379]P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),f27(x3791),a13) % 1.04/1.33 [325]E(f12(x3251,x3252,a13),f12(x3252,x3251,a13)) % 1.04/1.33 [326]E(f7(x3261,x3262,a29),f7(x3262,x3261,a29)) % 1.04/1.33 [327]E(f7(x3271,x3272,a14),f7(x3272,x3271,a14)) % 1.04/1.33 [333]P4(x3331,f7(x3332,x3331,a29),a29) % 1.04/1.33 [336]P4(x3361,f7(x3361,x3362,a29),a29) % 1.04/1.33 [396]~E(f2(x3961),f7(x3962,x3962,a14)) % 1.04/1.33 [330]E(f7(x3301,f4(x3302,a13),a13),f8(x3301,x3302,a13)) % 1.04/1.33 [337]E(f12(f17(x3371),f17(x3372),a13),f17(f12(x3371,x3372,a13))) % 1.04/1.33 [338]E(f9(f17(x3381),f17(x3382),a13),f17(f9(x3381,x3382,a13))) % 1.04/1.33 [339]E(f7(f21(x3391,a29),f21(x3392,a29),a13),f21(f7(x3391,x3392,a29),a29)) % 1.04/1.33 [341]E(f7(f2(x3411),f7(x3412,x3412,a14),a14),f2(f7(x3411,x3412,a14))) % 1.04/1.33 [342]E(f7(f7(x3421,x3421,a14),f2(x3422),a14),f2(f7(x3421,x3422,a14))) % 1.04/1.33 [350]E(f9(f12(x3501,x3502,a13),f12(x3501,x3501,a13),a13),f9(x3502,x3501,a13)) % 1.04/1.33 [352]P4(f4(f12(x3521,x3521,a13),a13),f12(x3522,x3522,a13),a13) % 1.04/1.33 [356]E(f7(f7(x3561,x3561,a14),f7(x3562,x3562,a14),a14),f7(f7(x3561,x3562,a14),f7(x3561,x3562,a14),a14)) % 1.04/1.33 [359]P4(f3(a13),f7(f12(x3591,x3591,a13),f12(x3592,x3592,a13),a13),a13) % 1.04/1.33 [351]E(f5(f7(x3511,f4(x3512,a13),a13),a13),f5(f7(x3512,f4(x3511,a13),a13),a13)) % 1.04/1.33 [368]P4(x3681,f17(f7(f12(x3681,x3681,a13),f12(x3682,x3682,a13),a13)),a13) % 1.04/1.33 [369]P4(f3(a13),f17(f7(f12(x3691,x3691,a13),f12(x3692,x3692,a13),a13)),a13) % 1.04/1.33 [353]E(f25(f7(x3531,f12(f21(x3532,a29),a16,a13),a13)),f25(x3531)) % 1.04/1.33 [354]E(f25(f7(x3541,f12(f19(x3542,a13),a16,a13),a13)),f25(x3541)) % 1.04/1.33 [373]E(f8(f9(f7(x3731,x3732,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),x3732,a13),f9(f8(x3731,x3732,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13)) % 1.04/1.33 [374]E(f8(f9(f7(x3741,x3742,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),x3741,a13),f9(f8(x3742,x3741,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13)) % 1.04/1.33 [381]E(f12(f19(f7(f2(a18),f2(a18),a14),a13),f9(x3811,f12(f19(f7(f2(a18),f2(a18),a14),a13),x3812,a13),a13),a13),f9(x3811,x3812,a13)) % 1.04/1.33 [345]E(f7(x3451,f7(x3452,x3453,a29),a29),f7(x3452,f7(x3451,x3453,a29),a29)) % 1.04/1.33 [346]E(f7(x3461,f7(x3462,x3463,a14),a14),f7(x3462,f7(x3461,x3463,a14),a14)) % 1.04/1.33 [347]E(f12(f12(x3471,x3472,a13),x3473,a13),f12(x3471,f12(x3472,x3473,a13),a13)) % 1.04/1.33 [348]E(f7(f7(x3481,x3482,a29),x3483,a29),f7(x3481,f7(x3482,x3483,a29),a29)) % 1.04/1.33 [349]E(f7(f7(x3491,x3492,a14),x3493,a14),f7(x3491,f7(x3492,x3493,a14),a14)) % 1.04/1.33 [355]E(f7(f12(x3551,x3552,a13),f12(x3553,x3552,a13),a13),f12(f7(x3551,x3553,a13),x3552,a13)) % 1.04/1.33 [385]E(f8(f28(x3851,x3852),f12(f9(f8(f28(x3851,x3853),f28(x3851,x3852),a13),f8(x3853,x3852,a13),a13),x3852,a13),a13),f8(f28(x3851,x3853),f12(f9(f8(f28(x3851,x3853),f28(x3851,x3852),a13),f8(x3853,x3852,a13),a13),x3853,a13),a13)) % 1.04/1.33 [382]P4(f5(f7(f7(x3821,x3822,a13),f7(f4(x3823,a13),f4(x3824,a13),a13),a13),a13),f7(f5(f7(x3821,f4(x3823,a13),a13),a13),f5(f7(x3822,f4(x3824,a13),a13),a13),a13),a13) % 1.04/1.33 [402]E(x4021,a1)+~E(f2(x4021),a1) % 1.04/1.33 [403]E(a1,x4031)+~E(f2(x4031),a1) % 1.04/1.33 [404]~E(f17(x4041),f3(a13))+E(x4041,f3(a13)) % 1.04/1.33 [408]~P61(x4081)+~E(f11(x4081),f3(x4081)) % 1.04/1.33 [410]~P7(x4101)+E(f19(a18,x4101),f3(x4101)) % 1.04/1.33 [411]~P65(x4111)+P6(f3(x4111),x4111) % 1.04/1.33 [427]~P65(x4271)+~P6(f11(x4271),x4271) % 1.04/1.33 [435]~P7(x4351)+P6(f19(a18,x4351),x4351) % 1.04/1.33 [461]~P7(x4611)+~P6(f19(a1,x4611),x4611) % 1.04/1.33 [479]E(f5(x4791,a13),x4791)+P5(x4791,f3(a13),a13) % 1.04/1.33 [498]~P57(x4981)+P4(f3(x4981),f11(x4981),x4981) % 1.04/1.33 [499]~P57(x4991)+P5(f3(x4991),f11(x4991),x4991) % 1.04/1.33 [512]E(x5121,a18)+~E(f7(x5121,x5121,a14),a18) % 1.04/1.33 [513]E(a18,x5131)+~E(f7(x5131,x5131,a14),a18) % 1.04/1.33 [545]~E(f17(x5451),f3(a13))+~P5(f3(a13),x5451,a13) % 1.04/1.33 [565]~P57(x5651)+~P4(f11(x5651),f3(x5651),x5651) % 1.04/1.33 [566]~P57(x5661)+~P5(f11(x5661),f3(x5661),x5661) % 1.04/1.33 [568]E(f4(x5681,a13),f5(x5681,a13))+~P5(x5681,f3(a13),a13) % 1.04/1.33 [631]~P4(x6311,f3(a13),a13)+P4(f17(x6311),f3(a13),a13) % 1.04/1.33 [632]~P5(x6321,f3(a13),a13)+P5(f17(x6321),f3(a13),a13) % 1.04/1.33 [634]~P4(f3(a13),x6341,a13)+P4(f3(a13),f17(x6341),a13) % 1.04/1.33 [636]~P5(f3(a13),x6361,a13)+P5(f3(a13),f17(x6361),a13) % 1.04/1.33 [637]~P4(f17(x6371),f3(a13),a13)+P4(x6371,f3(a13),a13) % 1.04/1.33 [638]~P5(f17(x6381),f3(a13),a13)+P5(x6381,f3(a13),a13) % 1.04/1.33 [639]~P4(f3(a13),f17(x6391),a13)+P4(f3(a13),x6391,a13) % 1.04/1.33 [640]~P5(f3(a13),f17(x6401),a13)+P5(f3(a13),x6401,a13) % 1.04/1.33 [648]E(x6481,f3(a13))+P5(f3(a13),f12(x6481,x6481,a13),a13) % 1.04/1.33 [413]~P7(x4131)+E(f19(f2(a18),x4131),f11(x4131)) % 1.04/1.33 [414]~P33(x4141)+E(f23(f3(x4141),x4141),f3(a13)) % 1.04/1.33 [416]~P24(x4161)+E(f10(f3(x4161),x4161),f3(x4161)) % 1.04/1.33 [417]~P45(x4171)+E(f10(f11(x4171),x4171),f11(x4171)) % 1.04/1.33 [418]~P23(x4181)+E(f4(f3(x4181),x4181),f3(x4181)) % 1.04/1.33 [419]~P20(x4191)+E(f4(f3(x4191),x4191),f3(x4191)) % 1.04/1.33 [420]~P25(x4201)+E(f5(f3(x4201),x4201),f3(x4201)) % 1.04/1.33 [421]~P55(x4211)+E(f5(f11(x4211),x4211),f11(x4211)) % 1.04/1.33 [429]~P7(x4291)+E(f4(f11(x4291),x4291),f19(a1,x4291)) % 1.04/1.33 [502]~P19(x5021)+E(f7(f3(x5021),f3(x5021),x5021),f3(x5021)) % 1.04/1.33 [507]~P7(x5071)+~P6(f19(f2(a18),x5071),x5071) % 1.04/1.33 [547]~P33(x5471)+P4(f23(f3(x5471),x5471),f3(a13),a13) % 1.04/1.33 [555]~P25(x5551)+P4(f5(f3(x5551),x5551),f3(x5551),x5551) % 1.04/1.33 [642]~P33(x6421)+~P5(f3(a13),f23(f3(x6421),x6421),a13) % 1.04/1.33 [647]~P25(x6471)+~P5(f3(x6471),f5(f3(x6471),x6471),x6471) % 1.04/1.33 [729]~P57(x7291)+P5(f3(x7291),f7(f11(x7291),f11(x7291),x7291),x7291) % 1.04/1.33 [1001]~P5(f4(a38,a13),x10011,a13)+P4(f23(f39(a36,a30,x10011),a15),a30,a13) % 1.04/1.33 [1031]~P4(f23(x10311,a15),a30,a13)+P4(f4(a38,a13),f23(f22(a36,x10311,a15),a15),a13) % 1.04/1.33 [733]~P7(x7331)+E(f7(f11(x7331),f11(x7331),x7331),f19(f7(f2(a18),f2(a18),a14),x7331)) % 1.04/1.33 [886]~P54(x8861)+E(f7(f12(f3(x8861),f3(x8861),x8861),f12(f3(x8861),f3(x8861),x8861),x8861),f3(x8861)) % 1.04/1.33 [1243]~P54(x12431)+P4(f7(f12(f3(x12431),f3(x12431),x12431),f12(f3(x12431),f3(x12431),x12431),x12431),f3(x12431),x12431) % 1.04/1.33 [1297]~P5(f4(a38,a13),x12971,a13)+P5(f23(f22(a36,f39(a36,a30,x12971),a15),a15),x12971,a13) % 1.04/1.33 [1333]~P54(x13331)+~P5(f3(x13331),f7(f12(f3(x13331),f3(x13331),x13331),f12(f3(x13331),f3(x13331),x13331),x13331),x13331) % 1.04/1.33 [1041]~P4(a33,x10411,a29)+P5(f23(f8(f34(f35(x10411)),a37,a15),a15),a31,a13) % 1.04/1.33 [1360]~P5(f23(f8(x13601,a37,a15),a15),a31,a13)+P5(f23(f8(f22(a36,x13601,a15),f22(a36,a37,a15),a15),a15),f9(f5(f8(f23(f22(a36,a37,a15),a15),f4(a38,a13),a13),a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [1338]~P5(f3(a13),x13381,a13)+P5(f9(x13381,f17(f19(f7(f2(a18),f2(a18),a14),a13)),a13),x13381,a13) % 1.04/1.33 [454]~P26(x4542)+P4(x4541,x4541,x4542) % 1.04/1.33 [455]~P36(x4552)+P4(x4551,x4551,x4552) % 1.04/1.33 [528]~P5(x5282,x5282,x5281)+~P26(x5281) % 1.04/1.33 [529]~P5(x5292,x5292,x5291)+~P36(x5291) % 1.04/1.33 [530]~P5(x5302,x5302,x5301)+~P31(x5301) % 1.04/1.33 [556]P4(x5562,x5561,a13)+P4(x5561,x5562,a13) % 1.04/1.33 [557]P4(x5572,x5571,a29)+P4(x5571,x5572,a29) % 1.04/1.33 [602]~P5(x6021,x6022,a13)+P4(x6021,x6022,a13) % 1.04/1.33 [405]E(x4051,x4052)+~E(f17(x4051),f17(x4052)) % 1.04/1.33 [406]E(x4061,x4062)+~E(f2(x4061),f2(x4062)) % 1.04/1.33 [434]E(x4341,x4342)+~E(f21(x4341,a29),f21(x4342,a29)) % 1.04/1.33 [456]~P13(x4562)+E(f12(x4561,x4561,x4562),x4561) % 1.04/1.33 [458]~P9(x4582)+E(f8(x4581,x4581,x4582),f3(x4582)) % 1.04/1.33 [460]~P20(x4602)+E(f8(x4601,x4601,x4602),f3(x4602)) % 1.04/1.33 [517]~P25(x5172)+P4(x5171,f5(x5171,x5172),x5172) % 1.04/1.33 [519]~P33(x5192)+P4(f3(a13),f23(x5191,x5192),a13) % 1.04/1.33 [531]~P25(x5311)+P4(f3(x5311),f5(x5312,x5311),x5311) % 1.04/1.33 [546]E(x5461,f4(x5462,a13))+~E(f7(x5462,x5461,a13),f3(a13)) % 1.04/1.33 [569]~P25(x5692)+P4(f4(x5691,x5692),f5(x5691,x5692),x5692) % 1.04/1.33 [601]~P33(x6011)+~P5(f23(x6012,x6011),f3(a13),a13) % 1.04/1.33 [613]~P25(x6131)+~P5(f5(x6132,x6131),f3(x6131),x6131) % 1.04/1.33 [619]~P4(x6191,x6192,a13)+P4(f17(x6191),f17(x6192),a13) % 1.04/1.33 [620]~P4(x6201,x6202,a13)+P4(f20(x6201),f20(x6202),a13) % 1.04/1.33 [621]~P5(x6211,x6212,a13)+P5(f17(x6211),f17(x6212),a13) % 1.04/1.33 [622]~P5(x6221,x6222,a13)+P5(f20(x6221),f20(x6222),a13) % 1.04/1.33 [643]P4(x6431,x6432,a13)+~P4(f17(x6431),f17(x6432),a13) % 1.04/1.33 [644]P5(x6441,x6442,a13)+~P5(f17(x6441),f17(x6442),a13) % 1.04/1.33 [656]E(x6561,x6562)+~E(f7(x6561,x6561,a14),f7(x6562,x6562,a14)) % 1.04/1.33 [663]P4(x6631,x6632,a13)+~P4(f5(x6631,a13),x6632,a13) % 1.04/1.33 [665]~P54(x6651)+P4(f3(x6651),f12(x6652,x6652,x6651),x6651) % 1.04/1.33 [691]~P4(x6911,x6912,a29)+P4(f21(x6911,a29),f21(x6912,a29),a13) % 1.04/1.33 [719]~P4(f5(x7192,a13),x7191,a13)+P4(f4(x7191,a13),x7192,a13) % 1.04/1.33 [751]P4(x7511,x7512,a29)+~P4(f21(x7511,a29),f21(x7512,a29),a13) % 1.04/1.33 [812]~P4(x8121,x8122,a13)+P4(f8(x8121,x8122,a13),f3(a13),a13) % 1.04/1.33 [828]~P54(x8281)+~P5(f12(x8282,x8282,x8281),f3(x8281),x8281) % 1.04/1.33 [837]~P4(f4(x8371,a13),x8372,a13)+P4(f3(a13),f7(x8371,x8372,a13),a13) % 1.04/1.33 [838]~P5(f4(x8381,a13),x8382,a13)+P5(f3(a13),f7(x8381,x8382,a13),a13) % 1.04/1.33 [839]~P4(x8392,f4(x8391,a13),a13)+P4(f7(x8391,x8392,a13),f3(a13),a13) % 1.04/1.33 [840]~P5(x8402,f4(x8401,a13),a13)+P5(f7(x8401,x8402,a13),f3(a13),a13) % 1.04/1.33 [868]P4(x8681,x8682,a13)+~P4(f8(x8681,x8682,a13),f3(a13),a13) % 1.04/1.33 [882]P4(x8821,f4(x8822,a13),a13)+~P4(f7(x8822,x8821,a13),f3(a13),a13) % 1.04/1.33 [883]P5(x8831,f4(x8832,a13),a13)+~P5(f7(x8832,x8831,a13),f3(a13),a13) % 1.04/1.33 [884]P4(f4(x8841,a13),x8842,a13)+~P4(f3(a13),f7(x8841,x8842,a13),a13) % 1.04/1.33 [885]P5(f4(x8851,a13),x8852,a13)+~P5(f3(a13),f7(x8851,x8852,a13),a13) % 1.04/1.33 [439]~P20(x4392)+E(f4(f4(x4391,x4392),x4392),x4391) % 1.04/1.33 [440]~P11(x4402)+E(f4(f4(x4401,x4402),x4402),x4401) % 1.04/1.33 [448]~P33(x4482)+E(f5(f23(x4481,x4482),a13),f23(x4481,x4482)) % 1.04/1.33 [451]~P25(x4512)+E(f5(f4(x4511,x4512),x4512),f5(x4511,x4512)) % 1.04/1.33 [452]~P25(x4522)+E(f5(f5(x4521,x4522),x4522),f5(x4521,x4522)) % 1.04/1.33 [453]~P33(x4532)+E(f23(f4(x4531,x4532),x4532),f23(x4531,x4532)) % 1.04/1.33 [462]~P32(x4622)+E(f12(x4621,f11(x4622),x4622),x4621) % 1.04/1.33 [463]~P17(x4632)+E(f12(x4631,f11(x4632),x4632),x4631) % 1.04/1.33 [464]~P44(x4642)+E(f9(x4641,f11(x4642),x4642),x4641) % 1.04/1.33 [465]~P32(x4652)+E(f7(x4651,f3(x4652),x4652),x4651) % 1.04/1.33 [466]~P14(x4662)+E(f7(x4661,f3(x4662),x4662),x4661) % 1.04/1.33 [467]~P21(x4672)+E(f7(x4671,f3(x4672),x4672),x4671) % 1.04/1.33 [468]~P20(x4682)+E(f8(x4681,f3(x4682),x4682),x4681) % 1.04/1.33 [470]~P32(x4701)+E(f12(f11(x4701),x4702,x4701),x4702) % 1.04/1.33 [471]~P17(x4711)+E(f12(f11(x4711),x4712,x4711),x4712) % 1.04/1.33 [472]~P18(x4721)+E(f12(f11(x4721),x4722,x4721),x4722) % 1.04/1.33 [474]~P32(x4741)+E(f7(f3(x4741),x4742,x4741),x4742) % 1.04/1.33 [475]~P14(x4751)+E(f7(f3(x4751),x4752,x4751),x4752) % 1.04/1.33 [476]~P21(x4761)+E(f7(f3(x4761),x4762,x4761),x4762) % 1.04/1.33 [477]~P33(x4772)+E(f24(f3(a13),x4771,x4772),f3(x4772)) % 1.04/1.33 [478]~P41(x4782)+E(f24(f3(a13),x4781,x4782),f3(x4782)) % 1.04/1.33 [482]~P32(x4822)+E(f12(x4821,f3(x4822),x4822),f3(x4822)) % 1.04/1.33 [483]~P62(x4832)+E(f12(x4831,f3(x4832),x4832),f3(x4832)) % 1.04/1.33 [485]~P34(x4852)+E(f12(x4851,f3(x4852),x4852),f3(x4852)) % 1.04/1.33 [486]~P51(x4862)+E(f12(x4861,f3(x4862),x4862),f3(x4862)) % 1.04/1.33 [487]~P33(x4872)+E(f24(x4871,f3(x4872),x4872),f3(x4872)) % 1.04/1.33 [488]~P41(x4882)+E(f24(x4881,f3(x4882),x4882),f3(x4882)) % 1.04/1.33 [490]~P32(x4901)+E(f12(f3(x4901),x4902,x4901),f3(x4901)) % 1.04/1.33 [491]~P62(x4911)+E(f12(f3(x4911),x4912,x4911),f3(x4911)) % 1.04/1.33 [493]~P34(x4931)+E(f12(f3(x4931),x4932,x4931),f3(x4931)) % 1.04/1.33 [494]~P51(x4941)+E(f12(f3(x4941),x4942,x4941),f3(x4941)) % 1.04/1.33 [495]~P44(x4951)+E(f9(f3(x4951),x4952,x4951),f3(x4951)) % 1.04/1.33 [496]~P40(x4961)+E(f9(f3(x4961),x4962,x4961),f3(x4961)) % 1.04/1.33 [508]~P44(x5081)+E(f9(f11(x5081),x5082,x5081),f10(x5082,x5081)) % 1.04/1.33 [509]~P20(x5091)+E(f8(f3(x5091),x5092,x5091),f4(x5092,x5091)) % 1.04/1.33 [514]~P7(x5142)+E(f7(x5141,f19(a18,x5142),x5142),x5141) % 1.04/1.33 [515]~P7(x5151)+E(f7(f19(a18,x5151),x5152,x5151),x5152) % 1.04/1.33 [522]~P20(x5222)+E(f7(x5221,f4(x5221,x5222),x5222),f3(x5222)) % 1.04/1.33 [523]~P9(x5232)+E(f7(f4(x5231,x5232),x5231,x5232),f3(x5232)) % 1.04/1.33 [525]~P20(x5252)+E(f7(f4(x5251,x5252),x5251,x5252),f3(x5252)) % 1.04/1.33 [537]~P41(x5372)+E(f24(f19(a1,a13),x5371,x5372),f4(x5371,x5372)) % 1.04/1.33 [542]~P7(x5422)+E(f12(x5421,f19(a1,x5422),x5422),f4(x5421,x5422)) % 1.04/1.33 [543]~P7(x5431)+E(f12(f19(a1,x5431),x5432,x5431),f4(x5432,x5431)) % 1.04/1.33 [594]E(x5941,x5942)+~E(f7(x5941,f4(x5942,a13),a13),f3(a13)) % 1.04/1.33 [614]~P25(x6142)+P4(f4(f5(x6141,x6142),x6142),f3(x6142),x6142) % 1.04/1.33 [651]~P47(x6512)+E(f12(f4(x6511,x6512),f4(x6511,x6512),x6512),f12(x6511,x6511,x6512)) % 1.04/1.33 [652]~P55(x6522)+E(f12(f5(x6521,x6522),f5(x6521,x6522),x6522),f12(x6521,x6521,x6522)) % 1.04/1.33 [682]~P57(x6822)+P5(x6821,f7(x6821,f11(x6822),x6822),x6822) % 1.04/1.33 [821]E(x8211,f3(a13))+~E(f12(x8212,x8212,a13),f4(f12(x8211,x8211,a13),a13)) % 1.04/1.33 [822]E(x8221,f3(a13))+~E(f12(x8221,x8221,a13),f4(f12(x8222,x8222,a13),a13)) % 1.04/1.33 [836]~P7(x8361)+E(f7(f7(f11(x8361),f19(x8362,x8361),x8361),f19(x8362,x8361),x8361),f19(f2(x8362),x8361)) % 1.04/1.33 [846]~P5(x8462,x8461,a13)+P5(f3(a13),f7(x8461,f4(x8462,a13),a13),a13) % 1.04/1.33 [918]~P7(x9181)+E(f12(f7(f11(x9181),f11(x9181),x9181),f19(x9182,x9181),x9181),f19(f7(x9182,x9182,a14),x9181)) % 1.04/1.33 [999]~P7(x9991)+E(f7(f7(f3(x9991),f19(x9992,x9991),x9991),f19(x9992,x9991),x9991),f19(f7(x9992,x9992,a14),x9991)) % 1.04/1.33 [1000]P5(x10001,x10002,a13)+~P5(f3(a13),f7(x10002,f4(x10001,a13),a13),a13) % 1.04/1.33 [1032]E(x10321,f3(a13))+~E(f7(f12(x10322,x10322,a13),f12(x10321,x10321,a13),a13),f3(a13)) % 1.04/1.33 [1033]E(x10331,f3(a13))+~E(f7(f12(x10331,x10331,a13),f12(x10332,x10332,a13),a13),f3(a13)) % 1.04/1.33 [1179]E(x11791,f3(a13))+P5(f3(a13),f7(f12(x11792,x11792,a13),f12(x11791,x11791,a13),a13),a13) % 1.04/1.33 [1180]E(x11801,f3(a13))+P5(f3(a13),f7(f12(x11801,x11801,a13),f12(x11802,x11802,a13),a13),a13) % 1.04/1.33 [534]~P7(x5342)+E(f12(x5341,f19(f2(a18),x5342),x5342),x5341) % 1.04/1.33 [535]~P7(x5351)+E(f12(f19(f2(a18),x5351),x5352,x5351),x5352) % 1.04/1.33 [570]~P7(x5701)+E(f12(f4(f11(x5701),x5701),x5702,x5701),f4(x5702,x5701)) % 1.04/1.33 [776]~P7(x7761)+E(f7(f11(x7761),f19(x7762,x7761),x7761),f19(f7(f2(a18),x7762,a14),x7761)) % 1.04/1.33 [777]~P7(x7772)+E(f7(f19(x7771,x7772),f11(x7772),x7772),f19(f7(x7771,f2(a18),a14),x7772)) % 1.04/1.33 [814]~P32(x8142)+E(f7(x8141,x8141,x8142),f12(f7(f11(x8142),f11(x8142),x8142),x8141,x8142)) % 1.04/1.33 [997]~P7(x9972)+E(f12(x9971,f19(f7(f2(a18),f2(a18),a14),x9972),x9972),f7(x9971,x9971,x9972)) % 1.04/1.33 [998]~P7(x9981)+E(f12(f19(f7(f2(a18),f2(a18),a14),x9981),x9982,x9981),f7(x9982,x9982,x9981)) % 1.04/1.33 [1310]~P5(x13101,x13102,a13)+P5(x13101,f9(f7(x13101,x13102,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [1311]~P5(x13111,x13112,a13)+P5(f9(f7(x13111,x13112,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),x13112,a13) % 1.04/1.33 [1352]~P4(x13521,f9(x13522,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+P4(f7(x13521,f9(x13522,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13522,a13) % 1.04/1.33 [1355]P4(x13551,f9(x13552,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P4(f7(x13551,f9(x13552,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13552,a13) % 1.04/1.33 [575]~P32(x5753)+E(f12(x5751,x5752,x5753),f12(x5752,x5751,x5753)) % 1.04/1.33 [577]~P32(x5773)+E(f7(x5771,x5772,x5773),f7(x5772,x5771,x5773)) % 1.04/1.33 [578]~P14(x5783)+E(f7(x5781,x5782,x5783),f7(x5782,x5781,x5783)) % 1.04/1.33 [654]E(x6541,x6542)+~E(f7(x6543,x6541,a29),f7(x6543,x6542,a29)) % 1.04/1.33 [655]E(x6551,x6552)+~E(f7(x6551,x6553,a29),f7(x6552,x6553,a29)) % 1.04/1.33 [807]~P4(x8071,x8073,a29)+P4(x8071,f7(x8072,x8073,a29),a29) % 1.04/1.33 [809]~P4(x8091,x8092,a29)+P4(x8091,f7(x8092,x8093,a29),a29) % 1.04/1.33 [861]P4(x8611,x8612,a29)+~P4(f7(x8613,x8611,a29),x8612,a29) % 1.04/1.33 [862]P4(x8621,x8622,a29)+~P4(f7(x8621,x8623,a29),x8622,a29) % 1.04/1.33 [930]~P4(x9302,x9303,a13)+P4(f7(x9301,x9302,a13),f7(x9301,x9303,a13),a13) % 1.04/1.33 [931]~P4(x9311,x9313,a29)+P4(f7(x9311,x9312,a29),f7(x9313,x9312,a29),a29) % 1.04/1.33 [932]~P4(x9322,x9323,a29)+P4(f7(x9321,x9322,a29),f7(x9321,x9323,a29),a29) % 1.04/1.33 [1107]P4(x11071,x11072,a29)+~P4(f7(x11073,x11071,a29),f7(x11073,x11072,a29),a29) % 1.04/1.33 [591]~P41(x5912)+E(f24(f3(a13),x5911,x5912),f24(f3(a13),x5913,x5912)) % 1.04/1.33 [595]~P41(x5952)+E(f24(x5951,f3(x5952),x5952),f24(x5953,f3(x5952),x5952)) % 1.04/1.33 [607]~P44(x6073)+E(f12(x6071,f10(x6072,x6073),x6073),f9(x6071,x6072,x6073)) % 1.04/1.33 [608]~P7(x6083)+E(f7(x6081,f4(x6082,x6083),x6083),f8(x6081,x6082,x6083)) % 1.04/1.33 [610]~P9(x6103)+E(f7(x6101,f4(x6102,x6103),x6103),f8(x6101,x6102,x6103)) % 1.04/1.33 [611]~P20(x6113)+E(f7(x6111,f4(x6112,x6113),x6113),f8(x6111,x6112,x6113)) % 1.04/1.33 [612]~P20(x6123)+E(f8(x6121,f4(x6122,x6123),x6123),f7(x6121,x6122,x6123)) % 1.04/1.33 [649]~P64(x6492)+E(f12(f4(x6491,x6492),x6493,x6492),f12(x6491,f4(x6493,x6492),x6492)) % 1.04/1.33 [650]~P64(x6502)+E(f12(f4(x6501,x6502),f4(x6503,x6502),x6502),f12(x6501,x6503,x6502)) % 1.04/1.33 [657]~P20(x6573)+E(f7(f8(x6571,x6572,x6573),x6572,x6573),x6571) % 1.04/1.33 [658]~P20(x6583)+E(f8(f7(x6581,x6582,x6583),x6582,x6583),x6581) % 1.04/1.33 [690]~P9(x6903)+E(f4(f8(x6901,x6902,x6903),x6903),f8(x6902,x6901,x6903)) % 1.04/1.33 [717]~P9(x7172)+E(f7(f4(x7171,x7172),f7(x7173,x7171,x7172),x7172),x7173) % 1.04/1.33 [718]~P20(x7182)+E(f7(f4(x7181,x7182),f7(x7181,x7183,x7182),x7182),x7183) % 1.04/1.33 [738]~P33(x7383)+E(f24(f4(x7381,a13),x7382,x7383),f4(f24(x7381,x7382,x7383),x7383)) % 1.04/1.33 [740]~P41(x7403)+E(f24(f4(x7401,a13),x7402,x7403),f4(f24(x7401,x7402,x7403),x7403)) % 1.04/1.33 [741]~P64(x7413)+E(f12(x7411,f4(x7412,x7413),x7413),f4(f12(x7411,x7412,x7413),x7413)) % 1.04/1.33 [742]~P64(x7422)+E(f12(f4(x7421,x7422),x7423,x7422),f4(f12(x7421,x7423,x7422),x7422)) % 1.04/1.33 [743]~P44(x7432)+E(f9(f4(x7431,x7432),x7433,x7432),f4(f9(x7431,x7433,x7432),x7432)) % 1.04/1.33 [745]~P34(x7453)+E(f12(x7451,f4(x7452,x7453),x7453),f4(f12(x7451,x7452,x7453),x7453)) % 1.04/1.33 [746]~P33(x7463)+E(f24(x7461,f4(x7462,x7463),x7463),f4(f24(x7461,x7462,x7463),x7463)) % 1.04/1.33 [747]~P41(x7473)+E(f24(x7471,f4(x7472,x7473),x7473),f4(f24(x7471,x7472,x7473),x7473)) % 1.04/1.33 [749]~P34(x7492)+E(f12(f4(x7491,x7492),x7493,x7492),f4(f12(x7491,x7493,x7492),x7492)) % 1.04/1.33 [750]~P40(x7502)+E(f9(f4(x7501,x7502),x7503,x7502),f4(f9(x7501,x7503,x7502),x7502)) % 1.04/1.33 [781]~P13(x7813)+E(f12(x7811,f12(x7811,x7812,x7813),x7813),f12(x7811,x7812,x7813)) % 1.04/1.33 [783]~P33(x7833)+E(f23(f24(x7831,x7832,x7833),x7833),f12(f5(x7831,a13),f23(x7832,x7833),a13)) % 1.04/1.33 [788]~P7(x7882)+E(f7(f19(x7881,x7882),f19(x7883,x7882),x7882),f19(f7(x7881,x7883,a14),x7882)) % 1.04/1.33 [790]~P38(x7902)+E(f12(f23(x7901,x7902),f23(x7903,x7902),a13),f23(f12(x7901,x7903,x7902),x7902)) % 1.04/1.33 [791]~P20(x7912)+E(f7(f4(x7911,x7912),f4(x7913,x7912),x7912),f4(f7(x7913,x7911,x7912),x7912)) % 1.04/1.33 [792]~P9(x7922)+E(f7(f4(x7921,x7922),f4(x7923,x7922),x7922),f4(f7(x7921,x7923,x7922),x7922)) % 1.04/1.33 [793]~P55(x7932)+E(f12(f5(x7931,x7932),f5(x7933,x7932),x7932),f5(f12(x7931,x7933,x7932),x7932)) % 1.04/1.33 [794]~P9(x7942)+E(f8(f4(x7941,x7942),f4(x7943,x7942),x7942),f4(f8(x7941,x7943,x7942),x7942)) % 1.04/1.33 [815]~P25(x8153)+E(f5(f8(x8151,x8152,x8153),x8153),f5(f8(x8152,x8151,x8153),x8153)) % 1.04/1.33 [816]~P33(x8163)+E(f23(f8(x8161,x8162,x8163),x8163),f23(f8(x8162,x8161,x8163),x8163)) % 1.04/1.33 [1124]~P34(x11243)+P4(f23(f12(x11241,x11242,x11243),x11243),f12(f23(x11241,x11243),f23(x11242,x11243),a13),a13) % 1.04/1.33 [1125]~P33(x11253)+P4(f23(f7(x11251,x11252,x11253),x11253),f7(f23(x11251,x11253),f23(x11252,x11253),a13),a13) % 1.04/1.33 [1126]~P33(x11263)+P4(f23(f8(x11261,x11262,x11263),x11263),f7(f23(x11261,x11263),f23(x11262,x11263),a13),a13) % 1.04/1.33 [1127]~P33(x11272)+P4(f8(f23(x11271,x11272),f23(x11273,x11272),a13),f23(f7(x11271,x11273,x11272),x11272),a13) % 1.04/1.33 [1128]~P33(x11282)+P4(f8(f23(x11281,x11282),f23(x11283,x11282),a13),f23(f8(x11281,x11283,x11282),x11282),a13) % 1.04/1.33 [1130]~P48(x11303)+P4(f5(f12(x11301,x11302,x11303),x11303),f12(f5(x11301,x11303),f5(x11302,x11303),x11303),x11303) % 1.04/1.33 [1131]~P25(x11313)+P4(f5(f7(x11311,x11312,x11313),x11313),f7(f5(x11311,x11313),f5(x11312,x11313),x11313),x11313) % 1.04/1.33 [1132]~P25(x11323)+P4(f5(f8(x11321,x11322,x11323),x11323),f7(f5(x11321,x11323),f5(x11322,x11323),x11323),x11323) % 1.04/1.33 [1133]~P25(x11332)+P4(f8(f5(x11331,x11332),f5(x11333,x11332),x11332),f5(f8(x11331,x11333,x11332),x11332),x11332) % 1.04/1.33 [1211]~P54(x12111)+P4(f3(x12111),f7(f12(x12112,x12112,x12111),f12(x12113,x12113,x12111),x12111),x12111) % 1.04/1.33 [1307]~P54(x13071)+~P5(f7(f12(x13072,x13072,x13071),f12(x13073,x13073,x13071),x13071),f3(x13071),x13071) % 1.04/1.33 [780]~P20(x7802)+E(f7(x7801,f7(f4(x7801,x7802),x7803,x7802),x7802),x7803) % 1.04/1.33 [925]~P25(x9252)+E(f5(f7(f5(x9251,x9252),f5(x9253,x9252),x9252),x9252),f7(f5(x9251,x9252),f5(x9253,x9252),x9252)) % 1.04/1.33 [926]~P32(x9263)+E(f7(x9261,f12(x9262,x9261,x9263),x9263),f12(f7(x9262,f11(x9263),x9263),x9261,x9263)) % 1.04/1.33 [927]~P32(x9273)+E(f7(f12(x9271,x9272,x9273),x9272,x9273),f12(f7(x9271,f11(x9273),x9273),x9272,x9273)) % 1.04/1.33 [1263]~P33(x12632)+P4(f5(f8(f23(x12631,x12632),f23(x12633,x12632),a13),a13),f23(f8(x12631,x12633,x12632),x12632),a13) % 1.04/1.33 [1272]~P25(x12722)+P4(f5(f8(f5(x12721,x12722),f5(x12723,x12722),x12722),x12722),f5(f8(x12721,x12723,x12722),x12722),x12722) % 1.04/1.33 [1336]~E(f12(f19(f7(f2(a18),f2(a18),a14),a13),x13361,a13),f9(x13362,x13363,a13))+E(x13361,f9(x13362,f12(f19(f7(f2(a18),f2(a18),a14),a13),x13363,a13),a13)) % 1.04/1.33 [881]~P41(x8814)+E(f24(x8811,f24(x8812,x8813,x8814),x8814),f24(f12(x8811,x8812,a13),x8813,x8814)) % 1.04/1.33 [887]~P32(x8874)+E(f12(x8871,f12(x8872,x8873,x8874),x8874),f12(x8872,f12(x8871,x8873,x8874),x8874)) % 1.04/1.33 [888]~P32(x8884)+E(f7(x8881,f7(x8882,x8883,x8884),x8884),f7(x8882,f7(x8881,x8883,x8884),x8884)) % 1.04/1.33 [889]~P14(x8894)+E(f7(x8891,f7(x8892,x8893,x8894),x8894),f7(x8892,f7(x8891,x8893,x8894),x8894)) % 1.04/1.33 [890]~P9(x8904)+E(f7(x8901,f7(x8902,x8903,x8904),x8904),f7(x8902,f7(x8901,x8903,x8904),x8904)) % 1.04/1.33 [892]~P34(x8924)+E(f24(x8921,f12(x8922,x8923,x8924),x8924),f12(x8922,f24(x8921,x8923,x8924),x8924)) % 1.04/1.33 [893]~P35(x8934)+E(f24(x8931,f12(x8932,x8933,x8934),x8934),f12(x8932,f24(x8931,x8933,x8934),x8934)) % 1.04/1.33 [895]~P33(x8954)+E(f24(x8951,f24(x8952,x8953,x8954),x8954),f24(x8952,f24(x8951,x8953,x8954),x8954)) % 1.04/1.33 [896]~P41(x8964)+E(f24(x8961,f24(x8962,x8963,x8964),x8964),f24(x8962,f24(x8961,x8963,x8964),x8964)) % 1.04/1.33 [901]~P32(x9013)+E(f12(f12(x9011,x9012,x9013),x9014,x9013),f12(x9011,f12(x9012,x9014,x9013),x9013)) % 1.04/1.33 [902]~P8(x9023)+E(f12(f12(x9021,x9022,x9023),x9024,x9023),f12(x9021,f12(x9022,x9024,x9023),x9023)) % 1.04/1.33 [904]~P34(x9044)+E(f24(x9041,f12(x9042,x9043,x9044),x9044),f12(f24(x9041,x9042,x9044),x9043,x9044)) % 1.04/1.33 [905]~P35(x9054)+E(f24(x9051,f12(x9052,x9053,x9054),x9054),f12(f24(x9051,x9052,x9054),x9053,x9054)) % 1.04/1.33 [906]~P40(x9064)+E(f24(x9061,f9(x9062,x9063,x9064),x9064),f9(f24(x9061,x9062,x9064),x9063,x9064)) % 1.04/1.33 [907]~P32(x9073)+E(f7(f7(x9071,x9072,x9073),x9074,x9073),f7(x9071,f7(x9072,x9074,x9073),x9073)) % 1.04/1.33 [908]~P14(x9083)+E(f7(f7(x9081,x9082,x9083),x9084,x9083),f7(x9081,f7(x9082,x9084,x9083),x9083)) % 1.04/1.33 [909]~P12(x9093)+E(f7(f7(x9091,x9092,x9093),x9094,x9093),f7(x9091,f7(x9092,x9094,x9093),x9093)) % 1.04/1.33 [910]~P32(x9103)+E(f12(f12(x9101,x9102,x9103),x9104,x9103),f12(f12(x9101,x9104,x9103),x9102,x9103)) % 1.04/1.33 [911]~P32(x9113)+E(f7(f7(x9111,x9112,x9113),x9114,x9113),f7(f7(x9111,x9114,x9113),x9112,x9113)) % 1.04/1.33 [1046]~P33(x10463)+E(f7(f24(x10461,x10462,x10463),f24(x10464,x10462,x10463),x10463),f24(f7(x10461,x10464,a13),x10462,x10463)) % 1.04/1.33 [1048]~P41(x10483)+E(f7(f24(x10481,x10482,x10483),f24(x10484,x10482,x10483),x10483),f24(f7(x10481,x10484,a13),x10482,x10483)) % 1.04/1.33 [1049]~P33(x10493)+E(f8(f24(x10491,x10492,x10493),f24(x10494,x10492,x10493),x10493),f24(f8(x10491,x10494,a13),x10492,x10493)) % 1.04/1.33 [1051]~P41(x10513)+E(f8(f24(x10511,x10512,x10513),f24(x10514,x10512,x10513),x10513),f24(f8(x10511,x10514,a13),x10512,x10513)) % 1.04/1.33 [1052]~P32(x10523)+E(f7(f12(x10521,x10522,x10523),f12(x10521,x10524,x10523),x10523),f12(x10521,f7(x10522,x10524,x10523),x10523)) % 1.04/1.33 [1054]~P34(x10543)+E(f7(f12(x10541,x10542,x10543),f12(x10541,x10544,x10543),x10543),f12(x10541,f7(x10542,x10544,x10543),x10543)) % 1.04/1.33 [1056]~P34(x10563)+E(f8(f12(x10561,x10562,x10563),f12(x10561,x10564,x10563),x10563),f12(x10561,f8(x10562,x10564,x10563),x10563)) % 1.04/1.33 [1057]~P33(x10573)+E(f7(f24(x10571,x10572,x10573),f24(x10571,x10574,x10573),x10573),f24(x10571,f7(x10572,x10574,x10573),x10573)) % 1.04/1.33 [1058]~P41(x10583)+E(f7(f24(x10581,x10582,x10583),f24(x10581,x10584,x10583),x10583),f24(x10581,f7(x10582,x10584,x10583),x10583)) % 1.04/1.33 [1059]~P33(x10593)+E(f8(f24(x10591,x10592,x10593),f24(x10591,x10594,x10593),x10593),f24(x10591,f8(x10592,x10594,x10593),x10593)) % 1.04/1.33 [1060]~P41(x10603)+E(f8(f24(x10601,x10602,x10603),f24(x10601,x10604,x10603),x10603),f24(x10601,f8(x10602,x10604,x10603),x10603)) % 1.04/1.33 [1063]~P34(x10633)+E(f7(f12(x10631,x10632,x10633),f12(x10634,x10632,x10633),x10633),f12(f7(x10631,x10634,x10633),x10632,x10633)) % 1.04/1.33 [1064]~P42(x10643)+E(f7(f12(x10641,x10642,x10643),f12(x10644,x10642,x10643),x10643),f12(f7(x10641,x10644,x10643),x10642,x10643)) % 1.04/1.33 [1066]~P34(x10663)+E(f8(f12(x10661,x10662,x10663),f12(x10664,x10662,x10663),x10663),f12(f8(x10661,x10664,x10663),x10662,x10663)) % 1.04/1.33 [1067]~P44(x10673)+E(f7(f9(x10671,x10672,x10673),f9(x10674,x10672,x10673),x10673),f9(f7(x10671,x10674,x10673),x10672,x10673)) % 1.04/1.33 [1068]~P40(x10683)+E(f7(f9(x10681,x10682,x10683),f9(x10684,x10682,x10683),x10683),f9(f7(x10681,x10684,x10683),x10682,x10683)) % 1.04/1.33 [1069]~P44(x10693)+E(f8(f9(x10691,x10692,x10693),f9(x10694,x10692,x10693),x10693),f9(f8(x10691,x10694,x10693),x10692,x10693)) % 1.04/1.33 [1070]~P40(x10703)+E(f8(f9(x10701,x10702,x10703),f9(x10704,x10702,x10703),x10703),f9(f8(x10701,x10704,x10703),x10702,x10703)) % 1.04/1.33 [1071]~P32(x10713)+E(f7(f12(x10711,x10712,x10713),f12(x10714,x10712,x10713),x10713),f12(f7(x10711,x10714,x10713),x10712,x10713)) % 1.04/1.33 [1151]~P7(x11512)+E(f7(f19(x11511,x11512),f7(f19(x11513,x11512),x11514,x11512),x11512),f7(f19(f7(x11511,x11513,a14),x11512),x11514,x11512)) % 1.04/1.33 [1152]~P7(x11522)+E(f7(f19(x11521,x11522),f8(f19(x11523,x11522),x11524,x11522),x11522),f8(f19(f7(x11521,x11523,a14),x11522),x11524,x11522)) % 1.04/1.33 [1155]~P32(x11553)+E(f12(f12(x11551,x11552,x11553),f12(x11554,x11555,x11553),x11553),f12(f12(x11551,x11554,x11553),f12(x11552,x11555,x11553),x11553)) % 1.04/1.33 [1156]~P32(x11563)+E(f7(f7(x11561,x11562,x11563),f7(x11564,x11565,x11563),x11563),f7(f7(x11561,x11564,x11563),f7(x11562,x11565,x11563),x11563)) % 1.04/1.33 [1157]~P9(x11573)+E(f8(f7(x11571,x11572,x11573),f7(x11574,x11575,x11573),x11573),f7(f8(x11571,x11574,x11573),f8(x11572,x11575,x11573),x11573)) % 1.04/1.33 [1304]~P66(x13043)+E(f7(f12(x13041,x13042,x13043),f7(f12(x13044,x13042,x13043),x13045,x13043),x13043),f7(f12(f7(x13041,x13044,x13043),x13042,x13043),x13045,x13043)) % 1.04/1.33 [1350]~P33(x13503)+P4(f23(f8(f7(x13501,x13502,x13503),f7(x13504,x13505,x13503),x13503),x13503),f7(f23(f8(x13501,x13504,x13503),x13503),f23(f8(x13502,x13505,x13503),x13503),a13),a13) % 1.04/1.33 [1351]~P25(x13513)+P4(f5(f8(f7(x13511,x13512,x13513),f7(x13514,x13515,x13513),x13513),x13513),f7(f5(f8(x13511,x13514,x13513),x13513),f5(f8(x13512,x13515,x13513),x13513),x13513),x13513) % 1.04/1.33 [1353]~P33(x13535)+E(f7(f7(f24(f8(x13531,x13532,a13),f8(x13533,x13534,x13535),x13535),f24(f8(x13531,x13532,a13),x13534,x13535),x13535),f24(x13532,f8(x13533,x13534,x13535),x13535),x13535),f8(f24(x13531,x13533,x13535),f24(x13532,x13534,x13535),x13535)) % 1.04/1.33 [1354]~P34(x13543)+E(f7(f7(f12(f8(x13541,x13542,x13543),f8(x13544,x13545,x13543),x13543),f12(f8(x13541,x13542,x13543),x13545,x13543),x13543),f12(x13542,f8(x13544,x13545,x13543),x13543),x13543),f8(f12(x13541,x13544,x13543),f12(x13542,x13545,x13543),x13543)) % 1.04/1.33 [1332]~P64(x13323)+E(f7(f12(x13321,x13322,x13323),f7(f12(f8(x13324,x13321,x13323),x13322,x13323),x13325,x13323),x13323),f7(f12(x13324,x13322,x13323),x13325,x13323)) % 1.04/1.33 [1348]~P37(x13484)+E(f7(f12(x13481,f9(f8(x13482,x13483,x13484),x13485,x13484),x13484),f12(f9(f8(x13481,x13486,x13484),x13485,x13484),x13483,x13484),x13484),f9(f8(f12(x13481,x13482,x13484),f12(x13486,x13483,x13484),x13484),x13485,x13484)) % 1.04/1.33 [425]~P24(x4251)+~P44(x4251)+E(f10(f11(x4251),x4251),f11(x4251)) % 1.04/1.33 [447]~P7(x4471)+~P55(x4471)+E(f5(f19(a1,x4471),x4471),f11(x4471)) % 1.04/1.33 [692]~P27(x6921)+~P4(f3(x6921),f3(x6921),x6921)+E(f7(f3(x6921),f3(x6921),x6921),f3(x6921)) % 1.04/1.33 [501]~P44(x5011)+~P7(x5011)+E(f10(f19(f2(a18),x5011),x5011),f19(f2(a18),x5011)) % 1.04/1.33 [1335]~P5(f3(a13),x13351,a13)+P5(f3(a13),f25(x13351),a13)+~P5(x13351,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13) % 1.04/1.33 [1337]~P5(x13371,f3(a13),a13)+P5(f25(x13371),f3(a13),a13)+~P5(f9(f4(a16,a13),f19(f7(f2(a18),f2(a18),a14),a13),a13),x13371,a13) % 1.04/1.33 [1356]E(f27(f25(x13561)),x13561)+~P5(x13561,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13561,a13) % 1.04/1.33 [1357]E(f20(f25(x13571)),x13571)+~P5(x13571,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13571,a13) % 1.04/1.33 [604]E(x6041,x6042)+P5(x6041,x6042,a13)+~P4(x6041,x6042,a13) % 1.04/1.33 [659]E(x6591,x6592)+~P4(x6592,x6591,a13)+~P4(x6591,x6592,a13) % 1.04/1.33 [660]E(x6601,x6602)+~P4(x6602,x6601,a29)+~P4(x6601,x6602,a29) % 1.04/1.33 [422]~P65(x4222)+~P6(x4221,x4222)+E(x4221,f3(x4222)) % 1.04/1.33 [423]~P23(x4232)+~E(f4(x4231,x4232),x4231)+E(x4231,f3(x4232)) % 1.04/1.33 [426]~P33(x4262)+E(x4261,f3(x4262))+~E(f23(x4261,x4262),f3(a13)) % 1.04/1.33 [430]~P45(x4302)+~E(f10(x4301,x4302),f3(x4302))+E(x4301,f3(x4302)) % 1.04/1.33 [431]~P20(x4312)+~E(f4(x4311,x4312),f3(x4312))+E(x4311,f3(x4312)) % 1.04/1.33 [432]~P25(x4322)+~E(f5(x4321,x4322),f3(x4322))+E(x4321,f3(x4322)) % 1.04/1.33 [433]~P20(x4331)+~E(f4(x4332,x4331),f3(x4331))+E(f3(x4331),x4332) % 1.04/1.33 [481]~P44(x4812)+E(f9(x4811,x4811,x4812),f11(x4812))+E(x4811,f3(x4812)) % 1.04/1.33 [497]~P47(x4972)+~P7(x4972)+E(f8(x4971,x4971,x4972),f3(x4972)) % 1.04/1.33 [510]~P43(x5102)+P5(x5101,f3(x5102),x5102)+E(f5(x5101,x5102),x5101) % 1.04/1.33 [536]~P33(x5362)+E(x5361,f3(x5362))+P5(f3(a13),f23(x5361,x5362),a13) % 1.04/1.33 [544]~P25(x5442)+P5(f3(x5442),f5(x5441,x5442),x5442)+E(x5441,f3(x5442)) % 1.04/1.33 [554]~P19(x5542)+~E(f7(x5541,x5541,x5542),f3(x5542))+E(x5541,f3(x5542)) % 1.04/1.33 [584]~P25(x5842)+~P4(f3(x5842),x5841,x5842)+E(f5(x5841,x5842),x5841) % 1.04/1.33 [585]~P25(x5852)+~P5(f3(x5852),x5851,x5852)+E(f5(x5851,x5852),x5851) % 1.04/1.33 [596]~P25(x5962)+~P4(x5961,f3(x5962),x5962)+E(f4(x5961,x5962),f5(x5961,x5962)) % 1.04/1.33 [597]~P25(x5972)+~P5(x5971,f3(x5972),x5972)+E(f4(x5971,x5972),f5(x5971,x5972)) % 1.04/1.33 [598]~P43(x5982)+~P5(x5981,f3(x5982),x5982)+E(f4(x5981,x5982),f5(x5981,x5982)) % 1.04/1.33 [606]~P33(x6062)+E(x6061,f3(x6062))+~P4(f23(x6061,x6062),f3(a13),a13) % 1.04/1.33 [617]~P25(x6172)+~P4(f5(x6171,x6172),f3(x6172),x6172)+E(x6171,f3(x6172)) % 1.04/1.33 [693]~P19(x6932)+~P4(x6931,f3(x6932),x6932)+P4(x6931,f4(x6931,x6932),x6932) % 1.04/1.33 [694]~P23(x6942)+~P4(x6941,f3(x6942),x6942)+P4(x6941,f4(x6941,x6942),x6942) % 1.04/1.33 [695]~P55(x6952)+~P5(x6951,f3(x6952),x6952)+P5(x6951,f4(x6951,x6952),x6952) % 1.04/1.33 [696]~P19(x6962)+~P4(f3(x6962),x6961,x6962)+P4(f4(x6961,x6962),x6961,x6962) % 1.04/1.33 [697]~P23(x6972)+~P4(f3(x6972),x6971,x6972)+P4(f4(x6971,x6972),x6971,x6972) % 1.04/1.33 [704]~P2(x7041)+~P4(x7042,f3(x7041),x7041)+P4(f3(x7041),f4(x7042,x7041),x7041) % 1.04/1.33 [705]~P2(x7051)+~P5(x7052,f3(x7051),x7051)+P5(f3(x7051),f4(x7052,x7051),x7051) % 1.04/1.33 [706]~P49(x7061)+~P5(f3(x7061),x7062,x7061)+P5(f3(x7061),f10(x7062,x7061),x7061) % 1.04/1.33 [707]~P49(x7072)+~P5(x7071,f3(x7072),x7072)+P5(f10(x7071,x7072),f3(x7072),x7072) % 1.04/1.33 [708]~P2(x7082)+~P4(f3(x7082),x7081,x7082)+P4(f4(x7081,x7082),f3(x7082),x7082) % 1.04/1.33 [709]~P2(x7092)+~P5(f3(x7092),x7091,x7092)+P5(f4(x7091,x7092),f3(x7092),x7092) % 1.04/1.33 [712]~P19(x7122)+~P4(x7121,f4(x7121,x7122),x7122)+P4(x7121,f3(x7122),x7122) % 1.04/1.33 [713]~P23(x7132)+~P4(x7131,f4(x7131,x7132),x7132)+P4(x7131,f3(x7132),x7132) % 1.04/1.33 [714]~P55(x7142)+~P5(x7141,f4(x7141,x7142),x7142)+P5(x7141,f3(x7142),x7142) % 1.04/1.33 [715]~P19(x7151)+~P4(f4(x7152,x7151),x7152,x7151)+P4(f3(x7151),x7152,x7151) % 1.04/1.33 [716]~P23(x7161)+~P4(f4(x7162,x7161),x7162,x7161)+P4(f3(x7161),x7162,x7161) % 1.04/1.33 [734]~P2(x7342)+~P4(f3(x7342),f4(x7341,x7342),x7342)+P4(x7341,f3(x7342),x7342) % 1.04/1.33 [735]~P2(x7352)+~P5(f3(x7352),f4(x7351,x7352),x7352)+P5(x7351,f3(x7352),x7352) % 1.04/1.33 [736]~P2(x7361)+~P4(f4(x7362,x7361),f3(x7361),x7361)+P4(f3(x7361),x7362,x7361) % 1.04/1.33 [737]~P2(x7371)+~P5(f4(x7372,x7371),f3(x7371),x7371)+P5(f3(x7371),x7372,x7371) % 1.04/1.33 [823]~P19(x8231)+~P4(f3(x8231),x8232,x8231)+P4(f3(x8231),f7(x8232,x8232,x8231),x8231) % 1.04/1.33 [824]~P19(x8241)+~P5(f3(x8241),x8242,x8241)+P5(f3(x8241),f7(x8242,x8242,x8241),x8241) % 1.04/1.33 [825]~P19(x8252)+~P4(x8251,f3(x8252),x8252)+P4(f7(x8251,x8251,x8252),f3(x8252),x8252) % 1.04/1.33 [826]~P55(x8262)+~P5(x8261,f3(x8262),x8262)+P5(f7(x8261,x8261,x8262),f3(x8262),x8262) % 1.04/1.33 [827]~P19(x8272)+~P5(x8271,f3(x8272),x8272)+P5(f7(x8271,x8271,x8272),f3(x8272),x8272) % 1.04/1.33 [841]~P4(x8411,x8412,a13)+~P4(f4(x8412,a13),x8411,a13)+P4(f5(x8411,a13),x8412,a13) % 1.04/1.33 [913]~P19(x9132)+~P4(f7(x9131,x9131,x9132),f3(x9132),x9132)+P4(x9131,f3(x9132),x9132) % 1.04/1.33 [914]~P55(x9142)+~P5(f7(x9141,x9141,x9142),f3(x9142),x9142)+P5(x9141,f3(x9142),x9142) % 1.04/1.33 [915]~P19(x9152)+~P5(f7(x9151,x9151,x9152),f3(x9152),x9152)+P5(x9151,f3(x9152),x9152) % 1.04/1.33 [916]~P19(x9161)+~P4(f3(x9161),f7(x9162,x9162,x9161),x9161)+P4(f3(x9161),x9162,x9161) % 1.04/1.33 [917]~P19(x9171)+~P5(f3(x9171),f7(x9172,x9172,x9171),x9171)+P5(f3(x9171),x9172,x9171) % 1.04/1.33 [920]~P4(x9202,f3(a13),a13)+~P4(x9201,f3(a13),a13)+P4(f3(a13),f9(x9201,x9202,a13),a13) % 1.04/1.33 [921]~P4(x9212,f3(a13),a13)+~P4(f3(a13),x9212,a13)+P4(f3(a13),f9(x9211,x9212,a13),a13) % 1.04/1.33 [922]~P4(x9221,f3(a13),a13)+~P4(f3(a13),x9221,a13)+P4(f3(a13),f9(x9221,x9222,a13),a13) % 1.04/1.33 [923]~P4(f3(a13),x9232,a13)+~P4(f3(a13),x9231,a13)+P4(f3(a13),f9(x9231,x9232,a13),a13) % 1.04/1.33 [924]~P5(f3(a13),x9242,a13)+~P5(f3(a13),x9241,a13)+P5(f3(a13),f12(x9241,x9242,a13),a13) % 1.04/1.33 [952]P4(x9521,f3(a13),a13)+P4(f3(a13),x9522,a13)+~P4(f3(a13),f9(x9521,x9522,a13),a13) % 1.04/1.33 [953]P4(x9531,f3(a13),a13)+P4(f3(a13),x9532,a13)+~P4(f3(a13),f9(x9532,x9531,a13),a13) % 1.04/1.33 [443]~P45(x4432)+E(x4431,f3(x4432))+E(f10(f10(x4431,x4432),x4432),x4431) % 1.04/1.33 [446]~P24(x4462)+~P45(x4462)+E(f10(f10(x4461,x4462),x4462),x4461) % 1.04/1.33 [500]~P47(x5002)+~P7(x5002)+E(f7(x5001,f3(x5002),x5002),x5001) % 1.04/1.33 [506]~P24(x5062)+~P44(x5062)+E(f9(x5061,f3(x5062),x5062),f3(x5062)) % 1.04/1.33 [520]~P7(x5202)+~P39(x5202)+E(f23(f19(x5201,x5202),x5202),f5(f19(x5201,a13),a13)) % 1.04/1.33 [526]~P45(x5262)+E(x5261,f3(x5262))+E(f10(f4(x5261,x5262),x5262),f4(f10(x5261,x5262),x5262)) % 1.04/1.33 [527]~P49(x5272)+E(x5271,f3(x5272))+E(f10(f5(x5271,x5272),x5272),f5(f10(x5271,x5272),x5272)) % 1.04/1.33 [532]~P24(x5322)+~P45(x5322)+E(f10(f4(x5321,x5322),x5322),f4(f10(x5321,x5322),x5322)) % 1.04/1.33 [533]~P49(x5332)+~P24(x5332)+E(f10(f5(x5331,x5332),x5332),f5(f10(x5331,x5332),x5332)) % 1.04/1.33 [538]~P10(x5381)+~P7(x5381)+~P6(f19(f2(x5382),x5381),x5381) % 1.04/1.33 [539]~P45(x5392)+E(x5391,f3(x5392))+E(f12(x5391,f10(x5391,x5392),x5392),f11(x5392)) % 1.04/1.33 [540]~P44(x5402)+E(x5401,f3(x5402))+E(f12(f10(x5401,x5402),x5401,x5402),f11(x5402)) % 1.04/1.33 [541]~P45(x5412)+E(x5411,f3(x5412))+E(f12(f10(x5411,x5412),x5411,x5412),f11(x5412)) % 1.04/1.33 [1218]P5(f4(a38,a13),x12181,a13)+~P4(f23(x12182,a15),a30,a13)+~P5(f23(f22(a36,x12182,a15),a15),x12181,a13) % 1.04/1.33 [551]~P44(x5512)+~P7(x5512)+E(f9(x5511,f19(f2(a18),x5512),x5512),x5511) % 1.04/1.33 [711]~P24(x7111)+~P44(x7111)+E(f9(f12(f3(x7111),x7112,x7111),x7112,x7111),f3(x7111)) % 1.04/1.33 [579]P4(x5792,x5791,x5793)+~P31(x5793)+P4(x5791,x5792,x5793) % 1.04/1.33 [582]P5(x5822,x5821,x5823)+~P31(x5823)+P4(x5821,x5822,x5823) % 1.04/1.33 [615]~P26(x6153)+~P5(x6151,x6152,x6153)+P4(x6151,x6152,x6153) % 1.04/1.33 [616]~P36(x6163)+~P5(x6161,x6162,x6163)+P4(x6161,x6162,x6163) % 1.04/1.33 [669]~P5(x6693,x6692,x6691)+~P26(x6691)+~P5(x6692,x6693,x6691) % 1.04/1.33 [670]~P5(x6703,x6702,x6701)+~P36(x6701)+~P4(x6702,x6703,x6701) % 1.04/1.33 [672]~P5(x6723,x6722,x6721)+~P36(x6721)+~P5(x6722,x6723,x6721) % 1.04/1.33 [674]~P5(x6743,x6742,x6741)+~P31(x6741)+~P4(x6742,x6743,x6741) % 1.04/1.33 [676]~P5(x6763,x6762,x6761)+~P31(x6761)+~P5(x6762,x6763,x6761) % 1.04/1.33 [778]~P4(x7781,x7783,a13)+P4(x7781,x7782,a13)+~P4(x7783,x7782,a13) % 1.04/1.33 [779]~P4(x7791,x7793,a29)+P4(x7791,x7792,a29)+~P4(x7793,x7792,a29) % 1.04/1.33 [444]~P20(x4443)+E(x4441,x4442)+~E(f4(x4441,x4443),f4(x4442,x4443)) % 1.04/1.33 [445]~P11(x4453)+E(x4451,x4452)+~E(f4(x4451,x4453),f4(x4452,x4453)) % 1.04/1.33 [548]~P9(x5483)+E(x5481,x5482)+~E(f8(x5481,x5482,x5483),f3(x5483)) % 1.04/1.33 [549]~P20(x5493)+E(x5491,x5492)+~E(f8(x5491,x5492,x5493),f3(x5493)) % 1.04/1.33 [571]~P20(x5713)+~E(f7(x5711,x5712,x5713),f3(x5713))+E(x5711,f4(x5712,x5713)) % 1.04/1.33 [572]~P45(x5722)+~E(f12(x5721,x5723,x5722),f11(x5722))+E(f10(x5721,x5722),x5723) % 1.04/1.33 [573]~P20(x5732)+~E(f7(x5731,x5733,x5732),f3(x5732))+E(f4(x5731,x5732),x5733) % 1.04/1.33 [661]E(x6611,x6612)+~E(f12(x6613,x6611,a13),f12(x6613,x6612,a13))+E(x6613,f3(a13)) % 1.04/1.33 [662]E(x6621,x6622)+~E(f12(x6621,x6623,a13),f12(x6622,x6623,a13))+E(x6623,f3(a13)) % 1.04/1.33 [701]~P25(x7013)+P4(x7011,x7012,x7013)+~P4(f5(x7011,x7013),x7012,x7013) % 1.04/1.33 [702]~P55(x7023)+P5(x7021,x7022,x7023)+~P5(f5(x7021,x7023),x7022,x7023) % 1.04/1.33 [730]~P2(x7302)+~P4(x7303,x7301,x7302)+P4(f4(x7301,x7302),f4(x7303,x7302),x7302) % 1.04/1.33 [731]~P2(x7312)+~P5(x7313,x7311,x7312)+P5(f4(x7311,x7312),f4(x7313,x7312),x7312) % 1.04/1.33 [764]~P2(x7643)+~P4(x7642,f4(x7641,x7643),x7643)+P4(x7641,f4(x7642,x7643),x7643) % 1.04/1.33 [766]~P2(x7663)+~P5(x7662,f4(x7661,x7663),x7663)+P5(x7661,f4(x7662,x7663),x7663) % 1.04/1.33 [768]~P2(x7682)+~P4(f4(x7683,x7682),x7681,x7682)+P4(f4(x7681,x7682),x7683,x7682) % 1.04/1.33 [769]~P25(x7692)+~P4(f5(x7691,x7692),x7693,x7692)+P4(f4(x7691,x7692),x7693,x7692) % 1.04/1.33 [771]~P2(x7712)+~P5(f4(x7713,x7712),x7711,x7712)+P5(f4(x7711,x7712),x7713,x7712) % 1.04/1.33 [772]~P55(x7722)+~P5(f5(x7721,x7722),x7723,x7722)+P5(f4(x7721,x7722),x7723,x7722) % 1.04/1.33 [784]~P2(x7843)+P4(x7841,x7842,x7843)+~P4(f4(x7842,x7843),f4(x7841,x7843),x7843) % 1.04/1.33 [785]~P2(x7853)+P5(x7851,x7852,x7853)+~P5(f4(x7852,x7853),f4(x7851,x7853),x7853) % 1.04/1.33 [819]~P2(x8193)+~P4(x8191,x8192,x8193)+P4(f8(x8191,x8192,x8193),f3(x8193),x8193) % 1.04/1.33 [820]~P2(x8203)+~P5(x8201,x8202,x8203)+P5(f8(x8201,x8202,x8203),f3(x8203),x8203) % 1.04/1.33 [866]~P19(x8663)+~P4(x8661,f4(x8662,x8663),x8663)+P4(f7(x8661,x8662,x8663),f3(x8663),x8663) % 1.04/1.33 [874]~P2(x8743)+P4(x8741,x8742,x8743)+~P4(f8(x8741,x8742,x8743),f3(x8743),x8743) % 1.04/1.33 [875]~P2(x8753)+P5(x8751,x8752,x8753)+~P5(f8(x8751,x8752,x8753),f3(x8753),x8753) % 1.04/1.33 [912]~P5(x9123,x9122,a13)+~P5(x9121,x9123,a13)+P5(f3(a13),f6(x9121,x9122,x9123),a13) % 1.04/1.33 [935]~P19(x9353)+~P4(f7(x9351,x9352,x9353),f3(x9353),x9353)+P4(x9351,f4(x9352,x9353),x9353) % 1.04/1.33 [1042]~P4(x10421,x10423,a13)+P4(f12(x10421,x10422,a13),f12(x10423,x10422,a13),a13)+~P5(f3(a13),x10422,a13) % 1.04/1.33 [1043]~P4(x10432,x10433,a13)+P4(f12(x10431,x10432,a13),f12(x10431,x10433,a13),a13)+~P5(f3(a13),x10431,a13) % 1.04/1.33 [1044]~P5(x10441,x10443,a13)+P5(f12(x10441,x10442,a13),f12(x10443,x10442,a13),a13)+~P5(f3(a13),x10442,a13) % 1.04/1.33 [1045]~P5(x10452,x10453,a13)+P5(f12(x10451,x10452,a13),f12(x10451,x10453,a13),a13)+~P5(f3(a13),x10451,a13) % 1.04/1.33 [1167]P4(x11671,x11672,a13)+~P4(f12(x11673,x11671,a13),f12(x11673,x11672,a13),a13)+~P5(f3(a13),x11673,a13) % 1.04/1.33 [1168]P4(x11681,x11682,a13)+~P4(f12(x11681,x11683,a13),f12(x11682,x11683,a13),a13)+~P5(f3(a13),x11683,a13) % 1.04/1.33 [1169]P5(x11691,x11692,a13)+~P5(f12(x11691,x11693,a13),f12(x11692,x11693,a13),a13)+~P5(f3(a13),x11693,a13) % 1.04/1.33 [664]~P44(x6642)+E(x6641,f3(x6642))+E(f9(f4(x6643,x6642),f4(x6641,x6642),x6642),f9(x6643,x6641,x6642)) % 1.04/1.33 [667]~P44(x6672)+E(x6671,f3(x6672))+E(f9(f12(x6673,x6671,x6672),x6671,x6672),x6673) % 1.04/1.33 [668]~P24(x6682)+~P44(x6682)+E(f9(f4(x6681,x6682),f4(x6683,x6682),x6682),f9(x6681,x6683,x6682)) % 1.04/1.33 [703]~P24(x7033)+~P44(x7033)+E(f10(f9(x7031,x7032,x7033),x7033),f9(x7032,x7031,x7033)) % 1.04/1.33 [762]~P44(x7622)+E(x7621,f3(x7622))+E(f9(x7623,f4(x7621,x7622),x7622),f4(f9(x7623,x7621,x7622),x7622)) % 1.04/1.33 [773]~P24(x7733)+~P44(x7733)+E(f9(x7731,f4(x7732,x7733),x7733),f4(f9(x7731,x7732,x7733),x7733)) % 1.04/1.33 [803]~P40(x8032)+E(x8031,f3(x8032))+E(f9(f23(x8033,x8032),f23(x8031,x8032),a13),f23(f9(x8033,x8031,x8032),x8032)) % 1.04/1.33 [804]~P49(x8042)+E(x8041,f3(x8042))+E(f9(f5(x8043,x8042),f5(x8041,x8042),x8042),f5(f9(x8043,x8041,x8042),x8042)) % 1.04/1.33 [805]~P24(x8052)+~P40(x8052)+E(f9(f23(x8051,x8052),f23(x8053,x8052),a13),f23(f9(x8051,x8053,x8052),x8052)) % 1.04/1.33 [810]~P24(x8102)+~P44(x8102)+E(f12(f10(x8101,x8102),f10(x8103,x8102),x8102),f10(f12(x8101,x8103,x8102),x8102)) % 1.04/1.33 [811]~P49(x8112)+~P24(x8112)+E(f9(f5(x8111,x8112),f5(x8113,x8112),x8112),f5(f9(x8111,x8113,x8112),x8112)) % 1.04/1.33 [867]~P55(x8672)+~P4(f3(x8672),x8673,x8672)+E(f12(f5(x8671,x8672),x8673,x8672),f5(f12(x8671,x8673,x8672),x8672)) % 1.04/1.33 [1072]~P54(x10722)+E(x10721,f3(x10722))+~E(f7(f12(x10723,x10723,x10722),f12(x10721,x10721,x10722),x10722),f3(x10722)) % 1.04/1.33 [1073]~P54(x10732)+E(x10731,f3(x10732))+~E(f7(f12(x10731,x10731,x10732),f12(x10733,x10733,x10732),x10732),f3(x10732)) % 1.04/1.33 [1075]E(x10751,f3(a13))+~P4(x10752,f3(a13),a13)+~P4(f5(x10751,a13),f12(x10752,f5(x10753,a13),a13),a13) % 1.04/1.33 [1212]~P54(x12122)+E(x12121,f3(x12122))+P5(f3(x12122),f7(f12(x12123,x12123,x12122),f12(x12121,x12121,x12122),x12122),x12122) % 1.04/1.33 [1213]~P54(x12132)+E(x12131,f3(x12132))+P5(f3(x12132),f7(f12(x12131,x12131,x12132),f12(x12133,x12133,x12132),x12132),x12132) % 1.04/1.33 [1308]~P54(x13082)+E(x13081,f3(x13082))+~P4(f7(f12(x13083,x13083,x13082),f12(x13081,x13081,x13082),x13082),f3(x13082),x13082) % 1.04/1.33 [1309]~P54(x13092)+E(x13091,f3(x13092))+~P4(f7(f12(x13091,x13091,x13092),f12(x13093,x13093,x13092),x13092),f3(x13092),x13092) % 1.04/1.33 [1261]~P49(x12613)+~P5(x12611,x12612,x12613)+P5(x12611,f9(f7(x12611,x12612,x12613),f7(f11(x12613),f11(x12613),x12613),x12613),x12613) % 1.04/1.33 [1262]~P49(x12623)+~P5(x12621,x12622,x12623)+P5(f9(f7(x12621,x12622,x12623),f7(f11(x12623),f11(x12623),x12623),x12623),x12622,x12623) % 1.04/1.33 [677]~P15(x6774)+E(x6771,x6772)+~E(f7(x6773,x6771,x6774),f7(x6773,x6772,x6774)) % 1.04/1.33 [678]~P16(x6784)+E(x6781,x6782)+~E(f7(x6783,x6781,x6784),f7(x6783,x6782,x6784)) % 1.04/1.33 [679]~P9(x6794)+E(x6791,x6792)+~E(f8(x6793,x6793,x6794),f8(x6791,x6792,x6794)) % 1.04/1.33 [680]~P15(x6804)+E(x6801,x6802)+~E(f7(x6801,x6803,x6804),f7(x6802,x6803,x6804)) % 1.04/1.33 [681]~P9(x6813)+E(x6811,x6812)+~E(f8(x6811,x6812,x6813),f8(x6814,x6814,x6813)) % 1.04/1.33 [944]~P28(x9443)+~P4(x9441,x9444,x9443)+P4(f7(x9441,x9442,x9443),f7(x9444,x9442,x9443),x9443) % 1.04/1.33 [945]~P29(x9453)+~P4(x9451,x9454,x9453)+P4(f7(x9451,x9452,x9453),f7(x9454,x9452,x9453),x9453) % 1.04/1.33 [946]~P28(x9463)+~P4(x9462,x9464,x9463)+P4(f7(x9461,x9462,x9463),f7(x9461,x9464,x9463),x9463) % 1.04/1.33 [947]~P29(x9473)+~P4(x9472,x9474,x9473)+P4(f7(x9471,x9472,x9473),f7(x9471,x9474,x9473),x9473) % 1.04/1.33 [948]~P28(x9483)+~P5(x9481,x9484,x9483)+P5(f7(x9481,x9482,x9483),f7(x9484,x9482,x9483),x9483) % 1.04/1.33 [949]~P30(x9493)+~P5(x9491,x9494,x9493)+P5(f7(x9491,x9492,x9493),f7(x9494,x9492,x9493),x9493) % 1.04/1.33 [950]~P28(x9503)+~P5(x9502,x9504,x9503)+P5(f7(x9501,x9502,x9503),f7(x9501,x9504,x9503),x9503) % 1.04/1.33 [951]~P30(x9513)+~P5(x9512,x9514,x9513)+P5(f7(x9511,x9512,x9513),f7(x9511,x9514,x9513),x9513) % 1.04/1.33 [1040]~P4(x10402,x10404,a29)+~P4(x10401,x10403,a29)+P4(f7(x10401,x10402,a29),f7(x10403,x10404,a29),a29) % 1.04/1.33 [1116]~P28(x11163)+P4(x11161,x11162,x11163)+~P4(f7(x11164,x11161,x11163),f7(x11164,x11162,x11163),x11163) % 1.04/1.33 [1117]~P28(x11173)+P4(x11171,x11172,x11173)+~P4(f7(x11171,x11174,x11173),f7(x11172,x11174,x11173),x11173) % 1.04/1.33 [1118]~P28(x11183)+P5(x11181,x11182,x11183)+~P5(f7(x11184,x11181,x11183),f7(x11184,x11182,x11183),x11183) % 1.04/1.33 [1119]~P28(x11193)+P5(x11191,x11192,x11193)+~P5(f7(x11191,x11194,x11193),f7(x11192,x11194,x11193),x11193) % 1.04/1.33 [835]~P9(x8353)+E(x8351,f4(x8352,x8353))+~E(f7(x8351,f7(x8354,x8352,x8353),x8353),x8354) % 1.04/1.33 [919]~P24(x9193)+~P44(x9193)+E(f9(f12(x9191,x9192,x9193),x9194,x9193),f12(f9(x9191,x9194,x9193),x9192,x9193)) % 1.04/1.33 [1115]~P22(x11154)+~P4(f7(x11151,x11153,x11154),x11152,x11154)+P4(x11151,f7(x11152,f5(x11153,x11154),x11154),x11154) % 1.04/1.33 [1164]~P47(x11643)+~P7(x11643)+E(f7(f12(x11641,x11642,x11643),f12(x11641,x11644,x11643),x11643),f7(f12(x11641,x11644,x11643),f12(x11641,x11642,x11643),x11643)) % 1.04/1.33 [1219]~P55(x12194)+P5(x12191,f7(x12192,x12193,x12194),x12194)+~P5(f5(f8(x12191,x12192,x12194),x12194),x12193,x12194) % 1.04/1.33 [1220]~P55(x12203)+P5(f8(x12201,x12202,x12203),x12204,x12203)+~P5(f5(f8(x12204,x12201,x12203),x12203),x12202,x12203) % 1.04/1.33 [1172]~P3(x11722)+~P66(x11722)+E(f7(f12(f19(x11721,x11722),x11723,x11722),f12(f19(x11721,x11722),x11724,x11722),x11722),f12(f19(x11721,x11722),f7(x11723,x11724,x11722),x11722)) % 1.04/1.33 [1173]~P3(x11732)+~P64(x11732)+E(f8(f12(f19(x11731,x11732),x11733,x11732),f12(f19(x11731,x11732),x11734,x11732),x11732),f12(f19(x11731,x11732),f8(x11733,x11734,x11732),x11732)) % 1.04/1.33 [1174]~P3(x11743)+~P66(x11743)+E(f7(f12(x11741,f19(x11742,x11743),x11743),f12(x11744,f19(x11742,x11743),x11743),x11743),f12(f7(x11741,x11744,x11743),f19(x11742,x11743),x11743)) % 1.04/1.33 [1175]~P3(x11753)+~P64(x11753)+E(f8(f12(x11751,f19(x11752,x11753),x11753),f12(x11754,f19(x11752,x11753),x11753),x11753),f12(f8(x11751,x11754,x11753),f19(x11752,x11753),x11753)) % 1.04/1.33 [1030]~P9(x10303)+E(f7(x10301,x10302,x10303),x10304)+~E(f7(x10301,f7(x10305,x10302,x10303),x10303),f7(x10305,x10304,x10303)) % 1.04/1.33 [1162]~P24(x11623)+~P44(x11623)+E(f9(f12(x11621,x11622,x11623),f12(x11624,x11625,x11623),x11623),f12(f9(x11621,x11624,x11623),f9(x11622,x11625,x11623),x11623)) % 1.04/1.33 [1305]~P64(x13054)+~E(f7(f12(x13053,x13055,x13054),x13051,x13054),f7(f12(x13052,x13055,x13054),x13056,x13054))+E(x13051,f7(f12(f8(x13052,x13053,x13054),x13055,x13054),x13056,x13054)) % 1.04/1.33 [1306]~P64(x13063)+~E(f7(f12(x13061,x13064,x13063),x13065,x13063),f7(f12(x13062,x13064,x13063),x13066,x13063))+E(f7(f12(f8(x13061,x13062,x13063),x13064,x13063),x13065,x13063),x13066) % 1.04/1.33 [1339]~P59(x13394)+~P4(f7(f12(x13393,x13395,x13394),x13391,x13394),f7(f12(x13392,x13395,x13394),x13396,x13394),x13394)+P4(x13391,f7(f12(f8(x13392,x13393,x13394),x13395,x13394),x13396,x13394),x13394) % 1.04/1.33 [1340]~P59(x13404)+~P5(f7(f12(x13403,x13405,x13404),x13401,x13404),f7(f12(x13402,x13405,x13404),x13406,x13404),x13404)+P5(x13401,f7(f12(f8(x13402,x13403,x13404),x13405,x13404),x13406,x13404),x13404) % 1.04/1.33 [1341]~P59(x13413)+~P4(f7(f12(x13411,x13414,x13413),x13415,x13413),f7(f12(x13412,x13414,x13413),x13416,x13413),x13413)+P4(f7(f12(f8(x13411,x13412,x13413),x13414,x13413),x13415,x13413),x13416,x13413) % 1.04/1.33 [1342]~P59(x13423)+~P5(f7(f12(x13421,x13424,x13423),x13425,x13423),f7(f12(x13422,x13424,x13423),x13426,x13423),x13423)+P5(f7(f12(f8(x13421,x13422,x13423),x13424,x13423),x13425,x13423),x13426,x13423) % 1.04/1.33 [1343]~P59(x13433)+P4(f7(f12(x13431,x13432,x13433),x13434,x13433),f7(f12(x13435,x13432,x13433),x13436,x13433),x13433)+~P4(x13434,f7(f12(f8(x13435,x13431,x13433),x13432,x13433),x13436,x13433),x13433) % 1.04/1.33 [1344]~P59(x13443)+P5(f7(f12(x13441,x13442,x13443),x13444,x13443),f7(f12(x13445,x13442,x13443),x13446,x13443),x13443)+~P5(x13444,f7(f12(f8(x13445,x13441,x13443),x13442,x13443),x13446,x13443),x13443) % 1.04/1.33 [1345]~P59(x13453)+P4(f7(f12(x13451,x13452,x13453),x13454,x13453),f7(f12(x13455,x13452,x13453),x13456,x13453),x13453)+~P4(f7(f12(f8(x13451,x13455,x13453),x13452,x13453),x13454,x13453),x13456,x13453) % 1.04/1.33 [1346]~P59(x13463)+P5(f7(f12(x13461,x13462,x13463),x13464,x13463),f7(f12(x13465,x13462,x13463),x13466,x13463),x13463)+~P5(f7(f12(f8(x13461,x13465,x13463),x13462,x13463),x13464,x13463),x13466,x13463) % 1.04/1.33 [1256]~P49(x12561)+~P24(x12561)+~P7(x12561)+P5(f3(x12561),f9(f11(x12561),f19(f7(f2(a18),f2(a18),a14),x12561),x12561),x12561) % 1.04/1.33 [442]~P24(x4422)+~P44(x4422)+~E(f10(x4421,x4422),f11(x4422))+E(x4421,f11(x4422)) % 1.04/1.33 [521]~P31(x5212)+~P22(x5212)+P5(x5211,f3(x5212),x5212)+E(f5(x5211,x5212),x5211) % 1.04/1.33 [603]~P31(x6032)+~P22(x6032)+~P5(x6031,f3(x6032),x6032)+E(f4(x6031,x6032),f5(x6031,x6032)) % 1.04/1.33 [721]~P49(x7211)+~P24(x7211)+~P4(f3(x7211),x7212,x7211)+P4(f3(x7211),f10(x7212,x7211),x7211) % 1.04/1.33 [723]~P49(x7232)+~P24(x7232)+~P4(x7231,f3(x7232),x7232)+P4(f10(x7231,x7232),f3(x7232),x7232) % 1.04/1.33 [724]~P49(x7242)+~P24(x7242)+~P4(x7241,f3(x7242),x7242)+P4(f10(x7241,x7242),f11(x7242),x7242) % 1.04/1.33 [726]~P49(x7262)+~P24(x7262)+~P4(x7261,f3(x7262),x7262)+P5(f10(x7261,x7262),f11(x7262),x7262) % 1.04/1.33 [727]~P49(x7272)+~P24(x7272)+~P4(f11(x7272),x7271,x7272)+P4(f10(x7271,x7272),f11(x7272),x7272) % 1.04/1.33 [728]~P49(x7282)+~P24(x7282)+~P5(f11(x7282),x7281,x7282)+P5(f10(x7281,x7282),f11(x7282),x7282) % 1.04/1.33 [752]~P49(x7522)+~P5(f10(x7521,x7522),f3(x7522),x7522)+P5(x7521,f3(x7522),x7522)+E(x7521,f3(x7522)) % 1.04/1.33 [753]~P49(x7532)+~P5(f3(x7532),f10(x7531,x7532),x7532)+P5(f3(x7532),x7531,x7532)+E(x7531,f3(x7532)) % 1.04/1.33 [754]~P49(x7542)+~P24(x7542)+~P4(f11(x7542),f10(x7541,x7542),x7542)+P4(x7541,f11(x7542),x7542) % 1.04/1.33 [755]~P49(x7552)+~P24(x7552)+~P5(f11(x7552),f10(x7551,x7552),x7552)+P5(x7551,f11(x7552),x7552) % 1.04/1.33 [756]~P49(x7562)+~P24(x7562)+~P4(f10(x7561,x7562),f3(x7562),x7562)+P4(x7561,f3(x7562),x7562) % 1.04/1.33 [757]~P49(x7572)+~P24(x7572)+~P5(f10(x7571,x7572),f3(x7572),x7572)+P5(x7571,f3(x7572),x7572) % 1.04/1.33 [758]~P49(x7581)+~P24(x7581)+~P4(f3(x7581),f10(x7582,x7581),x7581)+P4(f3(x7581),x7582,x7581) % 1.04/1.33 [759]~P49(x7591)+~P24(x7591)+~P4(f11(x7591),f10(x7592,x7591),x7591)+P5(f3(x7591),x7592,x7591) % 1.04/1.33 [760]~P49(x7601)+~P24(x7601)+~P5(f3(x7601),f10(x7602,x7601),x7601)+P5(f3(x7601),x7602,x7601) % 1.04/1.33 [761]~P49(x7611)+~P24(x7611)+~P5(f11(x7611),f10(x7612,x7611),x7611)+P5(f3(x7611),x7612,x7611) % 1.04/1.33 [552]~P24(x5522)+~P44(x5522)+~P7(x5522)+E(f9(x5521,f19(a18,x5522),x5522),f3(x5522)) % 1.04/1.33 [567]~P24(x5672)+~P44(x5672)+~P7(x5672)+E(f9(x5671,f19(a1,x5672),x5672),f4(x5671,x5672)) % 1.04/1.33 [641]~P7(x6412)+~P55(x6412)+P5(f19(x6411,x6412),f3(x6412),x6412)+E(f5(f19(x6411,x6412),x6412),f19(x6411,x6412)) % 1.04/1.33 [786]~P7(x7862)+~P55(x7862)+~P5(f19(x7861,x7862),f3(x7862),x7862)+E(f4(f19(x7861,x7862),x7862),f5(f19(x7861,x7862),x7862)) % 1.04/1.33 [847]~P49(x8471)+~P24(x8471)+~P4(f3(x8471),x8472,x8471)+P4(f3(x8471),f9(f11(x8471),x8472,x8471),x8471) % 1.04/1.33 [848]~P49(x8481)+~P24(x8481)+~P5(f3(x8481),x8482,x8481)+P5(f3(x8481),f9(f11(x8481),x8482,x8481),x8481) % 1.04/1.33 [849]~P49(x8491)+~P24(x8491)+~P4(x8492,f3(x8491),x8491)+P4(f9(f11(x8491),x8492,x8491),f3(x8491),x8491) % 1.04/1.33 [850]~P49(x8501)+~P24(x8501)+~P5(x8502,f3(x8501),x8501)+P5(f9(f11(x8501),x8502,x8501),f3(x8501),x8501) % 1.04/1.33 [876]~P7(x8762)+~P10(x8762)+~P6(f19(x8761,x8762),x8762)+P6(f19(f7(x8761,x8761,a14),x8762),x8762) % 1.04/1.33 [936]~P49(x9362)+~P24(x9362)+P4(x9361,f3(x9362),x9362)+~P4(f9(f11(x9362),x9361,x9362),f3(x9362),x9362) % 1.04/1.33 [937]~P49(x9372)+~P24(x9372)+P5(x9371,f3(x9372),x9372)+~P5(f9(f11(x9372),x9371,x9372),f3(x9372),x9372) % 1.04/1.33 [938]~P49(x9381)+~P24(x9381)+P4(f3(x9381),x9382,x9381)+~P4(f3(x9381),f9(f11(x9381),x9382,x9381),x9381) % 1.04/1.33 [939]~P49(x9391)+~P24(x9391)+P5(f3(x9391),x9392,x9391)+~P5(f3(x9391),f9(f11(x9391),x9392,x9391),x9391) % 1.04/1.33 [1074]~P7(x10742)+~P10(x10742)+P6(f19(x10741,x10742),x10742)+~P6(f19(f7(x10741,x10741,a14),x10742),x10742) % 1.04/1.33 [789]~P24(x7891)+~P44(x7891)+~P7(x7891)+E(f4(f9(f11(x7891),x7892,x7891),x7891),f9(f19(a1,x7891),x7892,x7891)) % 1.04/1.33 [1358]~P5(x13581,x13582,a13)+P5(f25(x13581),f25(x13582),a13)+~P5(x13582,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13581,a13) % 1.04/1.33 [586]P5(x5861,x5862,x5863)+~P55(x5863)+E(x5861,x5862)+P5(x5862,x5861,x5863) % 1.04/1.33 [590]P5(x5901,x5902,x5903)+~P31(x5903)+E(x5901,x5902)+P5(x5902,x5901,x5903) % 1.04/1.33 [628]~P26(x6283)+~P4(x6281,x6282,x6283)+E(x6281,x6282)+P5(x6281,x6282,x6283) % 1.04/1.33 [630]~P31(x6303)+~P4(x6301,x6302,x6303)+E(x6301,x6302)+P5(x6301,x6302,x6303) % 1.04/1.33 [685]~P4(x6852,x6851,x6853)+~P4(x6851,x6852,x6853)+E(x6851,x6852)+~P26(x6853) % 1.04/1.33 [732]P5(x7322,x7321,x7323)+~P36(x7323)+~P4(x7322,x7321,x7323)+P4(x7321,x7322,x7323) % 1.04/1.33 [449]~P24(x4493)+~P45(x4493)+E(x4491,x4492)+~E(f10(x4491,x4493),f10(x4492,x4493)) % 1.04/1.33 [450]~P7(x4503)+~P10(x4503)+E(x4501,x4502)+~E(f19(x4501,x4503),f19(x4502,x4503)) % 1.04/1.33 [558]~P44(x5583)+E(x5581,x5582)+~E(f9(x5581,x5582,x5583),f11(x5583))+E(x5582,f3(x5583)) % 1.04/1.33 [559]~P47(x5592)+~P7(x5592)+~E(f7(x5593,x5591,x5592),x5593)+E(x5591,f3(x5592)) % 1.04/1.33 [560]~P41(x5602)+~E(f24(x5603,x5601,x5602),f3(x5602))+E(x5601,f3(x5602))+E(x5603,f3(a13)) % 1.04/1.33 [561]~P47(x5613)+~P7(x5613)+E(x5611,x5612)+~E(f8(x5611,x5612,x5613),f3(x5613)) % 1.04/1.33 [562]~P62(x5622)+~E(f12(x5623,x5621,x5622),f3(x5622))+E(x5621,f3(x5622))+E(x5623,f3(x5622)) % 1.04/1.33 [564]~P50(x5642)+~E(f12(x5643,x5641,x5642),f3(x5642))+E(x5641,f3(x5642))+E(x5643,f3(x5642)) % 1.04/1.33 [720]~P47(x7203)+E(x7201,x7202)+~E(f12(x7201,x7201,x7203),f12(x7202,x7202,x7203))+E(x7201,f4(x7202,x7203)) % 1.04/1.33 [853]~P49(x8532)+~P4(x8533,x8531,x8532)+~P5(x8531,f3(x8532),x8532)+P4(f10(x8531,x8532),f10(x8533,x8532),x8532) % 1.04/1.33 [854]~P49(x8542)+~P5(x8543,x8541,x8542)+~P5(x8541,f3(x8542),x8542)+P5(f10(x8541,x8542),f10(x8543,x8542),x8542) % 1.04/1.33 [855]~P49(x8552)+~P4(x8553,x8551,x8552)+~P5(f3(x8552),x8553,x8552)+P4(f10(x8551,x8552),f10(x8553,x8552),x8552) % 1.04/1.33 [856]~P49(x8562)+~P5(x8563,x8561,x8562)+~P5(f3(x8562),x8563,x8562)+P5(f10(x8561,x8562),f10(x8563,x8562),x8562) % 1.04/1.33 [864]~P25(x8642)+~P4(x8641,x8643,x8642)+~P4(f4(x8641,x8642),x8643,x8642)+P4(f5(x8641,x8642),x8643,x8642) % 1.04/1.33 [865]~P55(x8652)+~P5(x8651,x8653,x8652)+~P5(f4(x8651,x8652),x8653,x8652)+P5(f5(x8651,x8652),x8653,x8652) % 1.04/1.33 [877]~P49(x8773)+P4(x8771,x8772,x8773)+~P5(x8771,f3(x8773),x8773)+~P4(f10(x8772,x8773),f10(x8771,x8773),x8773) % 1.04/1.33 [878]~P49(x8783)+P5(x8781,x8782,x8783)+~P5(x8781,f3(x8783),x8783)+~P5(f10(x8782,x8783),f10(x8781,x8783),x8783) % 1.04/1.33 [879]~P49(x8793)+P4(x8791,x8792,x8793)+~P5(f3(x8793),x8792,x8793)+~P4(f10(x8792,x8793),f10(x8791,x8793),x8793) % 1.04/1.33 [880]~P49(x8803)+P5(x8801,x8802,x8803)+~P5(f3(x8803),x8802,x8803)+~P5(f10(x8802,x8803),f10(x8801,x8803),x8803) % 1.04/1.33 [954]~P54(x9541)+~P4(x9543,f3(x9541),x9541)+~P4(x9542,f3(x9541),x9541)+P4(f3(x9541),f12(x9542,x9543,x9541),x9541) % 1.04/1.33 [956]~P59(x9561)+~P4(x9563,f3(x9561),x9561)+~P4(x9562,f3(x9561),x9561)+P4(f3(x9561),f12(x9562,x9563,x9561),x9561) % 1.04/1.33 [957]~P49(x9571)+~P4(x9572,f3(x9571),x9571)+~P5(x9573,f3(x9571),x9571)+P4(f3(x9571),f9(x9572,x9573,x9571),x9571) % 1.04/1.33 [958]~P54(x9581)+~P5(x9583,f3(x9581),x9581)+~P5(x9582,f3(x9581),x9581)+P5(f3(x9581),f12(x9582,x9583,x9581),x9581) % 1.04/1.33 [959]~P49(x9591)+~P5(x9593,f3(x9591),x9591)+~P5(x9592,f3(x9591),x9591)+P5(f3(x9591),f9(x9592,x9593,x9591),x9591) % 1.04/1.33 [960]~P54(x9601)+~P4(f3(x9601),x9603,x9601)+~P4(f3(x9601),x9602,x9601)+P4(f3(x9601),f12(x9602,x9603,x9601),x9601) % 1.04/1.33 [961]~P59(x9611)+~P4(f3(x9611),x9613,x9611)+~P4(f3(x9611),x9612,x9611)+P4(f3(x9611),f12(x9612,x9613,x9611),x9611) % 1.04/1.33 [962]~P60(x9621)+~P4(f3(x9621),x9623,x9621)+~P4(f3(x9621),x9622,x9621)+P4(f3(x9621),f12(x9622,x9623,x9621),x9621) % 1.04/1.33 [963]~P49(x9631)+~P4(f3(x9631),x9632,x9631)+~P5(f3(x9631),x9633,x9631)+P4(f3(x9631),f9(x9632,x9633,x9631),x9631) % 1.04/1.33 [964]~P27(x9641)+~P4(f3(x9641),x9643,x9641)+~P4(f3(x9641),x9642,x9641)+P4(f3(x9641),f7(x9642,x9643,x9641),x9641) % 1.04/1.33 [965]~P53(x9651)+~P5(f3(x9651),x9653,x9651)+~P5(f3(x9651),x9652,x9651)+P5(f3(x9651),f12(x9652,x9653,x9651),x9651) % 1.04/1.33 [966]~P49(x9661)+~P5(f3(x9661),x9663,x9661)+~P5(f3(x9661),x9662,x9661)+P5(f3(x9661),f9(x9662,x9663,x9661),x9661) % 1.04/1.33 [967]~P27(x9671)+~P4(f3(x9671),x9673,x9671)+~P5(f3(x9671),x9672,x9671)+P5(f3(x9671),f7(x9672,x9673,x9671),x9671) % 1.04/1.33 [968]~P27(x9681)+~P4(f3(x9681),x9682,x9681)+~P5(f3(x9681),x9683,x9681)+P5(f3(x9681),f7(x9682,x9683,x9681),x9681) % 1.04/1.33 [969]~P27(x9691)+~P5(f3(x9691),x9693,x9691)+~P5(f3(x9691),x9692,x9691)+P5(f3(x9691),f7(x9692,x9693,x9691),x9691) % 1.04/1.33 [970]~P57(x9701)+~P5(f11(x9701),x9703,x9701)+~P5(f11(x9701),x9702,x9701)+P5(f11(x9701),f12(x9702,x9703,x9701),x9701) % 1.04/1.33 [971]~P27(x9713)+~P4(x9712,f3(x9713),x9713)+~P4(x9711,f3(x9713),x9713)+P4(f7(x9711,x9712,x9713),f3(x9713),x9713) % 1.04/1.33 [972]~P27(x9723)+~P4(x9722,f3(x9723),x9723)+~P5(x9721,f3(x9723),x9723)+P5(f7(x9721,x9722,x9723),f3(x9723),x9723) % 1.04/1.33 [973]~P27(x9733)+~P4(x9731,f3(x9733),x9733)+~P5(x9732,f3(x9733),x9733)+P5(f7(x9731,x9732,x9733),f3(x9733),x9733) % 1.04/1.33 [974]~P27(x9743)+~P5(x9742,f3(x9743),x9743)+~P5(x9741,f3(x9743),x9743)+P5(f7(x9741,x9742,x9743),f3(x9743),x9743) % 1.04/1.33 [975]~P54(x9753)+~P4(x9752,f3(x9753),x9753)+~P4(f3(x9753),x9751,x9753)+P4(f12(x9751,x9752,x9753),f3(x9753),x9753) % 1.04/1.33 [976]~P54(x9763)+~P4(x9761,f3(x9763),x9763)+~P4(f3(x9763),x9762,x9763)+P4(f12(x9761,x9762,x9763),f3(x9763),x9763) % 1.04/1.33 [978]~P60(x9783)+~P4(x9782,f3(x9783),x9783)+~P4(f3(x9783),x9781,x9783)+P4(f12(x9781,x9782,x9783),f3(x9783),x9783) % 1.04/1.33 [981]~P60(x9813)+~P4(x9811,f3(x9813),x9813)+~P4(f3(x9813),x9812,x9813)+P4(f12(x9811,x9812,x9813),f3(x9813),x9813) % 1.04/1.33 [982]~P49(x9823)+~P4(x9821,f3(x9823),x9823)+~P5(f3(x9823),x9822,x9823)+P4(f9(x9821,x9822,x9823),f3(x9823),x9823) % 1.04/1.33 [983]~P49(x9833)+~P5(x9832,f3(x9833),x9833)+~P4(f3(x9833),x9831,x9833)+P4(f9(x9831,x9832,x9833),f3(x9833),x9833) % 1.04/1.33 [984]~P53(x9843)+~P5(x9842,f3(x9843),x9843)+~P5(f3(x9843),x9841,x9843)+P5(f12(x9841,x9842,x9843),f3(x9843),x9843) % 1.04/1.33 [986]~P53(x9863)+~P5(x9861,f3(x9863),x9863)+~P5(f3(x9863),x9862,x9863)+P5(f12(x9861,x9862,x9863),f3(x9863),x9863) % 1.04/1.33 [987]~P49(x9873)+~P5(x9872,f3(x9873),x9873)+~P5(f3(x9873),x9871,x9873)+P5(f9(x9871,x9872,x9873),f3(x9873),x9873) % 1.04/1.33 [988]~P49(x9883)+~P5(x9881,f3(x9883),x9883)+~P5(f3(x9883),x9882,x9883)+P5(f9(x9881,x9882,x9883),f3(x9883),x9883) % 1.04/1.33 [1002]~P54(x10022)+~P4(f12(x10023,x10021,x10022),f3(x10022),x10022)+P4(x10021,f3(x10022),x10022)+P4(x10023,f3(x10022),x10022) % 1.04/1.33 [1003]~P54(x10032)+~P4(f3(x10032),f12(x10033,x10031,x10032),x10032)+P4(x10031,f3(x10032),x10032)+P4(f3(x10032),x10033,x10032) % 1.04/1.33 [1004]~P54(x10042)+~P4(f3(x10042),f12(x10041,x10043,x10042),x10042)+P4(x10041,f3(x10042),x10042)+P4(f3(x10042),x10043,x10042) % 1.04/1.33 [1005]~P54(x10052)+~P4(f3(x10052),f12(x10053,x10051,x10052),x10052)+P4(x10051,f3(x10052),x10052)+P4(f3(x10052),x10051,x10052) % 1.04/1.33 [1006]~P54(x10062)+~P4(f3(x10062),f12(x10061,x10063,x10062),x10062)+P4(x10061,f3(x10062),x10062)+P4(f3(x10062),x10061,x10062) % 1.04/1.33 [1007]~P54(x10072)+~P4(f12(x10073,x10071,x10072),f3(x10072),x10072)+P4(x10071,f3(x10072),x10072)+P4(f3(x10072),x10071,x10072) % 1.04/1.33 [1008]~P54(x10082)+~P4(f12(x10081,x10083,x10082),f3(x10082),x10082)+P4(x10081,f3(x10082),x10082)+P4(f3(x10082),x10081,x10082) % 1.04/1.33 [1009]~P54(x10091)+~P4(f12(x10092,x10093,x10091),f3(x10091),x10091)+P4(f3(x10091),x10092,x10091)+P4(f3(x10091),x10093,x10091) % 1.04/1.33 [1038]~P53(x10381)+~P5(f3(x10381),f12(x10383,x10382,x10381),x10381)+P5(f3(x10381),x10382,x10381)+~P5(f3(x10381),x10383,x10381) % 1.04/1.33 [1039]~P53(x10391)+~P5(f3(x10391),f12(x10392,x10393,x10391),x10391)+P5(f3(x10391),x10392,x10391)+~P5(f3(x10391),x10393,x10391) % 1.04/1.33 [688]~P24(x6882)+~P44(x6882)+E(x6881,f3(x6882))+E(f12(f9(x6883,x6881,x6882),x6881,x6882),x6883) % 1.04/1.33 [813]~P45(x8132)+E(x8131,f3(x8132))+E(x8133,f3(x8132))+E(f12(f10(x8131,x8132),f10(x8133,x8132),x8132),f10(f12(x8133,x8131,x8132),x8132)) % 1.04/1.33 [869]~P49(x8692)+~P24(x8692)+~P5(f3(x8692),x8693,x8692)+E(f9(f5(x8691,x8692),x8693,x8692),f5(f9(x8691,x8693,x8692),x8692)) % 1.04/1.33 [1034]~P58(x10342)+~P4(x10343,f3(x10342),x10342)+~P4(x10341,f3(x10342),x10342)+E(f12(f5(x10341,x10342),f5(x10343,x10342),x10342),f5(f12(x10341,x10343,x10342),x10342)) % 1.04/1.33 [1035]~P58(x10352)+~P4(x10353,f3(x10352),x10352)+~P4(f3(x10352),x10351,x10352)+E(f12(f5(x10351,x10352),f5(x10353,x10352),x10352),f5(f12(x10351,x10353,x10352),x10352)) % 1.04/1.33 [1036]~P58(x10362)+~P4(x10361,f3(x10362),x10362)+~P4(f3(x10362),x10363,x10362)+E(f12(f5(x10361,x10362),f5(x10363,x10362),x10362),f5(f12(x10361,x10363,x10362),x10362)) % 1.04/1.33 [1037]~P58(x10372)+~P4(f3(x10372),x10373,x10372)+~P4(f3(x10372),x10371,x10372)+E(f12(f5(x10371,x10372),f5(x10373,x10372),x10372),f5(f12(x10371,x10373,x10372),x10372)) % 1.04/1.33 [1080]~P5(x10801,x10803,a13)+P5(x10801,a38,a13)+~P4(f23(x10802,a15),a30,a13)+~E(f23(f22(a36,x10802,a15),a15),f4(x10803,a13)) % 1.04/1.33 [1176]~P45(x11762)+E(x11761,f3(x11762))+E(x11763,f3(x11762))+E(f12(f12(f10(x11763,x11762),f7(x11763,x11761,x11762),x11762),f10(x11761,x11762),x11762),f7(f10(x11763,x11762),f10(x11761,x11762),x11762)) % 1.04/1.33 [1177]~P45(x11772)+E(x11771,f3(x11772))+E(x11773,f3(x11772))+E(f12(f12(f10(x11773,x11772),f8(x11771,x11773,x11772),x11772),f10(x11771,x11772),x11772),f8(f10(x11773,x11772),f10(x11771,x11772),x11772)) % 1.04/1.33 [1178]~P44(x11782)+E(x11781,f3(x11782))+E(x11783,f3(x11782))+E(f12(f12(f7(x11783,x11781,x11782),f10(x11783,x11782),x11782),f10(x11781,x11782),x11782),f7(f10(x11783,x11782),f10(x11781,x11782),x11782)) % 1.04/1.33 [1326]~P45(x13262)+E(x13261,f3(x13262))+E(x13263,f3(x13262))+E(f4(f12(f12(f10(x13263,x13262),f8(x13263,x13261,x13262),x13262),f10(x13261,x13262),x13262),x13262),f8(f10(x13263,x13262),f10(x13261,x13262),x13262)) % 1.04/1.33 [795]~P26(x7953)+~P4(x7951,x7954,x7953)+P4(x7951,x7952,x7953)+~P4(x7954,x7952,x7953) % 1.04/1.33 [796]~P36(x7963)+~P4(x7961,x7964,x7963)+P4(x7961,x7962,x7963)+~P4(x7964,x7962,x7963) % 1.04/1.33 [797]~P26(x7973)+~P5(x7971,x7974,x7973)+P5(x7971,x7972,x7973)+~P4(x7974,x7972,x7973) % 1.04/1.33 [798]~P26(x7983)+~P5(x7984,x7982,x7983)+P5(x7981,x7982,x7983)+~P4(x7981,x7984,x7983) % 1.04/1.33 [799]~P26(x7993)+~P5(x7991,x7994,x7993)+P5(x7991,x7992,x7993)+~P5(x7994,x7992,x7993) % 1.04/1.33 [800]~P36(x8003)+~P5(x8001,x8004,x8003)+P5(x8001,x8002,x8003)+~P4(x8004,x8002,x8003) % 1.04/1.33 [801]~P36(x8013)+~P5(x8014,x8012,x8013)+P5(x8011,x8012,x8013)+~P4(x8011,x8014,x8013) % 1.04/1.33 [802]~P36(x8023)+~P5(x8021,x8024,x8023)+P5(x8021,x8022,x8023)+~P5(x8024,x8022,x8023) % 1.04/1.33 [698]~P41(x6984)+E(x6981,x6982)+~E(f24(x6983,x6981,x6984),f24(x6983,x6982,x6984))+E(x6983,f3(a13)) % 1.04/1.33 [699]~P41(x6994)+E(x6991,x6992)+~E(f24(x6991,x6993,x6994),f24(x6992,x6993,x6994))+E(x6993,f3(x6994)) % 1.04/1.33 [700]~P47(x7004)+~P7(x7004)+E(x7001,x7002)+~E(f7(x7003,x7001,x7004),f7(x7003,x7002,x7004)) % 1.04/1.33 [934]~P57(x9344)+~P5(x9341,x9343,x9344)+~P5(f3(x9344),x9342,x9344)+P5(x9341,f7(x9342,x9343,x9344),x9344) % 1.04/1.33 [1087]~P59(x10873)+~P4(x10874,x10871,x10873)+~P4(x10872,f3(x10873),x10873)+P4(f12(x10871,x10872,x10873),f12(x10874,x10872,x10873),x10873) % 1.04/1.33 [1088]~P54(x10883)+~P4(x10884,x10882,x10883)+~P5(x10881,f3(x10883),x10883)+P4(f12(x10881,x10882,x10883),f12(x10881,x10884,x10883),x10883) % 1.04/1.33 [1089]~P59(x10893)+~P4(x10894,x10892,x10893)+~P4(x10891,f3(x10893),x10893)+P4(f12(x10891,x10892,x10893),f12(x10891,x10894,x10893),x10893) % 1.04/1.33 [1091]~P54(x10913)+~P5(x10914,x10911,x10913)+~P5(x10912,f3(x10913),x10913)+P5(f12(x10911,x10912,x10913),f12(x10914,x10912,x10913),x10913) % 1.04/1.33 [1094]~P54(x10943)+~P5(x10944,x10942,x10943)+~P5(x10941,f3(x10943),x10943)+P5(f12(x10941,x10942,x10943),f12(x10941,x10944,x10943),x10943) % 1.04/1.33 [1095]~P49(x10953)+~P5(x10954,x10951,x10953)+~P5(x10952,f3(x10953),x10953)+P5(f9(x10951,x10952,x10953),f9(x10954,x10952,x10953),x10953) % 1.04/1.33 [1096]~P46(x10963)+~P4(x10961,x10964,x10963)+~P4(f3(x10963),x10962,x10963)+P4(f12(x10961,x10962,x10963),f12(x10964,x10962,x10963),x10963) % 1.04/1.33 [1097]~P1(x10973)+~P4(x10972,x10974,x10973)+~P4(f3(x10973),x10971,x10973)+P4(f12(x10971,x10972,x10973),f12(x10971,x10974,x10973),x10973) % 1.04/1.33 [1098]~P54(x10983)+~P4(x10982,x10984,x10983)+~P5(f3(x10983),x10981,x10983)+P4(f12(x10981,x10982,x10983),f12(x10981,x10984,x10983),x10983) % 1.04/1.33 [1099]~P46(x10993)+~P4(x10992,x10994,x10993)+~P4(f3(x10993),x10991,x10993)+P4(f12(x10991,x10992,x10993),f12(x10991,x10994,x10993),x10993) % 1.04/1.33 [1100]~P53(x11003)+~P5(x11001,x11004,x11003)+~P5(f3(x11003),x11002,x11003)+P5(f12(x11001,x11002,x11003),f12(x11004,x11002,x11003),x11003) % 1.04/1.33 [1101]~P54(x11013)+~P5(x11011,x11014,x11013)+~P5(f3(x11013),x11012,x11013)+P5(f12(x11011,x11012,x11013),f12(x11014,x11012,x11013),x11013) % 1.04/1.33 [1102]~P53(x11023)+~P5(x11022,x11024,x11023)+~P5(f3(x11023),x11021,x11023)+P5(f12(x11021,x11022,x11023),f12(x11021,x11024,x11023),x11023) % 1.04/1.33 [1104]~P54(x11043)+~P5(x11042,x11044,x11043)+~P5(f3(x11043),x11041,x11043)+P5(f12(x11041,x11042,x11043),f12(x11041,x11044,x11043),x11043) % 1.04/1.33 [1105]~P52(x11053)+~P5(x11052,x11054,x11053)+~P5(f3(x11053),x11051,x11053)+P5(f12(x11051,x11052,x11053),f12(x11051,x11054,x11053),x11053) % 1.04/1.33 [1106]~P49(x11063)+~P5(x11061,x11064,x11063)+~P5(f3(x11063),x11062,x11063)+P5(f9(x11061,x11062,x11063),f9(x11064,x11062,x11063),x11063) % 1.04/1.33 [1134]~P49(x11344)+~P5(f3(x11344),x11343,x11344)+~P4(f12(x11341,x11343,x11344),x11342,x11344)+P4(x11341,f9(x11342,x11343,x11344),x11344) % 1.04/1.33 [1135]~P49(x11354)+~P5(f3(x11354),x11353,x11354)+~P5(f12(x11351,x11353,x11354),x11352,x11354)+P5(x11351,f9(x11352,x11353,x11354),x11354) % 1.04/1.33 [1136]~P49(x11363)+~P5(f3(x11363),x11362,x11363)+~P4(x11361,f12(x11364,x11362,x11363),x11363)+P4(f9(x11361,x11362,x11363),x11364,x11363) % 1.04/1.33 [1137]~P49(x11373)+~P5(f3(x11373),x11372,x11373)+~P5(x11371,f12(x11374,x11372,x11373),x11373)+P5(f9(x11371,x11372,x11373),x11374,x11373) % 1.04/1.33 [1153]P5(x11532,x11531,x11533)+~P54(x11533)+P5(x11531,x11532,x11533)+~P5(f12(x11534,x11531,x11533),f12(x11534,x11532,x11533),x11533) % 1.04/1.33 [1154]P5(x11542,x11541,x11543)+~P54(x11543)+P5(x11541,x11542,x11543)+~P5(f12(x11541,x11544,x11543),f12(x11542,x11544,x11543),x11543) % 1.04/1.33 [1158]~P54(x11583)+P5(x11581,x11582,x11583)+~P5(f12(x11581,x11584,x11583),f12(x11582,x11584,x11583),x11583)+P5(x11584,f3(x11583),x11583) % 1.04/1.33 [1159]~P54(x11593)+P5(x11591,x11592,x11593)+~P5(f12(x11594,x11591,x11593),f12(x11594,x11592,x11593),x11593)+P5(x11594,f3(x11593),x11593) % 1.04/1.33 [1160]~P54(x11603)+P5(x11601,x11602,x11603)+~P5(f12(x11604,x11602,x11603),f12(x11604,x11601,x11603),x11603)+P5(f3(x11603),x11604,x11603) % 1.04/1.33 [1161]~P54(x11613)+P5(x11611,x11612,x11613)+~P5(f12(x11612,x11614,x11613),f12(x11611,x11614,x11613),x11613)+P5(f3(x11613),x11614,x11613) % 1.04/1.33 [1165]~P54(x11652)+~P5(f12(x11653,x11651,x11652),f12(x11654,x11651,x11652),x11652)+P5(x11651,f3(x11652),x11652)+P5(f3(x11652),x11651,x11652) % 1.04/1.33 [1166]~P54(x11662)+~P5(f12(x11661,x11663,x11662),f12(x11661,x11664,x11662),x11662)+P5(x11661,f3(x11662),x11662)+P5(f3(x11662),x11661,x11662) % 1.04/1.33 [1181]~P54(x11813)+P4(x11811,x11812,x11813)+~P4(f12(x11814,x11812,x11813),f12(x11814,x11811,x11813),x11813)+~P5(x11814,f3(x11813),x11813) % 1.04/1.33 [1182]~P54(x11823)+P5(x11821,x11822,x11823)+~P5(f12(x11824,x11822,x11823),f12(x11824,x11821,x11823),x11823)+~P5(x11824,f3(x11823),x11823) % 1.04/1.33 [1183]~P53(x11833)+P4(x11831,x11832,x11833)+~P4(f12(x11834,x11831,x11833),f12(x11834,x11832,x11833),x11833)+~P5(f3(x11833),x11834,x11833) % 1.04/1.33 [1184]~P53(x11843)+P4(x11841,x11842,x11843)+~P4(f12(x11841,x11844,x11843),f12(x11842,x11844,x11843),x11843)+~P5(f3(x11843),x11844,x11843) % 1.04/1.33 [1185]~P54(x11853)+P4(x11851,x11852,x11853)+~P4(f12(x11854,x11851,x11853),f12(x11854,x11852,x11853),x11853)+~P5(f3(x11853),x11854,x11853) % 1.04/1.33 [1186]~P53(x11863)+P5(x11861,x11862,x11863)+~P5(f12(x11864,x11861,x11863),f12(x11864,x11862,x11863),x11863)+~P4(f3(x11863),x11864,x11863) % 1.04/1.33 [1187]~P53(x11873)+P5(x11871,x11872,x11873)+~P5(f12(x11871,x11874,x11873),f12(x11872,x11874,x11873),x11873)+~P4(f3(x11873),x11874,x11873) % 1.04/1.33 [1188]~P54(x11883)+P5(x11881,x11882,x11883)+~P5(f12(x11884,x11881,x11883),f12(x11884,x11882,x11883),x11883)+~P5(f3(x11883),x11884,x11883) % 1.04/1.33 [1189]~P56(x11893)+P5(x11891,x11892,x11893)+~P5(f12(x11894,x11891,x11893),f12(x11894,x11892,x11893),x11893)+~P4(f3(x11893),x11894,x11893) % 1.04/1.33 [1190]~P56(x11903)+P5(x11901,x11902,x11903)+~P5(f12(x11901,x11904,x11903),f12(x11902,x11904,x11903),x11903)+~P4(f3(x11903),x11904,x11903) % 1.04/1.33 [928]~P24(x9282)+~P44(x9282)+E(x9281,f3(x9282))+E(f9(f12(x9283,x9281,x9282),f12(x9284,x9281,x9282),x9282),f9(x9283,x9284,x9282)) % 1.04/1.33 [929]~P24(x9292)+~P44(x9292)+E(x9291,f3(x9292))+E(f9(f12(x9291,x9293,x9292),f12(x9291,x9294,x9292),x9292),f9(x9293,x9294,x9292)) % 1.04/1.33 [1114]~P33(x11142)+E(x11141,f3(x11142))+~P4(x11143,f3(a13),a13)+~P4(f23(x11141,x11142),f12(x11143,f23(x11144,x11142),a13),a13) % 1.04/1.33 [1299]~P55(x12993)+~P5(x12991,f7(x12992,x12994,x12993),x12993)+~P5(f8(x12992,x12994,x12993),x12991,x12993)+P5(f5(f8(x12991,x12992,x12993),x12993),x12994,x12993) % 1.04/1.33 [1300]~P5(x13004,x13002,a13)+P5(x13001,x13002,a13)+~P5(x13003,x13004,a13)+~P5(f5(f8(x13004,x13001,a13),a13),f6(x13003,x13002,x13004),a13) % 1.04/1.33 [1301]~P5(x13011,x13013,a13)+P5(x13011,x13012,a13)+~P5(x13013,x13014,a13)+~P5(f5(f8(x13013,x13012,a13),a13),f6(x13011,x13014,x13013),a13) % 1.04/1.33 [1170]~P24(x11702)+~P44(x11702)+E(x11701,f3(x11702))+E(f9(f7(x11703,f12(x11704,x11701,x11702),x11702),x11701,x11702),f7(x11704,f9(x11703,x11701,x11702),x11702)) % 1.04/1.33 [1171]~P24(x11712)+~P44(x11712)+E(x11711,f3(x11712))+E(f9(f7(x11713,f12(x11714,x11711,x11712),x11712),x11711,x11712),f7(f9(x11713,x11711,x11712),x11714,x11712)) % 1.04/1.33 [1347]~P40(x13472)+E(x13471,f3(x13472))+E(x13473,f3(x13472))+E(f4(f12(f12(f10(x13473,x13472),f9(f8(x13473,x13471,x13472),x13474,x13472),x13472),f10(x13471,x13472),x13472),x13472),f9(f8(f10(x13473,x13472),f10(x13471,x13472),x13472),x13474,x13472)) % 1.04/1.33 [870]~P2(x8703)+~P4(x8705,x8704,x8703)+P4(x8701,x8702,x8703)+~E(f8(x8704,x8705,x8703),f8(x8702,x8701,x8703)) % 1.04/1.33 [871]~P2(x8713)+~P4(x8715,x8714,x8713)+P4(x8711,x8712,x8713)+~E(f8(x8712,x8711,x8713),f8(x8714,x8715,x8713)) % 1.04/1.33 [872]~P2(x8723)+~P5(x8724,x8725,x8723)+P5(x8721,x8722,x8723)+~E(f8(x8724,x8725,x8723),f8(x8721,x8722,x8723)) % 1.04/1.33 [873]~P2(x8733)+~P5(x8734,x8735,x8733)+P5(x8731,x8732,x8733)+~E(f8(x8731,x8732,x8733),f8(x8734,x8735,x8733)) % 1.04/1.33 [1076]~P29(x10763)+~P4(x10762,x10765,x10763)+~P4(x10761,x10764,x10763)+P4(f7(x10761,x10762,x10763),f7(x10764,x10765,x10763),x10763) % 1.04/1.33 [1077]~P30(x10773)+~P4(x10772,x10775,x10773)+~P5(x10771,x10774,x10773)+P5(f7(x10771,x10772,x10773),f7(x10774,x10775,x10773),x10773) % 1.04/1.33 [1078]~P30(x10783)+~P4(x10781,x10784,x10783)+~P5(x10782,x10785,x10783)+P5(f7(x10781,x10782,x10783),f7(x10784,x10785,x10783),x10783) % 1.04/1.33 [1079]~P30(x10793)+~P5(x10792,x10795,x10793)+~P5(x10791,x10794,x10793)+P5(f7(x10791,x10792,x10793),f7(x10794,x10795,x10793),x10793) % 1.04/1.33 [1129]~P2(x11294)+~P4(x11295,x11293,x11294)+~P4(x11291,f7(x11292,x11295,x11294),x11294)+P4(x11291,f7(x11292,x11293,x11294),x11294) % 1.04/1.33 [1221]~P55(x12212)+~P5(f5(x12211,x12212),x12214,x12212)+~P5(f5(x12213,x12212),x12215,x12212)+P5(f12(f5(x12211,x12212),f5(x12213,x12212),x12212),f12(x12214,x12215,x12212),x12212) % 1.04/1.33 [1237]~P34(x12373)+~P5(f23(x12372,x12373),x12375,a13)+~P5(f23(x12371,x12373),x12374,a13)+P5(f23(f12(x12371,x12372,x12373),x12373),f12(x12374,x12375,a13),a13) % 1.04/1.33 [1238]~P33(x12383)+~P5(f23(x12382,x12383),x12385,a13)+~P5(f23(x12381,x12383),x12384,a13)+P5(f23(f7(x12381,x12382,x12383),x12383),f7(x12384,x12385,a13),a13) % 1.04/1.33 [1316]~P44(x13162)+E(x13161,f3(x13162))+E(x13163,f3(x13162))+E(f9(f7(f12(x13164,x13161,x13162),f12(x13165,x13163,x13162),x13162),f12(x13163,x13161,x13162),x13162),f7(f9(x13164,x13163,x13162),f9(x13165,x13161,x13162),x13162)) % 1.04/1.33 [1317]~P44(x13172)+E(x13171,f3(x13172))+E(x13173,f3(x13172))+E(f9(f8(f12(x13174,x13171,x13172),f12(x13175,x13173,x13172),x13172),f12(x13173,x13171,x13172),x13172),f8(f9(x13174,x13173,x13172),f9(x13175,x13171,x13172),x13172)) % 1.04/1.33 [829]~P49(x8292)+~P24(x8292)+P4(f11(x8292),x8291,x8292)+~P4(f10(x8291,x8292),f11(x8292),x8292)+P4(x8291,f3(x8292),x8292) % 1.04/1.33 [830]~P49(x8302)+~P24(x8302)+P5(f11(x8302),x8301,x8302)+~P5(f10(x8301,x8302),f11(x8302),x8302)+P4(x8301,f3(x8302),x8302) % 1.04/1.33 [851]~P49(x8511)+~P24(x8511)+~P5(f3(x8511),x8512,x8511)+~P4(x8512,f11(x8511),x8511)+P4(f11(x8511),f10(x8512,x8511),x8511) % 1.04/1.33 [852]~P49(x8521)+~P24(x8521)+~P5(f3(x8521),x8522,x8521)+~P5(x8522,f11(x8521),x8521)+P5(f11(x8521),f10(x8522,x8521),x8521) % 1.04/1.33 [1298]~P49(x12981)+~P24(x12981)+~P7(x12981)+~P5(f3(x12981),x12982,x12981)+P5(f3(x12981),f9(x12982,f19(f7(f2(a18),f2(a18),a14),x12981),x12981),x12981) % 1.04/1.33 [1334]~P49(x13341)+~P24(x13341)+~P7(x13341)+P5(f3(x13341),x13342,x13341)+~P5(f3(x13341),f9(x13342,f19(f7(f2(a18),f2(a18),a14),x13341),x13341),x13341) % 1.04/1.33 [457]~P45(x4573)+E(x4571,x4572)+~E(f10(x4571,x4573),f10(x4572,x4573))+E(x4572,f3(x4573))+E(x4571,f3(x4573)) % 1.04/1.33 [857]~P27(x8572)+~P4(f3(x8572),x8571,x8572)+~P4(f3(x8572),x8573,x8572)+~E(f7(x8573,x8571,x8572),f3(x8572))+E(x8571,f3(x8572)) % 1.04/1.33 [858]~P27(x8582)+~P4(f3(x8582),x8583,x8582)+~P4(f3(x8582),x8581,x8582)+~E(f7(x8581,x8583,x8582),f3(x8582))+E(x8581,f3(x8582)) % 1.04/1.33 [989]~P49(x9891)+~P24(x9891)+~P4(x9893,f3(x9891),x9891)+~P4(x9892,f3(x9891),x9891)+P4(f3(x9891),f9(x9892,x9893,x9891),x9891) % 1.04/1.33 [991]~P49(x9911)+~P24(x9911)+~P4(f3(x9911),x9913,x9911)+~P4(f3(x9911),x9912,x9911)+P4(f3(x9911),f9(x9912,x9913,x9911),x9911) % 1.04/1.33 [993]~P49(x9933)+~P24(x9933)+~P4(x9932,f3(x9933),x9933)+~P4(f3(x9933),x9931,x9933)+P4(f9(x9931,x9932,x9933),f3(x9933),x9933) % 1.04/1.33 [994]~P49(x9943)+~P24(x9943)+~P4(x9941,f3(x9943),x9943)+~P4(f3(x9943),x9942,x9943)+P4(f9(x9941,x9942,x9943),f3(x9943),x9943) % 1.04/1.33 [1014]~P49(x10142)+~P24(x10142)+~P4(f9(x10143,x10141,x10142),f3(x10142),x10142)+P4(x10141,f3(x10142),x10142)+P4(x10143,f3(x10142),x10142) % 1.04/1.33 [1015]~P49(x10152)+~P24(x10152)+~P5(f9(x10153,x10151,x10152),f3(x10152),x10152)+P5(x10151,f3(x10152),x10152)+P5(x10153,f3(x10152),x10152) % 1.04/1.33 [1016]~P49(x10162)+~P24(x10162)+~P4(f3(x10162),f9(x10163,x10161,x10162),x10162)+P4(x10161,f3(x10162),x10162)+P4(f3(x10162),x10163,x10162) % 1.04/1.33 [1017]~P49(x10172)+~P24(x10172)+~P4(f3(x10172),f9(x10171,x10173,x10172),x10172)+P4(x10171,f3(x10172),x10172)+P4(f3(x10172),x10173,x10172) % 1.04/1.33 [1018]~P49(x10182)+~P24(x10182)+~P4(f3(x10182),f9(x10183,x10181,x10182),x10182)+P4(x10181,f3(x10182),x10182)+P4(f3(x10182),x10181,x10182) % 1.04/1.33 [1019]~P49(x10192)+~P24(x10192)+~P4(f3(x10192),f9(x10191,x10193,x10192),x10192)+P4(x10191,f3(x10192),x10192)+P4(f3(x10192),x10191,x10192) % 1.04/1.33 [1020]~P49(x10202)+~P24(x10202)+~P5(f3(x10202),f9(x10203,x10201,x10202),x10202)+P5(x10201,f3(x10202),x10202)+P5(f3(x10202),x10203,x10202) % 1.04/1.33 [1021]~P49(x10212)+~P24(x10212)+~P5(f3(x10212),f9(x10211,x10213,x10212),x10212)+P5(x10211,f3(x10212),x10212)+P5(f3(x10212),x10213,x10212) % 1.04/1.33 [1022]~P49(x10222)+~P24(x10222)+~P5(f3(x10222),f9(x10223,x10221,x10222),x10222)+P5(x10221,f3(x10222),x10222)+P5(f3(x10222),x10221,x10222) % 1.04/1.33 [1023]~P49(x10232)+~P24(x10232)+~P5(f3(x10232),f9(x10231,x10233,x10232),x10232)+P5(x10231,f3(x10232),x10232)+P5(f3(x10232),x10231,x10232) % 1.04/1.33 [1024]~P49(x10242)+~P24(x10242)+~P4(f9(x10243,x10241,x10242),f3(x10242),x10242)+P4(x10241,f3(x10242),x10242)+P4(f3(x10242),x10241,x10242) % 1.04/1.33 [1025]~P49(x10252)+~P24(x10252)+~P4(f9(x10251,x10253,x10252),f3(x10252),x10252)+P4(x10251,f3(x10252),x10252)+P4(f3(x10252),x10251,x10252) % 1.04/1.33 [1026]~P49(x10262)+~P24(x10262)+~P5(f9(x10263,x10261,x10262),f3(x10262),x10262)+P5(x10261,f3(x10262),x10262)+P5(f3(x10262),x10261,x10262) % 1.04/1.33 [1027]~P49(x10272)+~P24(x10272)+~P5(f9(x10271,x10273,x10272),f3(x10272),x10272)+P5(x10271,f3(x10272),x10272)+P5(f3(x10272),x10271,x10272) % 1.04/1.33 [1028]~P49(x10281)+~P24(x10281)+~P4(f9(x10282,x10283,x10281),f3(x10281),x10281)+P4(f3(x10281),x10282,x10281)+P4(f3(x10281),x10283,x10281) % 1.04/1.33 [1029]~P49(x10291)+~P24(x10291)+~P5(f9(x10292,x10293,x10291),f3(x10291),x10291)+P5(f3(x10291),x10292,x10291)+P5(f3(x10291),x10293,x10291) % 1.04/1.33 [1085]~P55(x10853)+~P4(x10851,f11(x10853),x10853)+~P4(f3(x10853),x10852,x10853)+~P4(f3(x10853),x10851,x10853)+P4(f12(x10851,x10852,x10853),x10852,x10853) % 1.04/1.33 [1086]~P55(x10863)+~P4(x10862,f11(x10863),x10863)+~P4(f3(x10863),x10862,x10863)+~P4(f3(x10863),x10861,x10863)+P4(f12(x10861,x10862,x10863),x10861,x10863) % 1.04/1.33 [592]~P24(x5922)+~P3(x5922)+~P44(x5922)+~E(f19(x5921,x5922),f3(x5922))+E(f19(x5921,x5922),f9(x5923,f3(x5922),x5922)) % 1.04/1.33 [593]~P24(x5932)+~P3(x5932)+~P44(x5932)+~E(f19(x5933,x5932),f3(x5932))+E(f9(x5931,f3(x5932),x5932),f19(x5933,x5932)) % 1.04/1.33 [600]~P24(x6003)+~P3(x6003)+~P44(x6003)+~E(f19(x6002,x6003),f3(x6003))+E(f9(x6001,f19(x6002,x6003),x6003),f3(x6003)) % 1.04/1.33 [645]~P24(x6452)+~P3(x6452)+~P44(x6452)+E(f19(x6451,x6452),f3(x6452))+~E(f19(x6451,x6452),f9(x6453,f3(x6452),x6452)) % 1.04/1.33 [646]~P24(x6462)+~P3(x6462)+~P44(x6462)+E(f19(x6461,x6462),f3(x6462))+~E(f9(x6463,f3(x6462),x6462),f19(x6461,x6462)) % 1.04/1.33 [834]~P24(x8342)+~P3(x8342)+~P44(x8342)+~E(f19(x8341,x8342),f3(x8342))+E(f9(f12(f19(x8341,x8342),x8343,x8342),x8343,x8342),f19(x8341,x8342)) % 1.04/1.33 [940]~P28(x9404)+~P14(x9404)+~P4(x9401,x9403,x9404)+~P4(f3(x9404),x9402,x9404)+P4(x9401,f7(x9402,x9403,x9404),x9404) % 1.04/1.33 [941]~P28(x9414)+~P14(x9414)+~P4(x9411,x9412,x9414)+~P4(f3(x9414),x9413,x9414)+P4(x9411,f7(x9412,x9413,x9414),x9414) % 1.04/1.33 [942]~P28(x9424)+~P14(x9424)+~P4(x9421,x9423,x9424)+~P5(f3(x9424),x9422,x9424)+P5(x9421,f7(x9422,x9423,x9424),x9424) % 1.04/1.33 [943]~P28(x9434)+~P14(x9434)+~P5(x9431,x9433,x9434)+~P4(f3(x9434),x9432,x9434)+P5(x9431,f7(x9432,x9433,x9434),x9434) % 1.04/1.33 [1108]~P49(x11083)+~P24(x11083)+~P4(x11084,x11081,x11083)+~P4(x11082,f3(x11083),x11083)+P4(f9(x11081,x11082,x11083),f9(x11084,x11082,x11083),x11083) % 1.04/1.33 [1109]~P49(x11093)+~P24(x11093)+~P4(x11091,x11094,x11093)+~P4(f3(x11093),x11092,x11093)+P4(f9(x11091,x11092,x11093),f9(x11094,x11092,x11093),x11093) % 1.04/1.33 [1142]~P49(x11424)+~P24(x11424)+~P5(f3(x11424),x11423,x11424)+~P4(f9(x11421,x11423,x11424),x11422,x11424)+P4(x11421,f12(x11422,x11423,x11424),x11424) % 1.04/1.33 [1144]~P49(x11444)+~P24(x11444)+~P5(f3(x11444),x11443,x11444)+~P5(f9(x11441,x11443,x11444),x11442,x11444)+P5(x11441,f12(x11442,x11443,x11444),x11444) % 1.04/1.33 [1146]~P49(x11463)+~P24(x11463)+~P5(f3(x11463),x11462,x11463)+~P4(x11461,f9(x11464,x11462,x11463),x11463)+P4(f12(x11461,x11462,x11463),x11464,x11463) % 1.04/1.33 [1148]~P49(x11483)+~P24(x11483)+~P5(f3(x11483),x11482,x11483)+~P5(x11481,f9(x11484,x11482,x11483),x11483)+P5(f12(x11481,x11482,x11483),x11484,x11483) % 1.04/1.33 [1257]~P49(x12573)+~P5(x12572,x12574,x12573)+~P5(x12571,f3(x12573),x12573)+~P5(f3(x12573),f12(x12572,x12574,x12573),x12573)+P5(f9(x12571,x12572,x12573),f9(x12571,x12574,x12573),x12573) % 1.04/1.33 [1258]~P49(x12583)+~P4(x12584,x12582,x12583)+~P4(f3(x12583),x12581,x12583)+~P5(f3(x12583),f12(x12582,x12584,x12583),x12583)+P4(f9(x12581,x12582,x12583),f9(x12581,x12584,x12583),x12583) % 1.04/1.33 [1259]~P49(x12593)+~P5(x12594,x12592,x12593)+~P5(f3(x12593),x12591,x12593)+~P5(f3(x12593),f12(x12592,x12594,x12593),x12593)+P5(f9(x12591,x12592,x12593),f9(x12591,x12594,x12593),x12593) % 1.04/1.33 [859]~P44(x8592)+~E(f9(x8594,x8593,x8592),f9(x8595,x8591,x8592))+E(f12(x8594,x8591,x8592),f12(x8595,x8593,x8592))+E(x8591,f3(x8592))+E(x8593,f3(x8592)) % 1.04/1.33 [860]~P44(x8602)+~E(f12(x8604,x8603,x8602),f12(x8605,x8601,x8602))+E(f9(x8604,x8601,x8602),f9(x8605,x8603,x8602))+E(x8601,f3(x8602))+E(x8603,f3(x8602)) % 1.04/1.33 [1150]~P47(x11504)+~P7(x11504)+E(x11501,x11502)+E(x11503,f3(x11504))+~E(f7(x11505,f12(x11503,x11501,x11504),x11504),f7(x11505,f12(x11503,x11502,x11504),x11504)) % 1.04/1.33 [1303]~P47(x13035)+~P7(x13035)+E(x13031,x13032)+E(x13033,x13034)+~E(f7(f12(x13033,x13031,x13035),f12(x13034,x13032,x13035),x13035),f7(f12(x13033,x13032,x13035),f12(x13034,x13031,x13035),x13035)) % 1.04/1.33 [1363]P5(x13631,x13632,a13)+~P5(f25(x13631),f25(x13632),a13)+~P5(x13632,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P5(x13631,f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13)+~P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13631,a13)+~P5(f4(f9(a16,f19(f7(f2(a18),f2(a18),a14),a13),a13),a13),x13632,a13) % 1.04/1.33 [1010]~P49(x10102)+~P24(x10102)+P5(x10101,f3(x10102),x10102)+P5(f3(x10102),x10101,x10102)+~P4(x10103,f3(x10102),x10102)+P4(x10103,f9(x10104,x10101,x10102),x10102) % 1.04/1.33 [1011]~P49(x10112)+~P24(x10112)+P5(x10111,f3(x10112),x10112)+P5(f3(x10112),x10111,x10112)+~P5(x10113,f3(x10112),x10112)+P5(x10113,f9(x10114,x10111,x10112),x10112) % 1.04/1.33 [1012]~P49(x10122)+~P24(x10122)+P5(x10121,f3(x10122),x10122)+P5(f3(x10122),x10121,x10122)+~P4(f3(x10122),x10124,x10122)+P4(f9(x10123,x10121,x10122),x10124,x10122) % 1.04/1.33 [1013]~P49(x10132)+~P24(x10132)+P5(x10131,f3(x10132),x10132)+P5(f3(x10132),x10131,x10132)+~P5(f3(x10132),x10134,x10132)+P5(f9(x10133,x10131,x10132),x10134,x10132) % 1.04/1.33 [1081]~P49(x10812)+~P24(x10812)+P4(x10811,f3(x10812),x10812)+P5(f3(x10812),x10813,x10812)+~P4(x10811,f9(x10814,x10813,x10812),x10812)+P5(x10813,f3(x10812),x10812) % 1.04/1.33 [1082]~P49(x10822)+~P24(x10822)+P5(x10821,f3(x10822),x10822)+P5(f3(x10822),x10821,x10822)+~P5(x10823,f9(x10824,x10821,x10822),x10822)+P5(x10823,f3(x10822),x10822) % 1.04/1.33 [1083]~P49(x10832)+~P24(x10832)+P5(x10831,f3(x10832),x10832)+P5(f3(x10832),x10831,x10832)+~P4(f9(x10834,x10831,x10832),x10833,x10832)+P4(f3(x10832),x10833,x10832) % 1.04/1.33 [1084]~P49(x10842)+~P24(x10842)+P5(x10841,f3(x10842),x10842)+P5(f3(x10842),x10841,x10842)+~P5(f9(x10844,x10841,x10842),x10843,x10842)+P5(f3(x10842),x10843,x10842) % 1.04/1.33 [1191]~P49(x11912)+~P24(x11912)+~P4(f12(x11913,x11911,x11912),x11914,x11912)+P5(x11911,f3(x11912),x11912)+~P4(x11913,f3(x11912),x11912)+P4(x11913,f9(x11914,x11911,x11912),x11912) % 1.04/1.33 [1192]~P49(x11922)+~P24(x11922)+~P5(f12(x11923,x11921,x11922),x11924,x11922)+P5(x11921,f3(x11922),x11922)+~P5(x11923,f3(x11922),x11922)+P5(x11923,f9(x11924,x11921,x11922),x11922) % 1.04/1.33 [1193]~P49(x11932)+~P24(x11932)+~P4(x11933,f12(x11934,x11931,x11932),x11932)+P5(x11931,f3(x11932),x11932)+~P4(f3(x11932),x11934,x11932)+P4(f9(x11933,x11931,x11932),x11934,x11932) % 1.04/1.33 [1194]~P49(x11942)+~P24(x11942)+~P5(x11943,f12(x11944,x11941,x11942),x11942)+P5(x11941,f3(x11942),x11942)+~P5(f3(x11942),x11944,x11942)+P5(f9(x11943,x11941,x11942),x11944,x11942) % 1.04/1.33 [1195]~P49(x11951)+~P24(x11951)+~P4(x11954,f9(x11953,x11952,x11951),x11951)+~P5(x11952,f3(x11951),x11951)+P5(f3(x11951),x11952,x11951)+P4(x11953,f12(x11954,x11952,x11951),x11951) % 1.04/1.33 [1196]~P49(x11961)+~P24(x11961)+~P4(x11964,f12(x11963,x11962,x11961),x11961)+~P4(x11963,f3(x11961),x11961)+P5(f3(x11961),x11962,x11961)+P4(x11963,f9(x11964,x11962,x11961),x11961) % 1.04/1.33 [1197]~P49(x11971)+~P24(x11971)+~P4(x11974,f12(x11973,x11972,x11971),x11971)+~P5(x11972,f3(x11971),x11971)+P5(f3(x11971),x11972,x11971)+P4(x11973,f9(x11974,x11972,x11971),x11971) % 1.04/1.34 [1198]~P49(x11981)+~P24(x11981)+~P5(x11984,f9(x11983,x11982,x11981),x11981)+~P5(x11982,f3(x11981),x11981)+P5(f3(x11981),x11982,x11981)+P5(x11983,f12(x11984,x11982,x11981),x11981) % 1.04/1.34 [1199]~P49(x11991)+~P24(x11991)+~P5(x11994,f12(x11993,x11992,x11991),x11991)+~P5(x11992,f3(x11991),x11991)+P5(f3(x11991),x11992,x11991)+P5(x11993,f9(x11994,x11992,x11991),x11991) % 1.04/1.34 [1200]~P49(x12001)+~P24(x12001)+~P5(x12004,f12(x12003,x12002,x12001),x12001)+~P5(x12003,f3(x12001),x12001)+P5(f3(x12001),x12002,x12001)+P5(x12003,f9(x12004,x12002,x12001),x12001) % 1.04/1.34 [1201]~P49(x12011)+~P24(x12011)+~P4(f9(x12014,x12012,x12011),x12013,x12011)+~P5(x12012,f3(x12011),x12011)+P5(f3(x12011),x12012,x12011)+P4(f12(x12013,x12012,x12011),x12014,x12011) % 1.04/1.34 [1202]~P49(x12021)+~P24(x12021)+~P4(f12(x12024,x12022,x12021),x12023,x12021)+~P5(x12022,f3(x12021),x12021)+P5(f3(x12021),x12022,x12021)+P4(f9(x12023,x12022,x12021),x12024,x12021) % 1.04/1.34 [1203]~P49(x12031)+~P24(x12031)+~P5(f9(x12034,x12032,x12031),x12033,x12031)+~P5(x12032,f3(x12031),x12031)+P5(f3(x12031),x12032,x12031)+P5(f12(x12033,x12032,x12031),x12034,x12031) % 1.04/1.34 [1204]~P49(x12041)+~P24(x12041)+~P5(f12(x12044,x12042,x12041),x12043,x12041)+~P5(x12042,f3(x12041),x12041)+P5(f3(x12041),x12042,x12041)+P5(f9(x12043,x12042,x12041),x12044,x12041) % 1.04/1.34 [1205]~P49(x12051)+~P24(x12051)+~P4(f12(x12054,x12052,x12051),x12053,x12051)+~P4(f3(x12051),x12054,x12051)+P5(f3(x12051),x12052,x12051)+P4(f9(x12053,x12052,x12051),x12054,x12051) % 1.04/1.34 [1206]~P49(x12061)+~P24(x12061)+~P5(f12(x12064,x12062,x12061),x12063,x12061)+~P5(f3(x12061),x12064,x12061)+P5(f3(x12061),x12062,x12061)+P5(f9(x12063,x12062,x12061),x12064,x12061) % 1.04/1.34 [1260]~P49(x12603)+~P24(x12603)+~P4(x12602,x12604,x12603)+~P4(x12601,f3(x12603),x12603)+~P5(f3(x12603),f12(x12602,x12604,x12603),x12603)+P4(f9(x12601,x12602,x12603),f9(x12601,x12604,x12603),x12603) % 1.04/1.34 [1281]~P49(x12814)+~P24(x12814)+~P4(x12811,f3(x12814),x12814)+~P4(x12812,f12(x12811,x12813,x12814),x12814)+~P4(f12(x12811,x12813,x12814),x12812,x12814)+P4(x12811,f9(x12812,x12813,x12814),x12814) % 1.04/1.34 [1282]~P49(x12824)+~P24(x12824)+~P5(x12823,f3(x12824),x12824)+~P4(x12822,f12(x12821,x12823,x12824),x12824)+~P4(f12(x12821,x12823,x12824),x12822,x12824)+P4(x12821,f9(x12822,x12823,x12824),x12824) % 1.04/1.34 [1283]~P49(x12834)+~P24(x12834)+~P5(x12833,f3(x12834),x12834)+~P5(x12832,f12(x12831,x12833,x12834),x12834)+~P5(f12(x12831,x12833,x12834),x12832,x12834)+P5(x12831,f9(x12832,x12833,x12834),x12834) % 1.04/1.34 [1284]~P49(x12844)+~P24(x12844)+~P5(x12841,f3(x12844),x12844)+~P5(x12842,f12(x12841,x12843,x12844),x12844)+~P5(f12(x12841,x12843,x12844),x12842,x12844)+P5(x12841,f9(x12842,x12843,x12844),x12844) % 1.04/1.34 [1285]~P49(x12853)+~P24(x12853)+~P5(x12852,f3(x12853),x12853)+~P4(x12851,f12(x12854,x12852,x12853),x12853)+~P4(f12(x12854,x12852,x12853),x12851,x12853)+P4(f9(x12851,x12852,x12853),x12854,x12853) % 1.04/1.34 [1286]~P49(x12863)+~P24(x12863)+~P5(x12862,f3(x12863),x12863)+~P5(x12861,f12(x12864,x12862,x12863),x12863)+~P5(f12(x12864,x12862,x12863),x12861,x12863)+P5(f9(x12861,x12862,x12863),x12864,x12863) % 1.04/1.34 [1287]~P49(x12873)+~P24(x12873)+~P4(f3(x12873),x12874,x12873)+~P4(x12871,f12(x12874,x12872,x12873),x12873)+~P4(f12(x12874,x12872,x12873),x12871,x12873)+P4(f9(x12871,x12872,x12873),x12874,x12873) % 1.04/1.34 [1288]~P49(x12883)+~P24(x12883)+~P5(f3(x12883),x12884,x12883)+~P5(x12881,f12(x12884,x12882,x12883),x12883)+~P5(f12(x12884,x12882,x12883),x12881,x12883)+P5(f9(x12881,x12882,x12883),x12884,x12883) % 1.04/1.34 [774]~P24(x7742)+~P3(x7742)+~P44(x7742)+~E(f9(x7743,x7741,x7742),f19(x7744,x7742))+E(x7741,f3(x7742))+E(x7743,f12(f19(x7744,x7742),x7741,x7742)) % 1.04/1.34 [775]~P24(x7752)+~P3(x7752)+~P44(x7752)+~E(f19(x7753,x7752),f9(x7754,x7751,x7752))+E(x7751,f3(x7752))+E(f12(f19(x7753,x7752),x7751,x7752),x7754) % 1.04/1.34 [1222]~P63(x12223)+~P4(x12222,x12225,x12223)+~P4(x12221,x12224,x12223)+~P4(f3(x12223),x12224,x12223)+~P4(f3(x12223),x12222,x12223)+P4(f12(x12221,x12222,x12223),f12(x12224,x12225,x12223),x12223) % 1.04/1.34 [1223]~P63(x12233)+~P4(x12232,x12235,x12233)+~P4(x12231,x12234,x12233)+~P4(f3(x12233),x12232,x12233)+~P4(f3(x12233),x12231,x12233)+P4(f12(x12231,x12232,x12233),f12(x12234,x12235,x12233),x12233) % 1.04/1.34 [1224]~P49(x12243)+~P4(x12245,x12242,x12243)+~P4(x12241,x12244,x12243)+~P4(f3(x12243),x12241,x12243)+~P5(f3(x12243),x12245,x12243)+P4(f9(x12241,x12242,x12243),f9(x12244,x12245,x12243),x12243) % 1.04/1.34 [1225]~P53(x12253)+~P4(x12252,x12255,x12253)+~P5(x12251,x12254,x12253)+~P4(f3(x12253),x12251,x12253)+~P5(f3(x12253),x12252,x12253)+P5(f12(x12251,x12252,x12253),f12(x12254,x12255,x12253),x12253) % 1.04/1.34 [1226]~P53(x12263)+~P4(x12261,x12264,x12263)+~P5(x12262,x12265,x12263)+~P4(f3(x12263),x12262,x12263)+~P5(f3(x12263),x12261,x12263)+P5(f12(x12261,x12262,x12263),f12(x12264,x12265,x12263),x12263) % 1.04/1.34 [1227]~P53(x12273)+~P5(x12272,x12275,x12273)+~P5(x12271,x12274,x12273)+~P4(f3(x12273),x12272,x12273)+~P4(f3(x12273),x12271,x12273)+P5(f12(x12271,x12272,x12273),f12(x12274,x12275,x12273),x12273) % 1.04/1.34 [1228]~P53(x12283)+~P5(x12282,x12285,x12283)+~P5(x12281,x12284,x12283)+~P4(f3(x12283),x12282,x12283)+~P5(f3(x12283),x12284,x12283)+P5(f12(x12281,x12282,x12283),f12(x12284,x12285,x12283),x12283) % 1.04/1.34 [1229]~P49(x12293)+~P4(x12295,x12292,x12293)+~P5(x12291,x12294,x12293)+~P4(f3(x12293),x12291,x12293)+~P5(f3(x12293),x12295,x12293)+P5(f9(x12291,x12292,x12293),f9(x12294,x12295,x12293),x12293) % 1.04/1.34 [1230]~P49(x12303)+~P4(x12301,x12304,x12303)+~P5(x12305,x12302,x12303)+~P5(f3(x12303),x12305,x12303)+~P5(f3(x12303),x12301,x12303)+P5(f9(x12301,x12302,x12303),f9(x12304,x12305,x12303),x12303) % 1.04/1.34 %EqnAxiom % 1.04/1.34 [1]E(x11,x11) % 1.04/1.34 [2]E(x22,x21)+~E(x21,x22) % 1.04/1.34 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.04/1.34 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.04/1.34 [5]~E(x51,x52)+E(f4(x51,x53),f4(x52,x53)) % 1.04/1.34 [6]~E(x61,x62)+E(f4(x63,x61),f4(x63,x62)) % 1.04/1.34 [7]~E(x71,x72)+E(f3(x71),f3(x72)) % 1.04/1.34 [8]~E(x81,x82)+E(f25(x81),f25(x82)) % 1.04/1.34 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93)) % 1.04/1.34 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102)) % 1.04/1.34 [11]~E(x111,x112)+E(f17(x111),f17(x112)) % 1.04/1.34 [12]~E(x121,x122)+E(f8(x121,x123,x124),f8(x122,x123,x124)) % 1.04/1.34 [13]~E(x131,x132)+E(f8(x133,x131,x134),f8(x133,x132,x134)) % 1.04/1.34 [14]~E(x141,x142)+E(f8(x143,x144,x141),f8(x143,x144,x142)) % 1.04/1.34 [15]~E(x151,x152)+E(f12(x151,x153,x154),f12(x152,x153,x154)) % 1.04/1.34 [16]~E(x161,x162)+E(f12(x163,x161,x164),f12(x163,x162,x164)) % 1.04/1.34 [17]~E(x171,x172)+E(f12(x173,x174,x171),f12(x173,x174,x172)) % 1.04/1.34 [18]~E(x181,x182)+E(f7(x181,x183,x184),f7(x182,x183,x184)) % 1.04/1.34 [19]~E(x191,x192)+E(f7(x193,x191,x194),f7(x193,x192,x194)) % 1.04/1.34 [20]~E(x201,x202)+E(f7(x203,x204,x201),f7(x203,x204,x202)) % 1.04/1.34 [21]~E(x211,x212)+E(f24(x211,x213,x214),f24(x212,x213,x214)) % 1.04/1.34 [22]~E(x221,x222)+E(f24(x223,x221,x224),f24(x223,x222,x224)) % 1.04/1.34 [23]~E(x231,x232)+E(f24(x233,x234,x231),f24(x233,x234,x232)) % 1.04/1.34 [24]~E(x241,x242)+E(f19(x241,x243),f19(x242,x243)) % 1.04/1.34 [25]~E(x251,x252)+E(f19(x253,x251),f19(x253,x252)) % 1.04/1.34 [26]~E(x261,x262)+E(f20(x261),f20(x262)) % 1.04/1.34 [27]~E(x271,x272)+E(f9(x271,x273,x274),f9(x272,x273,x274)) % 1.04/1.34 [28]~E(x281,x282)+E(f9(x283,x281,x284),f9(x283,x282,x284)) % 1.04/1.34 [29]~E(x291,x292)+E(f9(x293,x294,x291),f9(x293,x294,x292)) % 1.04/1.34 [30]~E(x301,x302)+E(f5(x301,x303),f5(x302,x303)) % 1.04/1.34 [31]~E(x311,x312)+E(f5(x313,x311),f5(x313,x312)) % 1.04/1.34 [32]~E(x321,x322)+E(f23(x321,x323),f23(x322,x323)) % 1.04/1.34 [33]~E(x331,x332)+E(f23(x333,x331),f23(x333,x332)) % 1.04/1.34 [34]~E(x341,x342)+E(f26(x341),f26(x342)) % 1.04/1.34 [35]~E(x351,x352)+E(f11(x351),f11(x352)) % 1.04/1.34 [36]~E(x361,x362)+E(f27(x361),f27(x362)) % 1.04/1.34 [37]~E(x371,x372)+E(f34(x371),f34(x372)) % 1.04/1.34 [38]~E(x381,x382)+E(f22(x381,x383,x384),f22(x382,x383,x384)) % 1.04/1.34 [39]~E(x391,x392)+E(f22(x393,x391,x394),f22(x393,x392,x394)) % 1.04/1.34 [40]~E(x401,x402)+E(f22(x403,x404,x401),f22(x403,x404,x402)) % 1.04/1.34 [41]~E(x411,x412)+E(f21(x411,x413),f21(x412,x413)) % 1.04/1.34 [42]~E(x421,x422)+E(f21(x423,x421),f21(x423,x422)) % 1.04/1.34 [43]~E(x431,x432)+E(f28(x431,x433),f28(x432,x433)) % 1.04/1.34 [44]~E(x441,x442)+E(f28(x443,x441),f28(x443,x442)) % 1.04/1.34 [45]~E(x451,x452)+E(f6(x451,x453,x454),f6(x452,x453,x454)) % 1.04/1.34 [46]~E(x461,x462)+E(f6(x463,x461,x464),f6(x463,x462,x464)) % 1.04/1.34 [47]~E(x471,x472)+E(f6(x473,x474,x471),f6(x473,x474,x472)) % 1.04/1.34 [48]~E(x481,x482)+E(f35(x481),f35(x482)) % 1.04/1.34 [49]~E(x491,x492)+E(f39(x491,x493,x494),f39(x492,x493,x494)) % 1.04/1.34 [50]~E(x501,x502)+E(f39(x503,x501,x504),f39(x503,x502,x504)) % 1.04/1.34 [51]~E(x511,x512)+E(f39(x513,x514,x511),f39(x513,x514,x512)) % 1.04/1.34 [52]~P1(x521)+P1(x522)+~E(x521,x522) % 1.04/1.34 [53]P5(x532,x533,x534)+~E(x531,x532)+~P5(x531,x533,x534) % 1.04/1.34 [54]P5(x543,x542,x544)+~E(x541,x542)+~P5(x543,x541,x544) % 1.34/1.34 [55]P5(x553,x554,x552)+~E(x551,x552)+~P5(x553,x554,x551) % 1.34/1.34 [56]P4(x562,x563,x564)+~E(x561,x562)+~P4(x561,x563,x564) % 1.34/1.34 [57]P4(x573,x572,x574)+~E(x571,x572)+~P4(x573,x571,x574) % 1.34/1.34 [58]P4(x583,x584,x582)+~E(x581,x582)+~P4(x583,x584,x581) % 1.34/1.34 [59]~P49(x591)+P49(x592)+~E(x591,x592) % 1.34/1.34 [60]~P53(x601)+P53(x602)+~E(x601,x602) % 1.34/1.34 [61]~P54(x611)+P54(x612)+~E(x611,x612) % 1.34/1.34 [62]~P3(x621)+P3(x622)+~E(x621,x622) % 1.34/1.34 [63]~P24(x631)+P24(x632)+~E(x631,x632) % 1.34/1.34 [64]~P32(x641)+P32(x642)+~E(x641,x642) % 1.34/1.34 [65]~P2(x651)+P2(x652)+~E(x651,x652) % 1.34/1.34 [66]~P33(x661)+P33(x662)+~E(x661,x662) % 1.34/1.34 [67]~P19(x671)+P19(x672)+~E(x671,x672) % 1.34/1.34 [68]~P34(x681)+P34(x682)+~E(x681,x682) % 1.34/1.34 [69]~P25(x691)+P25(x692)+~E(x691,x692) % 1.34/1.34 [70]~P64(x701)+P64(x702)+~E(x701,x702) % 1.34/1.34 [71]~P44(x711)+P44(x712)+~E(x711,x712) % 1.34/1.34 [72]~P28(x721)+P28(x722)+~E(x721,x722) % 1.34/1.34 [73]~P58(x731)+P58(x732)+~E(x731,x732) % 1.34/1.34 [74]~P55(x741)+P55(x742)+~E(x741,x742) % 1.34/1.34 [75]~P31(x751)+P31(x752)+~E(x751,x752) % 1.34/1.34 [76]~P35(x761)+P35(x762)+~E(x761,x762) % 1.34/1.34 [77]~P26(x771)+P26(x772)+~E(x771,x772) % 1.34/1.34 [78]~P40(x781)+P40(x782)+~E(x781,x782) % 1.34/1.34 [79]~P12(x791)+P12(x792)+~E(x791,x792) % 1.34/1.34 [80]~P7(x801)+P7(x802)+~E(x801,x802) % 1.34/1.34 [81]~P62(x811)+P62(x812)+~E(x811,x812) % 1.34/1.34 [82]~P60(x821)+P60(x822)+~E(x821,x822) % 1.34/1.34 [83]~P45(x831)+P45(x832)+~E(x831,x832) % 1.34/1.34 [84]~P66(x841)+P66(x842)+~E(x841,x842) % 1.34/1.34 [85]~P57(x851)+P57(x852)+~E(x851,x852) % 1.34/1.34 [86]~P61(x861)+P61(x862)+~E(x861,x862) % 1.34/1.34 [87]~P52(x871)+P52(x872)+~E(x871,x872) % 1.34/1.34 [88]~P20(x881)+P20(x882)+~E(x881,x882) % 1.34/1.34 [89]~P41(x891)+P41(x892)+~E(x891,x892) % 1.34/1.34 [90]~P22(x901)+P22(x902)+~E(x901,x902) % 1.34/1.34 [91]~P36(x911)+P36(x912)+~E(x911,x912) % 1.34/1.34 [92]~P47(x921)+P47(x922)+~E(x921,x922) % 1.34/1.34 [93]~P50(x931)+P50(x932)+~E(x931,x932) % 1.34/1.34 [94]~P11(x941)+P11(x942)+~E(x941,x942) % 1.34/1.34 [95]~P9(x951)+P9(x952)+~E(x951,x952) % 1.34/1.34 [96]~P30(x961)+P30(x962)+~E(x961,x962) % 1.34/1.34 [97]~P27(x971)+P27(x972)+~E(x971,x972) % 1.34/1.34 [98]~P23(x981)+P23(x982)+~E(x981,x982) % 1.34/1.34 [99]~P21(x991)+P21(x992)+~E(x991,x992) % 1.34/1.34 [100]~P56(x1001)+P56(x1002)+~E(x1001,x1002) % 1.34/1.34 [101]P6(x1012,x1013)+~E(x1011,x1012)+~P6(x1011,x1013) % 1.34/1.34 [102]P6(x1023,x1022)+~E(x1021,x1022)+~P6(x1023,x1021) % 1.34/1.34 [103]~P38(x1031)+P38(x1032)+~E(x1031,x1032) % 1.34/1.34 [104]~P46(x1041)+P46(x1042)+~E(x1041,x1042) % 1.34/1.34 [105]~P14(x1051)+P14(x1052)+~E(x1051,x1052) % 1.34/1.34 [106]~P43(x1061)+P43(x1062)+~E(x1061,x1062) % 1.34/1.34 [107]~P59(x1071)+P59(x1072)+~E(x1071,x1072) % 1.34/1.34 [108]~P8(x1081)+P8(x1082)+~E(x1081,x1082) % 1.34/1.34 [109]~P65(x1091)+P65(x1092)+~E(x1091,x1092) % 1.34/1.34 [110]~P48(x1101)+P48(x1102)+~E(x1101,x1102) % 1.34/1.34 [111]~P10(x1111)+P10(x1112)+~E(x1111,x1112) % 1.34/1.34 [112]~P39(x1121)+P39(x1122)+~E(x1121,x1122) % 1.34/1.34 [113]~P13(x1131)+P13(x1132)+~E(x1131,x1132) % 1.34/1.34 [114]~P16(x1141)+P16(x1142)+~E(x1141,x1142) % 1.34/1.34 [115]~P18(x1151)+P18(x1152)+~E(x1151,x1152) % 1.34/1.34 [116]~P42(x1161)+P42(x1162)+~E(x1161,x1162) % 1.34/1.34 [117]~P37(x1171)+P37(x1172)+~E(x1171,x1172) % 1.34/1.34 [118]~P17(x1181)+P17(x1182)+~E(x1181,x1182) % 1.34/1.34 [119]~P51(x1191)+P51(x1192)+~E(x1191,x1192) % 1.34/1.34 [120]~P29(x1201)+P29(x1202)+~E(x1201,x1202) % 1.34/1.34 [121]~P63(x1211)+P63(x1212)+~E(x1211,x1212) % 1.34/1.34 [122]~P15(x1221)+P15(x1222)+~E(x1221,x1222) % 1.34/1.34 % 1.34/1.34 %------------------------------------------- % 1.34/1.34 cnf(1399,plain, % 1.34/1.34 ($false), % 1.34/1.34 inference(scs_inference,[],[401,336,1360,1041]), % 1.34/1.34 ['proof']). % 1.34/1.34 % SZS output end Proof % 1.34/1.34 % Total time :0.110000s %------------------------------------------------------------------------------